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{
"name": "bsd_conjecture_dataset_006",
"created": "2026-01-08T08:11:12.247Z",
"sample_count": 97,
"parameters_range": {
"a": {
"min": -5.2,
"max": -2,
"mean": -3.649484536082472
},
"b": {
"min": -5.4,
"max": 5.2,
"mean": 0.06391752577319154
},
"rank": {
"min": 3,
"max": 9,
"mode": {
"3": 47,
"9": 50
}
}
},
"samples": [
{
"id": "bsd_000550",
"elliptic_curve": {
"equation": "y² = x³ + -5.20x + 5.20",
"parameter_a": -5.2,
"parameter_b": 5.2,
"discriminant": -2682.3679999999986,
"j_invariant": -5797.161290322585,
"conductor": 2682,
"rank": 9
},
"bsd_conjecture": {
"l_function_order": 9,
"sha_group_size": 3
},
"image_file": "bsd_000550.jpg"
},
{
"id": "bsd_000551",
"elliptic_curve": {
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"parameter_a": -5.2,
"parameter_b": 5.2,
"discriminant": -2682.3679999999986,
"j_invariant": -5797.161290322585,
"conductor": 2682,
"rank": 9
},
"bsd_conjecture": {
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"sha_group_size": 4
},
"image_file": "bsd_000551.jpg"
},
{
"id": "bsd_000552",
"elliptic_curve": {
"equation": "y² = x³ + -5.20x + 5.20",
"parameter_a": -5.2,
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"discriminant": -2682.3679999999986,
"j_invariant": -5797.161290322585,
"conductor": 2682,
"rank": 9
},
"bsd_conjecture": {
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"sha_group_size": 3
},
"image_file": "bsd_000552.jpg"
},
{
"id": "bsd_000553",
"elliptic_curve": {
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"discriminant": -2682.3679999999986,
"j_invariant": -5797.161290322585,
"conductor": 2682,
"rank": 9
},
"bsd_conjecture": {
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"sha_group_size": 4
},
"image_file": "bsd_000553.jpg"
},
{
"id": "bsd_000554",
"elliptic_curve": {
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"discriminant": -2682.3679999999986,
"j_invariant": -5797.161290322585,
"conductor": 2682,
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},
"bsd_conjecture": {
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},
"image_file": "bsd_000554.jpg"
},
{
"id": "bsd_000555",
"elliptic_curve": {
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"conductor": 2682,
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},
"bsd_conjecture": {
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"sha_group_size": 5
},
"image_file": "bsd_000555.jpg"
},
{
"id": "bsd_000556",
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"j_invariant": -5797.161290322585,
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},
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},
"image_file": "bsd_000556.jpg"
},
{
"id": "bsd_000557",
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},
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},
"image_file": "bsd_000557.jpg"
},
{
"id": "bsd_000558",
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},
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},
"image_file": "bsd_000558.jpg"
},
{
"id": "bsd_000559",
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},
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},
"image_file": "bsd_000559.jpg"
},
{
"id": "bsd_000560",
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},
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},
"image_file": "bsd_000560.jpg"
},
{
"id": "bsd_000561",
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},
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},
{
"id": "bsd_000562",
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},
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},
{
"id": "bsd_000563",
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},
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},
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},
{
"id": "bsd_000564",
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},
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},
"image_file": "bsd_000564.jpg"
},
{
"id": "bsd_000565",
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},
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},
{
"id": "bsd_000566",
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},
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},
{
"id": "bsd_000567",
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},
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},
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},
{
"id": "bsd_000568",
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},
{
"id": "bsd_000569",
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},
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},
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},
{
"id": "bsd_000570",
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},
{
"id": "bsd_000571",
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},
{
"id": "bsd_000572",
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},
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},
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},
{
"id": "bsd_000573",
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},
"image_file": "bsd_000573.jpg"
},
{
"id": "bsd_000574",
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},
"image_file": "bsd_000574.jpg"
},
{
"id": "bsd_000575",
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},
{
"id": "bsd_000576",
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},
{
"id": "bsd_000577",
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},
{
"id": "bsd_000578",
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},
{
"id": "bsd_000579",
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},
{
"id": "bsd_000580",
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},
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},
{
"id": "bsd_000581",
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},
{
"id": "bsd_000582",
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},
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},
{
"id": "bsd_000583",
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},
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},
"image_file": "bsd_000583.jpg"
},
{
"id": "bsd_000584",
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"image_file": "bsd_000584.jpg"
},
{
"id": "bsd_000585",
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},
"image_file": "bsd_000585.jpg"
},
{
"id": "bsd_000586",
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},
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},
{
"id": "bsd_000587",
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},
{
"id": "bsd_000588",
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},
{
"id": "bsd_000589",
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},
{
"id": "bsd_000590",
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},
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},
{
"id": "bsd_000591",
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"image_file": "bsd_000591.jpg"
},
{
"id": "bsd_000592",
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},
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},
"image_file": "bsd_000592.jpg"
},
{
"id": "bsd_000593",
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},
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},
"image_file": "bsd_000593.jpg"
},
{
"id": "bsd_000594",
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},
"image_file": "bsd_000594.jpg"
},
{
"id": "bsd_000595",
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"image_file": "bsd_000595.jpg"
},
{
"id": "bsd_000596",
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"discriminant": -12085.12,
"j_invariant": -73.20870624371128,
"conductor": 12085,
"rank": 3
},
"bsd_conjecture": {
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"sha_group_size": 1
},
"image_file": "bsd_000645.jpg"
},
{
"id": "bsd_000646",
"elliptic_curve": {
"equation": "y² = x³ + -2.00x + -5.40",
"parameter_a": -2,
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"discriminant": -12085.12,
"j_invariant": -73.20870624371128,
"conductor": 12085,
"rank": 3
},
"bsd_conjecture": {
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},
"image_file": "bsd_000646.jpg"
}
]
}