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+ ---
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+ language:
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+ - en
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+ license: apache-2.0
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+ task_categories:
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+ - image-classification
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+ - image-to-text
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+ - computer-vision
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+ - table-regression
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+ - tabular-classification
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+ tags:
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+ - mathematics
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+ - number-theory
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+ - elliptic-curves
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+ - bsd-conjecture
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+ - scientific-computing
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+ - algebraic-geometry
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+ - multimodal
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+ - time-lapse
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+ - geometry
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+ - number-theory
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+ - elliptic-curves
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+ size_categories:
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+ - 100K<n<1M
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+ ---
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+
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+ ## BSD Conjecture Dataset
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+
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+ The BSD conjecture dataset concerns the Birch and Swinnerton-Dyer (BSD) Conjecture, a Millennium Prize problem in number
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+ theory. It typically contains numerical data on elliptic curves, such as coefficients, ranks, and L-function values, relevant for
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+ computational verification or machine learning applications in arithmetic geometry. The Birch and Swinnerton-Dyer (BSD) Conjecture
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+ Dataset is a collection of computational data relating to elliptic curves and their associated L-functions. This dataset is designed
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+ to support machine learning research in arithmetic geometry, specifically for predicting properties like the rank of an elliptic
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+ curve from its analytic invariants.Dataset SummaryThe Birch and Swinnerton-Dyer conjecture is a Millennium Prize Problem that
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+ connects the algebraic rank of an elliptic curve to the behavior of its L-function at a critical point. This dataset provides the
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+ necessary numerical features (coefficients, conductors, and L-values) to explore these relationships empirically.Supported TasksRank
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+ Regression: Predict the algebraic rank of an elliptic curve as a continuous or integer value based on analytic data.Analytic Rank
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+ Classification: Classify curves into rank categories (e.g., Rank 0 vs. Rank 1).Feature Exploration: Study the correlation between
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+ coefficients \(a_{1},a_{2},\dots \) and the curve's global invariants.Dataset StructureThe data is typically provided in a tabular
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+ format (CSV or Parquet).
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+
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+ Common columns include:
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+
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+ curve_id:
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+
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+ Unique identifier for the elliptic curve.
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+
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+ coefficients:
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+
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+ The \([a_{1},a_{2},a_{3},a_{4},a_{6}]\) coefficients defining the curve.
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+
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+ conductor:
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+
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+ The conductor \(N\) of the curve.rank:
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+
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+ The algebraic rank (target variable).l_value: The value or derivative of the L-function at \(s=1\).
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+
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+
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+ If you use this dataset in your research, please cite the original repository:
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+
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+ bibtex@misc{bsd_conjecture_dataset,
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+ author = {webxos},
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+ title = {Birch and Swinnerton-Dyer Conjecture Dataset},
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+ year = {2026},
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+ publisher = {webXOS},
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+ journal = {2026},
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+ howpublished = {\url{webxos.netlify.app}}
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+ }