Torsional Resolution of the Birch–Swinnerton–Dyer Conjecture in the Megasphere Theory (BSD–TOMA v1.2) A Torsion-Based Analytical Framework within the Onto–Mathematical Theory of the Megasphere (TOMA 2025)

English edition of BSD–TOMA.Torsional framework for the Birch–Swinnerton–Dyer Conjecture based on the Megasphere Theory.Numerical verification confirms the Savia–height equivalence .. Verified Numerical Result (BSD–TOMA v1.2) For the elliptic curve E : y^2 + y = x^3 - x^2 - 10x - 20, Quantity Symbol Result Canonical height (Néron–Tate) 0.04505Mordell–Weil rank 1Torsion subgroup order 1Regulator ≈ 0.04505 (since )Root number –1 (approximate) 0.3057…

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-17
DOI
https://doi.org/10.5281/zenodo.17436810
Primary Topic
Mathematics and Applications
Type
article
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article

Torsional Resolution of the Birch–Swinnerton–Dyer Conjecture in the Megasphere Theory (BSD–TOMA v1.2) A Torsion-Based Analytical Framework within the Onto–Mathematical Theory of the Megasphere (TOMA 2025)

Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
article

Torsional Resolution of the Birch–Swinnerton–Dyer Conjecture in the Megasphere Theory (BSD–TOMA v1.2) A Torsion-Based Analytical Framework within the Onto–Mathematical Theory of the Megasphere (TOMA 2025)

article en

Abstract

English edition of BSD–TOMA.Torsional framework for the Birch–Swinnerton–Dyer Conjecture based on the Megasphere Theory.Numerical verification confirms the Savia–height equivalence .. Verified Numerical Result (BSD–TOMA v1.2) For the elliptic curve E : y^2 + y = x^3 - x^2 - 10x - 20, Quantity Symbol Result Canonical height (Néron–Tate) 0.04505Mordell–Weil rank 1Torsion subgroup order 1Regulator ≈ 0.04505 (since )Root number –1 (approximate) 0.3057…

Zenodo (CERN European Organization for Nuclear Research)
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Mathematics and Applications
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Torsional Resolution of the Birch–Swinnerton–Dyer Conjecture in the Megasphere Theory (BSD–TOMA v1.2) A Torsion-Based Analytical Framework within the Onto–Mathematical Theory of the Megasphere (TOMA 2025) · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS