Computing the Mazur and Swinnerton-Dyer critical subgroup of elliptic curves

DOI10.1090/mcom3057zbMath1410.11048arXiv1412.2827OpenAlexW1972276377MaRDI QIDQ2814449

Hao Chen

Publication date: 22 June 2016

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.2827

zbMATH Keywords

conductorcritical subgrouprank two elliptic curves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Uses Software

• SageMath
• GitHub

Cites Work

• Unnamed Item
• Heegner points and derivatives of \(L\)-series
• Weierstrass points on \(X_0(p)\) and supersingular \(j\)-invariants
• Arithmetic of Weil curves
• Critical and ramification points of the modular parametrization of an elliptic curve
• Defining equations of modular curves
• Nonvanishing theorems for L-functions of modular forms and their derivatives
• Certified dense linear system solving
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• Elementary Number Theory: Primes, Congruences, and Secrets
• On the coefficients of transformation polynomials for the modular function

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