Counting elliptic curves with an isogeny of degree three

DOI10.1090/bproc/45zbMath1483.11118arXiv1906.07877OpenAlexW3010606654MaRDI QIDQ5218736

Maggie Pizzo, John Voight, Carl B. Pomerance

Publication date: 5 March 2020

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.07877

zbMATH Keywords

heightelliptic curvesisogenycounting function

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Related Items (5)

Heights on stacks and a generalized Batyrev–Manin–Malle conjecture ⋮ On a probabilistic local-global principle for torsion on elliptic curves ⋮ Counting elliptic curves over the rationals with a 7-isogeny ⋮ Counting elliptic curves with prescribed level structures over number fields ⋮ Elliptic curves with Galois-stable cyclic subgroups of order 4

Uses Software

• Magma

Cites Work

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• Modular curves and the Eisenstein ideal
• The Magma algebra system. I: The user language
• Modular curves of prime-power level with infinitely many rational points
• Counting elliptic curves with prescribed torsion
• The Arithmetic of Elliptic Curves
• Courbes elliptiques sur Q sans nombres premiers exceptionnels

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