Supersingular elliptic curves and moonshine

DOI10.3842/SIGMA.2019.007zbMath1434.14014arXiv1809.07421MaRDI QIDQ2633020

Victor Manuel Aricheta

Publication date: 8 May 2019

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07421

zbMATH Keywords

modular curvessupersingular elliptic curvesmoonshinesupersingular polynomials

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Relationship to Lie algebras and finite simple groups (11F22) Forms of half-integer weight; nonholomorphic modular forms (11F37) Elliptic curves (14H52) Structure of modular groups and generalizations; arithmetic groups (11F06) Holomorphic modular forms of integral weight (11F11)

Related Items (4)

A short introduction to the algebra, geometry, number theory and physics of moonshine ⋮ A supersingular coincidence ⋮ Modularity of a certain continued fraction of Ramanujan ⋮ The number of linear factors of supersingular polynomials and sporadic simple groups

Uses Software

• GAP
• PARI/GP
• SageMath

Cites Work

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