Some elliptic curves arising from the Leech lattice

DOI10.1016/0021-8693(89)90166-XzbMath0715.11029MaRDI QIDQ752062

Koichiro Harada, Mong-Lung Lang

Publication date: 1989

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

automorphismsmodular functionLeech latticefunction field of the Riemann surface

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Elliptic curves over global fields (11G05) Relationship to Lie algebras and finite simple groups (11F22) Modular and automorphic functions (11F03) Elliptic curves (14H52) Automorphism groups of lattices (11H56)

Related Items

Elliptic fibrations on a generic Jacobian Kummer surface, Weierstrass equations for Jacobian fibrations on a certain \(K3\) surface, A family of cyclic quartic fields with explicit fundamental units, Involutions in Conway's Largest Simple Group, Addendum to a paper of Harada and Lang, The shadow theory of modular and unimodular lattices, Combinatorial numbers in binary recurrences

Cites Work

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• On a question raised by Conway-Norton
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• The theta functions of sublattices of the Leech lattice
• Modular forms and the automorphism group of Leech lattice
• Monstrous Moonshine
• Some Numerology between the Fischer-Griess Monster and the Elliptic Modular Function
• The diophantine equation X3 + Y3 = DZ3 and the conjectures of Birch and Swinnerton-Dyer.
• Notes on elliptic curves. I.