Determinantal formula for the cuspidal class number of the modular curve \(X_1(m)\)

DOI10.1006/jnth.1997.2210zbMath0912.11025OpenAlexW2049599972MaRDI QIDQ1379647

Fumio Hazama

Publication date: 17 May 1999

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1997.2210

zbMATH Keywords

elliptic curvesmodular curvescuspidal class numbers

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Related Items (6)

The rational cuspidal subgroup of J0(p2M)$J_0(p^2M)$ with M squarefree ⋮ Modular units and cuspidal divisor classes on \(X_0(n^2M)\) with \(n|24\) and \(M\) squarefree ⋮ Sporadic cubic torsion ⋮ On a generalization of the Demjanenko determinant ⋮ Modular units and cuspidal divisor class groups of \(X_1(N)\) ⋮ Determinantal formula for the special values of the Dedekind zeta function of the cyclotomic field

Cites Work

• Demjanenko matrix, class number, and Hodge group
• A cuspidal class number formula for the modular curves \(X_1(N)\)
• Cuspidal class number formula for the modular curves \(X_ 1(p)\)
• Computing canonical heights with little (or no) factorization

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