Legendre polynomials and complex multiplication. I.
From MaRDI portal
Publication:982524
DOI10.1016/J.JNT.2010.03.009zbMath1200.11093OpenAlexW2051575897MaRDI QIDQ982524
Publication date: 7 July 2010
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2010.03.009
Elliptic curves (14H52) Polynomials over finite fields (11T06) Elliptic curves over local fields (11G07)
Related Items (8)
Explicit congruences for class equations ⋮ On the Galois groups of Legendre polynomials ⋮ Explicit identities for invariants of elliptic curves ⋮ Counting points on hyperelliptic curves of type \(y^2=x^{2g+1}+ax^{g+1}+bx\) ⋮ On the Hasse invariants of the Tate normal forms \(E_5\) and \(E_7\) ⋮ The cubic Fermat equation and complex multiplication on the Deuring normal form ⋮ The Hasse invariant of the Tate normal form \(E_5\) and the class number of \(\mathbb{Q}(\sqrt{-5l})\) ⋮ The number of linear factors of supersingular polynomials and sporadic simple groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The cubic Fermat equation and complex multiplication on the Deuring normal form
- Systems of orthogonal polynomials arising from the modular \(j\)-function.
- Class numbers of quadratic fields, Hasse invariants of elliptic curves, and the supersingular polynomial
- Explicit identities for invariants of elliptic curves
- Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
- Zur Theorie der abstrakten elliptischen Funktionenkörper III. Die Struktur des Meromorphismenrings. Die Riemannsche Vermutung.
This page was built for publication: Legendre polynomials and complex multiplication. I.