The Hasse invariant of the Tate normal form \(E_7\) and the supersingular polynomial for the Fricke group \(\Gamma_0^*(7)\)
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Publication:6185048
DOI10.1007/s11139-023-00764-8arXiv2206.09801OpenAlexW4385457653MaRDI QIDQ6185048
Publication date: 29 January 2024
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.09801
Elliptic curves (14H52) Curves over finite and local fields (11G20) Complex multiplication and moduli of abelian varieties (11G15) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)
Cites Work
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- The Atkin orthogonal polynomials for congruence subgroups of low levels
- Primes of the form \(x^2+ny^2\) with conditions \(x\equiv 1 \bmod N\), \(y\equiv 0\bmod N\)
- Polynomials with PSL(2,7) as Galois group
- A new class of theta-function identities originating in Ramanujan's notebooks
- Class numbers of quadratic fields, Hasse invariants of elliptic curves, and the supersingular polynomial
- On the Hasse invariants of the Tate normal forms \(E_5\) and \(E_7\)
- 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
- Solutions of Diophantine equations as periodic points of \(p\)-adic algebraic functions. II: The Rogers-Ramanujan continued fraction
- Explicit identities for invariants of elliptic curves
- The Atkin orthogonal polynomials for the Fricke groups of levels 5 and 7
- Ramanujan's Theta Functions
- THE ATKIN ORTHOGONAL POLYNOMIALS FOR THE LOW-LEVEL FRICKE GROUPS AND THEIR APPLICATION
- The Galois Theory of Periodic Points of Polynomial Maps
- Continued fractions and modular functions
- Supersingular conjectures for the Fricke group
- Teilbarkeitseigenschaften der singulären Moduln der elliptischen Funktionen und die Diskriminante der Klassengleichung
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