SU\G(𝔸)/K·U

On the Hasse invariants of the Tate normal forms E5 and E7

Patrick Morton

Type: Article

Publication Date: 2020-08-14

Citations: 4

DOI: https://doi.org/10.1016/j.jnt.2020.07.008

Locations

  • Journal of Number Theory - View
  • arXiv (Cornell University) - View - PDF
  • DataCite API - View

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Works That Cite This (4)

Action Title Year Authors
+ PDF Chat The Hasse invariant of the Tate normal form E5 and the class number of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">Q</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msqrt><mml:mrow><mml:mo linebreak="badbreak" linebreakstyle="after">−</mml:mo><mml:mn>5</mml:mn><mml:mi>l</mml:mi></mml:mrow></mml:msqrt><mml:mo stretchy="false">)</mml:mo></mml:math> 2021 Patrick Morton
+ PDF Chat Supersingular conjectures for the Fricke group 2022 Patrick Morton
+ The Hasse invariant of the Tate normal form $E_5$ and the class number of $\mathbb{Q}(\sqrt{-5l})$ 2020 Patrick Morton
+ PDF Chat The Hasse invariant of the Tate normal form $$E_7$$ and the supersingular polynomial for the Fricke group $$\Gamma _0^*(7)$$ 2023 Patrick Morton

Works Cited by This (27)

Action Title Year Authors
+ Number theory in the spirit of Ramanujan 2007 Bruce C. Berndt
+ Zur Theorie der abstrakten elliptischen Funktionenkörper II. Automorphismen und Meromorphismen. Das Additionstheorem. 1936 Helmut Hasse
+ Explicit identities for invariants of elliptic curves 2006 Patrick Morton
+ Lehrbuch der Algebra 1921 Heinrich Weber
+ Class numbers of quadratic fields, Hasse invariants of elliptic curves, and the supersingular polynomial 2004 John Brillhart
Patrick Morton
+ The Atkin orthogonal polynomials for the Fricke groups of levels 5 and 7 2014 Yuichi Sakai
+ Legendre polynomials and complex multiplication, I 2010 Patrick Morton
+ Ramanujan's Lost Notebook 2012 George E. Andrews
Bruce C. Berndt
+ The existence of infinitely many supersingular primes for every elliptic curve over ? 1987 Noam D. Elkies
+ THE ATKIN ORTHOGONAL POLYNOMIALS FOR THE LOW-LEVEL FRICKE GROUPS AND THEIR APPLICATION 2011 Yuichi Sakai