Optimal curves differing by a 3-isogeny

• Autorzy: Dongho Byeon , Donggeon Yhee
• Języki publikacji: EN

Abstrakty

EN

Stein and Watkins conjectured that for a certain family of elliptic curves E, the X₀(N)-optimal curve and the X₁(N)-optimal curve of the isogeny class 𝓒 containing E of conductor N differ by a 3-isogeny. In this paper, we show that this conjecture is true.

Kategorie tematyczne

• 14K02: Isogeny
• 11G05: Elliptic curves over global fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2013
• Tom: 158
• Numer: 3
• Strony: 219-227

Daty

wydano

2013

Twórcy

autor

Dongho Byeon

• Department of Mathematics, Seoul National University, Seoul, Korea

autor

Donggeon Yhee

• Department of Mathematics, Seoul National University, Seoul, Korea

Identyfikatory

DOI

10.4064/aa158-3-2