On the \(p\)-th division polynomial

DOI10.1016/j.jnt.2021.06.011zbMath1486.11086OpenAlexW3186501512WikidataQ114156889 ScholiaQ114156889MaRDI QIDQ2064333

Josep González

Publication date: 5 January 2022

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.06.011

zbMATH Keywords

division polynomialssupersingular elliptic curves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Curves over finite and local fields (11G20) Cubic and quartic Diophantine equations (11D25)

Cites Work

• Beyond two criteria for supersingularity: coefficients of division polynomials
• The cubic Fermat equation and complex multiplication on the Deuring normal form
• On the Weierstrass points of \(X_0(N)\)
• Class numbers of quadratic fields, Hasse invariants of elliptic curves, and the supersingular polynomial
• On division polynomial PIT and supersingularity
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