Spanning the isogeny class of a power of an elliptic curve

DOI10.1090/mcom/3672zbMath1486.14046OpenAlexW3164039710MaRDI QIDQ5018378

Damien Robert, Markus Kirschmer, Fabien Narbonne, Christophe Ritzenthaler

Publication date: 16 December 2021

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-02554714v2/file/Article_obstruction.pdf

zbMATH Keywords

algorithmpolarizationSiegel modular formisogeny classcurves with many points over finite fieldsHermitian latticetheta constantSchottky locusSerre's obstructionIgusa modular formorder in quadratic fieldtheta null point

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Finite ground fields in algebraic geometry (14G15) Theta functions and curves; Schottky problem (14H42) Lattices over orders (16H20)

Related Items (4)

FromLatticesToModularForms ⋮ Fast change of level and applications to isogenies ⋮ Lower bounds on the maximal number of rational points on curves over finite fields ⋮ Theta nullvalues of supersingular abelian varieties

Uses Software

• AVIsogenies
• curve_reconstruction

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