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Conductor Discriminant j-invariant Rank
Bad$\ p$ Curves per isogeny class Complex multiplication Torsion
Isogeny class degree Cyclic isogeny degree Isogeny class size Integral points
Analytic order of Ш $p\ $div$\ $|Ш| Regulator Reduction Faltings height
Galois image Adelic level Adelic index Adelic genus
Nonmax$\ \ell$ $abc$ quality Szpiro ratio
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