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curve #668

y2 + xy = x3 − 25x + 66
a-invariants
[1, 0, 0, -25, 66]
rank (lower bound)
≥ 4
torsion subgroup
trivial
conductor (N)
1000033
discriminant (Δ)
-1000033
Faltings height
-0.1459
naive height
21.9646
primes of bad reduction
1000033
regulator
5.148236317487311697604306605418076590198896108
submitted by
David Renshaw
submitted at
last updated

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Commentary

LMFDB 1000033.a1. Curve data, generators (3, 3), (2, 4), (-1, 10), (5, 6) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/1000033/a/1

last edited by David Renshaw at · history

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