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curve #657

y2 + y = x3 + x2 − 12x + 12
a-invariants
[0, 1, 1, -12, 12]
rank (lower bound)
≥ 2
torsion subgroup
trivial
conductor (N)
707
discriminant (Δ)
4949
Faltings height
-0.5061
naive height
19.1505
primes of bad reduction
7, 101
regulator
0.112857456320488478087278063827153889463874
submitted by
David Renshaw
submitted at
last updated

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Commentary

Cremona 707a1 = LMFDB 707.a1. Curve data, generators (3, 3) and (1, 1) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/707/a/1

last edited by David Renshaw at · history

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