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curve #660

y2 + y = x3 − x2 − 10x + 12
a-invariants
[0, -1, 1, -10, 12]
rank (lower bound)
≥ 3
torsion subgroup
trivial
conductor (N)
12279
discriminant (Δ)
36837
Faltings height
-0.4187
naive height
18.6197
primes of bad reduction
3, 4093
regulator
0.43042023784450097431906322568534552158097166
submitted by
David Renshaw
submitted at
last updated

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Commentary

Cremona 12279a1 = LMFDB 12279.a1. Curve data, generators (1, 1), (4, 4), (-2, 4) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/12279/a/1

last edited by David Renshaw at · history

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