Elliptic Curve Rank Leaderboard

curve #650

y2 + xy = x3 − x2 − 4x + 4
a-invariants
[1, -1, 0, -4, 4]
rank (lower bound)
≥ 2
torsion subgroup
trivial
conductor (N)
446
discriminant (Δ)
892
Faltings height
-0.7004
naive height
15.9099
primes of bad reduction
2, 223
regulator
0.0973430975694570509774957394327049892081729
submitted by
David Renshaw
submitted at
last updated

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Commentary

Cremona 446d1 = LMFDB 446.a1. Curve data, generators (2, 0) and (1, 0) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/446/a/1

last edited by David Renshaw at · history

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