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curve #643

y2 + xy = x3 − x2 − x + 1
a-invariants
[1, -1, 0, -1, 1]
rank (lower bound)
≥ 1
torsion subgroup
trivial
conductor (N)
58
discriminant (Δ)
-116
Faltings height
-0.9022
naive height
12.8627
primes of bad reduction
2, 29
regulator
0.04242030783992984976677705194498259129391
submitted by
David Renshaw
submitted at
last updated

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Commentary

Cremona 58a1 = LMFDB 58.a1. Curve data, generator (0, 1) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/58/a/1

last edited by David Renshaw at · history

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