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curve #42

y2 + y = x3 − x
a-invariants
[0, 0, 1, -1, 0]
c-invariants
[48, -216]
rank (lower bound)
≥ 1
torsion subgroup
trivial
conductor (N)
37 ★ record for rank ≥ 1
discriminant (Δ)
37 ★ record for rank ≥ 1
Faltings height
-0.9965
naive height
11.6136
primes of bad reduction
37
regulator
0.05111140823996884023588609975694202160954
submitted by
David Renshaw
submitted at
last updated

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Commentary

The standard conductor 37 rank-one curve y^2 + y = x^3 - x, with generator [0, 0].

last edited by David Renshaw at · history

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