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curve #912

y2 + xy + y = x3 − 289x + 1862
a-invariants
[1, 0, 1, -289, 1862]
rank (lower bound)
≥ 0
torsion subgroup
ℤ/6ℤ
conductor (N)
30
discriminant (Δ)
33750
Faltings height
0.0149
naive height
28.6079
primes of bad reduction
2, 3, 5
regulator
1
submitted by
David Renshaw
submitted at
last updated

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Commentary

Cremona 30a5 = LMFDB 30.a4: https://www.lmfdb.org/EllipticCurve/Q/30/a/4 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 30, minimal discriminant 33750, torsion ℤ/6ℤ.

last edited by David Renshaw at · history

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