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curve #1064

y2 + xy = x3 − 486675x + 130612257
a-invariants
[1, 0, 0, -486675, 130612257]
rank (lower bound)
≥ 0
torsion subgroup
ℤ/10ℤ
conductor (N)
10230
discriminant (Δ)
2986780262400000
Faltings height
1.9599
naive height
50.8997
primes of bad reduction
2, 3, 5, 11, 31
regulator
1
submitted by
David Renshaw
submitted at
last updated

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Commentary

Cremona 10230bg1 = LMFDB 10230.bf3: https://www.lmfdb.org/EllipticCurve/Q/10230/bf/3 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 10230, minimal discriminant 2986780262400000, torsion ℤ/10ℤ.

last edited by David Renshaw at · history

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