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curve #1011

y2 + xy = x3 − 15070x + 710612
a-invariants
[1, 0, 0, -15070, 710612]
rank (lower bound)
≥ 0
torsion subgroup
ℤ/8ℤ
conductor (N)
210
discriminant (Δ)
120530818800
Faltings height
1.1013
naive height
40.4750
primes of bad reduction
2, 3, 5, 7
regulator
1
submitted by
David Renshaw
submitted at
last updated

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Commentary

Cremona 210e4 = LMFDB 210.e4: https://www.lmfdb.org/EllipticCurve/Q/210/e/4 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 210, minimal discriminant 120530818800, torsion ℤ/8ℤ.

last edited by David Renshaw at · history

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