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curve #897

y2 + xy = x3 − 784x − 8515
a-invariants
[1, 0, 0, -784, -8515]
rank (lower bound)
≥ 0
torsion subgroup
ℤ/2ℤ
conductor (N)
21
discriminant (Δ)
147
Faltings height
0.0742
naive height
31.6069
primes of bad reduction
3, 7
regulator
1
submitted by
David Renshaw
submitted at
last updated

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Commentary

Cremona 21a5 = LMFDB 21.a1: https://www.lmfdb.org/EllipticCurve/Q/21/a/1 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 21, minimal discriminant 147, torsion ℤ/2ℤ.

last edited by David Renshaw at · history

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