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curve #647

y2 + xy = x3 + 4x + 1
a-invariants
[1, 0, 0, 4, 1]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ
conductor (N)
65 ☆ record for ℤ/2ℤ torsion, rank ≥ 1
discriminant (Δ)
-4225
Faltings height
-0.6150
naive height
15.7568
primes of bad reduction
5, 13
regulator
0.1877570493306331609022364384122891588311
submitted by
David Renshaw
submitted at
last updated

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Commentary

Cremona 65a2 = LMFDB 65.a2. Curve data, generator (1, 2) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/65/a/2

last edited by David Renshaw at · history

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