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curve #3164

y2 = x3 − 433x − 3432
a-invariants
[0, 0, 0, -433, -3432]
rank (lower bound)
≥ 2
torsion subgroup
ℤ/2ℤ × ℤ/2ℤ
conductor (N)
41440
discriminant (Δ)
107329600
Faltings height
0.3523
naive height
29.8258
primes of bad reduction
2, 5, 7, 37
regulator
8.05665934881444914141732666545029128508279
submitted by
David Renshaw
submitted at
last updated

Witness: 2 independent points log in to add more points →

Commentary

Cremona 41440b1 = LMFDB 41440.e3: https://www.lmfdb.org/EllipticCurve/Q/41440/e/3 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 41440, minimal discriminant 107329600, torsion ℤ/2ℤ × ℤ/2ℤ. The witnesses are the generators from Cremona's tables.

last edited by David Renshaw at · history

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