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curve #1067

y2 + xy = x3 − 1469295x + 666308025
a-invariants
[1, 0, 0, -1469295, 666308025]
rank (lower bound)
≥ 0
torsion subgroup
ℤ/9ℤ
conductor (N)
17670
discriminant (Δ)
11141148807000000000
Faltings height
2.4293
naive height
54.2145
primes of bad reduction
2, 3, 5, 19, 31
regulator
1
submitted by
David Renshaw
submitted at
last updated

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Commentary

Cremona 17670bb1 = LMFDB 17670.z3: https://www.lmfdb.org/EllipticCurve/Q/17670/z/3 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 17670, minimal discriminant 11141148807000000000, torsion ℤ/9ℤ.

last edited by David Renshaw at · history

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