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curve #4167
y2 + xy = x3 + x2 − 49705570331x + 4019347485559785
- a-invariants
[1, 1, 0, -49705570331, 4019347485559785]- c-invariants
[2385867375913, -3472734121528973525]- rank (lower bound)
- ≥ 7
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
4238804696223426- discriminant (Δ)
880405797383562767831278647696324- Faltings height
- 5.0716
- naive height
- 85.5018
- primes of bad reduction
2, 3, 7, 31, 67, 109, 193, 311, 1061- regulator
13006.66179271078789484131339782505200852360704587381- submitted by
- NDElkies
- submitted at
- last updated
(38744, -46405957)(160138, -12973341)(-74740, -85501195)(-108515, 90250395)(65960, -32091475)(102073, -3092736)(1399394, -1636212577)
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