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curve #6236
y2 = x3 − 6821689869484429900x
- a-invariants
[0, 0, 0, -6821689869484429900, 0]- c-invariants
[327441113735252635200, 0]- rank (lower bound)
- ≥ 11
- torsion subgroup
- ℤ/2ℤ
- family
- y2 = x3 + ax (quartic twists)
- conductor (N)
12881786207730518544879180215367200 ☆ record for quartic twists, rank ≥ 11- discriminant (Δ)
20316827269621059392447757400658923181669546500025536000000- Faltings height
- 9.8777
- naive height
- 141.7135
- primes of bad reduction
2, 5, 17, 79, 113, 157, 193, 541, 1613- regulator
4676271077.90223413367827542135708477933857376421627399331299- submitted by
- NDElkies
- submitted at
- last updated
(-1631639770, 82381491987300)(3878393294, 178553470469172)(-2243626544, -63334211897304)(13180269150, 1483158113757300)(-2086223850, 71774908940700)(40692283326, -8191655043601524)(-50481466, 18553712817948)(-2280564416, -60795944056848)(2634719364, 17785233946788)(2704970270, -36598247753100)(13940179630, -1616749863842100)
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