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curve #2144
y2 + xy = x3 − 143536591973710760x + 21086903195077588759809600
- a-invariants
[1, 0, 0, -143536591973710760, 21086903195077588759809600]
- rank (lower bound)
- ≥ 4
- torsion subgroup
- ℤ/7ℤ
- conductor (N)
9751000849590
- discriminant (Δ)
-2828099304758096598616609399745283889423810560000000 ☆ record for ℤ/7ℤ torsion, rank ≥ 4
- Faltings height
- 8.6974 ☆ record for ℤ/7ℤ torsion, rank ≥ 4
- naive height
- 130.1445 ☆ record for ℤ/7ℤ torsion, rank ≥ 4
- primes of bad reduction
2, 3, 5, 7, 11, 13, 17, 2423, 7883
- regulator
126.8129156997351427844330202019102332809100841
- submitted by
- Steps Unbounded
- submitted at
- last updated
(115191120, 2465957956440)
(255680392, 1049571182176)
(2480435056/25, 349598056010456/125)
(3678359080/9, 149578702746880/27)
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