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curve #632
y2 = x3 + x2 + 5365964600284239371851791x + 14610806763317668249280146321957009215
- a-invariants
[0, 1, 0, 5365964600284239371851791, 14610806763317668249280146321957009215]- c-invariants
[-257566300813643489848885952, -12623737043504919969573164561231762646016]- rank (lower bound)
- ≥ 10
- torsion subgroup
- ℤ/4ℤ
- conductor (N)
1286355112934990078205895192224 ☆ record for ℤ/4ℤ torsion, rank ≥ 10- discriminant (Δ)
-102109831128227776898996136985859820461780511299750847270563010469067781132288 ☆ record for ℤ/4ℤ torsion, rank ≥ 10- Faltings height
- 13.4586 ☆ record for ℤ/4ℤ torsion, rank ≥ 10
- naive height
- 184.6728 ☆ record for ℤ/4ℤ torsion, rank ≥ 10
- primes of bad reduction
2, 3, 13, 23, 29, 89, 127, 211, 257, 277, 397, 599, 947, 3109- regulator
718088290.2013258676017159777164409056842518362366981973749- submitted by
- Maksym Voznyy
- submitted at
- last updated
(-481561549686, 3451824108575669073)(14226198513, 3832381364126005692)(-876724802157, 3038493239492760972)(1572849910698, 5190536505800612673)(-1530696957942, 1676504493512744337)(167896430085453, 2175725964008832334632)(2291392442418, 6239971645725964203)(2249038281533, 6168880912264161312)(-577134290262, 3364771968584939583)(2580925660593, 6756623848368234972)
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