curve #2047

y² + xy = x³ − 207815895719785904731773324x − 1125593515635199554016141564898600501616

a-invariants: [1, 0, 0, -207815895719785904731773324, -1125593515635199554016141564898600501616]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/2ℤ × ℤ/4ℤ
conductor (N): 100953927534377850702
discriminant (Δ): 27075375017562751196939809236391905992554395660341712280254415070898156310953984
Faltings height: 14.0217
naive height: 193.4097
primes of bad reduction: 2, 3, 7, 11, 19, 23, 59, 167, 1033, 2543, 19319
regulator: 53164501.7906120841181864087377558958093394424877
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:08:10 UTC
last updated: 2026-09-26 05:08:10 UTC

(6100791719548187676/156025, 13853880364237730379666600864/61629875)
(-25668439857492155556/3094081, -28533576088188321124351353252/5442488479)
(-6127020832358118798792296/781489592361, -3225399355116112606661049962637546052/690851647949378859)
(-278966267433389911363374385896/33939008690234041, -32632039274772571770535865444912284562591004/6252428435793094313628589)
(1891781596460030914455934665811836/112381324501683930625, -14407613058371315525974268301898603000273318167516/1191355075663566570864520890625)

2-isogenous partner of curve#1905 (Dujella - Peral (2012)).

last edited by Steps Unbounded at 2026-09-26 21:51:22 UTC · history