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curve #4144
y2 + xy + y = x3 − 346761926669311169x + 109610132627790816150028592
- a-invariants
[1, 0, 1, -346761926669311169, 109610132627790816150028592]
- c-invariants
[16644572480126936089, -94703154615378123873815107837]
- rank (lower bound)
- ≥ 16
- torsion subgroup
- trivial
- conductor (N)
173910535920720921880282424746384481996583569670
- discriminant (Δ)
-2521669727848628430288937905161873175898882409336762700
- Faltings height
- 9.1424
- naive height
- 133.4411
- primes of bad reduction
2, 3, 5, 13, 17, 3725573, 7040755895390360790530851466163484733
- regulator
175325787950717524.1356127978744909900632399355843050624014994953893684
- submitted by
- Andrii Prokhorenkov
- submitted at
- last updated
(36802178160381/38416, -192943203334925560061/7529536)
(-566943444, 11134681148164)
(-29434516, -10944911062065)
(22144907457/64, -2853193034043661/512)
(-2741007061/4, 40365651661167/8)
(16204839564/49, -1912937101773188/343)
(-644496564, 8086651056079)
(273818841, -5932272500816)
(-44018769, 11170916007604)
(40181354911/81, -5631252944603444/729)
(390801609, 5811907514710)
(-594693330, 10271996393098)
(-52242480689139/99856, 383660159699993252719/31554496)
(162511310745/169, 56668939402790632/2197)
(471452684836/729, 245702672271082180/19683)
(1318811790150/5329, 2427836135761102927/389017)
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