curve #1849

y² + xy + y = x³ + x² − 288410599772287582301682562229505x + 1736772485717718200127595209611486256474933238527

a-invariants

[1, 1, 1, -288410599772287582301682562229505, 1736772485717718200127595209611486256474933238527]

rank (lower bound)

≥ 22

torsion subgroup

trivial

conductor (N)

113718498999212689331542997850330441943358286709870918976190374117191846710

discriminant (Δ)

232296453898435628554756822176140299754432594359726643304812453489978450136640400213882204160000000

Faltings height

17.6152

naive height

235.8394

primes of bad reduction

2, 3, 5, 7, 13, 17, 19, 37, 109, 389, 1049, 2939, 15441753985025885931099359, 132822934289777829183668449321

regulator

798123680257626342339.6779440554279721313972253217449885472315082852400577195358249

submitted by

Ritik Jain

submitted at

2026-09-25 17:10:13 UTC

later contributions

(18740852733772735587/1156, 45190162853325567249646377369/39304)
(-7855657139471119513/3481, 316586424480122480562384178944/205379)
(126452756219247823/49, 344653937116196233557928448/343)
(-124348563657831257/9, -47416223919178460834796128/27)
(4345270151408372253/289, -4392696096501235117897661382/4913)
(285066932794093767, 151937352495726837748625576)
(5881381246154387535/484, -1731617761857361809373111951/10648)
(249302260638962829111/15625, 2136760063222262402890562673984/1953125)
(763937846925949383/169, 1592520785651446083066890352/2197)
(1027043640232770463/169, -1003171105433816757208674808/2197)
(37295067360530743/9, -21135798152748521085344128/27)
(-19309540873028973, -325768066508600219596264)
(276084651692374527, 144796540733752810094996736)
(1502432989484976416575/25281, -56058594104630503561138739492096/4019679)
(54214635799878742407/3481, 207699599328822879985916396224/205379)
(48124928691824495476362048423/2868067570369, 6185457839683146611563686387050374369129928/4857178548920005153)
(-89708412805198067240210322768607448833/5606679086532655643521, 630451986128213270655570489266272028187603151531283414016/419815576426430023596093066383681)
(3591582395671027, 864437122027205867325236)
(7401183972519927, 87241679600431020778136)
(792487730133600967/121, 477635470092854700404794816/1331)
(732262566554050673245743/109977169, 385336859527512494608305479826674688/1153330571303)
(-1506808186000983, 1472389478517930228354576)

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