Elliptic curve search results

Conductor	j-invariant	Rank	Torsion order	Torsion structure
Analytic order of Ш	$p$ div |Ш|	Maximal primes	Nonmax $p$	Bad $p$
Number of integral points	Regulator	CM	CM discriminant	Semistable
Curves per isogeny class	Cyclic isogeny degree	Isogeny class size	Isogeny class degree	Potential good reduction

Results (37 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
714.f1	714g5	714.f	714g	$[1, 1, 1, -13718604, -19563199515]$	$0$	$[2]$
2142.h1	2142g5	2142.h	2142g	$[1, -1, 0, -123467436, 528082919464]$	$1$	$[2]$
4998.bq1	4998bm5	4998.bq	4998bm	$[1, 0, 0, -672211597, 6708160798793]$	$0$	$[2]$
5712.o1	5712t5	5712.o	5712t	$[0, 1, 0, -219497664, 1251605773620]$	$0$	$[8]$
12138.ba1	12138w5	12138.ba	12138w	$[1, 0, 0, -3964676562, -96086246480388]$	$1$	$[2]$
14994.g1	14994bi5	14994.g	14994bi	$[1, -1, 0, -6049904373, -181120341567411]$	$0$	$[2]$
17136.bg1	17136y5	17136.bg	17136y	$[0, 0, 0, -1975478979, -33795331366718]$	$1$	$[2]$
17850.t1	17850o5	17850.t	17850o	$[1, 0, 1, -342965101, -2444714009152]$	$0$	$[2]$
22848.bc1	22848bx6	22848.bc	22848bx	$[0, -1, 0, -877990657, 10013724179617]$	$1$	$[4]$
22848.cr1	22848bn6	22848.cr	22848bn	$[0, 1, 0, -877990657, -10013724179617]$	$0$	$[2]$
36414.j1	36414t6	36414.j	36414t	$[1, -1, 0, -35682089058, 2594328654970476]$	$0$	$[2]$
39984.bj1	39984bv6	39984.bj	39984bv	$[0, -1, 0, -10755385552, -429322291122752]$	$1$	$[2]$
53550.cs1	53550dt6	53550.cs	53550dt	$[1, -1, 1, -3086685905, 66007278247097]$	$0$	$[2]$
68544.t1	68544dq6	68544.t	68544dq	$[0, 0, 0, -7901915916, -270362650933744]$	$1$	$[2]$
68544.bq1	68544ca6	68544.bq	68544ca	$[0, 0, 0, -7901915916, 270362650933744]$	$1$	$[2]$
84966.cr1	84966da6	84966.cr	84966da	$[1, 1, 1, -194269151539, 32957388273621545]$	$1$	$[2]$
86394.d1	86394b6	86394.d	86394b	$[1, 1, 0, -1659951086, 26030318798796]$	$0$	$[2]$
97104.bf1	97104cb6	97104.bf	97104cb	$[0, -1, 0, -63434824992, 6149519774744832]$	$1$	$[2]$
119952.bx1	119952gs6	119952.bx	119952gs	$[0, 0, 0, -96798469971, 11591798658784274]$	$1$	$[2]$
120666.o1	120666d6	120666.o	120666d	$[1, 1, 0, -2318444079, -42968757113667]$	$0$	$[2]$
124950.cb1	124950ba6	124950.cb	124950ba	$[1, 1, 0, -16805289925, 838520099849125]$	$1$	$[2]$
142800.ct1	142800dm5	142800.ct	142800dm	$[0, -1, 0, -5487441608, 156461696585712]$	$1$	$[2]$
159936.bb1	159936in5	159936.bb	159936in	$[0, -1, 0, -43021542209, 3434621350524225]$	$0$	$[2]$
159936.gv1	159936s6	159936.gv	159936s	$[0, 1, 0, -43021542209, -3434621350524225]$	$0$	$[2]$
254898.de1	254898de6	254898.de	254898de	$[1, -1, 0, -1748422363851, -889851231810145571]$	$1$	$[2]$
257754.bb1	257754bb5	257754.bb	257754bb	$[1, 0, 1, -4952416052, 134144366143754]$	$1$	$[2]$
259182.fh1	259182fh6	259182.fh	259182fh	$[1, -1, 1, -14939559779, -702833547127269]$	$1$	$[2]$
291312.bp1	291312bp6	291312.bp	291312bp	$[0, 0, 0, -570913424931, -166036463004685534]$	$0$	$[2]$
303450.bc1	303450bc6	303450.bc	303450bc	$[1, 1, 0, -99116914050, -12010780810048500]$	$0$	$[2]$
361998.cn1	361998cn5	361998.cn	361998cn	$[1, -1, 1, -20865996716, 1160135576072295]$	$1$	$[2]$
374850.ir1	374850ir6	374850.ir	374850ir	$[1, -1, 1, -151247609330, -22640193943535703]$	$0$	$[2]$
377706.ch1	377706ch5	377706.ch	377706ch	$[1, 1, 1, -7257141527, 237952877081573]$	$1$	$[2]$
388416.ba1	388416ba6	388416.ba	388416ba	$[0, -1, 0, -253739299969, -49195904458658687]$	$1$	$[2]$
388416.fi1	388416fi5	388416.fi	388416fi	$[0, 1, 0, -253739299969, 49195904458658687]$	$0$	$[2]$
428400.nu1	428400nu6	428400.nu	428400nu	$[0, 0, 0, -49386974475, -4224416420839750]$	$1$	$[2]$
479808.ni1	479808ni5	479808.ni	479808ni	$[0, 0, 0, -387193879884, 92734389270274192]$	$1$	$[2]$
479808.ox1	479808ox6	479808.ox	479808ox	$[0, 0, 0, -387193879884, -92734389270274192]$	$0$	$[2]$