Elliptic curve search results

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

Results (37 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
714.e2	714f3	714.e	714f	$[1, 1, 1, -679, -3883]$	$1$	$[2]$
2142.g2	2142d4	2142.g	2142d	$[1, -1, 0, -6111, 98725]$	$0$	$[2]$
4998.bp2	4998bl4	4998.bp	4998bl	$[1, 0, 0, -33272, 1231992]$	$0$	$[2]$
5712.q2	5712bb4	5712.q	5712bb	$[0, 1, 0, -10864, 226772]$	$1$	$[4]$
12138.bb2	12138ba3	12138.bb	12138ba	$[1, 0, 0, -196237, -17702647]$	$0$	$[2]$
14994.h2	14994bg3	14994.h	14994bg	$[1, -1, 0, -299448, -33263784]$	$0$	$[2]$
17136.bk2	17136bl3	17136.bk	17136bl	$[0, 0, 0, -97779, -6220622]$	$0$	$[2]$
17850.y2	17850s3	17850.y	17850s	$[1, 0, 1, -16976, -451402]$	$1$	$[2]$
22848.be2	22848ci3	22848.be	22848ci	$[0, -1, 0, -43457, 1857633]$	$0$	$[4]$
22848.cp2	22848bc3	22848.cp	22848bc	$[0, 1, 0, -43457, -1857633]$	$1$	$[2]$
36414.l2	36414bh3	36414.l	36414bh	$[1, -1, 0, -1766133, 477971469]$	$1$	$[2]$
39984.bl2	39984bs3	39984.bl	39984bs	$[0, -1, 0, -532352, -78847488]$	$1$	$[2]$
53550.ec2	53550dx3	53550.ec	53550dx	$[1, -1, 1, -152780, 12187847]$	$1$	$[2]$
68544.y2	68544bf3	68544.y	68544bf	$[0, 0, 0, -391116, 49764976]$	$0$	$[2]$
68544.bm2	68544en3	68544.bm	68544en	$[0, 0, 0, -391116, -49764976]$	$0$	$[2]$
84966.ct2	84966cw3	84966.ct	84966cw	$[1, 1, 1, -9615614, 6062392307]$	$1$	$[2]$
86394.i2	86394l3	86394.i	86394l	$[1, 1, 0, -82161, 4757229]$	$1$	$[2]$
97104.bc2	97104bi3	97104.bc	97104bi	$[0, -1, 0, -3139792, 1132969408]$	$2$	$[2]$
119952.bt2	119952gp3	119952.bt	119952gp	$[0, 0, 0, -4791171, 2133673346]$	$1$	$[2]$
120666.p2	120666p3	120666.p	120666p	$[1, 1, 0, -114754, -7956788]$	$1$	$[2]$
124950.bb2	124950t3	124950.bb	124950t	$[1, 1, 0, -831800, 153999000]$	$1$	$[2]$
142800.bm2	142800ev3	142800.bm	142800ev	$[0, -1, 0, -271608, 28889712]$	$0$	$[2]$
159936.bh2	159936ip3	159936.bh	159936ip	$[0, -1, 0, -2129409, 632909313]$	$2$	$[2]$
159936.go2	159936o4	159936.go	159936o	$[0, 1, 0, -2129409, -632909313]$	$0$	$[2]$
254898.da2	254898da4	254898.da	254898da	$[1, -1, 0, -86540526, -163771132820]$	$1$	$[2]$
257754.w2	257754w3	257754.w	257754w	$[1, 0, 1, -245127, 24671266]$	$0$	$[2]$
259182.fu2	259182fu4	259182.fu	259182fu	$[1, -1, 1, -739454, -129184635]$	$0$	$[2]$
291312.be2	291312be4	291312.be	291312be	$[0, 0, 0, -28258131, -30561915886]$	$1$	$[2]$
303450.k2	303450k4	303450.k	303450k	$[1, 1, 0, -4905925, -2212830875]$	$1$	$[2]$
361998.cr2	361998cr3	361998.cr	361998cr	$[1, -1, 1, -1032791, 213800487]$	$0$	$[2]$
374850.la2	374850la4	374850.la	374850la	$[1, -1, 1, -7486205, -4165459203]$	$2$	$[2]$
377706.cl2	377706cl3	377706.cl	377706cl	$[1, 1, 1, -359202, 43650279]$	$2$	$[2]$
388416.bf2	388416bf4	388416.bf	388416bf	$[0, -1, 0, -12559169, -9051196095]$	$0$	$[2]$
388416.fe2	388416fe3	388416.fe	388416fe	$[0, 1, 0, -12559169, 9051196095]$	$1$	$[2]$
428400.ek2	428400ek4	428400.ek	428400ek	$[0, 0, 0, -2444475, -777577750]$	$0$	$[2]$
479808.ny2	479808ny3	479808.ny	479808ny	$[0, 0, 0, -19164684, 17069386768]$	$1$	$[2]$
479808.nz2	479808nz4	479808.nz	479808nz	$[0, 0, 0, -19164684, -17069386768]$	$0$	$[2]$