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 (34 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
3360.k1	3360g3	3360.k	3360g	$[0, -1, 0, -14120, 650532]$	$1$	$[4]$
3360.v1	3360v2	3360.v	3360v	$[0, 1, 0, -14120, -650532]$	$0$	$[2]$
6720.g1	6720a3	6720.g	6720a	$[0, -1, 0, -56481, -5147775]$	$1$	$[2]$
6720.br1	6720s4	6720.br	6720s	$[0, 1, 0, -56481, 5147775]$	$1$	$[2]$
10080.j1	10080i3	10080.j	10080i	$[0, 0, 0, -127083, 17437282]$	$0$	$[2]$
10080.x1	10080bp2	10080.x	10080bp	$[0, 0, 0, -127083, -17437282]$	$0$	$[2]$
16800.s1	16800g2	16800.s	16800g	$[0, -1, 0, -353008, -80610488]$	$0$	$[2]$
16800.bi1	16800br3	16800.bi	16800br	$[0, 1, 0, -353008, 80610488]$	$1$	$[2]$
20160.dj1	20160bw4	20160.dj	20160bw	$[0, 0, 0, -508332, 139498256]$	$1$	$[4]$
20160.es1	20160cf3	20160.es	20160cf	$[0, 0, 0, -508332, -139498256]$	$0$	$[2]$
23520.h1	23520bc4	23520.h	23520bc	$[0, -1, 0, -691896, 221748696]$	$1$	$[2]$
23520.be1	23520m4	23520.be	23520m	$[0, 1, 0, -691896, -221748696]$	$1$	$[2]$
33600.bf1	33600a4	33600.bf	33600a	$[0, -1, 0, -1412033, 646295937]$	$1$	$[2]$
33600.gj1	33600cq4	33600.gj	33600cq	$[0, 1, 0, -1412033, -646295937]$	$1$	$[2]$
47040.da1	47040bb4	47040.da	47040bb	$[0, -1, 0, -2767585, -1771221983]$	$1$	$[2]$
47040.go1	47040db4	47040.go	47040db	$[0, 1, 0, -2767585, 1771221983]$	$0$	$[2]$
50400.bc1	50400s4	50400.bc	50400s	$[0, 0, 0, -3177075, -2179660250]$	$0$	$[2]$
50400.da1	50400dn4	50400.da	50400dn	$[0, 0, 0, -3177075, 2179660250]$	$0$	$[2]$
70560.da1	70560bk4	70560.da	70560bk	$[0, 0, 0, -6227067, -5980987726]$	$0$	$[2]$
70560.db1	70560du4	70560.db	70560du	$[0, 0, 0, -6227067, 5980987726]$	$1$	$[2]$
100800.ed1	100800cw4	100800.ed	100800cw	$[0, 0, 0, -12708300, -17437282000]$	$0$	$[2]$
100800.mk1	100800el4	100800.mk	100800el	$[0, 0, 0, -12708300, 17437282000]$	$1$	$[2]$
117600.ce1	117600ek4	117600.ce	117600ek	$[0, -1, 0, -17297408, -27683992188]$	$1$	$[2]$
117600.gj1	117600cn4	117600.gj	117600cn	$[0, 1, 0, -17297408, 27683992188]$	$1$	$[2]$
141120.eh1	141120ma3	141120.eh	141120ma	$[0, 0, 0, -24908268, 47847901808]$	$1$	$[2]$
141120.ei1	141120mb4	141120.ei	141120mb	$[0, 0, 0, -24908268, -47847901808]$	$1$	$[2]$
235200.go1	235200go3	235200.go	235200go	$[0, -1, 0, -69189633, 221541127137]$	$0$	$[2]$
235200.vc1	235200vc4	235200.vc	235200vc	$[0, 1, 0, -69189633, -221541127137]$	$1$	$[2]$
352800.ii1	352800ii4	352800.ii	352800ii	$[0, 0, 0, -155676675, -747623465750]$	$0$	$[2]$
352800.ij1	352800ij2	352800.ij	352800ij	$[0, 0, 0, -155676675, 747623465750]$	$1$	$[2]$
406560.bx1	406560bx4	406560.bx	406560bx	$[0, -1, 0, -1708560, -859023900]$	$0$	$[2]$
406560.fl1	406560fl2	406560.fl	406560fl	$[0, 1, 0, -1708560, 859023900]$	$1$	$[2]$
705600.zu1	-	705600.zu	-	$[0, 0, 0, -622706700, 5980987726000]$	$1$	$[2]$
705600.zz1	-	705600.zz	-	$[0, 0, 0, -622706700, -5980987726000]$	$1$	$[2]$