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.g1	3360f2	3360.g	3360f	$[0, -1, 0, -84000, -9342648]$	$0$	$[2]$
3360.z1	3360z3	3360.z	3360z	$[0, 1, 0, -84000, 9342648]$	$1$	$[2]$
6720.q1	6720h4	6720.q	6720h	$[0, -1, 0, -336001, 75077185]$	$0$	$[2]$
6720.bh1	6720r3	6720.bh	6720r	$[0, 1, 0, -336001, -75077185]$	$0$	$[2]$
10080.c1	10080bn3	10080.c	10080bn	$[0, 0, 0, -756003, 253007498]$	$1$	$[2]$
10080.ba1	10080r2	10080.ba	10080r	$[0, 0, 0, -756003, -253007498]$	$1$	$[2]$
16800.a1	16800f3	16800.a	16800f	$[0, -1, 0, -2100008, 1172031012]$	$1$	$[4]$
16800.ca1	16800by2	16800.ca	16800by	$[0, 1, 0, -2100008, -1172031012]$	$0$	$[2]$
20160.dz1	20160ca4	20160.dz	20160ca	$[0, 0, 0, -3024012, 2024059984]$	$1$	$[2]$
20160.ej1	20160co3	20160.ej	20160co	$[0, 0, 0, -3024012, -2024059984]$	$0$	$[2]$
23520.e1	23520bh4	23520.e	23520bh	$[0, -1, 0, -4116016, -3212760284]$	$1$	$[2]$
23520.bh1	23520r4	23520.bh	23520r	$[0, 1, 0, -4116016, 3212760284]$	$1$	$[2]$
33600.cp1	33600bc4	33600.cp	33600bc	$[0, -1, 0, -8400033, -9367848063]$	$0$	$[2]$
33600.fa1	33600cl4	33600.fa	33600cl	$[0, 1, 0, -8400033, 9367848063]$	$0$	$[2]$
47040.cg1	47040bp4	47040.cg	47040bp	$[0, -1, 0, -16464065, 25718546337]$	$1$	$[4]$
47040.hc1	47040dl4	47040.hc	47040dl	$[0, 1, 0, -16464065, -25718546337]$	$0$	$[2]$
50400.bx1	50400de4	50400.bx	50400de	$[0, 0, 0, -18900075, -31625937250]$	$1$	$[2]$
50400.cn1	50400br4	50400.cn	50400br	$[0, 0, 0, -18900075, 31625937250]$	$1$	$[2]$
70560.cl1	70560ee4	70560.cl	70560ee	$[0, 0, 0, -37044147, -86781571814]$	$1$	$[2]$
70560.ec1	70560br4	70560.ec	70560br	$[0, 0, 0, -37044147, 86781571814]$	$0$	$[2]$
100800.y1	100800ee4	100800.y	100800ee	$[0, 0, 0, -75600300, -253007498000]$	$0$	$[2]$
100800.ox1	100800fk4	100800.ox	100800fk	$[0, 0, 0, -75600300, 253007498000]$	$1$	$[2]$
117600.dl1	117600fd4	117600.dl	117600fd	$[0, -1, 0, -102900408, 401800836312]$	$1$	$[2]$
117600.et1	117600dg4	117600.et	117600dg	$[0, 1, 0, -102900408, -401800836312]$	$1$	$[2]$
141120.w1	141120lf3	141120.w	141120lf	$[0, 0, 0, -148176588, 694252574512]$	$1$	$[2]$
141120.gs1	141120mt4	141120.gs	141120mt	$[0, 0, 0, -148176588, -694252574512]$	$1$	$[2]$
235200.mp1	235200mp4	235200.mp	235200mp	$[0, -1, 0, -411601633, -3213995088863]$	$0$	$[2]$
235200.qq1	235200qq3	235200.qq	235200qq	$[0, 1, 0, -411601633, 3213995088863]$	$1$	$[2]$
352800.bt1	352800bt4	352800.bt	352800bt	$[0, 0, 0, -926103675, -10847696476750]$	$1$	$[2]$
352800.mv1	352800mv2	352800.mv	352800mv	$[0, 0, 0, -926103675, 10847696476750]$	$0$	$[2]$
406560.cs1	406560cs2	406560.cs	406560cs	$[0, -1, 0, -10164040, 12475720600]$	$1$	$[2]$
406560.ez1	406560ez4	406560.ez	406560ez	$[0, 1, 0, -10164040, -12475720600]$	$0$	$[2]$
705600.hr1	-	705600.hr	-	$[0, 0, 0, -3704414700, 86781571814000]$	$1$	$[2]$
705600.bxc1	-	705600.bxc	-	$[0, 0, 0, -3704414700, -86781571814000]$	$1$	$[2]$