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 (1-50 of 156 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
11.a3	11a3	11.a	11a	$[0, -1, 1, 0, 0]$	$0$	$[5]$
99.d3	99d1	99.d	99d	$[0, 0, 1, -3, -5]$	$0$	trivial
121.d3	121d1	121.d	121d	$[0, -1, 1, -40, -221]$	$0$	trivial
176.b3	176b1	176.b	176b	$[0, 1, 0, -5, -13]$	$0$	trivial
275.b3	275b1	275.b	275b	$[0, 1, 1, -8, 19]$	$0$	trivial
539.a3	539d1	539.a	539d	$[0, 1, 1, -16, -66]$	$1$	trivial
704.c3	704k1	704.c	704k	$[0, -1, 0, -1, -1]$	$1$	trivial
704.h3	704a1	704.h	704a	$[0, 1, 0, -1, 1]$	$1$	trivial
1089.b3	1089j1	1089.b	1089j	$[0, 0, 1, -363, 6322]$	$1$	trivial
1584.g3	1584p1	1584.g	1584p	$[0, 0, 0, -48, 304]$	$0$	trivial
1859.b3	1859a1	1859.b	1859a	$[0, -1, 1, -56, 405]$	$1$	trivial
1936.i3	1936g1	1936.i	1936g	$[0, 1, 0, -645, 14771]$	$1$	trivial
2475.a3	2475h1	2475.a	2475h	$[0, 0, 1, -75, -594]$	$0$	trivial
3025.a3	3025g1	3025.a	3025g	$[0, 1, 1, -1008, -29606]$	$0$	trivial
3179.a3	3179c1	3179.a	3179c	$[0, 1, 1, -96, 832]$	$1$	trivial
3971.b3	3971b1	3971.b	3971b	$[0, 1, 1, -120, -1247]$	$1$	trivial
4400.i3	4400m1	4400.i	4400m	$[0, -1, 0, -133, -1363]$	$0$	trivial
4851.t3	4851l1	4851.t	4851l	$[0, 0, 1, -147, 1629]$	$1$	trivial
5819.a3	5819a1	5819.a	5819a	$[0, -1, 1, -176, -2082]$	$0$	trivial
5929.h3	5929h1	5929.h	5929h	$[0, 1, 1, -1976, 79657]$	$1$	trivial
6336.br3	6336y1	6336.br	6336y	$[0, 0, 0, -12, -38]$	$1$	trivial
6336.bu3	6336bx1	6336.bu	6336bx	$[0, 0, 0, -12, 38]$	$1$	trivial
7744.k3	7744y1	7744.k	7744y	$[0, -1, 0, -161, 1927]$	$1$	trivial
7744.x3	7744f1	7744.x	7744f	$[0, 1, 0, -161, -1927]$	$0$	trivial
8624.j3	8624r1	8624.j	8624r	$[0, -1, 0, -261, 3949]$	$1$	trivial
9251.d3	9251a1	9251.d	9251a	$[0, 1, 1, -280, 4197]$	$1$	trivial
10571.a3	10571a1	10571.a	10571a	$[0, 1, 1, -320, -5348]$	$0$	trivial
13475.v3	13475j1	13475.v	13475j	$[0, -1, 1, -408, -7407]$	$1$	trivial
15059.e3	15059e1	15059.e	15059e	$[0, -1, 1, -456, 9063]$	$0$	trivial
16731.a3	16731m1	16731.a	16731m	$[0, 0, 1, -507, -10436]$	$1$	trivial
17424.r3	17424bv1	17424.r	17424bv	$[0, 0, 0, -5808, -404624]$	$0$	trivial
17600.bj3	17600e1	17600.bj	17600e	$[0, -1, 0, -33, 187]$	$1$	trivial
17600.cd3	17600cd1	17600.cd	17600cd	$[0, 1, 0, -33, -187]$	$1$	trivial
18491.a3	18491a1	18491.a	18491a	$[0, 1, 1, -560, 11938]$	$1$	trivial
20339.f3	20339f1	20339.f	20339f	$[0, 1, 1, -616, -14193]$	$1$	trivial
20449.a3	20449g1	20449.a	20449g	$[0, -1, 1, -6816, -512172]$	$2$	trivial
24299.a3	24299c1	24299.a	24299c	$[0, -1, 1, -736, -18020]$	$2$	trivial
27225.bx3	27225bq1	27225.bx	27225bq	$[0, 0, 1, -9075, 790281]$	$1$	trivial
28611.z3	28611w1	28611.z	28611w	$[0, 0, 1, -867, -23337]$	$1$	trivial
29744.y3	29744z1	29744.y	29744z	$[0, 1, 0, -901, -25037]$	$1$	trivial
30899.f3	30899c1	30899.f	30899c	$[0, 1, 1, -936, 25879]$	$0$	trivial
34496.bi3	34496p1	34496.bi	34496p	$[0, -1, 0, -65, -461]$	$0$	trivial
34496.cr3	34496de1	34496.cr	34496de	$[0, 1, 0, -65, 461]$	$0$	trivial
34969.m3	34969h1	34969.m	34969h	$[0, 1, 1, -11656, -1154301]$	$0$	trivial
35739.a3	35739r1	35739.a	35739r	$[0, 0, 1, -1083, 32580]$	$1$	trivial
38291.d3	38291c1	38291.d	38291c	$[0, -1, 1, -1160, -35745]$	$0$	trivial
39600.bl3	39600dy1	39600.bl	39600dy	$[0, 0, 0, -1200, 38000]$	$0$	trivial
40931.a3	40931a1	40931.a	40931a	$[0, -1, 1, -1240, 40345]$	$1$	trivial
43681.a3	43681m1	43681.a	43681m	$[0, 1, 1, -14560, 1601232]$	$1$	trivial
46475.b3	46475a1	46475.b	46475a	$[0, 1, 1, -1408, 47844]$	$1$	trivial