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 (35 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
1560.f1	1560k4	1560.f	1560k	$[0, -1, 0, -8320, 294892]$	$0$	$[2]$
3120.s1	3120k3	3120.s	3120k	$[0, 1, 0, -8320, -294892]$	$0$	$[2]$
4680.k1	4680g3	4680.k	4680g	$[0, 0, 0, -74883, -7887202]$	$1$	$[2]$
7800.o1	7800g4	7800.o	7800g	$[0, 1, 0, -208008, 36445488]$	$0$	$[2]$
9360.b1	9360o4	9360.b	9360o	$[0, 0, 0, -74883, 7887202]$	$1$	$[2]$
12480.b1	12480bq3	12480.b	12480bq	$[0, -1, 0, -33281, -2325855]$	$0$	$[2]$
12480.cm1	12480x4	12480.cm	12480x	$[0, 1, 0, -33281, 2325855]$	$0$	$[2]$
15600.bf1	15600f3	15600.bf	15600f	$[0, -1, 0, -208008, -36445488]$	$1$	$[2]$
20280.b1	20280d4	20280.b	20280d	$[0, -1, 0, -1406136, 642253260]$	$1$	$[2]$
23400.c1	23400bk4	23400.c	23400bk	$[0, 0, 0, -1872075, -985900250]$	$1$	$[2]$
37440.da1	37440fl4	37440.da	37440fl	$[0, 0, 0, -299532, 63097616]$	$2$	$[2]$
37440.fu1	37440ck4	37440.fu	37440ck	$[0, 0, 0, -299532, -63097616]$	$1$	$[2]$
40560.cg1	40560t4	40560.cg	40560t	$[0, 1, 0, -1406136, -642253260]$	$0$	$[2]$
46800.fm1	46800x4	46800.fm	46800x	$[0, 0, 0, -1872075, 985900250]$	$0$	$[2]$
60840.bb1	60840ca4	60840.bb	60840ca	$[0, 0, 0, -12655227, -17328182794]$	$0$	$[2]$
62400.f1	62400bi4	62400.f	62400bi	$[0, -1, 0, -832033, 292395937]$	$2$	$[4]$
62400.id1	62400hm4	62400.id	62400hm	$[0, 1, 0, -832033, -292395937]$	$0$	$[2]$
76440.ce1	76440cq4	76440.ce	76440cq	$[0, 1, 0, -407696, -100332576]$	$0$	$[2]$
101400.do1	101400di4	101400.do	101400di	$[0, 1, 0, -35153408, 80211350688]$	$1$	$[2]$
121680.fo1	121680bv4	121680.fo	121680bv	$[0, 0, 0, -12655227, 17328182794]$	$1$	$[4]$
152880.e1	152880hv3	152880.e	152880hv	$[0, -1, 0, -407696, 100332576]$	$2$	$[2]$
162240.ea1	162240de4	162240.ea	162240de	$[0, -1, 0, -5624545, -5132401535]$	$1$	$[2]$
162240.gl1	162240eo3	162240.gl	162240eo	$[0, 1, 0, -5624545, 5132401535]$	$1$	$[2]$
187200.bt1	187200kw4	187200.bt	187200kw	$[0, 0, 0, -7488300, -7887202000]$	$1$	$[2]$
187200.oz1	187200fz3	187200.oz	187200fz	$[0, 0, 0, -7488300, 7887202000]$	$0$	$[2]$
188760.bd1	188760cc4	188760.bd	188760cc	$[0, -1, 0, -1006760, -388474260]$	$1$	$[2]$
202800.n1	202800je4	202800.n	202800je	$[0, -1, 0, -35153408, -80211350688]$	$1$	$[2]$
229320.cv1	229320cu3	229320.cv	229320cu	$[0, 0, 0, -3669267, 2705310286]$	$0$	$[2]$
304200.fw1	304200fw4	304200.fw	304200fw	$[0, 0, 0, -316380675, -2166022849250]$	$0$	$[2]$
377520.hs1	377520hs3	377520.hs	377520hs	$[0, 1, 0, -1006760, 388474260]$	$0$	$[2]$
382200.eo1	382200eo4	382200.eo	382200eo	$[0, -1, 0, -10192408, -12521187188]$	$1$	$[2]$
450840.bl1	450840bl3	450840.bl	450840bl	$[0, 1, 0, -2404576, 1434377120]$	$0$	$[2]$
458640.nl1	458640nl4	458640.nl	458640nl	$[0, 0, 0, -3669267, -2705310286]$	$0$	$[2]$
486720.i1	486720i4	486720.i	486720i	$[0, 0, 0, -50620908, -138625462352]$	$0$	$[2]$
486720.hz1	486720hz3	486720.hz	486720hz	$[0, 0, 0, -50620908, 138625462352]$	$1$	$[2]$