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.f4	1560k1	1560.f	1560k	$[0, -1, 0, -20, 132]$	$0$	$[4]$
3120.s4	3120k1	3120.s	3120k	$[0, 1, 0, -20, -132]$	$0$	$[2]$
4680.k4	4680g1	4680.k	4680g	$[0, 0, 0, -183, -3382]$	$1$	$[2]$
7800.o4	7800g1	7800.o	7800g	$[0, 1, 0, -508, 15488]$	$0$	$[2]$
9360.b4	9360o1	9360.b	9360o	$[0, 0, 0, -183, 3382]$	$1$	$[2]$
12480.b4	12480bq1	12480.b	12480bq	$[0, -1, 0, -81, -975]$	$0$	$[2]$
12480.cm4	12480x1	12480.cm	12480x	$[0, 1, 0, -81, 975]$	$0$	$[2]$
15600.bf4	15600f1	15600.bf	15600f	$[0, -1, 0, -508, -15488]$	$1$	$[2]$
20280.b4	20280d1	20280.b	20280d	$[0, -1, 0, -3436, 276340]$	$1$	$[2]$
23400.c4	23400bk1	23400.c	23400bk	$[0, 0, 0, -4575, -422750]$	$1$	$[2]$
37440.da4	37440fl1	37440.da	37440fl	$[0, 0, 0, -732, 27056]$	$2$	$[2]$
37440.fu4	37440ck1	37440.fu	37440ck	$[0, 0, 0, -732, -27056]$	$1$	$[2]$
40560.cg4	40560t1	40560.cg	40560t	$[0, 1, 0, -3436, -276340]$	$0$	$[2]$
46800.fm4	46800x1	46800.fm	46800x	$[0, 0, 0, -4575, 422750]$	$0$	$[2]$
60840.bb4	60840ca1	60840.bb	60840ca	$[0, 0, 0, -30927, -7430254]$	$0$	$[4]$
62400.f4	62400bi1	62400.f	62400bi	$[0, -1, 0, -2033, 125937]$	$2$	$[2]$
62400.id4	62400hm1	62400.id	62400hm	$[0, 1, 0, -2033, -125937]$	$0$	$[2]$
76440.ce4	76440cq1	76440.ce	76440cq	$[0, 1, 0, -996, -43296]$	$0$	$[2]$
101400.do4	101400di1	101400.do	101400di	$[0, 1, 0, -85908, 34370688]$	$1$	$[2]$
121680.fo4	121680bv1	121680.fo	121680bv	$[0, 0, 0, -30927, 7430254]$	$1$	$[2]$
152880.e4	152880hv1	152880.e	152880hv	$[0, -1, 0, -996, 43296]$	$2$	$[2]$
162240.ea4	162240de1	162240.ea	162240de	$[0, -1, 0, -13745, -2196975]$	$1$	$[2]$
162240.gl4	162240eo1	162240.gl	162240eo	$[0, 1, 0, -13745, 2196975]$	$1$	$[2]$
187200.bt4	187200kw1	187200.bt	187200kw	$[0, 0, 0, -18300, -3382000]$	$1$	$[2]$
187200.oz4	187200fz1	187200.oz	187200fz	$[0, 0, 0, -18300, 3382000]$	$0$	$[2]$
188760.bd4	188760cc1	188760.bd	188760cc	$[0, -1, 0, -2460, -165900]$	$1$	$[2]$
202800.n4	202800je1	202800.n	202800je	$[0, -1, 0, -85908, -34370688]$	$1$	$[2]$
229320.cv4	229320cu1	229320.cv	229320cu	$[0, 0, 0, -8967, 1160026]$	$0$	$[2]$
304200.fw4	304200fw1	304200.fw	304200fw	$[0, 0, 0, -773175, -928781750]$	$0$	$[2]$
377520.hs4	377520hs1	377520.hs	377520hs	$[0, 1, 0, -2460, 165900]$	$0$	$[2]$
382200.eo4	382200eo1	382200.eo	382200eo	$[0, -1, 0, -24908, -5362188]$	$1$	$[2]$
450840.bl4	450840bl1	450840.bl	450840bl	$[0, 1, 0, -5876, 613440]$	$0$	$[2]$
458640.nl4	458640nl1	458640.nl	458640nl	$[0, 0, 0, -8967, -1160026]$	$0$	$[2]$
486720.i4	486720i1	486720.i	486720i	$[0, 0, 0, -123708, -59442032]$	$0$	$[2]$
486720.hz4	486720hz1	486720.hz	486720hz	$[0, 0, 0, -123708, 59442032]$	$1$	$[2]$