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 (43 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
322.b1	322b2	322.b	322b	$[1, 1, 0, -605, 5117]$	$0$	$[2]$
2254.a1	2254a2	2254.a	2254a	$[1, 0, 1, -29671, -1844118]$	$0$	$[2]$
2576.c1	2576n2	2576.c	2576n	$[0, 1, 0, -9688, -346860]$	$1$	$[2]$
2898.p1	2898t2	2898.p	2898t	$[1, -1, 1, -5450, -143607]$	$1$	$[2]$
7406.e1	7406c2	7406.e	7406c	$[1, 1, 0, -320320, -65460864]$	$0$	$[2]$
8050.n1	8050p2	8050.n	8050p	$[1, 0, 0, -15138, 669892]$	$1$	$[2]$
10304.i1	10304j2	10304.i	10304j	$[0, 1, 0, -38753, 2736127]$	$0$	$[2]$
10304.bb1	10304y2	10304.bb	10304y	$[0, -1, 0, -38753, -2736127]$	$1$	$[2]$
18032.v1	18032ba2	18032.v	18032ba	$[0, -1, 0, -474728, 118023536]$	$0$	$[2]$
20286.ca1	20286co2	20286.ca	20286co	$[1, -1, 1, -267035, 49791179]$	$1$	$[2]$
23184.ba1	23184bh2	23184.ba	23184bh	$[0, 0, 0, -87195, 9278026]$	$1$	$[2]$
38962.bf1	38962w2	38962.bf	38962w	$[1, 1, 1, -73268, -7176971]$	$1$	$[2]$
51842.d1	51842i2	51842.d	51842i	$[1, 0, 1, -15695706, 22405989260]$	$1$	$[2]$
54418.g1	54418f2	54418.g	54418f	$[1, 1, 1, -102333, 11753555]$	$0$	$[2]$
56350.bz1	56350bp2	56350.bz	56350bp	$[1, 1, 1, -741763, -230514719]$	$0$	$[2]$
59248.f1	59248bc2	59248.f	59248bc	$[0, 1, 0, -5125128, 4179245044]$	$0$	$[2]$
64400.ch1	64400bs2	64400.ch	64400bs	$[0, -1, 0, -242208, -42873088]$	$1$	$[2]$
66654.bq1	66654bj2	66654.bq	66654bj	$[1, -1, 1, -2882885, 1764560445]$	$0$	$[2]$
72128.n1	72128cd2	72128.n	72128cd	$[0, 1, 0, -1898913, 942289375]$	$0$	$[2]$
72128.bv1	72128f2	72128.bv	72128f	$[0, -1, 0, -1898913, -942289375]$	$0$	$[2]$
72450.g1	72450ba2	72450.g	72450ba	$[1, -1, 0, -136242, -18087084]$	$0$	$[2]$
92736.cj1	92736dt2	92736.cj	92736dt	$[0, 0, 0, -348780, 74224208]$	$1$	$[2]$
92736.dn1	92736cj2	92736.dn	92736cj	$[0, 0, 0, -348780, -74224208]$	$0$	$[2]$
93058.a1	93058b2	93058.a	93058b	$[1, 0, 1, -174996, 26364434]$	$2$	$[2]$
116242.o1	116242x2	116242.o	116242x	$[1, 0, 0, -218593, -36845751]$	$0$	$[2]$
162288.dr1	162288bp2	162288.dr	162288bp	$[0, 0, 0, -4272555, -3182362918]$	$0$	$[2]$
185150.bk1	185150f2	185150.bk	185150f	$[1, 0, 0, -8008013, -8166591983]$	$0$	$[2]$
236992.m1	236992m2	236992.m	236992m	$[0, 1, 0, -20500513, -33454460865]$	$2$	$[2]$
236992.cl1	236992cl2	236992.cl	236992cl	$[0, -1, 0, -20500513, 33454460865]$	$0$	$[2]$
257600.bh1	257600bh2	257600.bh	257600bh	$[0, 1, 0, -968833, -343953537]$	$1$	$[2]$
257600.fa1	257600fa2	257600.fa	257600fa	$[0, -1, 0, -968833, 343953537]$	$2$	$[2]$
270802.n1	270802n2	270802.n	270802n	$[1, 0, 0, -509243, 130907665]$	$1$	$[2]$
272734.ce1	272734ce2	272734.ce	272734ce	$[1, 0, 0, -3590133, 2450930593]$	$2$	$[2]$
309442.a1	309442a2	309442.a	309442a	$[1, 0, 1, -581906, -160003164]$	$2$	$[2]$
311696.i1	311696i2	311696.i	311696i	$[0, 1, 0, -1172288, 456981556]$	$1$	$[2]$
350658.ba1	350658ba2	350658.ba	350658ba	$[1, -1, 0, -659412, 193118800]$	$0$	$[2]$
380926.bi1	380926bi2	380926.bi	380926bi	$[1, 0, 0, -5014318, -4046512380]$	$1$	$[2]$
414736.bz1	414736bz2	414736.bz	414736bz	$[0, -1, 0, -251131288, -1433983312656]$	$0$	$[2]$
435344.j1	435344j2	435344.j	435344j	$[0, 1, 0, -1637328, -755502188]$	$0$	$[2]$
440818.bb1	440818bb2	440818.bb	440818bb	$[1, 1, 1, -828958, 271622107]$	$0$	$[2]$
450800.l1	450800l2	450800.l	450800l	$[0, 1, 0, -11868208, 14729205588]$	$1$	$[2]$
466578.et1	466578et2	466578.et	466578et	$[1, -1, 1, -141261350, -604961710027]$	$1$	$[2]$
489762.bl1	489762bl2	489762.bl	489762bl	$[1, -1, 0, -920997, -318266987]$	$1$	$[2]$