Elliptic curves over $\Q$ of conductor 57498

Conductor	j-invariant	Rank	Torsion order	Torsion structure
Analytic order of Ш	$p$ div |Ш|	Maximal primes	Nonmax $p$	Bad $p$
Number of integral points	Regulator	CM	CM discriminant	Semistable
Curves per isogeny class	Cyclic isogeny degree	Isogeny class size	Isogeny class degree	Potential good reduction

Results (43 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
57498.a1	57498g1	57498.a	57498g	$[1, 1, 0, 231, -711]$	$2$	trivial
57498.b1	57498c2	57498.b	57498c	$[1, 1, 0, -201271, -34809719]$	$1$	$[2]$
57498.b2	57498c1	57498.b	57498c	$[1, 1, 0, -9611, -809235]$	$1$	$[2]$
57498.c1	57498a1	57498.c	57498a	$[1, 1, 0, -554473, -204264539]$	$1$	trivial
57498.d1	57498d2	57498.d	57498d	$[1, 1, 0, -27062420, 35835135504]$	$0$	$[2]$
57498.d2	57498d1	57498.d	57498d	$[1, 1, 0, -10853460, -13346090928]$	$0$	$[2]$
57498.e1	57498e2	57498.e	57498e	$[1, 1, 0, -12975410, -1364509836]$	$0$	$[2]$
57498.e2	57498e1	57498.e	57498e	$[1, 1, 0, 3233550, -168288588]$	$0$	$[2]$
57498.f1	57498b4	57498.f	57498b	$[1, 1, 0, -1839964, 959876932]$	$1$	$[2]$
57498.f2	57498b6	57498.f	57498b	$[1, 1, 0, -1251294, -534099078]$	$1$	$[2]$
57498.f3	57498b3	57498.f	57498b	$[1, 1, 0, -142404, 7261020]$	$1$	$[2, 2]$
57498.f4	57498b2	57498.f	57498b	$[1, 1, 0, -115024, 14954800]$	$1$	$[2, 2]$
57498.f5	57498b1	57498.f	57498b	$[1, 1, 0, -5504, 344832]$	$1$	$[2]$
57498.f6	57498b5	57498.f	57498b	$[1, 1, 0, 528406, 56766798]$	$1$	$[2]$
57498.g1	57498f1	57498.g	57498f	$[1, 1, 0, -9611, 406437]$	$0$	trivial
57498.h1	57498l1	57498.h	57498l	$[1, 0, 1, 45, 2350]$	$1$	trivial
57498.i1	57498j2	57498.i	57498j	$[1, 0, 1, -3267832, -2273988346]$	$1$	$[2]$
57498.i2	57498j1	57498.i	57498j	$[1, 0, 1, -201272, -36626170]$	$1$	$[2]$
57498.j1	57498i2	57498.j	57498i	$[1, 0, 1, -1078801, -431366368]$	$1$	$[2]$
57498.j2	57498i1	57498.j	57498i	$[1, 0, 1, -65741, -7096840]$	$1$	$[2]$
57498.k1	57498m2	57498.k	57498m	$[1, 0, 1, -56593120, 126224480558]$	$0$	$[2]$
57498.k2	57498m1	57498.k	57498m	$[1, 0, 1, 8242720, 12320876846]$	$0$	$[2]$
57498.l1	57498h1	57498.l	57498h	$[1, 0, 1, 51993, 17876458]$	$0$	trivial
57498.m1	57498k3	57498.m	57498k	$[1, 0, 1, -217913342, -1766800687798]$	$1$	trivial
57498.m2	57498k1	57498.m	57498k	$[1, 0, 1, -6526052, 6475252322]$	$1$	trivial
57498.m3	57498k2	57498.m	57498k	$[1, 0, 1, 21565828, 33710773538]$	$1$	trivial
57498.n1	57498o1	57498.n	57498o	$[1, 1, 1, 71844, -36892995]$	$1$	trivial
57498.o1	57498n2	57498.o	57498n	$[1, 1, 1, -19768, 699449]$	$1$	$[2]$
57498.o2	57498n1	57498.o	57498n	$[1, 1, 1, -7928, -266695]$	$1$	$[2]$
57498.p1	57498p1	57498.p	57498p	$[1, 1, 1, 315526, -40750837]$	$1$	trivial
57498.q1	57498w2	57498.q	57498w	$[1, 0, 0, -41339, 2488593]$	$1$	$[2]$
57498.q2	57498w1	57498.q	57498w	$[1, 0, 0, 6021, 243729]$	$1$	$[2]$
57498.r1	57498q1	57498.r	57498q	$[1, 0, 0, 23929, 2169579]$	$1$	trivial
57498.s1	57498s1	57498.s	57498s	$[1, 0, 0, -865921, 310074107]$	$0$	trivial
57498.t1	57498r4	57498.t	57498r	$[1, 0, 0, -30256982, 64057418100]$	$1$	$[2]$
57498.t2	57498r2	57498.t	57498r	$[1, 0, 0, -1891302, 1000511460]$	$1$	$[2, 2]$
57498.t3	57498r3	57498.t	57498r	$[1, 0, 0, -1562742, 1359364692]$	$1$	$[2]$
57498.t4	57498r1	57498.t	57498r	$[1, 0, 0, -138982, 9749732]$	$1$	$[2]$
57498.u1	57498t2	57498.u	57498t	$[1, 0, 0, -7709552, 3811276548]$	$0$	$[2]$
57498.u2	57498t1	57498.u	57498t	$[1, 0, 0, 1681788, 447298560]$	$0$	$[2]$
57498.v1	57498u1	57498.v	57498u	$[1, 0, 0, 62261, 118860401]$	$0$	trivial
57498.w1	57498v2	57498.w	57498v	$[1, 0, 0, -15979681, -23977171447]$	$0$	$[2]$
57498.w2	57498v1	57498.w	57498v	$[1, 0, 0, 229279, -1236000567]$	$0$	$[2]$