Elliptic curves over $\Q$ of conductor 58870

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 (36 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
58870.a1	58870f2	58870.a	58870f	$[1, 0, 1, -782989, -323046264]$	$1$	trivial
58870.a2	58870f1	58870.a	58870f	$[1, 0, 1, 70626, 3376112]$	$1$	$[3]$
58870.b1	58870j1	58870.b	58870j	$[1, 0, 1, -30805848, -66960671962]$	$1$	trivial
58870.c1	58870i1	58870.c	58870i	$[1, 0, 1, -18, 338]$	$1$	trivial
58870.d1	58870a4	58870.d	58870a	$[1, -1, 0, -225125, -41055189]$	$1$	$[2]$
58870.d2	58870a3	58870.d	58870a	$[1, -1, 0, -73745, 7221575]$	$1$	$[2]$
58870.d3	58870a2	58870.d	58870a	$[1, -1, 0, -14875, -561039]$	$1$	$[2, 2]$
58870.d4	58870a1	58870.d	58870a	$[1, -1, 0, 1945, -53075]$	$1$	$[2]$
58870.e1	58870b1	58870.e	58870b	$[1, -1, 0, -3669020, -2709759280]$	$0$	trivial
58870.f1	58870e1	58870.f	58870e	$[1, -1, 0, -9522380, 14818127240]$	$1$	trivial
58870.g1	58870c1	58870.g	58870c	$[1, -1, 0, -76790, 8266300]$	$0$	trivial
58870.h1	58870g1	58870.h	58870g	$[1, -1, 0, -2352014, -1387826702]$	$1$	trivial
58870.i1	58870d1	58870.i	58870d	$[1, 1, 0, -133, 717]$	$0$	trivial
58870.i2	58870d2	58870.i	58870d	$[1, 1, 0, 1027, -7867]$	$0$	trivial
58870.j1	58870h1	58870.j	58870h	$[1, 1, 0, -197652, 753942224]$	$1$	trivial
58870.k1	58870l4	58870.k	58870l	$[1, 1, 0, -437420937, -3521435755039]$	$1$	$[2]$
58870.k2	58870l3	58870.k	58870l	$[1, 1, 0, -27197957, -55625886211]$	$1$	$[2]$
58870.k3	58870l2	58870.k	58870l	$[1, 1, 0, -6408437, -2904107539]$	$1$	$[2]$
58870.k4	58870l1	58870.k	58870l	$[1, 1, 0, 1396043, -339555411]$	$1$	$[2]$
58870.l1	58870k1	58870.l	58870k	$[1, -1, 0, 3623291, 13209843413]$	$1$	trivial
58870.m1	58870w1	58870.m	58870w	$[1, -1, 1, 4308, 540591]$	$1$	trivial
58870.n1	58870q1	58870.n	58870q	$[1, 0, 0, -112291, 18832641]$	$0$	$[3]$
58870.n2	58870q2	58870.n	58870q	$[1, 0, 0, 863269, -202229255]$	$0$	trivial
58870.o1	58870v1	58870.o	58870v	$[1, 0, 0, -235, 30897]$	$1$	trivial
58870.p1	58870p1	58870.p	58870p	$[1, -1, 1, -64580548, 201154727247]$	$0$	trivial
58870.q1	58870m1	58870.q	58870m	$[1, -1, 1, -11323, 610307]$	$1$	trivial
58870.r1	58870o1	58870.r	58870o	$[1, -1, 1, -4363, -110053]$	$0$	trivial
58870.s1	58870s1	58870.s	58870s	$[1, -1, 1, -2797, -56229]$	$1$	trivial
58870.t1	58870r4	58870.t	58870r	$[1, -1, 1, -642682, 198125421]$	$1$	$[2]$
58870.t2	58870r3	58870.t	58870r	$[1, -1, 1, -541762, -152564851]$	$1$	$[2]$
58870.t3	58870r2	58870.t	58870r	$[1, -1, 1, -53982, 793181]$	$1$	$[2, 2]$
58870.t4	58870r1	58870.t	58870r	$[1, -1, 1, 13298, 93469]$	$1$	$[4]$
58870.u1	58870n2	58870.u	58870n	$[1, 1, 1, -931, -13631]$	$1$	trivial
58870.u2	58870n1	58870.u	58870n	$[1, 1, 1, 84, 173]$	$1$	trivial
58870.v1	58870t1	58870.v	58870t	$[1, 1, 1, -14735, 8279035]$	$1$	trivial
58870.w1	58870u1	58870.w	58870u	$[1, 1, 1, -36630, -2760685]$	$1$	trivial