Elliptic curves over $\Q$ of conductor 8470

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 (1-50 of 72 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
8470.a1	8470m1	8470.a	8470m	$[1, -1, 0, -1414, -527180]$	$1$	trivial
8470.b1	8470e1	8470.b	8470e	$[1, 0, 1, -179, -2994]$	$0$	trivial
8470.b2	8470e2	8470.b	8470e	$[1, 0, 1, 1581, 73742]$	$0$	trivial
8470.c1	8470f4	8470.c	8470f	$[1, 0, 1, -3160039, 2100623886]$	$0$	$[2]$
8470.c2	8470f2	8470.c	8470f	$[1, 0, 1, -432699, -108616378]$	$0$	$[2]$
8470.c3	8470f1	8470.c	8470f	$[1, 0, 1, -6779, -4180794]$	$0$	$[2]$
8470.c4	8470f3	8470.c	8470f	$[1, 0, 1, 60981, 112610342]$	$0$	$[2]$
8470.d1	8470g2	8470.d	8470g	$[1, 0, 1, -179, 306]$	$2$	$[2]$
8470.d2	8470g1	8470.d	8470g	$[1, 0, 1, 41, 42]$	$2$	$[2]$
8470.e1	8470l4	8470.e	8470l	$[1, 0, 1, -425923, 106370856]$	$1$	$[2]$
8470.e2	8470l2	8470.e	8470l	$[1, 0, 1, -32673, -2178244]$	$1$	$[2]$
8470.e3	8470l3	8470.e	8470l	$[1, 0, 1, -10893, 3609428]$	$1$	$[2]$
8470.e4	8470l1	8470.e	8470l	$[1, 0, 1, 1207, -131892]$	$1$	$[2]$
8470.f1	8470o2	8470.f	8470o	$[1, 0, 1, -3028, -64374]$	$0$	trivial
8470.f2	8470o1	8470.f	8470o	$[1, 0, 1, -3, -244]$	$0$	$[3]$
8470.g1	8470j1	8470.g	8470j	$[1, 1, 0, 1692, -842288]$	$1$	trivial
8470.h1	8470b2	8470.h	8470b	$[1, -1, 0, -820, 9246]$	$1$	$[2]$
8470.h2	8470b1	8470.h	8470b	$[1, -1, 0, -50, 160]$	$1$	$[2]$
8470.i1	8470a2	8470.i	8470a	$[1, -1, 0, -116352110, -483040019500]$	$1$	$[2]$
8470.i2	8470a1	8470.i	8470a	$[1, -1, 0, -7316590, -7448888364]$	$1$	$[2]$
8470.j1	8470h4	8470.j	8470h	$[1, -1, 0, -32390, 2251706]$	$1$	$[2]$
8470.j2	8470h3	8470.j	8470h	$[1, -1, 0, -10610, -390450]$	$1$	$[2]$
8470.j3	8470h2	8470.j	8470h	$[1, -1, 0, -2140, 31356]$	$1$	$[2, 2]$
8470.j4	8470h1	8470.j	8470h	$[1, -1, 0, 280, 2800]$	$1$	$[2]$
8470.k1	8470c1	8470.k	8470c	$[1, 0, 1, -51549, -4518384]$	$0$	trivial
8470.k2	8470c2	8470.k	8470c	$[1, 0, 1, 94861, -22731788]$	$0$	trivial
8470.l1	8470d2	8470.l	8470d	$[1, 0, 1, -648574, 200988016]$	$0$	trivial
8470.l2	8470d1	8470.l	8470d	$[1, 0, 1, -7934, 280432]$	$0$	trivial
8470.m1	8470i1	8470.m	8470i	$[1, 0, 1, -4964, 227962]$	$1$	$[3]$
8470.m2	8470i2	8470.m	8470i	$[1, 0, 1, 41621, -4132394]$	$1$	trivial
8470.n1	8470k1	8470.n	8470k	$[1, 0, 1, -4821853, -4076792744]$	$1$	trivial
8470.o1	8470n1	8470.o	8470n	$[1, 0, 1, -16943, 2456056]$	$0$	$[3]$
8470.o2	8470n2	8470.o	8470n	$[1, 0, 1, 149432, -59235794]$	$0$	trivial
8470.p1	8470p1	8470.p	8470p	$[1, -1, 0, -280924, 57381968]$	$0$	trivial
8470.q1	8470bh1	8470.q	8470bh	$[1, -1, 1, -12, 399]$	$1$	trivial
8470.r1	8470u4	8470.r	8470u	$[1, 0, 0, -1893471, -774028199]$	$1$	$[2]$
8470.r2	8470u2	8470.r	8470u	$[1, 0, 0, -1770656, -907026680]$	$1$	$[2]$
8470.r3	8470u1	8470.r	8470u	$[1, 0, 0, -110536, -14214144]$	$1$	$[2]$
8470.r4	8470u3	8470.r	8470u	$[1, 0, 0, 274849, -75395495]$	$1$	$[2]$
8470.s1	8470q2	8470.s	8470q	$[1, 0, 0, -21601, -429219]$	$0$	$[2]$
8470.s2	8470q1	8470.s	8470q	$[1, 0, 0, 5019, -51215]$	$0$	$[2]$
8470.t1	8470z1	8470.t	8470z	$[1, 0, 0, -21601, 3963081]$	$0$	$[3]$
8470.t2	8470z2	8470.t	8470z	$[1, 0, 0, 191359, -97959575]$	$0$	trivial
8470.u1	8470bc2	8470.u	8470bc	$[1, 0, 0, -366330, 85315132]$	$0$	trivial
8470.u2	8470bc1	8470.u	8470bc	$[1, 0, 0, -305, 324127]$	$0$	trivial
8470.v1	8470bg2	8470.v	8470bg	$[1, 0, 0, -102550, -12089868]$	$1$	$[2]$
8470.v2	8470bg1	8470.v	8470bg	$[1, 0, 0, 3930, -739100]$	$1$	$[2]$
8470.w1	8470s1	8470.w	8470s	$[1, 1, 1, 14, 639]$	$1$	trivial
8470.x1	8470v2	8470.x	8470v	$[1, -1, 1, -961588, 363177367]$	$1$	$[2]$
8470.x2	8470v1	8470.x	8470v	$[1, -1, 1, -60468, 5612951]$	$1$	$[2]$