Elliptic curves over $\Q$ of conductor 9744

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 57 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
9744.a1	9744n2	9744.a	9744n	$[0, -1, 0, -3920, 62016]$	$2$	$[2]$
9744.a2	9744n1	9744.a	9744n	$[0, -1, 0, 720, 6336]$	$2$	$[2]$
9744.b1	9744a4	9744.b	9744a	$[0, -1, 0, -8904, 325584]$	$1$	$[2]$
9744.b2	9744a3	9744.b	9744a	$[0, -1, 0, -8344, -289520]$	$1$	$[2]$
9744.b3	9744a2	9744.b	9744a	$[0, -1, 0, -784, 784]$	$1$	$[2, 2]$
9744.b4	9744a1	9744.b	9744a	$[0, -1, 0, 196, 0]$	$1$	$[2]$
9744.c1	9744c3	9744.c	9744c	$[0, -1, 0, -1384, 19600]$	$2$	$[2]$
9744.c2	9744c2	9744.c	9744c	$[0, -1, 0, -224, -816]$	$2$	$[2, 2]$
9744.c3	9744c1	9744.c	9744c	$[0, -1, 0, -204, -1056]$	$2$	$[2]$
9744.c4	9744c4	9744.c	9744c	$[0, -1, 0, 616, -6192]$	$2$	$[2]$
9744.d1	9744h4	9744.d	9744h	$[0, -1, 0, -92688, 6982848]$	$0$	$[2]$
9744.d2	9744h2	9744.d	9744h	$[0, -1, 0, -37968, -2834496]$	$0$	$[2]$
9744.d3	9744h1	9744.d	9744h	$[0, -1, 0, -2128, -53312]$	$0$	$[2]$
9744.d4	9744h3	9744.d	9744h	$[0, -1, 0, 17072, 748480]$	$0$	$[2]$
9744.e1	9744i2	9744.e	9744i	$[0, -1, 0, -7208, -50064]$	$0$	$[2]$
9744.e2	9744i1	9744.e	9744i	$[0, -1, 0, 1752, -7056]$	$0$	$[2]$
9744.f1	9744l4	9744.f	9744l	$[0, -1, 0, -18704242992, 984602802313152]$	$0$	$[4]$
9744.f2	9744l3	9744.f	9744l	$[0, -1, 0, -1270909232, 12544321460160]$	$0$	$[2]$
9744.f3	9744l2	9744.f	9744l	$[0, -1, 0, -1169051952, 15383694997440]$	$0$	$[2, 2]$
9744.f4	9744l1	9744.f	9744l	$[0, -1, 0, -66736432, 283736078272]$	$0$	$[2]$
9744.g1	9744k3	9744.g	9744k	$[0, -1, 0, -470832, -124181568]$	$0$	$[2]$
9744.g2	9744k2	9744.g	9744k	$[0, -1, 0, -31792, -1601600]$	$0$	$[2, 2]$
9744.g3	9744k1	9744.g	9744k	$[0, -1, 0, -11312, 446400]$	$0$	$[2]$
9744.g4	9744k4	9744.g	9744k	$[0, -1, 0, 79568, -10421312]$	$0$	$[4]$
9744.h1	9744j2	9744.h	9744j	$[0, -1, 0, -2612, 39852]$	$0$	$[2]$
9744.h2	9744j1	9744.h	9744j	$[0, -1, 0, -897, -9540]$	$0$	$[2]$
9744.i1	9744b1	9744.i	9744b	$[0, -1, 0, -20872, -1341872]$	$0$	trivial
9744.j1	9744m1	9744.j	9744m	$[0, -1, 0, -672, -6528]$	$0$	trivial
9744.k1	9744f2	9744.k	9744f	$[0, 1, 0, -120, 324]$	$1$	$[2]$
9744.k2	9744f1	9744.k	9744f	$[0, 1, 0, 20, 44]$	$1$	$[2]$
9744.l1	9744q3	9744.l	9744q	$[0, 1, 0, -3273984, -2281239180]$	$0$	$[2]$
9744.l2	9744q5	9744.l	9744q	$[0, 1, 0, -679504, 175033940]$	$0$	$[4]$
9744.l3	9744q4	9744.l	9744q	$[0, 1, 0, -208544, -34260684]$	$0$	$[2, 4]$
9744.l4	9744q2	9744.l	9744q	$[0, 1, 0, -204624, -35695404]$	$0$	$[2, 2]$
9744.l5	9744q1	9744.l	9744q	$[0, 1, 0, -12544, -583180]$	$0$	$[2]$
9744.l6	9744q6	9744.l	9744q	$[0, 1, 0, 199696, -151670508]$	$0$	$[4]$
9744.m1	9744r1	9744.m	9744r	$[0, 1, 0, 2691856, 3086110932]$	$0$	trivial
9744.n1	9744v1	9744.n	9744v	$[0, 1, 0, 17576, -10191340]$	$1$	trivial
9744.o1	9744g4	9744.o	9744g	$[0, 1, 0, -5584, 158756]$	$0$	$[4]$
9744.o2	9744g3	9744.o	9744g	$[0, 1, 0, -1624, -23548]$	$0$	$[2]$
9744.o3	9744g2	9744.o	9744g	$[0, 1, 0, -364, 2156]$	$0$	$[2, 2]$
9744.o4	9744g1	9744.o	9744g	$[0, 1, 0, 41, 212]$	$0$	$[2]$
9744.p1	9744w2	9744.p	9744w	$[0, 1, 0, -124, -88]$	$1$	$[2]$
9744.p2	9744w1	9744.p	9744w	$[0, 1, 0, -89, -354]$	$1$	$[2]$
9744.q1	9744p2	9744.q	9744p	$[0, 1, 0, -568, -5356]$	$0$	$[2]$
9744.q2	9744p1	9744.q	9744p	$[0, 1, 0, -8, -204]$	$0$	$[2]$
9744.r1	9744e2	9744.r	9744e	$[0, 1, 0, -17566568, 28332750372]$	$1$	$[2]$
9744.r2	9744e1	9744.r	9744e	$[0, 1, 0, -1095708, 444290220]$	$1$	$[2]$
9744.s1	9744d2	9744.s	9744d	$[0, 1, 0, -1048, -11596]$	$1$	$[2]$
9744.s2	9744d1	9744.s	9744d	$[0, 1, 0, 112, -924]$	$1$	$[2]$