Elliptic curves over $\Q$ of conductor 80223

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 (30 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
80223.a1	80223f1	80223.a	80223f	$[0, -1, 1, -2218, 273360]$	$2$	trivial
80223.b1	80223r1	80223.b	80223r	$[0, 1, 1, -1734, 90668]$	$1$	trivial
80223.c1	80223h2	80223.c	80223h	$[1, 1, 1, -39630, 999846]$	$1$	$[2]$
80223.c2	80223h1	80223.c	80223h	$[1, 1, 1, -31765, 2163866]$	$1$	$[2]$
80223.d1	80223d1	80223.d	80223d	$[1, 1, 1, -13373, 584090]$	$0$	$[2]$
80223.d2	80223d2	80223.d	80223d	$[1, 1, 1, -3088, 1472714]$	$0$	$[2]$
80223.e1	80223e1	80223.e	80223e	$[1, 1, 1, 1026, 29184]$	$0$	trivial
80223.f1	80223p1	80223.f	80223p	$[1, 0, 0, -910, -11527]$	$0$	trivial
80223.g1	80223q1	80223.g	80223q	$[1, 0, 0, 8671, -456114]$	$1$	trivial
80223.h1	80223b1	80223.h	80223b	$[0, -1, 1, 12423, -3342967]$	$1$	trivial
80223.i1	80223a1	80223.i	80223a	$[0, -1, 1, 103, 2474]$	$1$	trivial
80223.j1	80223c6	80223.j	80223c	$[1, 1, 0, -2441056, 1466719159]$	$0$	$[2]$
80223.j2	80223c4	80223.j	80223c	$[1, 1, 0, -168071, 17918520]$	$0$	$[2, 2]$
80223.j3	80223c2	80223.j	80223c	$[1, 1, 0, -65826, -6313545]$	$0$	$[2, 2]$
80223.j4	80223c1	80223.j	80223c	$[1, 1, 0, -65221, -6438296]$	$0$	$[2]$
80223.j5	80223c3	80223.j	80223c	$[1, 1, 0, 26739, -22549446]$	$0$	$[2]$
80223.j6	80223c5	80223.j	80223c	$[1, 1, 0, 468994, 122014941]$	$0$	$[2]$
80223.k1	80223g1	80223.k	80223g	$[1, 1, 0, -50691940015, -937825931943248]$	$1$	$[2]$
80223.k2	80223g2	80223.k	80223g	$[1, 1, 0, 197562957150, -7411866791191551]$	$1$	$[2]$
80223.l1	80223i1	80223.l	80223i	$[1, 1, 0, 9, -18]$	$0$	trivial
80223.m1	80223o2	80223.m	80223o	$[1, 0, 1, -11861, -383209]$	$0$	$[2]$
80223.m2	80223o1	80223.m	80223o	$[1, 0, 1, -3996, 91837]$	$0$	$[2]$
80223.n1	80223m1	80223.n	80223m	$[1, 0, 1, -110113, 15232325]$	$0$	trivial
80223.o1	80223n4	80223.o	80223n	$[1, 0, 1, -5087085, 4414289449]$	$0$	$[2]$
80223.o2	80223n3	80223.o	80223n	$[1, 0, 1, -2702175, -1677306479]$	$0$	$[2]$
80223.o3	80223n2	80223.o	80223n	$[1, 0, 1, -366270, 46591411]$	$0$	$[2, 2]$
80223.o4	80223n1	80223.o	80223n	$[1, 0, 1, 74775, 5309599]$	$0$	$[2]$
80223.p1	80223k1	80223.p	80223k	$[1, 0, 1, 1049188, 608136923]$	$1$	trivial
80223.q1	80223j1	80223.q	80223j	$[0, -1, 1, -18, -199]$	$0$	trivial
80223.r1	80223l1	80223.r	80223l	$[0, 1, 1, -209854, -121518809]$	$1$	trivial