Elliptic curve search results

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

Results (29 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
1122.f1	1122f1	1122.f	1122f	$[1, 1, 1, -9, -9]$	$1$	$[2]$
3366.j1	3366f1	3366.j	3366f	$[1, -1, 0, -81, 157]$	$1$	$[2]$
8976.u1	8976z1	8976.u	8976z	$[0, 1, 0, -144, 276]$	$1$	$[2]$
12342.b1	12342f1	12342.b	12342f	$[1, 1, 0, -1091, 6285]$	$1$	$[2]$
19074.bi1	19074ba1	19074.bi	19074ba	$[1, 0, 0, -2607, -25095]$	$1$	$[2]$
26928.bo1	26928bu1	26928.bo	26928bu	$[0, 0, 0, -1299, -8750]$	$1$	$[2]$
28050.bk1	28050bj1	28050.bk	28050bj	$[1, 0, 1, -226, -652]$	$0$	$[2]$
35904.bj1	35904by1	35904.bj	35904by	$[0, -1, 0, -577, 2785]$	$1$	$[2]$
35904.cx1	35904z1	35904.cx	35904z	$[0, 1, 0, -577, -2785]$	$0$	$[2]$
37026.bo1	37026bc1	37026.bo	37026bc	$[1, -1, 1, -9824, -179517]$	$0$	$[2]$
54978.cd1	54978cb1	54978.cd	54978cb	$[1, 0, 0, -442, 1700]$	$0$	$[2]$
57222.g1	57222v1	57222.g	57222v	$[1, -1, 0, -23463, 677565]$	$1$	$[2]$
84150.fm1	84150es1	84150.fm	84150es	$[1, -1, 1, -2030, 17597]$	$1$	$[2]$
98736.cq1	98736dm1	98736.cq	98736dm	$[0, 1, 0, -17464, -437164]$	$1$	$[2]$
107712.bb1	107712dx1	107712.bb	107712dx	$[0, 0, 0, -5196, -70000]$	$2$	$[2]$
107712.bg1	107712cl1	107712.bg	107712cl	$[0, 0, 0, -5196, 70000]$	$0$	$[2]$
152592.bg1	152592cg1	152592.bg	152592cg	$[0, -1, 0, -41712, 1606080]$	$1$	$[2]$
164934.l1	164934cy1	164934.l	164934cy	$[1, -1, 0, -3978, -45900]$	$1$	$[2]$
189618.j1	189618bt1	189618.j	189618bt	$[1, 1, 0, -1524, -11760]$	$1$	$[2]$
209814.bv1	209814cf1	209814.bv	209814cf	$[1, 0, 1, -315450, 33085996]$	$1$	$[2]$
224400.cn1	224400fk1	224400.cn	224400fk	$[0, -1, 0, -3608, 41712]$	$1$	$[2]$
296208.ew1	296208ew1	296208.ew	296208ew	$[0, 0, 0, -157179, 11646250]$	$0$	$[2]$
308550.ix1	308550ix1	308550.ix	308550ix	$[1, 0, 0, -27288, 840192]$	$0$	$[2]$
394944.dp1	394944dp1	394944.dp	394944dp	$[0, -1, 0, -69857, -3427455]$	$0$	$[2]$
394944.ij1	394944ij1	394944.ij	394944ij	$[0, 1, 0, -69857, 3427455]$	$0$	$[2]$
405042.bh1	405042bh1	405042.bh	405042bh	$[1, 0, 1, -3257, 34460]$	$2$	$[2]$
439824.cq1	439824cq1	439824.cq	439824cq	$[0, -1, 0, -7072, -108800]$	$0$	$[2]$
457776.bh1	457776bh1	457776.bh	457776bh	$[0, 0, 0, -375411, -42988750]$	$1$	$[2]$
476850.bo1	476850bo1	476850.bo	476850bo	$[1, 1, 0, -65175, -3136875]$	$1$	$[2]$