Elliptic curve search results

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 (37 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
714.f4	714g2	714.f	714g	$[1, 1, 1, -90724, 2605541]$	$0$	$[2, 4]$
2142.h4	2142g2	2142.h	2142g	$[1, -1, 0, -816516, -71166128]$	$1$	$[2, 2]$
4998.bq4	4998bm2	4998.bq	4998bm	$[1, 0, 0, -4445477, -907037055]$	$0$	$[2, 2]$
5712.o4	5712t2	5712.o	5712t	$[0, 1, 0, -1451584, -169657804]$	$0$	$[2, 2]$
12138.ba4	12138w2	12138.ba	12138w	$[1, 0, 0, -26219242, 12984558500]$	$1$	$[2, 2]$
14994.g4	14994bi2	14994.g	14994bi	$[1, -1, 0, -40009293, 24490000485]$	$0$	$[2, 2]$
17136.bg4	17136y2	17136.bg	17136y	$[0, 0, 0, -13064259, 4567696450]$	$1$	$[2, 2]$
17850.t4	17850o2	17850.t	17850o	$[1, 0, 1, -2268101, 330228848]$	$0$	$[2, 2]$
22848.bc4	22848bx2	22848.bc	22848bx	$[0, -1, 0, -5806337, -1351456095]$	$1$	$[2, 2]$
22848.cr4	22848bn2	22848.cr	22848bn	$[0, 1, 0, -5806337, 1351456095]$	$0$	$[2, 2]$
36414.j4	36414t2	36414.j	36414t	$[1, -1, 0, -235973178, -350583079500]$	$0$	$[2, 2]$
39984.bj4	39984bv2	39984.bj	39984bv	$[0, -1, 0, -71127632, 58050371520]$	$1$	$[2, 2]$
53550.cs4	53550dt2	53550.cs	53550dt	$[1, -1, 1, -20412905, -8916178903]$	$0$	$[2, 2]$
68544.t4	68544dq2	68544.t	68544dq	$[0, 0, 0, -52257036, 36541571600]$	$1$	$[2, 2]$
68544.bq4	68544ca2	68544.bq	68544ca	$[0, 0, 0, -52257036, -36541571600]$	$1$	$[2, 2]$
84966.cr4	84966da2	84966.cr	84966da	$[1, 1, 1, -1284742859, -4454988308359]$	$1$	$[2, 2]$
86394.d4	86394b2	86394.d	86394b	$[1, 1, 0, -10977606, -3522863340]$	$0$	$[2, 2]$
97104.bf4	97104cb2	97104.bf	97104cb	$[0, -1, 0, -419507872, -831011744000]$	$1$	$[2, 2]$
119952.bx4	119952gs2	119952.bx	119952gs	$[0, 0, 0, -640148691, -1566719882350]$	$1$	$[2, 2]$
120666.o4	120666d2	120666.o	120666d	$[1, 1, 0, -15332359, 5801035765]$	$0$	$[2, 2]$
124950.cb4	124950ba2	124950.cb	124950ba	$[1, 1, 0, -111136925, -113379631875]$	$1$	$[2, 2]$
142800.ct4	142800dm2	142800.ct	142800dm	$[0, -1, 0, -36289608, -21134646288]$	$1$	$[2, 2]$
159936.bb4	159936in2	159936.bb	159936in	$[0, -1, 0, -284510529, -464118461631]$	$0$	$[2, 2]$
159936.gv4	159936s2	159936.gv	159936s	$[0, 1, 0, -284510529, 464118461631]$	$0$	$[2, 2]$
254898.de4	254898de2	254898.de	254898de	$[1, -1, 0, -11562685731, 120273121639957]$	$1$	$[2, 2]$
257754.bb4	257754bb2	257754.bb	257754bb	$[1, 0, 1, -32751372, -18133417910]$	$1$	$[2, 2]$
259182.fh4	259182fh2	259182.fh	259182fh	$[1, -1, 1, -98798459, 95018511723]$	$1$	$[2, 2]$
291312.bp4	291312bp2	291312.bp	291312bp	$[0, 0, 0, -3775570851, 22441092658850]$	$0$	$[2, 2]$
303450.bc4	303450bc2	303450.bc	303450bc	$[1, 1, 0, -655481050, 1623069812500]$	$0$	$[2, 2]$
361998.cn4	361998cn2	361998.cn	361998cn	$[1, -1, 1, -137991236, -156765956889]$	$1$	$[2, 2]$
374850.ir4	374850ir2	374850.ir	374850ir	$[1, -1, 1, -1000232330, 3060249828297]$	$0$	$[2, 2]$
377706.ch4	377706ch2	377706.ch	377706ch	$[1, 1, 1, -47993007, -32181549579]$	$1$	$[2, 2]$
388416.ba4	388416ba2	388416.ba	388416ba	$[0, -1, 0, -1678031489, 6649771983489]$	$1$	$[2, 2]$
388416.fi4	388416fi2	388416.fi	388416fi	$[0, 1, 0, -1678031489, -6649771983489]$	$0$	$[2, 2]$
428400.nu4	428400nu2	428400.nu	428400nu	$[0, 0, 0, -326606475, 570962056250]$	$1$	$[2, 2]$
479808.ni4	479808ni2	479808.ni	479808ni	$[0, 0, 0, -2560594764, -12533759058800]$	$1$	$[2, 2]$
479808.ox4	479808ox2	479808.ox	479808ox	$[0, 0, 0, -2560594764, 12533759058800]$	$0$	$[2, 2]$