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 (37 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
714.e1	714f4	714.e	714f	$[1, 1, 1, -5079, 137205]$	$1$	$[2]$
2142.g1	2142d3	2142.g	2142d	$[1, -1, 0, -45711, -3750251]$	$0$	$[2]$
4998.bp1	4998bl3	4998.bp	4998bl	$[1, 0, 0, -248872, -47807992]$	$0$	$[2]$
5712.q1	5712bb3	5712.q	5712bb	$[0, 1, 0, -81264, -8943660]$	$1$	$[2]$
12138.bb1	12138ba4	12138.bb	12138ba	$[1, 0, 0, -1467837, 684363897]$	$0$	$[2]$
14994.h1	14994bg4	14994.h	14994bg	$[1, -1, 0, -2239848, 1290815784]$	$0$	$[2]$
17136.bk1	17136bl4	17136.bk	17136bl	$[0, 0, 0, -731379, 240747442]$	$0$	$[2]$
17850.y1	17850s4	17850.y	17850s	$[1, 0, 1, -126976, 17404598]$	$1$	$[2]$
22848.be1	22848ci4	22848.be	22848ci	$[0, -1, 0, -325057, -71224223]$	$0$	$[2]$
22848.cp1	22848bc4	22848.cp	22848bc	$[0, 1, 0, -325057, 71224223]$	$1$	$[4]$
36414.l1	36414bh4	36414.l	36414bh	$[1, -1, 0, -13210533, -18477825219]$	$1$	$[2]$
39984.bl1	39984bs4	39984.bl	39984bs	$[0, -1, 0, -3981952, 3059711488]$	$1$	$[2]$
53550.ec1	53550dx4	53550.ec	53550dx	$[1, -1, 1, -1142780, -469924153]$	$1$	$[2]$
68544.y1	68544bf4	68544.y	68544bf	$[0, 0, 0, -2925516, -1925979536]$	$0$	$[2]$
68544.bm1	68544en4	68544.bm	68544en	$[0, 0, 0, -2925516, 1925979536]$	$0$	$[2]$
84966.ct1	84966cw4	84966.ct	84966cw	$[1, 1, 1, -71924014, -234808740685]$	$1$	$[2]$
86394.i1	86394l4	86394.i	86394l	$[1, 1, 0, -614561, -185692899]$	$1$	$[2]$
97104.bc1	97104bi4	97104.bc	97104bi	$[0, -1, 0, -23485392, -43799289408]$	$2$	$[2]$
119952.bt1	119952gp4	119952.bt	119952gp	$[0, 0, 0, -35837571, -82576372606]$	$1$	$[2]$
120666.p1	120666p4	120666.p	120666p	$[1, 1, 0, -858354, 305731548]$	$1$	$[2]$
124950.bb1	124950t4	124950.bb	124950t	$[1, 1, 0, -6221800, -5975999000]$	$1$	$[2]$
142800.bm1	142800ev4	142800.bm	142800ev	$[0, -1, 0, -2031608, -1113894288]$	$0$	$[2]$
159936.bh1	159936ip4	159936.bh	159936ip	$[0, -1, 0, -15927809, -24461764095]$	$2$	$[2]$
159936.go1	159936o3	159936.go	159936o	$[0, 1, 0, -15927809, 24461764095]$	$0$	$[2]$
254898.da1	254898da3	254898.da	254898da	$[1, -1, 0, -647316126, 6339188682364]$	$1$	$[2]$
257754.w1	257754w4	257754.w	257754w	$[1, 0, 1, -1833527, -955758526]$	$0$	$[2]$
259182.fu1	259182fu3	259182.fu	259182fu	$[1, -1, 1, -5531054, 5008177221]$	$0$	$[2]$
291312.be1	291312be3	291312.be	291312be	$[0, 0, 0, -211368531, 1182792182546]$	$1$	$[2]$
303450.k1	303450k3	303450.k	303450k	$[1, 1, 0, -36695925, 85545487125]$	$1$	$[2]$
361998.cr1	361998cr4	361998.cr	361998cr	$[1, -1, 1, -7725191, -8262476985]$	$0$	$[2]$
374850.la1	374850la3	374850.la	374850la	$[1, -1, 1, -55996205, 161295976797]$	$2$	$[2]$
377706.cl1	377706cl4	377706.cl	377706cl	$[1, 1, 1, -2686802, -1696243417]$	$2$	$[2]$
388416.bf1	388416bf3	388416.bf	388416bf	$[0, -1, 0, -93941569, 350488256833]$	$0$	$[2]$
388416.fe1	388416fe4	388416.fe	388416fe	$[0, 1, 0, -93941569, -350488256833]$	$1$	$[2]$
428400.ek1	428400ek3	428400.ek	428400ek	$[0, 0, 0, -18284475, 30093430250]$	$0$	$[2]$
479808.ny1	479808ny4	479808.ny	479808ny	$[0, 0, 0, -143350284, -660610980848]$	$1$	$[2]$
479808.nz1	479808nz3	479808.nz	479808nz	$[0, 0, 0, -143350284, 660610980848]$	$0$	$[2]$