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 (40 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
570.i2	570i3	570.i	570i	$[1, 1, 1, -31160, 2011565]$	$0$	$[2]$
1710.e2	1710g4	1710.e	1710g	$[1, -1, 0, -280440, -54592700]$	$1$	$[2]$
2850.h2	2850l3	2850.h	2850l	$[1, 0, 1, -779001, 253003648]$	$1$	$[2]$
4560.x2	4560bc4	4560.x	4560bc	$[0, 1, 0, -498560, -129737292]$	$0$	$[4]$
8550.s2	8550bh4	8550.s	8550bh	$[1, -1, 1, -7011005, -6831098503]$	$0$	$[2]$
10830.p2	10830p4	10830.p	10830p	$[1, 0, 1, -11248768, -13887315694]$	$0$	$[4]$
13680.e2	13680bd3	13680.e	13680bd	$[0, 0, 0, -4487043, 3498419842]$	$1$	$[2]$
18240.a2	18240bz4	18240.a	18240bz	$[0, -1, 0, -1994241, -1035904095]$	$1$	$[2]$
18240.cg2	18240bd3	18240.cg	18240bd	$[0, 1, 0, -1994241, 1035904095]$	$0$	$[2]$
22800.br2	22800bv3	22800.br	22800bv	$[0, -1, 0, -12464008, -16192233488]$	$0$	$[2]$
27930.db2	27930cw3	27930.db	27930cw	$[1, 0, 0, -1526841, -694547379]$	$0$	$[2]$
32490.bk2	32490bo3	32490.bk	32490bo	$[1, -1, 1, -101238908, 374957523731]$	$0$	$[2]$
54150.bm2	54150ca3	54150.bm	54150ca	$[1, 1, 1, -281219188, -1735914461719]$	$1$	$[2]$
54720.ct2	54720fc3	54720.ct	54720fc	$[0, 0, 0, -17948172, 27987358736]$	$1$	$[2]$
54720.ex2	54720bx3	54720.ex	54720bx	$[0, 0, 0, -17948172, -27987358736]$	$1$	$[2]$
68400.gc2	68400eq3	68400.gc	68400eq	$[0, 0, 0, -112176075, 437302480250]$	$1$	$[2]$
68970.j2	68970o3	68970.j	68970o	$[1, 1, 0, -3770362, -2696245064]$	$1$	$[2]$
83790.by2	83790bs3	83790.by	83790bs	$[1, -1, 0, -13741569, 18752779233]$	$0$	$[2]$
86640.ba2	86640cs3	86640.ba	86640cs	$[0, -1, 0, -179980280, 888788204400]$	$0$	$[2]$
91200.j2	91200m3	91200.j	91200m	$[0, -1, 0, -49856033, 129587723937]$	$1$	$[2]$
91200.iz2	91200ik3	91200.iz	91200ik	$[0, 1, 0, -49856033, -129587723937]$	$0$	$[2]$
96330.a2	96330c3	96330.a	96330c	$[1, 1, 0, -5266043, 4445738913]$	$1$	$[2]$
139650.bd2	139650jb3	139650.bd	139650jb	$[1, 1, 0, -38171025, -86818422375]$	$0$	$[2]$
162450.a2	162450da4	162450.a	162450da	$[1, -1, 0, -2530972692, 46867159493716]$	$1$	$[2]$
164730.cy2	164730g4	164730.cy	164730g	$[1, 0, 0, -9005246, 9945856440]$	$2$	$[2]$
206910.cz2	206910bf4	206910.cz	206910bf	$[1, -1, 1, -33933263, 72764683467]$	$0$	$[2]$
223440.bg2	223440ex4	223440.bg	223440ex	$[0, -1, 0, -24429456, 44451032256]$	$0$	$[2]$
259920.f2	259920f3	259920.f	259920f	$[0, 0, 0, -1619822523, -23995661696278]$	$0$	$[2]$
273600.be2	273600be3	273600.be	273600be	$[0, 0, 0, -448704300, -3498419842000]$	$0$	$[2]$
273600.ow2	273600ow4	273600.ow	273600ow	$[0, 0, 0, -448704300, 3498419842000]$	$0$	$[2]$
288990.fh2	288990fh3	288990.fh	288990fh	$[1, -1, 1, -47394392, -120082345041]$	$0$	$[2]$
301530.bq2	301530bq3	301530.bq	301530bq	$[1, 1, 1, -16483651, -24639550027]$	$1$	$[2]$
344850.hs2	344850hs3	344850.hs	344850hs	$[1, 0, 0, -94259063, -336842114883]$	$0$	$[2]$
346560.ct2	346560ct3	346560.ct	346560ct	$[0, -1, 0, -719921121, -7109585714079]$	$0$	$[2]$
346560.fs2	346560fs4	346560.fs	346560fs	$[0, 1, 0, -719921121, 7109585714079]$	$2$	$[2]$
418950.mc2	418950mc4	418950.mc	418950mc	$[1, -1, 1, -343539230, 2343753864897]$	$0$	$[2]$
433200.kr2	433200kr4	433200.kr	433200kr	$[0, 1, 0, -4499507008, 111089526535988]$	$0$	$[2]$
479370.bm2	479370bm4	479370.bm	479370bm	$[1, 0, 1, -26205578, 49374530048]$	$1$	$[2]$
481650.is2	481650is4	481650.is	481650is	$[1, 0, 0, -131651088, 555980666292]$	$1$	$[2]$
494190.bo2	494190bo3	494190.bo	494190bo	$[1, -1, 0, -81047214, -268538123880]$	$0$	$[2]$