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 (32 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
609.a2	609b5	609.a	609b	$[1, 1, 1, -42469, -2756140]$	$1$	$[2]$
1827.d2	1827b5	1827.d	1827b	$[1, -1, 0, -382221, 74033554]$	$1$	$[2]$
4263.c2	4263g5	4263.c	4263g	$[1, 0, 0, -2080982, 939113013]$	$0$	$[4]$
9744.l2	9744q5	9744.l	9744q	$[0, 1, 0, -679504, 175033940]$	$0$	$[4]$
12789.k2	12789f5	12789.k	12789f	$[1, -1, 0, -18728838, -25356051351]$	$1$	$[2]$
15225.w2	15225o5	15225.w	15225o	$[1, 0, 1, -1061726, -342394027]$	$1$	$[2]$
17661.h2	17661f5	17661.h	17661f	$[1, 0, 1, -35716447, -66790896769]$	$1$	$[2]$
29232.bk2	29232ba6	29232.bk	29232ba	$[0, 0, 0, -6115539, -4732031918]$	$1$	$[2]$
38976.t2	38976bb6	38976.t	38976bb	$[0, -1, 0, -2718017, 1402989537]$	$0$	$[2]$
38976.bw2	38976x6	38976.bw	38976x	$[0, 1, 0, -2718017, -1402989537]$	$1$	$[2]$
45675.e2	45675k6	45675.e	45675k	$[1, -1, 1, -9555530, 9244638722]$	$0$	$[2]$
52983.f2	52983h6	52983.f	52983h	$[1, -1, 1, -321448019, 1803354212756]$	$1$	$[2]$
68208.be2	68208bw6	68208.be	68208bw	$[0, -1, 0, -33295712, -60103232832]$	$0$	$[2]$
73689.s2	73689c6	73689.s	73689c	$[1, 1, 0, -5138751, 3642728346]$	$0$	$[2]$
102921.l2	102921e6	102921.l	102921e	$[1, 1, 0, -7177264, -6019352867]$	$0$	$[2]$
106575.cg2	106575r6	106575.cg	106575r	$[1, 1, 0, -52024550, 117389126625]$	$1$	$[2]$
116928.r2	116928dw6	116928.r	116928dw	$[0, 0, 0, -24462156, -37856255344]$	$0$	$[2]$
116928.br2	116928ck6	116928.br	116928ck	$[0, 0, 0, -24462156, 37856255344]$	$0$	$[2]$
123627.q2	123627e6	123627.q	123627e	$[1, 1, 0, -1750105879, 22907527485802]$	$0$	$[2]$
176001.d2	176001d6	176001.d	176001d	$[1, 0, 0, -12273547, -13455000118]$	$0$	$[2]$
204624.bu2	204624y5	204624.bu	204624y	$[0, 0, 0, -299661411, 1623086947874]$	$0$	$[2]$
219849.u2	219849p5	219849.u	219849p	$[1, 0, 1, -15331317, 18781712509]$	$0$	$[2]$
221067.k2	221067l6	221067.k	221067l	$[1, -1, 1, -46248764, -98399914104]$	$0$	$[2]$
243600.cv2	243600cv5	243600.cv	243600cv	$[0, -1, 0, -16987608, 21913217712]$	$0$	$[2]$
272832.o2	272832o5	272832.o	272832o	$[0, -1, 0, -133182849, 480959045505]$	$0$	$[2]$
272832.fb2	272832fb6	272832.fb	272832fb	$[0, 1, 0, -133182849, -480959045505]$	$0$	$[2]$
282576.i2	282576i5	282576.i	282576i	$[0, -1, 0, -571463144, 4274617393200]$	$0$	$[2]$
308763.e2	308763e5	308763.e	308763e	$[1, -1, 1, -64595381, 162457932030]$	$0$	$[2]$
319725.t2	319725t6	319725.t	319725t	$[1, -1, 1, -468220955, -3169974639828]$	$1$	$[2]$
322161.e2	322161e5	322161.e	322161e	$[1, 1, 1, -22466112, 33309292098]$	$1$	$[2]$
370881.i2	370881i6	370881.i	370881i	$[1, -1, 1, -15750952916, -618518993069568]$	$1$	$[2]$
441525.k2	441525k6	441525.k	441525k	$[1, 1, 1, -892911163, -8348862096094]$	$1$	$[2]$