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 (1-50 of 302 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
11.a1	11a2	11.a	11a	$[0, -1, 1, -7820, -263580]$	$0$	trivial
11.a2	11a1	11.a	11a	$[0, -1, 1, -10, -20]$	$0$	$[5]$
11.a3	11a3	11.a	11a	$[0, -1, 1, 0, 0]$	$0$	$[5]$
14.a1	14a5	14.a	14a	$[1, 0, 1, -2731, -55146]$	$0$	$[2]$
14.a2	14a3	14.a	14a	$[1, 0, 1, -171, -874]$	$0$	$[2]$
14.a3	14a2	14.a	14a	$[1, 0, 1, -36, -70]$	$0$	$[6]$
14.a4	14a6	14.a	14a	$[1, 0, 1, -11, 12]$	$0$	$[6]$
14.a5	14a4	14.a	14a	$[1, 0, 1, -1, 0]$	$0$	$[6]$
14.a6	14a1	14.a	14a	$[1, 0, 1, 4, -6]$	$0$	$[6]$
15.a1	15a5	15.a	15a	$[1, 1, 1, -2160, -39540]$	$0$	$[2]$
15.a2	15a2	15.a	15a	$[1, 1, 1, -135, -660]$	$0$	$[2, 2]$
15.a3	15a6	15.a	15a	$[1, 1, 1, -110, -880]$	$0$	$[2]$
15.a4	15a7	15.a	15a	$[1, 1, 1, -80, 242]$	$0$	$[4]$
15.a5	15a1	15.a	15a	$[1, 1, 1, -10, -10]$	$0$	$[2, 4]$
15.a6	15a3	15.a	15a	$[1, 1, 1, -5, 2]$	$0$	$[2, 4]$
15.a7	15a8	15.a	15a	$[1, 1, 1, 0, 0]$	$0$	$[4]$
15.a8	15a4	15.a	15a	$[1, 1, 1, 35, -28]$	$0$	$[8]$
17.a1	17a3	17.a	17a	$[1, -1, 1, -91, -310]$	$0$	$[2]$
17.a2	17a2	17.a	17a	$[1, -1, 1, -6, -4]$	$0$	$[2, 2]$
17.a3	17a1	17.a	17a	$[1, -1, 1, -1, -14]$	$0$	$[4]$
17.a4	17a4	17.a	17a	$[1, -1, 1, -1, 0]$	$0$	$[4]$
19.a1	19a2	19.a	19a	$[0, 1, 1, -769, -8470]$	$0$	trivial
19.a2	19a1	19.a	19a	$[0, 1, 1, -9, -15]$	$0$	$[3]$
19.a3	19a3	19.a	19a	$[0, 1, 1, 1, 0]$	$0$	$[3]$
20.a1	20a4	20.a	20a	$[0, 1, 0, -41, -116]$	$0$	$[2]$
20.a2	20a3	20.a	20a	$[0, 1, 0, -36, -140]$	$0$	$[2]$
20.a3	20a2	20.a	20a	$[0, 1, 0, -1, 0]$	$0$	$[6]$
20.a4	20a1	20.a	20a	$[0, 1, 0, 4, 4]$	$0$	$[6]$
21.a1	21a5	21.a	21a	$[1, 0, 0, -784, -8515]$	$0$	$[2]$
21.a2	21a2	21.a	21a	$[1, 0, 0, -49, -136]$	$0$	$[2, 2]$
21.a3	21a3	21.a	21a	$[1, 0, 0, -39, 90]$	$0$	$[8]$
21.a4	21a6	21.a	21a	$[1, 0, 0, -34, -217]$	$0$	$[2]$
21.a5	21a1	21.a	21a	$[1, 0, 0, -4, -1]$	$0$	$[2, 4]$
21.a6	21a4	21.a	21a	$[1, 0, 0, 1, 0]$	$0$	$[4]$
24.a1	24a5	24.a	24a	$[0, -1, 0, -384, -2772]$	$0$	$[2]$
24.a2	24a3	24.a	24a	$[0, -1, 0, -64, 220]$	$0$	$[4]$
24.a3	24a2	24.a	24a	$[0, -1, 0, -24, -36]$	$0$	$[2, 2]$
24.a4	24a1	24.a	24a	$[0, -1, 0, -4, 4]$	$0$	$[2, 4]$
24.a5	24a4	24.a	24a	$[0, -1, 0, 1, 0]$	$0$	$[4]$
24.a6	24a6	24.a	24a	$[0, -1, 0, 16, -180]$	$0$	$[2]$
26.a1	26a2	26.a	26a	$[1, 0, 1, -460, -3830]$	$0$	trivial
26.a2	26a1	26.a	26a	$[1, 0, 1, -5, -8]$	$0$	$[3]$
26.a3	26a3	26.a	26a	$[1, 0, 1, 0, 0]$	$0$	$[3]$
26.b1	26b2	26.b	26b	$[1, -1, 1, -213, -1257]$	$0$	trivial
26.b2	26b1	26.b	26b	$[1, -1, 1, -3, 3]$	$0$	$[7]$
27.a1	27a2	27.a	27a	$[0, 0, 1, -270, -1708]$	$0$	trivial
27.a2	27a4	27.a	27a	$[0, 0, 1, -30, 63]$	$0$	$[3]$
27.a3	27a1	27.a	27a	$[0, 0, 1, 0, -7]$	$0$	$[3]$
27.a4	27a3	27.a	27a	$[0, 0, 1, 0, 0]$	$0$	$[3]$
30.a1	30a7	30.a	30a	$[1, 0, 1, -5334, -150368]$	$0$	$[2]$