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 37334 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
5077.a1	5077a1	5077.a	5077a	$[0, 0, 1, -7, 6]$	$3$	trivial
11197.a1	11197a1	11197.a	11197a	$[1, -1, 1, -6, 0]$	$3$	trivial
11642.a1	11642a1	11642.a	11642a	$[1, -1, 0, -16, 28]$	$3$	trivial
12279.a1	12279a1	12279.a	12279a	$[0, -1, 1, -10, 12]$	$3$	trivial
13766.a1	13766a1	13766.a	13766a	$[1, 0, 1, -23, 42]$	$3$	trivial
16811.a1	16811a1	16811.a	16811a	$[0, 0, 1, -1, 6]$	$3$	trivial
18097.a1	18097b1	18097.a	18097b	$[1, 1, 1, -10, 6]$	$3$	trivial
18562.a1	18562c1	18562.a	18562c	$[1, 0, 1, -20, 30]$	$3$	trivial
18745.a1	18745a1	18745.a	18745a	$[0, 1, 1, -146, 636]$	$3$	trivial
20888.a1	20888a1	20888.a	20888a	$[0, 0, 0, -52, 100]$	$3$	trivial
21443.a1	21443a1	21443.a	21443a	$[1, 1, 1, -5, 6]$	$3$	trivial
21858.a1	21858a1	21858.a	21858a	$[1, 1, 0, -32, 60]$	$3$	trivial
22481.b1	22481a1	22481.b	22481a	$[1, -1, 1, 6, 2]$	$3$	trivial
22696.a1	22696a1	22696.a	22696a	$[0, 1, 0, -105, 379]$	$3$	trivial
24301.a1	24301a1	24301.a	24301a	$[1, 0, 0, -44, 109]$	$3$	trivial
24546.a1	24546a1	24546.a	24546a	$[1, 1, 0, -39, 81]$	$3$	trivial
24646.a1	24646b1	24646.a	24646b	$[1, 0, 1, -13, 12]$	$3$	trivial
25071.a1	25071a1	25071.a	25071a	$[0, -1, 1, -24, -16]$	$3$	trivial
25383.a1	25383a1	25383.a	25383a	$[0, -1, 1, -32, 80]$	$3$	trivial
25451.c1	25451a1	25451.c	25451a	$[1, 1, 1, -54, 136]$	$3$	trivial
25751.a1	25751a1	25751.a	25751a	$[1, 0, 0, -39, 94]$	$3$	trivial
26171.a1	26171a1	26171.a	26171a	$[0, 0, 1, -49, 132]$	$3$	trivial
26198.a1	26198a1	26198.a	26198a	$[1, -1, 0, -16, 16]$	$3$	trivial
26284.a1	26284a1	26284.a	26284a	$[0, 1, 0, -9, 16]$	$3$	trivial
26743.a1	26743a1	26743.a	26743a	$[1, 0, 0, 6, -5]$	$3$	trivial
27262.a1	27262c1	27262.a	27262c	$[1, -1, 1, -237, 1365]$	$3$	trivial
27382.a1	27382a1	27382.a	27382a	$[1, 0, 1, -10, 0]$	$3$	trivial
27448.a1	27448d1	27448.a	27448d	$[0, 0, 0, -79, 274]$	$3$	trivial
27584.a1	27584bd1	27584.a	27584bd	$[0, 0, 0, -4, 64]$	$3$	trivial
27746.a1	27746a1	27746.a	27746a	$[1, 0, 1, -12, 26]$	$3$	trivial
27747.a1	27747c1	27747.a	27747c	$[0, 0, 1, -327, 2286]$	$3$	trivial
27773.a1	27773a1	27773.a	27773a	$[1, -1, 1, -21, 42]$	$3$	trivial
27808.a1	27808a1	27808.a	27808a	$[0, 0, 0, -364, 2656]$	$3$	trivial
28042.a1	28042b1	28042.a	28042b	$[1, -1, 0, -19, 49]$	$3$	trivial
28498.a1	28498a1	28498.a	28498a	$[1, -1, 0, -13, 25]$	$3$	trivial
28571.a1	28571a1	28571.a	28571a	$[0, -1, 1, -4, 10]$	$3$	trivial
29157.a1	29157b1	29157.a	29157b	$[0, 1, 1, -240, 1190]$	$3$	trivial
30064.a1	30064c1	30064.a	30064c	$[0, 1, 0, -152, 676]$	$3$	trivial
30148.a1	30148b1	30148.a	30148b	$[0, 0, 0, -37, 85]$	$3$	trivial
30376.a1	30376a1	30376.a	30376a	$[0, 1, 0, -25, -21]$	$3$	trivial
30446.c1	30446a1	30446.c	30446a	$[1, 1, 0, -39, -59]$	$3$	trivial
30487.b1	30487a1	30487.b	30487a	$[0, 0, 1, -28, -15]$	$3$	trivial
30767.a1	30767d1	30767.a	30767d	$[0, 0, 1, -31, 60]$	$3$	trivial
30815.a1	30815a1	30815.a	30815a	$[0, 1, 1, -16, 26]$	$3$	trivial
31478.a1	31478b1	31478.a	31478b	$[1, 0, 1, -5, 12]$	$3$	trivial
31737.a1	31737a1	31737.a	31737a	$[0, -1, 1, -34, 90]$	$3$	trivial
31814.a1	31814a1	31814.a	31814a	$[1, 0, 1, 2, 12]$	$3$	trivial
32192.a1	32192e1	32192.a	32192e	$[0, 0, 0, -52, 160]$	$3$	trivial
32244.a1	32244c1	32244.a	32244c	$[0, -1, 0, -30, 81]$	$3$	trivial
32276.a1	32276b1	32276.a	32276b	$[0, 1, 0, -17, 16]$	$3$	trivial