Cremona's table of elliptic curves

20631 = 3 · 13 · 23²

Class	r	Atkin-Lehner	Eigenvalues
20631a (4 curves)	1	3+ 13- 23-	1 3+ -2  4 -4 13- -2  0
Curve Equation t Generators 20631a1 [1,1,0,254,3415] 2 [-87234:203377:9261] 20631a2 [1,1,0,-2391,37800] 4 [28854:1718577:8] 20631a3 [1,1,0,-10326,-370059] 2 [-44:61:1] 20631a4 [1,1,0,-36776,2699199] 2 [702:2823:8]
20631b (2 curves)	1	3+ 13- 23-	1 3+  4 -2  2 13- -2 -6
Curve Equation t Generators 20631b1 [1,1,0,-51588,-68163525] 2 [1915197153750:23247614701485:3716672149] 20631b2 [1,1,0,-2836773,-1825615260] 2 [819971042965722915790:-76941047316721786357827:90645917041961000]
20631c (4 curves)	1	3+ 13- 23-	-1 3+  2  0  0 13- -6  4
Curve Equation t Generators 20631c1 [1,1,1,-10062,383898] 4 [24953700:-8842489:421875] 20631c2 [1,1,1,-12707,162776] 4 [14388:1718668:1] 20631c3 [1,1,1,-115862,-15104164] 2 [388515:46399304:27] 20631c4 [1,1,1,48128,1330808] 2 [236:4971:1]
20631d (4 curves)	1	3+ 13- 23-	-1 3+ -2 -4  0 13- -2  0
Curve Equation t Generators 20631d1 [1,1,1,-27519,-2272740] 4 [210:1019:1] 20631d2 [1,1,1,-474524,-126003724] 4 [7087:590192:1] 20631d3 [1,1,1,-7592219,-8055115954] 2 [77871442:6055831655:10648] 20631d4 [1,1,1,-508909,-106734370] 2 [-15820:136425:64]
20631e (2 curves)	1	3- 13+ 23-	-1 3-  2  2  0 13+ -6  2
Curve Equation t Generators 20631e1 [1,0,0,58,123] 2 [1:13:1] 20631e2 [1,0,0,-287,1020] 2 [24:78:1]
20631f (2 curves)	1	3- 13+ 23-	-1 3- -2 -2  0 13+  6 -2
Curve Equation t Generators 20631f1 [1,0,0,30671,-1435192] 2 [407:8657:1] 20631f2 [1,0,0,-151834,-12714001] 2 [675554:8188709:1331]
20631g (2 curves)	0	3- 13- 23-	1 3-  0  2  6 13-  6 -2
Curve Equation t 20631g1 [1,0,1,69237889,726818911085] 2 20631g2 [1,0,1,-912832096,9678583238357] 2
20631h (4 curves)	0	3- 13- 23-	-1 3- -2  4  4 13- -6  8
Curve Equation t 20631h1 [1,0,0,-10369469,-13032651912] 4 20631h2 [1,0,0,-166554074,-827347945461] 4 20631h3 [1,0,0,-2664865019,-52949609190996] 2 20631h4 [1,0,0,-167196809,-820640748642] 2
20631i (2 curves)	0	3- 13- 23-	-1 3-  4 -2 -2 13-  6  2
Curve Equation t 20631i1 [1,0,0,-11,109488] 2 20631i2 [1,0,0,-34396,2413283] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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