Cremona's table of elliptic curves

31668 = 2² · 3 · 7 · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
31668a (1 curve)	1	2- 3+ 7+ 13+ 29-	2- 3+  3 7+  0 13+  3 -4
Curve Equation t Generators 31668a1 [0,-1,0,-29,201] 1 [-5:14:1]
31668b (2 curves)	1	2- 3+ 7- 13+ 29+	2- 3+  2 7-  4 13+ -4 -4
Curve Equation t Generators 31668b1 [0,-1,0,2443,-444378] 2 [73:343:1] 31668b2 [0,-1,0,-74452,-7487960] 2 [2270:107310:1]
31668c (2 curves)	0	2- 3- 7+ 13- 29+	2- 3-  2 7+  0 13-  8  6
Curve Equation t 31668c1 [0,1,0,-72917,7523880] 2 31668c2 [0,1,0,-1165372,483834260] 2
31668d (1 curve)	0	2- 3- 7- 13+ 29+	2- 3- -1 7- -4 13+ -3 -4
Curve Equation t 31668d1 [0,1,0,-349181,-79936689] 1
31668e (2 curves)	1	2- 3- 7- 13+ 29-	2- 3-  0 7- -2 13+  0 -4
Curve Equation t Generators 31668e1 [0,1,0,447,10992] 2 [-7:87:1] 31668e2 [0,1,0,-5468,138756] 2 [-56:522:1]
31668f (2 curves)	1	2- 3- 7- 13- 29+	2- 3-  2 7-  0 13-  0 -6
Curve Equation t Generators 31668f1 [0,1,0,-117,360] 2 [36:210:1] 31668f2 [0,1,0,-572,-5100] 2 [314:1485:8]
31668g (2 curves)	2	2- 3- 7- 13- 29-	2- 3- -2 7- -6 13- -4 -8
Curve Equation t Generators 31668g1 [0,1,0,-26369,283416] 2 [-155:819:1]&[-119:1323:1] 31668g2 [0,1,0,-316204,68220740] 2 [-637:3402:1]&[92:6318:1]

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

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