Cremona's table of elliptic curves

4641 = 3 · 7 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
4641a (4 curves)	1	3+ 7+ 13- 17-	-1 3+  2 7+  4 13- 17-  4
Curve Equation t Generators 4641a1 [1,1,1,-102,-366] 4 [1780:3606:125] 4641a2 [1,1,1,-1547,-24064] 4 [58:263:1] 4641a3 [1,1,1,-24752,-1509184] 2 [415:7532:1] 4641a4 [1,1,1,-1462,-26716] 2 [74:489:1]
4641b (6 curves)	1	3+ 7+ 13- 17-	-1 3+ -2 7+ -4 13- 17- -4
Curve Equation t Generators 4641b1 [1,1,1,-1644,24972] 4 [279:4484:1] 4641b2 [1,1,1,-1649,24806] 8 [-43:157:1] 4641b3 [1,1,1,-3094,-27214] 4 [-22:186:1] 4641b4 [1,1,1,-284,66302] 4 [13:248:1] 4641b5 [1,1,1,-40579,-3160960] 2 [-116:103:1] 4641b6 [1,1,1,11271,-193848] 2 [199:3059:1]
4641c (1 curve)	1	3+ 7+ 13- 17-	2 3+  1 7+  2 13- 17- -7
Curve Equation t Generators 4641c1 [0,-1,1,-22750,1919349] 1 [-450394:3010127:2744]
4641d (2 curves)	1	3- 7+ 13- 17+	1 3-  0 7+  4 13- 17+ -8
Curve Equation t Generators 4641d1 [1,0,1,-46,107] 2 [7:8:1] 4641d2 [1,0,1,39,481] 2 [-1:21:1]
4641e (1 curve)	0	3- 7+ 13- 17-	2 3- -3 7+  2 13- 17-  1
Curve Equation t 4641e1 [0,1,1,-2912,-61465] 1
4641f (1 curve)	1	3- 7- 13+ 17+	-2 3-  3 7- -6 13+ 17+ -1
Curve Equation t Generators 4641f1 [0,1,1,-14,-310] 1 [10:25:1]
4641g (2 curves)	1	3- 7- 13- 17-	-1 3- -4 7- -4 13- 17-  0
Curve Equation t Generators 4641g1 [1,0,0,-455,3696] 2 [-5:79:1] 4641g2 [1,0,0,-370,5141] 2 [23:-106:1]

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

Part of Computational Number Theory
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