Cremona's table of elliptic curves

7735 = 5 · 7 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
7735a (1 curve)	0	5+ 7+ 13+ 17-	-1  3 5+ 7+ -1 13+ 17-  7
Curve Equation t 7735a1 [1,-1,1,-18,-68] 1
7735b (1 curve)	0	5+ 7+ 13- 17+	1  1 5+ 7+ -5 13- 17+  1
Curve Equation t 7735b1 [1,0,1,2691,42471] 1
7735c (4 curves)	1	5+ 7+ 13- 17-	-1  0 5+ 7+ -4 13- 17-  4
Curve Equation t Generators 7735c1 [1,-1,1,-10903,440862] 4 [-108:645:1] 7735c2 [1,-1,1,-11748,369206] 4 [-109:642:1] 7735c3 [1,-1,1,-65893,-6193168] 2 [-1314:4031:8] 7735c4 [1,-1,1,28877,2335456] 2 [-65:457:1]
7735d (2 curves)	1	5- 7+ 13- 17+	1 -2 5- 7+ -2 13- 17+ -2
Curve Equation t Generators 7735d1 [1,0,1,-9768,-372367] 2 [139:910:1] 7735d2 [1,0,1,-9523,-391869] 2 [195:2177:1]
7735e (1 curve)	1	5- 7- 13- 17-	-1 -1 5- 7-  1 13- 17-  5
Curve Equation t Generators 7735e1 [1,1,1,-133105,32266050] 1 [548:10873:1]

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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