Cremona's table of elliptic curves

1035 = 3² · 5 · 23

Class	r	Atkin-Lehner	Eigenvalues
1035a (1 curve)	1	3- 5+ 23-	2 3- 5+ -5  2 -6 -1  2
Curve Equation t Generators 1035a1 [0,0,1,-903,-11871] 1 [418:2309:8]
1035b (1 curve)	1	3- 5+ 23-	-2 3- 5+  3 -2 -2 -5 -2
Curve Equation t Generators 1035b1 [0,0,1,267,2344] 1 [16:-104:1]
1035c (1 curve)	1	3- 5- 23+	0 3- 5-  1 -4  0 -5  0
Curve Equation t Generators 1035c1 [0,0,1,-6582,205537] 1 [37:112:1]
1035d (1 curve)	1	3- 5- 23+	0 3- 5- -3  4  0  3 -8
Curve Equation t Generators 1035d1 [0,0,1,-12,-45] 1 [5:4:1]
1035e (1 curve)	1	3- 5- 23+	-2 3- 5-  1 -2 -2 -3 -2
Curve Equation t Generators 1035e1 [0,0,1,63,290] 1 [3:22:1]
1035f (4 curves)	0	3- 5- 23-	1 3- 5-  4  4 -2 -6  8
Curve Equation t 1035f1 [1,-1,0,81,0] 2 1035f2 [1,-1,0,-324,243] 4 1035f3 [1,-1,0,-3429,-76140] 2 1035f4 [1,-1,0,-3699,87318] 4
1035g (4 curves)	0	3- 5- 23-	-1 3- 5-  4 -4  6  2 -4
Curve Equation t 1035g1 [1,-1,1,4108,-64834] 4 1035g2 [1,-1,1,-19697,-550456] 4 1035g3 [1,-1,1,-271202,-54271924] 2 1035g4 [1,-1,1,-149072,21805544] 2

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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