Cremona's table of elliptic curves

1275 = 3 · 5² · 17

Class	r	Atkin-Lehner	Eigenvalues
1275a (2 curves)	0	3+ 5+ 17-	0 3+ 5+  4 -3  1 17- -1
Curve Equation t 1275a1 [0,-1,1,17,-132] 1 1275a2 [0,-1,1,-1483,-21507] 1
1275b (2 curves)	0	3+ 5- 17+	-1 3+ 5-  4  6 -4 17+  4
Curve Equation t 1275b1 [1,1,1,-3,-144] 2 1275b2 [1,1,1,-428,-3544] 2
1275c (1 curve)	1	3+ 5- 17-	0 3+ 5- -1  2  1 17- -1
Curve Equation t Generators 1275c1 [0,-1,1,17,18] 1 [12:42:1]
1275d (1 curve)	1	3+ 5- 17-	-2 3+ 5-  1  2 -7 17-  3
Curve Equation t Generators 1275d1 [0,-1,1,-2708,-69682] 1 [67:212:1]
1275e (1 curve)	0	3- 5+ 17+	0 3- 5+  1  2 -1 17+ -1
Curve Equation t 1275e1 [0,1,1,417,3119] 1
1275f (1 curve)	0	3- 5+ 17+	2 3- 5+ -1  2  7 17+  3
Curve Equation t 1275f1 [0,1,1,-108,-601] 1
1275g (2 curves)	0	3- 5- 17-	1 3- 5- -4  6  4 17-  4
Curve Equation t 1275g1 [1,0,1,-76,-17827] 2 1275g2 [1,0,1,-10701,-421577] 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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