Cremona's table of elliptic curves

2275 = 5² · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
2275a (3 curves)	1	5+ 7+ 13+	0  2 5+ 7+  0 13+  6 -7
Curve Equation t Generators 2275a1 [0,-1,1,-183,1018] 1 [8:1:1] 2275a2 [0,-1,1,317,4643] 1 [33:223:1] 2275a3 [0,-1,1,-2933,-149732] 1 [2262628:7273216:29791]
2275b (1 curve)	1	5+ 7+ 13+	-2  1 5+ 7+  4 13+ -2  2
Curve Equation t Generators 2275b1 [0,1,1,-8,4] 1 [-1:3:1]
2275c (4 curves)	0	5+ 7- 13+	1  0 5+ 7-  0 13+  6  0
Curve Equation t 2275c1 [1,-1,0,-1667,26616] 2 2275c2 [1,-1,0,-1792,22491] 4 2275c3 [1,-1,0,-9917,-359384] 2 2275c4 [1,-1,0,4333,138866] 2
2275d (4 curves)	1	5+ 7- 13-	-1  0 5+ 7-  0 13-  2 -4
Curve Equation t Generators 2275d1 [1,-1,1,-1255,12622] 4 [-20:181:1] 2275d2 [1,-1,1,-7380,-232378] 4 [-45:106:1] 2275d3 [1,-1,1,-116755,-15326128] 2 [599:11075:1] 2275d4 [1,-1,1,3995,-892128] 2 [4190:94123:8]
2275e (1 curve)	1	5+ 7- 13-	2  0 5+ 7- -6 13- -4  5
Curve Equation t Generators 2275e1 [0,0,1,25,31] 1 [2:45:8]
2275f (2 curves)	0	5- 7+ 13+	-1 -2 5- 7+  6 13+ -2  0
Curve Equation t 2275f1 [1,0,0,-6013,-178608] 2 2275f2 [1,0,0,-10388,114517] 2
2275g (2 curves)	0	5- 7- 13-	1  2 5- 7-  6 13-  2  0
Curve Equation t 2275g1 [1,1,0,-240,-1525] 2 2275g2 [1,1,0,-415,750] 2
2275h (1 curve)	0	5- 7- 13-	2 -1 5- 7-  4 13-  2  2
Curve Equation t 2275h1 [0,-1,1,-208,943] 1

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

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