Cremona's table of elliptic curves

5475 = 3 · 5² · 73

Class	r	Atkin-Lehner	Eigenvalues
5475a (2 curves)	1	3+ 5+ 73+	0 3+ 5+  4  0  4 -3 -1
Curve Equation t Generators 5475a1 [0,-1,1,67,143] 1 [1:14:1] 5475a2 [0,-1,1,-683,-9232] 1 [976:30464:1]
5475b (4 curves)	1	3+ 5+ 73+	1 3+ 5+  0  0  2  2 -4
Curve Equation t Generators 5475b1 [1,1,0,-1025,12000] 2 [16:-4:1] 5475b2 [1,1,0,-2150,-20625] 4 [-322:579:8] 5475b3 [1,1,0,-29525,-1964250] 2 [-5537398:3708561:54872] 5475b4 [1,1,0,7225,-142500] 2 [231418:1580649:10648]
5475c (1 curve)	1	3+ 5+ 73+	-2 3+ 5+ -3  6 -7  2 -1
Curve Equation t Generators 5475c1 [0,-1,1,-34322708,-77385002182] 1 [248034269436085:-32052292247972358:13227977125]
5475d (1 curve)	0	3+ 5- 73+	0 3+ 5- -1  0 -1  2 -1
Curve Equation t 5475d1 [0,-1,1,-30433,3634593] 1
5475e (1 curve)	0	3+ 5- 73+	0 3+ 5-  3  0  3 -6 -1
Curve Equation t 5475e1 [0,-1,1,917,3693] 1
5475f (1 curve)	1	3- 5+ 73-	0 3- 5+  1  0  1 -2 -1
Curve Equation t Generators 5475f1 [0,1,1,-760833,452802494] 1 [-486:26608:1]
5475g (1 curve)	1	3- 5+ 73-	0 3- 5+ -3  0 -3  6 -1
Curve Equation t Generators 5475g1 [0,1,1,37,44] 1 [22:109:1]
5475h (2 curves)	1	3- 5+ 73-	-1 3- 5+ -2 -4  2  0 -4
Curve Equation t Generators 5475h1 [1,0,0,-2063,-34008] 2 [-29:55:1] 5475h2 [1,0,0,-32438,-2251383] 2 [-104:55:1]
5475i (1 curve)	1	3- 5+ 73-	2 3- 5+ -2 -4  2  3 -1
Curve Equation t Generators 5475i1 [0,1,1,-158,719] 1 [42:59:8]
5475j (1 curve)	0	3- 5- 73-	2 3- 5-  3  6  7 -2 -1
Curve Equation t 5475j1 [0,1,1,-1372908,-619629181] 1

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

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