Cremona's table of elliptic curves

5525 = 5² · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
5525a (1 curve)	1	5+ 13+ 17+	2  1 5+  2 -4 13+ 17+ -6
Curve Equation t Generators 5525a1 [0,1,1,-5208,79369] 1 [-598:1899:8]
5525b (1 curve)	0	5+ 13+ 17-	0  1 5+  2  2 13+ 17-  2
Curve Equation t 5525b1 [0,1,1,-833,619] 1
5525c (2 curves)	0	5+ 13- 17+	1  0 5+  2 -4 13- 17+ -2
Curve Equation t 5525c1 [1,-1,0,-359692,-82941909] 2 5525c2 [1,-1,0,-359567,-83002534] 2
5525d (2 curves)	0	5+ 13- 17+	1  0 5+  2  6 13- 17+  8
Curve Equation t 5525d1 [1,-1,0,-18317,957216] 2 5525d2 [1,-1,0,-292942,61100091] 2
5525e (2 curves)	2	5+ 13- 17+	-1 -2 5+ -2 -6 13- 17+  4
Curve Equation t Generators 5525e1 [1,0,0,-1488,21967] 2 [-27:220:1]&[-3:164:1] 5525e2 [1,0,0,-1363,25842] 2 [-23:224:1]&[11:105:1]
5525f (1 curve)	0	5+ 13- 17+	-2  3 5+  2  2 13- 17+  4
Curve Equation t 5525f1 [0,0,1,-235,-1364] 1
5525g (1 curve)	1	5+ 13- 17-	0 -3 5+  0  0 13- 17- -6
Curve Equation t Generators 5525g1 [0,0,1,-40,96] 1 [6:8:1]
5525h (1 curve)	0	5- 13+ 17+	0  3 5-  0  0 13+ 17+ -6
Curve Equation t 5525h1 [0,0,1,-1000,12031] 1
5525i (1 curve)	1	5- 13+ 17-	2 -3 5- -2  2 13+ 17-  4
Curve Equation t Generators 5525i1 [0,0,1,-5875,-170469] 1 [-350:421:8]
5525j (1 curve)	1	5- 13- 17+	0 -1 5- -2  2 13- 17+  2
Curve Equation t Generators 5525j1 [0,-1,1,-33,18] 1 [-2:8:1]
5525k (1 curve)	2	5- 13- 17-	-2 -1 5- -2 -4 13- 17- -6
Curve Equation t Generators 5525k1 [0,-1,1,-208,718] 1 [-13:32:1]&[-8:42:1]

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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