Cremona's table of elliptic curves

23175 = 3² · 5² · 103

Class	r	Atkin-Lehner	Eigenvalues
23175a (1 curve)	0	3+ 5+ 103-	0 3+ 5+  3  6  3  8 -5
Curve Equation t 23175a1 [0,0,1,-3750,119531] 1
23175b (1 curve)	0	3+ 5+ 103-	0 3+ 5+  3 -6  3 -8 -5
Curve Equation t 23175b1 [0,0,1,-33750,-3227344] 1
23175c (1 curve)	2	3+ 5- 103+	0 3+ 5- -3  6 -3 -8 -5
Curve Equation t Generators 23175c1 [0,0,1,-150,956] 1 [-78:305:8]&[-6:40:1]
23175d (1 curve)	2	3+ 5- 103+	0 3+ 5- -3 -6 -3  8 -5
Curve Equation t Generators 23175d1 [0,0,1,-1350,-25819] 1 [45:67:1]&[55:257:1]
23175e (1 curve)	0	3+ 5- 103+	1 3+ 5- -1  4  0  3 -2
Curve Equation t 23175e1 [1,-1,0,-312,-2179] 1
23175f (1 curve)	2	3+ 5- 103+	-1 3+ 5- -1 -4  0 -3 -2
Curve Equation t Generators 23175f1 [1,-1,1,-35,92] 1 [-6:10:1]&[3:1:1]
23175g (1 curve)	1	3+ 5- 103-	1 3+ 5-  1 -4  0  3 -2
Curve Equation t Generators 23175g1 [1,-1,0,-867,10666] 1 [-6:128:1]
23175h (1 curve)	1	3+ 5- 103-	-1 3+ 5-  1  4  0 -3 -2
Curve Equation t Generators 23175h1 [1,-1,1,-7805,-280178] 1 [103:-25:1]
23175i (1 curve)	0	3- 5+ 103+	-1 3- 5+ -1 -6  1 -3  5
Curve Equation t 23175i1 [1,-1,1,70195,6981572] 1
23175j (1 curve)	0	3- 5+ 103+	-1 3- 5+  2  2  5  0 -8
Curve Equation t 23175j1 [1,-1,1,-1355,-31728] 1
23175k (1 curve)	0	3- 5+ 103+	-1 3- 5+  3 -2 -7 -7  1
Curve Equation t 23175k1 [1,-1,1,-3425,-78928] 1
23175l (1 curve)	1	3- 5+ 103-	0 3- 5+ -1  2  3  0  7
Curve Equation t Generators 23175l1 [0,0,1,-2550,106141] 1 [-11:364:1]
23175m (1 curve)	1	3- 5+ 103-	0 3- 5+  3  0 -1 -8  3
Curve Equation t Generators 23175m1 [0,0,1,870,29686] 1 [-14:121:1]
23175n (1 curve)	1	3- 5+ 103-	-1 3- 5+  1 -2  5 -3 -1
Curve Equation t Generators 23175n1 [1,-1,1,-185,1032] 1 [8:0:1]
23175o (1 curve)	1	3- 5- 103+	0 3- 5-  1  2 -3  0  7
Curve Equation t Generators 23175o1 [0,0,1,-63750,13267656] 1 [-54:4068:1]
23175p (1 curve)	1	3- 5- 103+	0 3- 5- -3  0  1  8  3
Curve Equation t Generators 23175p1 [0,0,1,21750,3710781] 1 [-75:1287:1]
23175q (1 curve)	1	3- 5- 103+	1 3- 5- -1 -2 -5  3 -1
Curve Equation t Generators 23175q1 [1,-1,0,-4617,124416] 1 [48:84:1]
23175r (2 curves)	1	3- 5- 103+	-1 3- 5-  0  4  4 -6 -4
Curve Equation t Generators 23175r1 [1,-1,1,-275,1802] 2 [4:25:1] 23175r2 [1,-1,1,-50,4502] 2 [-6:70:1]
23175s (1 curve)	1	3- 5- 103+	-1 3- 5-  2  2  0  0  7
Curve Equation t Generators 23175s1 [1,-1,1,445,-18178] 1 [1038:5780:27]
23175t (1 curve)	1	3- 5- 103+	-1 3- 5-  3 -2 -2  3 -4
Curve Equation t Generators 23175t1 [1,-1,1,-8600,-5032348] 1 [15732:169249:64]
23175u (2 curves)	0	3- 5- 103-	1 3- 5-  0  4 -4  6 -4
Curve Equation t 23175u1 [1,-1,0,-6867,218416] 2 23175u2 [1,-1,0,-1242,561541] 2
23175v (1 curve)	0	3- 5- 103-	1 3- 5-  1 -6 -1  3  5
Curve Equation t 23175v1 [1,-1,0,2808,55291] 1
23175w (1 curve)	0	3- 5- 103-	1 3- 5- -2  2  0  0  7
Curve Equation t 23175w1 [1,-1,0,18,-149] 1
23175x (1 curve)	0	3- 5- 103-	1 3- 5- -3 -2  2 -3 -4
Curve Equation t 23175x1 [1,-1,0,-214992,-629258459] 1
23175y (1 curve)	0	3- 5- 103-	1 3- 5- -3 -2  7  7  1
Curve Equation t 23175y1 [1,-1,0,-85617,-9951584] 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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