Cremona's table of elliptic curves

5175 = 3² · 5² · 23

Class	r	Atkin-Lehner	Eigenvalues
5175a (2 curves)	0	3- 5+ 23+	0 3- 5+  1  6 -5  0  5
Curve Equation t 5175a1 [0,0,1,105000,-299219] 1 5175a2 [0,0,1,-1413750,696047656] 1
5175b (2 curves)	0	3- 5+ 23+	1 3- 5+  2 -4  6  4  2
Curve Equation t 5175b1 [1,-1,0,-117,2416] 2 5175b2 [1,-1,0,-3492,80041] 2
5175c (4 curves)	0	3- 5+ 23+	1 3- 5+ -4 -4 -6 -2 -4
Curve Equation t 5175c1 [1,-1,0,102708,-8001509] 2 5175c2 [1,-1,0,-492417,-69299384] 4 5175c3 [1,-1,0,-6780042,-6790770509] 2 5175c4 [1,-1,0,-3726792,2721966241] 2
5175d (1 curve)	0	3- 5+ 23+	-1 3- 5+ -3 -5 -1  8  1
Curve Equation t 5175d1 [1,-1,1,-137345,-19556998] 1
5175e (4 curves)	0	3- 5+ 23+	-1 3- 5+ -4  4  2  6  8
Curve Equation t 5175e1 [1,-1,1,2020,2022] 2 5175e2 [1,-1,1,-8105,22272] 4 5175e3 [1,-1,1,-85730,-9603228] 2 5175e4 [1,-1,1,-92480,10822272] 2
5175f (1 curve)	0	3- 5+ 23+	-1 3- 5+  5 -5 -1  0 -7
Curve Equation t 5175f1 [1,-1,1,-7475,-139908] 1
5175g (1 curve)	0	3- 5+ 23+	2 3- 5+ -3 -2  2  5 -2
Curve Equation t 5175g1 [0,0,1,6675,293031] 1
5175h (1 curve)	0	3- 5+ 23+	-2 3- 5+  5  2  6  1  2
Curve Equation t 5175h1 [0,0,1,-22575,-1483844] 1
5175i (1 curve)	1	3- 5+ 23-	0 3- 5+ -1 -4  0  5  0
Curve Equation t Generators 5175i1 [0,0,1,-164550,25692156] 1 [230:112:1]
5175j (1 curve)	1	3- 5+ 23-	0 3- 5+  3  4  0 -3 -8
Curve Equation t Generators 5175j1 [0,0,1,-300,-5594] 1 [70:562:1]
5175k (1 curve)	1	3- 5+ 23-	0 3- 5+ -3 -2  3  0  1
Curve Equation t Generators 5175k1 [0,0,1,-1020,12541] 1 [31:103:1]
5175l (1 curve)	1	3- 5+ 23-	-1 3- 5+ -1  1 -1  0 -5
Curve Equation t Generators 5175l1 [1,-1,1,-20,-8] 1 [-2:5:1]
5175m (1 curve)	1	3- 5+ 23-	-1 3- 5+  3  1 -1 -4  7
Curve Equation t Generators 5175m1 [1,-1,1,-171680,-27038428] 1 [-222:421:1]
5175n (1 curve)	1	3- 5+ 23-	2 3- 5+ -1 -2  2  3 -2
Curve Equation t Generators 5175n1 [0,0,1,1575,36281] 1 [210:2471:8]
5175o (1 curve)	1	3- 5- 23+	0 3- 5-  3 -2 -3  0  1
Curve Equation t Generators 5175o1 [0,0,1,-25500,1567656] 1 [86:103:1]
5175p (1 curve)	1	3- 5- 23+	1 3- 5-  1  1  1  0 -5
Curve Equation t Generators 5175p1 [1,-1,0,-492,-1459] 1 [-20:19:1]
5175q (1 curve)	1	3- 5- 23+	1 3- 5- -3  1  1  4  7
Curve Equation t Generators 5175q1 [1,-1,0,-6867,-214934] 1 [-46:68:1]
5175r (2 curves)	1	3- 5- 23+	-1 3- 5-  0  0  4  0 -2
Curve Equation t Generators 5175r1 [1,-1,1,-50,-48] 2 [-6:5:1] 5175r2 [1,-1,1,175,-498] 2 [14:60:1]
5175s (2 curves)	1	3- 5- 23+	-1 3- 5-  2  0  4 -2 -4
Curve Equation t Generators 5175s1 [1,-1,1,-320,2882] 2 [-6:70:1] 5175s2 [1,-1,1,-5495,158132] 2 [39:25:1]
5175t (1 curve)	1	3- 5- 23+	2 3- 5- -1  0 -2 -5  8
Curve Equation t Generators 5175t1 [0,0,1,-165,-819] 1 [130:221:8]
5175u (2 curves)	0	3- 5- 23-	0 3- 5- -1  6  5  0  5
Curve Equation t 5175u1 [0,0,1,4200,-2394] 1 5175u2 [0,0,1,-56550,5568381] 3
5175v (2 curves)	0	3- 5- 23-	1 3- 5-  0  0 -4  0 -2
Curve Equation t 5175v1 [1,-1,0,-1242,-7209] 2 5175v2 [1,-1,0,4383,-57834] 2
5175w (2 curves)	0	3- 5- 23-	1 3- 5- -2  0 -4  2 -4
Curve Equation t 5175w1 [1,-1,0,-7992,352291] 2 5175w2 [1,-1,0,-137367,19629166] 2
5175x (1 curve)	0	3- 5- 23-	1 3- 5-  3 -5  1 -8  1
Curve Equation t 5175x1 [1,-1,0,-3433617,-2448058334] 1
5175y (1 curve)	0	3- 5- 23-	1 3- 5- -5 -5  1  0 -7
Curve Equation t 5175y1 [1,-1,0,-186867,-17675334] 1
5175z (1 curve)	0	3- 5- 23-	-2 3- 5-  1  0  2  5  8
Curve Equation t 5175z1 [0,0,1,-4125,-102344] 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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