Cremona's table of elliptic curves

4675 = 5² · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
4675a (1 curve)	1	5+ 11+ 17+	1 -2 5+  3 11+  0 17+  6
Curve Equation t Generators 4675a1 [1,0,1,-1,3] 1 [1:1:1]
4675b (1 curve)	1	5+ 11+ 17+	-1 -1 5+ -3 11+  5 17+  2
Curve Equation t Generators 4675b1 [1,1,1,42,76] 1 [14:53:1]
4675c (1 curve)	1	5+ 11+ 17+	-1  2 5+  3 11+ -4 17+  2
Curve Equation t Generators 4675c1 [1,1,1,-4423,-115064] 1 [4214818:14022875:50653]
4675d (1 curve)	1	5+ 11+ 17+	-1 -3 5+  3 11+  1 17+  2
Curve Equation t Generators 4675d1 [1,-1,1,-28065,1833402] 1 [398:7121:1]
4675e (1 curve)	1	5+ 11+ 17+	2  0 5+  3 11+ -2 17+ -4
Curve Equation t Generators 4675e1 [0,0,1,-3125,75781] 1 [20552:62491:512]
4675f (1 curve)	1	5+ 11+ 17+	2  2 5+ -3 11+ -4 17+  2
Curve Equation t Generators 4675f1 [0,-1,1,-448,3803] 1 [804:-29:64]
4675g (1 curve)	1	5+ 11+ 17+	-2  0 5+  5 11+ -4 17+  2
Curve Equation t Generators 4675g1 [0,0,1,175,156] 1 [0:12:1]
4675h (2 curves)	0	5+ 11+ 17-	0  2 5+ -5 11+  4 17- -4
Curve Equation t 4675h1 [0,-1,1,-328883,72705418] 1 4675h2 [0,-1,1,-241383,112146043] 1
4675i (1 curve)	2	5+ 11+ 17-	-1 -3 5+ -3 11+ -5 17- -4
Curve Equation t Generators 4675i1 [1,-1,1,45,132] 1 [20:83:1]&[0:11:1]
4675j (1 curve)	0	5+ 11+ 17-	2  0 5+  0 11+  4 17-  2
Curve Equation t 4675j1 [0,0,1,-70625,-7224219] 1
4675k (1 curve)	0	5+ 11- 17+	0  2 5+ -3 11-  0 17+  0
Curve Equation t 4675k1 [0,-1,1,-33,-407] 1
4675l (2 curves)	1	5+ 11- 17-	0 -1 5+ -2 11- -2 17-  2
Curve Equation t Generators 4675l1 [0,-1,1,267,3243] 1 [13:93:1] 4675l2 [0,-1,1,-2483,-108132] 1 [188:2456:1]
4675m (1 curve)	0	5- 11+ 17+	1  3 5-  3 11+  5 17+ -4
Curve Equation t 4675m1 [1,-1,0,1133,17666] 1
4675n (1 curve)	0	5- 11+ 17+	-2  0 5-  0 11+ -4 17+  2
Curve Equation t 4675n1 [0,0,1,-2825,-57794] 1
4675o (1 curve)	1	5- 11+ 17-	1  1 5-  3 11+ -5 17-  2
Curve Equation t Generators 4675o1 [1,0,1,1049,7423] 1 [129:2947:27]
4675p (1 curve)	1	5- 11+ 17-	1 -2 5- -3 11+  4 17-  2
Curve Equation t Generators 4675p1 [1,0,1,-110576,-14161827] 1 [7927:701186:1]
4675q (1 curve)	1	5- 11+ 17-	1  3 5- -3 11+ -1 17-  2
Curve Equation t Generators 4675q1 [1,-1,0,-701617,228473666] 1 [97626:5675818:27]
4675r (1 curve)	1	5- 11+ 17-	-1  2 5- -3 11+  0 17-  6
Curve Equation t Generators 4675r1 [1,1,1,-13,406] 1 [10:32:1]
4675s (1 curve)	1	5- 11+ 17-	-2  0 5- -3 11+  2 17- -4
Curve Equation t Generators 4675s1 [0,0,1,-125,606] 1 [6:8:1]
4675t (1 curve)	1	5- 11+ 17-	-2 -2 5-  3 11+  4 17-  2
Curve Equation t Generators 4675t1 [0,1,1,-11208,452994] 1 [58:37:1]

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

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