Cremona's table of elliptic curves

45050 = 2 · 5² · 17 · 53

Class	r	Atkin-Lehner	Eigenvalues
45050a (2 curves)	1	2+ 5+ 17+ 53+	2+  2 5+  0 -2  2 17+  2
Curve Equation t Generators 45050a1 [1,1,0,-50125,3772125] 2 [-738:22455:8] 45050a2 [1,1,0,77875,20028125] 2 [730:21235:1]
45050b (1 curve)	0	2+ 5+ 17+ 53-	2+ -1 5+ -1  4  6 17+  6
Curve Equation t 45050b1 [1,1,0,15,85] 1
45050c (1 curve)	0	2+ 5+ 17+ 53-	2+  2 5+  2 -5 -6 17+ -3
Curve Equation t 45050c1 [1,1,0,-1618700,-150454960] 1
45050d (1 curve)	0	2+ 5+ 17- 53+	2+  2 5+ -1  0 -1 17- -5
Curve Equation t 45050d1 [1,1,0,-25,-375] 1
45050e (2 curves)	1	2+ 5+ 17- 53-	2+ -2 5+ -4  0 -2 17-  8
Curve Equation t Generators 45050e1 [1,0,1,-7076,-228702] 2 [-47:47:1] 45050e2 [1,0,1,-113076,-14644702] 2 [762:18106:1]
45050f (1 curve)	1	2+ 5- 17+ 53-	2+  0 5-  4 -3 -2 17+  1
Curve Equation t Generators 45050f1 [1,-1,0,-1742,-27084] 1 [-1420:1771:64]
45050g (1 curve)	0	2+ 5- 17- 53-	2+  3 5-  1  0 -2 17- -2
Curve Equation t 45050g1 [1,-1,0,8,866] 1
45050h (2 curves)	0	2- 5+ 17+ 53+	2-  0 5+ -4  6  2 17+  4
Curve Equation t 45050h1 [1,-1,1,-3682105,2561847897] 2 45050h2 [1,-1,1,-57954105,169828151897] 2
45050i (2 curves)	0	2- 5+ 17+ 53+	2- -2 5+  2  2 -2 17+ -4
Curve Equation t 45050i1 [1,0,0,-7051288,-7198223808] 2 45050i2 [1,0,0,-5003288,-11464207808] 2
45050j (1 curve)	0	2- 5+ 17+ 53+	2- -3 5+ -1  0  2 17+ -2
Curve Equation t 45050j1 [1,-1,1,195,108447] 1
45050k (4 curves)	1	2- 5+ 17+ 53-	2-  0 5+  0 -4  6 17+ -8
Curve Equation t Generators 45050k1 [1,-1,1,-2380,45247] 2 [13:121:1] 45050k2 [1,-1,1,-2880,25247] 4 [54:593:8] 45050k3 [1,-1,1,10370,184247] 2 [255858:-8964085:216] 45050k4 [1,-1,1,-24130,-1419753] 2 [-1649362:2708965:17576]
45050l (2 curves)	1	2- 5+ 17+ 53-	2-  2 5+  4 -2 -2 17+ -2
Curve Equation t Generators 45050l1 [1,1,1,-2213,-40469] 2 [6825:103324:27] 45050l2 [1,1,1,-213,-108469] 2 [1005:31372:1]
45050m (1 curve)	1	2- 5+ 17- 53+	2-  0 5+ -4 -3  2 17-  1
Curve Equation t Generators 45050m1 [1,-1,1,-70,-203] 1 [-5:3:1]
45050n (2 curves)	1	2- 5+ 17- 53+	2-  2 5+ -5  0 -5 17-  5
Curve Equation t Generators 45050n1 [1,1,1,3387,11531] 1 [9:202:1] 45050n2 [1,1,1,-42988,-3791219] 1 [301:3113:1]
45050o (1 curve)	0	2- 5- 17- 53+	2-  1 5-  1  4 -6 17-  6
Curve Equation t 45050o1 [1,0,0,362,9892] 1
45050p (1 curve)	0	2- 5- 17- 53+	2- -2 5- -2 -5  6 17- -3
Curve Equation t 45050p1 [1,0,0,-40467513,-18725934983] 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
Back to Tables and computations