Cremona's table of elliptic curves

80475 = 3 · 5² · 29 · 37

Class	r	Atkin-Lehner	Eigenvalues
80475a (2 curves)	1	3+ 5+ 29+ 37+	1 3+ 5+ -4  2  4  2 -6
Curve Equation t Generators 80475a1 [1,1,0,-46275,3807000] 2 [20:1690:1] 80475a2 [1,1,0,-32400,6151875] 2 [382:17183:8]
80475b (1 curve)	2	3+ 5+ 29- 37+	2 3+ 5+ -1  2 -3 -6 -1
Curve Equation t Generators 80475b1 [0,-1,1,-1358368,610037523] 1 [6474:50649:8]&[9354:199023:8]
80475c (1 curve)	2	3+ 5+ 29- 37+	-2 3+ 5+ -1 -6  1 -2 -1
Curve Equation t Generators 80475c1 [0,-1,1,-58,498] 1 [-9:14:1]&[3:-19:1]
80475d (1 curve)	0	3+ 5+ 29- 37+	-2 3+ 5+ -5  0 -2 -6  1
Curve Equation t 80475d1 [0,-1,1,-408,-4282] 1
80475e (1 curve)	0	3+ 5- 29- 37-	0 3+ 5-  1  2  1  0  1
Curve Equation t 80475e1 [0,-1,1,-2126133,-1192548157] 1
80475f (1 curve)	2	3+ 5- 29- 37-	0 3+ 5- -3  0 -1  6 -7
Curve Equation t Generators 80475f1 [0,-1,1,-76083,8263943] 1 [-1814:29721:8]&[143:-537:1]
80475g (2 curves)	0	3- 5+ 29+ 37+	1 3- 5+ -4  6  4  2 -2
Curve Equation t 80475g1 [1,0,1,3474,-24677] 2 80475g2 [1,0,1,-14651,-205927] 2
80475h (1 curve)	1	3- 5+ 29- 37+	0 3- 5+ -1  2 -1  0  1
Curve Equation t Generators 80475h1 [0,1,1,-53153333,-149174826256] 1 [294294:159601978:1]
80475i (1 curve)	1	3- 5+ 29- 37+	0 3- 5+  3  0  1 -6 -7
Curve Equation t Generators 80475i1 [0,1,1,-3043,64894] 1 [34:43:1]
80475j (2 curves)	1	3- 5+ 29- 37+	-1 3- 5+  0 -2 -4 -2 -2
Curve Equation t Generators 80475j1 [1,0,0,-688,28367] 2 [-13:194:1] 80475j2 [1,0,0,-18813,988992] 2 [-63:1419:1]
80475k (1 curve)	1	3- 5- 29- 37-	2 3- 5-  1 -6 -1  2 -1
Curve Equation t Generators 80475k1 [0,1,1,-1458,59369] 1 [-86:2171:8]
80475l (1 curve)	1	3- 5- 29- 37-	-2 3- 5-  1  2  3  6 -1
Curve Equation t Generators 80475l1 [0,1,1,-33959208,76186771994] 1 [7809:535963:1]

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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