Cremona's table of elliptic curves

51040 = 2⁵ · 5 · 11 · 29

Class	r	Atkin-Lehner	Eigenvalues
51040a (2 curves)	1	2+ 5+ 11- 29-	2+  0 5+  4 11-  4 -6 -4
Curve Equation t Generators 51040a1 [0,0,0,-113,-372] 2 [-4:4:1] 51040a2 [0,0,0,-1708,-27168] 2 [296:5040:1]
51040b (2 curves)	0	2+ 5- 11+ 29+	2+  0 5-  2 11+  2 -4 -4
Curve Equation t 51040b1 [0,0,0,-797,-8656] 2 51040b2 [0,0,0,-652,-11904] 2
51040c (1 curve)	0	2+ 5- 11+ 29+	2+  1 5-  0 11+  1  8 -3
Curve Equation t 51040c1 [0,1,0,139315,4293275] 1
51040d (1 curve)	0	2+ 5- 11+ 29+	2+  2 5- -1 11+ -6 -6  4
Curve Equation t 51040d1 [0,-1,0,1049480,393574632] 1
51040e (1 curve)	1	2+ 5- 11+ 29-	2+  1 5-  0 11+  1  0 -3
Curve Equation t Generators 51040e1 [0,1,0,-45,155] 1 [13:44:1]
51040f (2 curves)	1	2+ 5- 11- 29+	2+  0 5- -2 11-  2 -4  4
Curve Equation t Generators 51040f1 [0,0,0,-797,8656] 2 [25:66:1] 51040f2 [0,0,0,-652,11904] 2 [-10:132:1]
51040g (1 curve)	1	2+ 5- 11- 29+	2+ -1 5-  0 11-  1  8  3
Curve Equation t Generators 51040g1 [0,-1,0,139315,-4293275] 1 [195:-5500:1]
51040h (1 curve)	1	2+ 5- 11- 29+	2+ -2 5-  1 11- -6 -6 -4
Curve Equation t Generators 51040h1 [0,1,0,1049480,-393574632] 1 [806:-31250:1]
51040i (1 curve)	0	2+ 5- 11- 29-	2+ -1 5-  0 11-  1  0  3
Curve Equation t 51040i1 [0,-1,0,-45,-155] 1
51040j (1 curve)	0	2- 5+ 11+ 29+	2-  2 5+  1 11+  6  2  8
Curve Equation t 51040j1 [0,-1,0,144,-26344] 1
51040k (2 curves)	1	2- 5+ 11+ 29-	2-  0 5+ -4 11+  4 -6  4
Curve Equation t Generators 51040k1 [0,0,0,-113,372] 2 [-1:22:1] 51040k2 [0,0,0,-1708,27168] 2 [28:36:1]
51040l (1 curve)	1	2- 5+ 11- 29+	2- -2 5+ -1 11-  6  2 -8
Curve Equation t Generators 51040l1 [0,1,0,144,26344] 1 [30:242:1]

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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