Cremona's table of elliptic curves

1056 = 2⁵ · 3 · 11

Class	r	Atkin-Lehner	Eigenvalues
1056a (2 curves)	1	2+ 3+ 11+	2+ 3+  0 -2 11+  4 -2  0
Curve Equation t Generators 1056a1 [0,-1,0,-98,408] 2 [4:8:1] 1056a2 [0,-1,0,-88,484] 2 [0:22:1]
1056b (2 curves)	1	2+ 3+ 11+	2+ 3+ -2  2 11+ -2  0  2
Curve Equation t Generators 1056b1 [0,-1,0,6,-36] 2 [4:6:1] 1056b2 [0,-1,0,-129,-495] 2 [-7:4:1]
1056c (4 curves)	0	2+ 3+ 11-	2+ 3+ -2  0 11- -6  2  4
Curve Equation t 1056c1 [0,-1,0,-34,-56] 4 1056c2 [0,-1,0,-529,-4511] 2 1056c3 [0,-1,0,-144,648] 2 1056c4 [0,-1,0,56,-380] 4
1056d (4 curves)	0	2+ 3- 11+	2+ 3-  2  4 11+ -2  2  4
Curve Equation t 1056d1 [0,1,0,-19602,1049760] 4 1056d2 [0,1,0,-20817,911007] 2 1056d3 [0,1,0,-313632,67500540] 2 1056d4 [0,1,0,-18392,1186248] 4
1056e (2 curves)	0	2+ 3- 11+	2+ 3- -4 -2 11+  4  2  4
Curve Equation t 1056e1 [0,1,0,-10,-16] 2 1056e2 [0,1,0,0,-36] 2
1056f (2 curves)	1	2+ 3- 11-	2+ 3- -2 -2 11- -2  0 -2
Curve Equation t Generators 1056f1 [0,1,0,6,36] 2 [0:6:1] 1056f2 [0,1,0,-129,495] 2 [27:-132:1]
1056g (4 curves)	1	2- 3+ 11-	2- 3+  2 -4 11- -2  2 -4
Curve Equation t Generators 1056g1 [0,-1,0,-19602,-1049760] 4 [24219:3768930:1] 1056g2 [0,-1,0,-313632,-67500540] 2 [653979:101750770:27] 1056g3 [0,-1,0,-20817,-911007] 4 [-112:55:1] 1056g4 [0,-1,0,-18392,-1186248] 2 [4413270:10381877:27000]
1056h (2 curves)	1	2- 3+ 11-	2- 3+ -4  2 11-  4  2 -4
Curve Equation t Generators 1056h1 [0,-1,0,-10,16] 2 [0:4:1] 1056h2 [0,-1,0,0,36] 2 [0:6:1]
1056i (4 curves)	1	2- 3- 11+	2- 3- -2  0 11+ -6  2 -4
Curve Equation t Generators 1056i1 [0,1,0,-34,56] 4 [-4:12:1] 1056i2 [0,1,0,-144,-648] 2 [-6:6:1] 1056i3 [0,1,0,-529,4511] 4 [-5:84:1] 1056i4 [0,1,0,56,380] 2 [-1:18:1]
1056j (2 curves)	0	2- 3- 11-	2- 3-  0  2 11-  4 -2  0
Curve Equation t 1056j1 [0,1,0,-98,-408] 2 1056j2 [0,1,0,-88,-484] 2

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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