Cremona's table of elliptic curves

12272 = 2⁴ · 13 · 59

Class	r	Atkin-Lehner	Eigenvalues
12272a (1 curve)	1	2+ 13+ 59+	2+ -1  1 -1 -2 13+ -6  5
Curve Equation t Generators 12272a1 [0,-1,0,-60,-176] 1 [16:52:1]
12272b (1 curve)	2	2+ 13+ 59-	2+ -1 -1  1 -4 13+ -6 -7
Curve Equation t Generators 12272b1 [0,-1,0,-536,10432] 1 [-28:52:1]&[-18:118:1]
12272c (1 curve)	0	2+ 13- 59+	2+  3 -3 -1 -6 13- -6  5
Curve Equation t 12272c1 [0,0,0,-237199,-44519074] 1
12272d (1 curve)	1	2+ 13- 59-	2+  1  3 -3  2 13- -7 -2
Curve Equation t Generators 12272d1 [0,1,0,-3424,75988] 1 [6:236:1]
12272e (1 curve)	1	2+ 13- 59-	2+  1 -3  1  2 13- -2  1
Curve Equation t Generators 12272e1 [0,1,0,208,-1564] 1 [8:26:1]
12272f (1 curve)	1	2+ 13- 59-	2+  1 -3 -3  2 13-  2  7
Curve Equation t Generators 12272f1 [0,1,0,13,-4] 1 [8:26:1]
12272g (1 curve)	1	2+ 13- 59-	2+ -1  3 -3  0 13-  2 -1
Curve Equation t Generators 12272g1 [0,-1,0,-579,5566] 1 [10:26:1]
12272h (1 curve)	1	2- 13+ 59-	2-  1 -3 -5  2 13+  1 -6
Curve Equation t Generators 12272h1 [0,1,0,3288,-62284] 1 [238:3776:1]
12272i (1 curve)	0	2- 13- 59-	2-  3 -1  5  0 13- -6  5
Curve Equation t 12272i1 [0,0,0,77,-2446] 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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