Cremona's table of elliptic curves

12896 = 2⁵ · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
12896a (1 curve)	2	2+ 13- 31+	2+  1 -3  1 -6 13- -5 -8
Curve Equation t Generators 12896a1 [0,1,0,-312,2024] 1 [-14:62:1]&[10:2:1]
12896b (1 curve)	1	2+ 13- 31-	2+ -1 -3 -1  0 13- -1 -4
Curve Equation t Generators 12896b1 [0,-1,0,8,-124] 1 [16:62:1]
12896c (1 curve)	1	2+ 13- 31-	2+  2  0 -4  3 13-  2 -4
Curve Equation t Generators 12896c1 [0,-1,0,-12253,-518091] 1 [255:3588:1]
12896d (1 curve)	1	2- 13- 31+	2-  1 -3  1  0 13- -1  4
Curve Equation t Generators 12896d1 [0,1,0,8,124] 1 [15:62:1]
12896e (1 curve)	1	2- 13- 31+	2- -2  0  4 -3 13-  2  4
Curve Equation t Generators 12896e1 [0,1,0,-12253,518091] 1 [5:676:1]
12896f (1 curve)	1	2- 13- 31+	2- -2  0 -4  1 13-  2 -4
Curve Equation t Generators 12896f1 [0,1,0,-13,-69] 1 [5:4:1]
12896g (1 curve)	0	2- 13- 31-	2- -1 -3 -1  6 13- -5  8
Curve Equation t 12896g1 [0,-1,0,-312,-2024] 1
12896h (1 curve)	0	2- 13- 31-	2-  2  0  4 -1 13-  2  4
Curve Equation t 12896h1 [0,-1,0,-13,69] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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