Cremona's table of elliptic curves

12688 = 2⁴ · 13 · 61

Class	r	Atkin-Lehner	Eigenvalues
12688a (2 curves)	0	2- 13+ 61+	2-  0  2  4 -4 13+ -6  2
Curve Equation t 12688a1 [0,0,0,-259,1602] 2 12688a2 [0,0,0,-179,2610] 2
12688b (2 curves)	0	2- 13+ 61+	2-  0  2 -4 -4 13+ -6 -6
Curve Equation t 12688b1 [0,0,0,-982219,-374677638] 2 12688b2 [0,0,0,-961739,-391049350] 2
12688c (1 curve)	0	2- 13+ 61+	2-  1  3 -1 -2 13+ -5  4
Curve Equation t 12688c1 [0,1,0,-1784,-42796] 1
12688d (2 curves)	1	2- 13+ 61-	2-  0  2 -2  6 13+ -2 -2
Curve Equation t Generators 12688d1 [0,0,0,-122524,-16501677] 2 [10170207230214:475922543520675:4524874264] 12688d2 [0,0,0,-103919,-21685030] 2 [11681481585737113331520850:547353947704920195981591273:5200781528553462125000]
12688e (1 curve)	1	2- 13+ 61-	2- -3  3  3 -2 13+ -5 -8
Curve Equation t Generators 12688e1 [0,0,0,989,-3422] 1 [57:488:1]
12688f (2 curves)	1	2- 13- 61+	2-  0 -2 -4 -4 13- -6  4
Curve Equation t Generators 12688f1 [0,0,0,-16,15] 2 [-3:6:1] 12688f2 [0,0,0,49,106] 2 [2:87:8]
12688g (2 curves)	0	2- 13- 61-	2-  1  1 -3 -2 13-  3  0
Curve Equation t 12688g1 [0,1,0,256080,-661017004] 1 12688g2 [0,1,0,-55887280,169315451476] 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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