Cremona's table of elliptic curves

12584 = 2³ · 11² · 13

Class	r	Atkin-Lehner	Eigenvalues
12584a (1 curve)	0	2+ 11- 13+	2+ -3  0  0 11- 13+  7  4
Curve Equation t 12584a1 [0,0,0,-6655,-204974] 1
12584b (1 curve)	1	2+ 11- 13-	2+  1 -1  2 11- 13- -4  2
Curve Equation t Generators 12584b1 [0,1,0,-348641,-98785117] 1 [2603:128986:1]
12584c (1 curve)	1	2+ 11- 13-	2+  1 -1 -5 11- 13-  3  2
Curve Equation t Generators 12584c1 [0,1,0,-1976,34736] 1 [-37:242:1]
12584d (1 curve)	1	2+ 11- 13-	2+  1  2  2 11- 13- -7  2
Curve Equation t Generators 12584d1 [0,1,0,-7,-2] 1 [-3:1:1]
12584e (1 curve)	1	2+ 11- 13-	2+  1 -4 -2 11- 13-  3  0
Curve Equation t Generators 12584e1 [0,1,0,-4880,-104656] 1 [-28:104:1]
12584f (1 curve)	1	2+ 11- 13-	2+ -1  0 -4 11- 13-  1 -4
Curve Equation t Generators 12584f1 [0,-1,0,-403,-2704] 1 [-13:13:1]
12584g (1 curve)	1	2+ 11- 13-	2+  2  3 -1 11- 13- -2 -4
Curve Equation t Generators 12584g1 [0,-1,0,-17464,-883188] 1 [2935917:69778764:4913]
12584h (1 curve)	1	2- 11- 13+	2-  1 -1  2 11- 13+  0  6
Curve Equation t Generators 12584h1 [0,1,0,-29201,-1930909] 1 [197:26:1]
12584i (1 curve)	1	2- 11- 13+	2-  1  2 -2 11- 13+  7 -2
Curve Equation t Generators 12584i1 [0,1,0,-887,-838] 1 [-1:7:1]
12584j (1 curve)	1	2- 11- 13+	2-  1 -4  2 11- 13+ -3  0
Curve Equation t Generators 12584j1 [0,1,0,-40,64] 1 [0:8:1]
12584k (1 curve)	1	2- 11- 13+	2- -1  0  4 11- 13+ -1  4
Curve Equation t Generators 12584k1 [0,-1,0,-48803,3794188] 1 [81:605:1]
12584l (1 curve)	0	2- 11- 13-	2-  3  3  3 11- 13-  5 -4
Curve Equation t 12584l1 [0,0,0,3509,-82522] 1
12584m (1 curve)	2	2- 11- 13-	2- -3  0  0 11- 13- -7 -4
Curve Equation t Generators 12584m1 [0,0,0,-55,154] 1 [-2:16:1]&[1:10:1]

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

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