Cremona's table of elliptic curves

2678 = 2 · 13 · 103

Class	r	Atkin-Lehner	Eigenvalues
2678a (1 curve)	0	2+ 13+ 103-	2+  2 -2  3 -3 13+  5  8
Curve Equation t 2678a1 [1,1,0,-2882796,-1879512496] 1
2678b (1 curve)	2	2+ 13+ 103-	2+ -2 -2 -1 -3 13+ -3 -4
Curve Equation t Generators 2678b1 [1,0,1,-107,414] 1 [2:13:1]&[4:5:1]
2678c (1 curve)	0	2+ 13- 103+	2+  3  1  5 -4 13- -3  4
Curve Equation t 2678c1 [1,-1,0,26,-4] 1
2678d (1 curve)	1	2+ 13- 103-	2+ -1  3  0 -2 13- -1 -1
Curve Equation t Generators 2678d1 [1,1,0,-6,-8] 1 [-2:2:1]
2678e (1 curve)	1	2+ 13- 103-	2+ -1 -3 -3  4 13-  5 -4
Curve Equation t Generators 2678e1 [1,1,0,-3509,85549] 1 [87:626:1]
2678f (2 curves)	1	2+ 13- 103-	2+  2  0  0 -2 13-  2 -4
Curve Equation t Generators 2678f1 [1,1,0,-461480,-120858304] 2 [59495452683:7200985349543:4019679] 2678f2 [1,1,0,-7383720,-7725631168] 2 [8523801303899136365247:1017553372463320146205547:572074319411975619]
2678g (1 curve)	1	2+ 13- 103-	2+  2  0 -5  3 13- -3  6
Curve Equation t Generators 2678g1 [1,1,0,-25,39] 1 [3:0:1]
2678h (3 curves)	1	2+ 13- 103-	2+ -2  0 -1  3 13- -3  2
Curve Equation t Generators 2678h1 [1,0,1,-31246,2123232] 3 [305690:305549:2744] 2678h2 [1,0,1,-31421,2098200] 3 [114:-25:1] 2678h3 [1,0,1,-305916,-64308166] 1 [5238:29567:8]
2678i (1 curve)	2	2- 13+ 103+	2- -2 -4 -3 -5 13+ -3 -2
Curve Equation t Generators 2678i1 [1,0,0,-35,1] 1 [-6:5:1]&[-2:9:1]
2678j (1 curve)	0	2- 13+ 103+	2-  3 -1  4  4 13+  3 -3
Curve Equation t 2678j1 [1,-1,1,-153,73] 1
2678k (1 curve)	1	2- 13+ 103-	2-  1  1 -4  0 13+  3 -7
Curve Equation t Generators 2678k1 [1,0,0,-85,-287] 1 [-6:7:1]
2678l (1 curve)	1	2- 13- 103+	2-  0 -2 -1  5 13- -3 -2
Curve Equation t Generators 2678l1 [1,-1,1,-241,1225] 1 [13:6:1]
2678m (1 curve)	1	2- 13- 103+	2-  1 -1  0 -6 13- -1  1
Curve Equation t Generators 2678m1 [1,0,0,-6186,-187228] 1 [-44:38:1]
2678n (1 curve)	1	2- 13- 103+	2- -2  2 -3 -3 13-  5  4
Curve Equation t Generators 2678n1 [1,0,0,-102,388] 1 [6:-2:1]

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

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