Cremona's table of elliptic curves

25688 = 2³ · 13² · 19

Class	r	Atkin-Lehner	Eigenvalues
25688a (1 curve)	1	2+ 13+ 19+	2+  0 -1 -4  0 13+ -5 19+
Curve Equation t Generators 25688a1 [0,0,0,-18083,940654] 1 [159:1444:1]
25688b (1 curve)	1	2+ 13+ 19+	2+  2  0  2  4 13+ -3 19+
Curve Equation t Generators 25688b1 [0,-1,0,-1408,-20931] 1 [618:4563:8]
25688c (1 curve)	2	2+ 13- 19+	2+  1 -1 -1 -2 13- -7 19+
Curve Equation t Generators 25688c1 [0,1,0,-27096,-4602064] 1 [1915:83486:1]&[1754:1691:8]
25688d (2 curves)	0	2+ 13- 19+	2+ -2  2 -2  0 13- -6 19+
Curve Equation t 25688d1 [0,1,0,48,-272] 2 25688d2 [0,1,0,-472,-3600] 2
25688e (1 curve)	2	2+ 13- 19+	2+ -2 -4 -4 -2 13- -7 19+
Curve Equation t Generators 25688e1 [0,1,0,-160,729] 1 [4:-13:1]&[0:27:1]
25688f (1 curve)	0	2- 13+ 19+	2-  1  0 -3 -2 13+ -5 19+
Curve Equation t 25688f1 [0,1,0,-1408,-29600] 1
25688g (1 curve)	1	2- 13+ 19-	2-  0  1  4  0 13+ -5 19-
Curve Equation t Generators 25688g1 [0,0,0,-3056027,2066616838] 1 [699:16492:1]
25688h (1 curve)	1	2- 13+ 19-	2-  0 -2 -2  6 13+  1 19-
Curve Equation t Generators 25688h1 [0,0,0,169,6591] 1 [26:169:1]
25688i (1 curve)	1	2- 13+ 19-	2- -2  1  3  3 13+  5 19-
Curve Equation t Generators 25688i1 [0,1,0,-225,7411] 1 [30:169:1]
25688j (1 curve)	0	2- 13- 19-	2-  1  1  1  2 13- -7 19-
Curve Equation t 25688j1 [0,1,0,-160,-2144] 1
25688k (2 curves)	0	2- 13- 19-	2- -2 -2  2  0 13- -6 19-
Curve Equation t 25688k1 [0,1,0,8056,-629888] 2 25688k2 [0,1,0,-79824,-7589984] 2
25688l (1 curve)	0	2- 13- 19-	2- -2  4  4  2 13- -7 19-
Curve Equation t 25688l1 [0,1,0,-27096,1709917] 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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