Cremona's table of elliptic curves

2548 = 2² · 7² · 13

Class	r	Atkin-Lehner	Eigenvalues
2548a (1 curve)	2	2- 7+ 13+	2- -3 -3 7+ -5 13+ -1 -7
Curve Equation t Generators 2548a1 [0,0,0,-49,49] 1 [-7:7:1]&[-5:13:1]
2548b (1 curve)	1	2- 7+ 13-	2-  1  1 7+ -1 13- -5 -7
Curve Equation t Generators 2548b1 [0,1,0,-4230,-107143] 1 [-38:13:1]
2548c (2 curves)	1	2- 7+ 13-	2-  1 -3 7+  3 13-  3  5
Curve Equation t Generators 2548c1 [0,1,0,-702,6929] 3 [-26:91:1] 2548c2 [0,1,0,-1682,-17179] 1 [-19:91:1]
2548d (2 curves)	1	2- 7+ 13-	2- -2  0 7+ -3 13-  3  5
Curve Equation t Generators 2548d1 [0,1,0,572,-3900] 3 [11:62:1] 2548d2 [0,1,0,-13148,-591116] 1 [163:1274:1]
2548e (1 curve)	1	2- 7- 13+	2- -1 -1 7- -1 13+  5  7
Curve Equation t Generators 2548e1 [0,-1,0,-86,337] 1 [2:13:1]
2548f (2 curves)	1	2- 7- 13+	2- -1  3 7-  3 13+ -3 -5
Curve Equation t Generators 2548f1 [0,-1,0,-34414,-2445463] 1 [-106:13:1] 2548f2 [0,-1,0,-82434,5727541] 1 [2820:94471:64]
2548g (2 curves)	1	2- 7- 13+	2-  2  0 7- -3 13+ -3 -5
Curve Equation t Generators 2548g1 [0,-1,0,12,8] 1 [2:6:1] 2548g2 [0,-1,0,-268,1800] 1 [9:6:1]
2548h (1 curve)	1	2- 7- 13+	2-  2 -1 7- -4 13+  2  1
Curve Equation t Generators 2548h1 [0,-1,0,-261,-2911] 1 [47:294:1]
2548i (2 curves)	0	2- 7- 13-	2-  0 -2 7- -2 13- -6  6
Curve Equation t 2548i1 [0,0,0,-196,1029] 2 2548i2 [0,0,0,49,3430] 2
2548j (1 curve)	0	2- 7- 13-	2-  0  3 7- -2 13-  4  1
Curve Equation t 2548j1 [0,0,0,-28616,-1867292] 1
2548k (1 curve)	0	2- 7- 13-	2-  3  3 7- -5 13-  1  7
Curve Equation t 2548k1 [0,0,0,-2401,-16807] 1

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

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