Cremona's table of elliptic curves

55744 = 2⁶ · 13 · 67

Class	r	Atkin-Lehner	Eigenvalues
55744a (1 curve)	1	2+ 13+ 67+	2+  0  4 -2  0 13+ -5 -3
Curve Equation t Generators 55744a1 [0,0,0,22,-10] 1 [5:15:1]
55744b (1 curve)	1	2+ 13+ 67+	2+ -3  1  1  0 13+  1  0
Curve Equation t Generators 55744b1 [0,0,0,-20812,-1155632] 1 [2082:26599:8]
55744c (1 curve)	0	2+ 13+ 67-	2+  0  4  2  0 13+ -5  3
Curve Equation t 55744c1 [0,0,0,22,10] 1
55744d (1 curve)	0	2+ 13+ 67-	2+  1 -3 -3  4 13+  1  8
Curve Equation t 55744d1 [0,1,0,-2497,-59489] 1
55744e (1 curve)	0	2+ 13+ 67-	2+  3  1 -1  0 13+  1  0
Curve Equation t 55744e1 [0,0,0,-20812,1155632] 1
55744f (1 curve)	2	2+ 13- 67+	2+ -2 -2  2  0 13- -5  5
Curve Equation t Generators 55744f1 [0,1,0,-169,945] 1 [-8:43:1]&[8:13:1]
55744g (1 curve)	1	2+ 13- 67-	2+  0 -2  4  2 13-  3 -3
Curve Equation t Generators 55744g1 [0,0,0,-6176,191904] 1 [418:871:8]
55744h (1 curve)	2	2- 13+ 67+	2- -1 -3  3 -4 13+  1 -8
Curve Equation t Generators 55744h1 [0,-1,0,-2497,59489] 1 [37:128:1]&[-5:268:1]
55744i (1 curve)	1	2- 13- 67+	2-  0 -2 -4 -2 13-  3  3
Curve Equation t Generators 55744i1 [0,0,0,-6176,-191904] 1 [1714:23075:8]
55744j (1 curve)	2	2- 13- 67-	2-  2 -2 -2  0 13- -5 -5
Curve Equation t Generators 55744j1 [0,-1,0,-169,-945] 1 [18:39:1]&[378:2457:8]

Data from Elliptic Curve Data by J. E. Cremona.
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