Cremona's table of elliptic curves

74048 = 2⁶ · 13 · 89

Class	r	Atkin-Lehner	Eigenvalues
74048a (1 curve)	1	2+ 13+ 89+	2+ -2 -2 -1 -4 13+  3  5
Curve Equation t Generators 74048a1 [0,1,0,-209,-1223] 1 [-8:1:1]
74048b (1 curve)	1	2+ 13+ 89+	2+ -3 -3  0  2 13+  7 -5
Curve Equation t Generators 74048b1 [0,0,0,-4684,-123536] 1 [110:832:1]
74048c (1 curve)	0	2+ 13+ 89-	2+  1  1  3  0 13+ -7 -4
Curve Equation t 74048c1 [0,1,0,415,-145153] 1
74048d (1 curve)	0	2+ 13+ 89-	2+  2  0  1 -2 13+  7  7
Curve Equation t 74048d1 [0,-1,0,-17733,789725] 1
74048e (1 curve)	0	2+ 13- 89+	2+ -1  1  0  2 13-  7 -3
Curve Equation t 74048e1 [0,-1,0,-66625,13696193] 1
74048f (1 curve)	0	2+ 13- 89+	2+ -1 -3  1 -2 13-  5 -2
Curve Equation t 74048f1 [0,-1,0,28543,-726911] 1
74048g (1 curve)	2	2+ 13- 89+	2+ -1 -3 -4 -2 13- -5 -1
Curve Equation t Generators 74048g1 [0,-1,0,383,39041] 1 [-29:52:1]&[49:416:1]
74048h (1 curve)	0	2+ 13- 89+	2+  2  0  1 -2 13- -1 -5
Curve Equation t 74048h1 [0,-1,0,-13,-9] 1
74048i (1 curve)	0	2+ 13- 89+	2+  2  4  3  2 13-  7 -3
Curve Equation t 74048i1 [0,-1,0,-27781,-1773027] 1
74048j (1 curve)	0	2+ 13- 89+	2+ -3  1  4  2 13-  3 -3
Curve Equation t 74048j1 [0,0,0,-15163372,-61613766992] 1
74048k (1 curve)	1	2+ 13- 89-	2+  0 -2  1  2 13- -5  7
Curve Equation t Generators 74048k1 [0,0,0,-386,-2914] 1 [-11:1:1]
74048l (1 curve)	1	2+ 13- 89-	2+  0 -2 -1 -2 13- -5 -7
Curve Equation t Generators 74048l1 [0,0,0,-386,2914] 1 [9:-13:1]
74048m (1 curve)	1	2+ 13- 89-	2+  2  2  3  0 13-  3 -3
Curve Equation t Generators 74048m1 [0,-1,0,-117,-403] 1 [-128196:124991:19683]
74048n (2 curves)	1	2+ 13- 89-	2+  2 -2 -4 -2 13-  2  4
Curve Equation t Generators 74048n1 [0,-1,0,-384,-2806] 2 [23662239:191001590:328509] 74048n2 [0,-1,0,-6169,-184455] 2 [75586445775030:238374742803355:790426818936]
74048o (2 curves)	1	2+ 13- 89-	2+ -2 -2  4  2 13-  2 -4
Curve Equation t Generators 74048o1 [0,1,0,-384,2806] 2 [29:130:1] 74048o2 [0,1,0,-6169,184455] 2 [410:595:8]
74048p (1 curve)	0	2- 13+ 89+	2-  1  1 -4  6 13+ -5 -3
Curve Equation t 74048p1 [0,1,0,4100,24766] 1
74048q (1 curve)	0	2- 13+ 89+	2- -1  1  4 -6 13+ -5  3
Curve Equation t 74048q1 [0,-1,0,4100,-24766] 1
74048r (1 curve)	0	2- 13+ 89+	2-  2 -2  1  4 13+  3 -5
Curve Equation t 74048r1 [0,-1,0,-209,1223] 1
74048s (1 curve)	0	2- 13+ 89+	2-  3 -3  0 -2 13+  7  5
Curve Equation t 74048s1 [0,0,0,-4684,123536] 1
74048t (1 curve)	1	2- 13+ 89-	2- -1  1 -3  0 13+ -7  4
Curve Equation t Generators 74048t1 [0,-1,0,415,145153] 1 [-21:356:1]
74048u (1 curve)	1	2- 13+ 89-	2- -2  0 -1  2 13+  7 -7
Curve Equation t Generators 74048u1 [0,1,0,-17733,-789725] 1 [-47322:221201:729]
74048v (1 curve)	1	2- 13- 89+	2-  1  1  0 -2 13-  7  3
Curve Equation t Generators 74048v1 [0,1,0,-66625,-13696193] 1 [952400229:155040714764:35937]
74048w (1 curve)	1	2- 13- 89+	2-  1 -3 -1  2 13-  5  2
Curve Equation t Generators 74048w1 [0,1,0,28543,726911] 1 [-6201:506944:729]
74048x (1 curve)	1	2- 13- 89+	2-  1 -3  4  2 13- -5  1
Curve Equation t Generators 74048x1 [0,1,0,383,-39041] 1 [81:728:1]
74048y (1 curve)	1	2- 13- 89+	2- -2  0 -1  2 13- -1  5
Curve Equation t Generators 74048y1 [0,1,0,-13,9] 1 [0:3:1]
74048z (1 curve)	1	2- 13- 89+	2- -2  4 -3 -2 13-  7  3
Curve Equation t Generators 74048z1 [0,1,0,-27781,1773027] 1 [2586:55:27]
74048ba (1 curve)	1	2- 13- 89+	2-  3  1 -4 -2 13-  3  3
Curve Equation t Generators 74048ba1 [0,0,0,-15163372,61613766992] 1 [185625828588:185841225325808:185193]
74048bb (1 curve)	0	2- 13- 89-	2- -2  2 -3  0 13-  3  3
Curve Equation t 74048bb1 [0,1,0,-117,403] 1

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