Cremona's table of elliptic curves

112749 = 3 · 7² · 13 · 59

Class	r	Atkin-Lehner	Eigenvalues
112749a (1 curve)	1	3+ 7+ 13+ 59+	1 3+ -1 7+  0 13+ -7  5
Curve Equation t Generators 112749a1 [1,1,0,-13598,-1486869] 1 [10046:1001879:1]
112749b (2 curves)	0	3+ 7- 13+ 59+	1 3+  2 7-  0 13+  2  4
Curve Equation t 112749b1 [1,1,0,-3163024,-2405612285] 2 112749b2 [1,1,0,-52145139,-144953363358] 2
112749c (1 curve)	1	3+ 7- 13+ 59-	0 3+ -3 7-  2 13+ -6  3
Curve Equation t Generators 112749c1 [0,-1,1,-4528057,3713176725] 1 [1699:-30356:1]
112749d (1 curve)	1	3+ 7- 13+ 59-	1 3+  1 7-  1 13+  0  5
Curve Equation t Generators 112749d1 [1,1,0,-5317,260422] 1 [-162:4883:8]
112749e (1 curve)	1	3+ 7- 13+ 59-	1 3+  4 7-  4 13+ -6 -1
Curve Equation t Generators 112749e1 [1,1,0,-1138,13945] 1 [-130:1415:8]
112749f (1 curve)	1	3+ 7- 13+ 59-	-2 3+  1 7- -2 13+  0  2
Curve Equation t Generators 112749f1 [0,-1,1,-179650,-28661676] 1 [-26955:7998:125]
112749g (1 curve)	1	3+ 7- 13+ 59-	-2 3+  1 7-  4 13+  6  5
Curve Equation t Generators 112749g1 [0,-1,1,-536370,175132460] 1 [-345:17860:1]
112749h (1 curve)	1	3+ 7- 13+ 59-	-2 3+  3 7- -4 13+  0  5
Curve Equation t Generators 112749h1 [0,-1,1,-747854,-249179512] 1 [227320:8293163:125]
112749i (1 curve)	1	3+ 7- 13- 59+	0 3+ -1 7- -4 13-  6 -4
Curve Equation t Generators 112749i1 [0,-1,1,-2711,-49057] 1 [-23:24:1]
112749j (1 curve)	1	3+ 7- 13- 59+	-1 3+ -1 7-  1 13-  6  5
Curve Equation t Generators 112749j1 [1,1,1,-5437776,-5783340690] 1 [76350:994070:27]
112749k (1 curve)	1	3+ 7- 13- 59+	2 3+ -1 7-  0 13- -6 -1
Curve Equation t Generators 112749k1 [0,-1,1,-37011811426,-3728520984710565] 1 [28333514:53240932175:8]
112749l (1 curve)	0	3+ 7- 13- 59-	-1 3+  2 7-  4 13-  3  5
Curve Equation t 112749l1 [1,1,1,124508,-76824112] 1
112749m (1 curve)	0	3+ 7- 13- 59-	-2 3+  3 7-  0 13-  0 -6
Curve Equation t 112749m1 [0,-1,1,-4524,14888] 1
112749n (1 curve)	1	3- 7+ 13- 59+	1 3- -4 7+  4 13-  6  1
Curve Equation t Generators 112749n1 [1,0,1,-55788,-4950473] 1 [-139:420:1]
112749o (2 curves)	1	3- 7- 13+ 59+	-1 3-  0 7- -4 13+ -6  6
Curve Equation t Generators 112749o1 [1,0,0,342,-12069] 2 [27:117:1] 112749o2 [1,0,0,-6273,-180090] 2 [-51:114:1]
112749p (1 curve)	0	3- 7- 13+ 59-	0 3-  1 7- -2 13+  4  5
Curve Equation t 112749p1 [0,1,1,-998195,-384316033] 1
112749q (1 curve)	0	3- 7- 13- 59+	0 3-  3 7-  2 13-  6 -3
Curve Equation t 112749q1 [0,1,1,-92409,-10851991] 1
112749r (1 curve)	2	3- 7- 13- 59+	-2 3- -3 7- -4 13-  0 -5
Curve Equation t Generators 112749r1 [0,1,1,-15262,722110] 1 [-124:850:1]&[200:2389:1]
112749s (1 curve)	1	3- 7- 13- 59-	1 3-  1 7-  0 13-  7 -5
Curve Equation t Generators 112749s1 [1,0,1,-278,4295] 1 [-9:82:1]
112749t (1 curve)	1	3- 7- 13- 59-	1 3-  1 7-  3 13- -2  1
Curve Equation t Generators 112749t1 [1,0,1,-1398,-20975] 1 [62247:2957422:27]
112749u (2 curves)	1	3- 7- 13- 59-	1 3- -2 7-  0 13- -2 -4
Curve Equation t Generators 112749u1 [1,0,1,-64552,7004225] 2 [-10:21295:8] 112749u2 [1,0,1,-1064187,422452531] 2 [587:57:1]

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