Cremona's table of elliptic curves

4046 = 2 · 7 · 17²

Class	r	Atkin-Lehner	Eigenvalues
4046a (1 curve)	1	2+ 7+ 17+	2+  1  2 7+ -2  2 17+ -3
Curve Equation t Generators 4046a1 [1,0,1,-15,18] 1 [3:0:1]
4046b (6 curves)	1	2+ 7+ 17+	2+  2  0 7+  0 -4 17+  2
Curve Equation t Generators 4046b1 [1,1,0,-150,1376] 2 [2:32:1] 4046b2 [1,1,0,-3040,63222] 2 [69:399:1] 4046b3 [1,1,0,1295,-29547] 2 [4626:312375:1] 4046b4 [1,1,0,-10265,-332419] 2 [926:1271:8] 4046b5 [1,1,0,-49280,-4243456] 2 [699893032623720:5529054772038517:2414733175296] 4046b6 [1,1,0,-789120,-270141952] 2 [20400406:332113939:17576]
4046c (2 curves)	1	2+ 7+ 17+	2+ -2 -4 7+  4 -4 17+ -6
Curve Equation t Generators 4046c1 [1,0,1,9097,-64038] 2 [39:572:1] 4046c2 [1,0,1,-37143,-526438] 2 [-44:1033:1]
4046d (1 curve)	2	2+ 7+ 17-	2+ -3 -2 7+ -2 -6 17-  7
Curve Equation t Generators 4046d1 [1,-1,0,-343,2461] 1 [-21:19:1]&[-2:57:1]
4046e (2 curves)	0	2+ 7- 17+	2+  0  2 7-  2  0 17+ -2
Curve Equation t 4046e1 [1,-1,0,524,2172] 2 4046e2 [1,-1,0,-2366,20090] 2
4046f (1 curve)	0	2+ 7- 17+	2+  3  2 7-  2 -6 17+  7
Curve Equation t 4046f1 [1,-1,0,-99181,11694245] 1
4046g (1 curve)	1	2+ 7- 17-	2+ -1 -2 7-  2  2 17- -3
Curve Equation t Generators 4046g1 [1,1,0,-4196,93856] 1 [120:1096:1]
4046h (2 curves)	0	2- 7+ 17+	2-  0  0 7+  0  2 17+ -4
Curve Equation t 4046h1 [1,-1,1,-219550,37459245] 2 4046h2 [1,-1,1,173490,156628973] 2
4046i (4 curves)	0	2- 7+ 17+	2-  0 -2 7+  0 -2 17+  4
Curve Equation t 4046i1 [1,-1,1,-5401,151657] 4 4046i2 [1,-1,1,-11181,-225199] 4 4046i3 [1,-1,1,-152791,-22939443] 2 4046i4 [1,-1,1,37949,-1699099] 2
4046j (2 curves)	0	2- 7+ 17+	2- -1 -3 7+  0  5 17+ -4
Curve Equation t 4046j1 [1,1,1,-586387,172624905] 1 4046j2 [1,1,1,248823,611945365] 1
4046k (1 curve)	0	2- 7+ 17+	2- -1  4 7+  0 -2 17+  3
Curve Equation t 4046k1 [1,1,1,-1196,-16419] 1
4046l (2 curves)	0	2- 7+ 17+	2-  2  4 7+  6 -2 17+  0
Curve Equation t 4046l1 [1,1,1,-17346,95951] 2 4046l2 [1,1,1,-202306,34868431] 2
4046m (1 curve)	0	2- 7+ 17+	2-  3  1 7+  0  1 17+  4
Curve Equation t 4046m1 [1,-1,1,-12,-17] 1
4046n (1 curve)	1	2- 7+ 17-	2- -1  0 7+  4 -2 17- -3
Curve Equation t Generators 4046n1 [1,1,1,-55783,-4302051] 1 [-169:662:1]
4046o (2 curves)	1	2- 7- 17+	2-  0  0 7-  0  2 17+ -4
Curve Equation t Generators 4046o1 [1,-1,1,-760,7803] 2 [-21:129:1] 4046o2 [1,-1,1,600,31739] 2 [-13:153:1]
4046p (1 curve)	1	2- 7- 17+	2-  1  0 7- -4 -2 17+ -3
Curve Equation t Generators 4046p1 [1,0,0,-193,-887] 1 [-6:11:1]
4046q (2 curves)	1	2- 7- 17+	2- -2  0 7-  2 -2 17+  0
Curve Equation t Generators 4046q1 [1,0,0,-5208,-144452] 2 [84:70:1] 4046q2 [1,0,0,-8098,32994] 2 [-250:4171:8]
4046r (2 curves)	0	2- 7- 17-	2-  1  3 7-  0  5 17- -4
Curve Equation t 4046r1 [1,0,0,-2029,35017] 3 4046r2 [1,0,0,861,124607] 1
4046s (1 curve)	0	2- 7- 17-	2-  1 -4 7-  0 -2 17-  3
Curve Equation t 4046s1 [1,0,0,-345650,-78246124] 1
4046t (1 curve)	0	2- 7- 17-	2- -3 -1 7-  0  1 17-  4
Curve Equation t 4046t1 [1,-1,1,-3378,-95727] 1

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