Cremona's table of elliptic curves

31046 = 2 · 19² · 43

Class	r	Atkin-Lehner	Eigenvalues
31046a (2 curves)	0	2+ 19+ 43-	2+  0  0  2 -4 -2  6 19+
Curve Equation t 31046a1 [1,-1,0,-10717,-229455] 2 31046a2 [1,-1,0,-79307,8454039] 2
31046b (2 curves)	0	2+ 19+ 43-	2+  0  2  0  4  0  2 19+
Curve Equation t 31046b1 [1,-1,0,-31066,2114100] 2 31046b2 [1,-1,0,-24986,2961652] 2
31046c (1 curve)	0	2+ 19+ 43-	2+  0 -4  3 -2  6 -1 19+
Curve Equation t 31046c1 [1,-1,0,311656,-488720576] 1
31046d (1 curve)	0	2+ 19- 43+	2+ -2  2  3 -4 -2  3 19-
Curve Equation t 31046d1 [1,0,1,-100005,-12207772] 1
31046e (1 curve)	0	2+ 19- 43+	2+  3  2  3  6  3  3 19-
Curve Equation t 31046e1 [1,-1,0,1086381239,1484500203149] 1
31046f (1 curve)	2	2+ 19- 43+	2+ -3  2  0  3 -6 -6 19-
Curve Equation t Generators 31046f1 [1,-1,0,-1,445] 1 [-7:12:1]&[3:-23:1]
31046g (1 curve)	1	2+ 19- 43-	2+ -1 -2 -1 -2  3  3 19-
Curve Equation t Generators 31046g1 [1,1,0,-59211,-12519491] 1 [5109:362236:1]
31046h (1 curve)	0	2- 19+ 43+	2-  3  2  0  3  6 -6 19+
Curve Equation t 31046h1 [1,-1,1,-429,-3050219] 1
31046i (2 curves)	1	2- 19+ 43-	2-  0  0  2 -4  2  6 19+
Curve Equation t Generators 31046i1 [1,-1,1,-30,41] 2 [-364:207:64] 31046i2 [1,-1,1,-220,-1175] 2 [-15972:8149:1728]
31046j (2 curves)	1	2- 19+ 43-	2-  0  2  0  4  0  2 19+
Curve Equation t Generators 31046j1 [1,-1,1,-11214894,-14444537539] 2 [-1393623:2442763:729] 31046j2 [1,-1,1,-9020014,-20268871107] 2 [2594136648829:-145845623479705:476379541]
31046k (1 curve)	1	2- 19+ 43-	2-  0 -4  3 -2 -6 -1 19+
Curve Equation t Generators 31046k1 [1,-1,1,863,71025] 1 [81:-858:1]
31046l (1 curve)	0	2- 19- 43-	2-  2 -2  1  0  2  3 19-
Curve Equation t 31046l1 [1,1,1,3061,-36743] 1

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