Cremona's table of elliptic curves

74005 = 5 · 19² · 41

Class	r	Atkin-Lehner	Eigenvalues
74005a (1 curve)	1	5+ 19+ 41+	-1  2 5+ -2 -1  1 -3 19+
Curve Equation t Generators 74005a1 [1,1,1,4144,438694] 1 [1884:27022:27]
74005b (1 curve)	1	5+ 19+ 41+	2  2 5+ -2  5 -2  6 19+
Curve Equation t Generators 74005b1 [0,-1,1,-74486,-7799783] 1 [-5653774830:7868593:35937000]
74005c (1 curve)	0	5+ 19+ 41-	0  0 5+  0 -3  0 -2 19+
Curve Equation t 74005c1 [0,0,1,-13718,-228062] 1
74005d (1 curve)	2	5+ 19- 41+	0  0 5+  0 -3  0 -2 19-
Curve Equation t Generators 74005d1 [0,0,1,-38,33] 1 [2:35:8]&[9:-21:1]
74005e (1 curve)	0	5+ 19- 41+	0  3 5+  0  6 -3  4 19-
Curve Equation t 74005e1 [0,0,1,791312,162391969] 1
74005f (2 curves)	0	5+ 19- 41+	1 -2 5+  2  6 -2  2 19-
Curve Equation t 74005f1 [1,0,1,-7589,253587] 2 74005f2 [1,0,1,-5784,377771] 2
74005g (2 curves)	1	5+ 19- 41-	0 -1 5+  2  0  1  6 19-
Curve Equation t Generators 74005g1 [0,-1,1,-58241,-5460864] 1 [18084:47981:64] 74005g2 [0,-1,1,216119,-27142163] 1 [1343:51803:1]
74005h (1 curve)	1	5+ 19- 41-	1 -2 5+ -2 -1 -1 -3 19-
Curve Equation t Generators 74005h1 [1,0,1,11,-63] 1 [3:-1:1]
74005i (1 curve)	1	5+ 19- 41-	-2  1 5+  4 -4 -1  0 19-
Curve Equation t Generators 74005i1 [0,1,1,-1139436,625646770] 1 [-375263:8144891:343]
74005j (1 curve)	1	5+ 19- 41-	-2 -2 5+ -2  5  2  6 19-
Curve Equation t Generators 74005j1 [0,1,1,-26889566,53660047026] 1 [2919:7031:1]
74005k (1 curve)	1	5+ 19- 41-	-2 -3 5+  0  0 -5  4 19-
Curve Equation t Generators 74005k1 [0,0,1,-4693,-132036] 1 [114:902:1]
74005l (1 curve)	2	5- 19+ 41+	0 -3 5- -4 -6 -1 -6 19+
Curve Equation t Generators 74005l1 [0,0,1,38,90] 1 [-2:2:1]&[0:9:1]
74005m (1 curve)	0	5- 19+ 41+	1  1 5-  3  0  0 -6 19+
Curve Equation t 74005m1 [1,0,1,-8,-557] 1
74005n (1 curve)	1	5- 19+ 41-	0  3 5- -4 -6  1 -6 19+
Curve Equation t Generators 74005n1 [0,0,1,13718,-619025] 1 [1551:16154:27]
74005o (1 curve)	1	5- 19+ 41-	-2 -2 5-  4 -1  0 -4 19+
Curve Equation t Generators 74005o1 [0,1,1,-7340,-235536] 1 [-42:20:1]
74005p (4 curves)	1	5- 19- 41+	1  0 5- -4  0  2 -6 19-
Curve Equation t Generators 74005p1 [1,-1,0,-7829,-264472] 2 [46676:348662:343] 74005p2 [1,-1,0,-9634,-131985] 4 [166:1597:1] 74005p3 [1,-1,0,35491,-1043510] 2 [25026:451447:216] 74005p4 [1,-1,0,-83639,9237048] 2 [212:894:1]
74005q (1 curve)	1	5- 19- 41+	2 -1 5- -2  2 -3  2 19-
Curve Equation t Generators 74005q1 [0,-1,1,7100,-17] 1 [2042:34291:8]
74005r (1 curve)	1	5- 19- 41+	2  2 5-  4 -1  0 -4 19-
Curve Equation t Generators 74005r1 [0,-1,1,-2649860,1599640801] 1 [40023396580809225392507853659706673014:59949744309067698648425173846731683604373:1532439230796695495727029996382783672]
74005s (2 curves)	0	5- 19- 41-	1 -2 5- -2 -4 -4  0 19-
Curve Equation t 74005s1 [1,0,1,-126358,16533243] 2 74005s2 [1,0,1,-351983,-59006007] 2
74005t (1 curve)	0	5- 19- 41-	-1 -1 5-  3  0  0 -6 19-
Curve Equation t 74005t1 [1,1,1,-2715,3813322] 1
74005u (2 curves)	0	5- 19- 41-	-1 -2 5-  2  0  4  4 19-
Curve Equation t 74005u1 [1,0,0,-910,75] 2 74005u2 [1,0,0,-9935,-380780] 2

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