Cremona's table of elliptic curves

74415 = 3 · 5 · 11² · 41

Class	r	Atkin-Lehner	Eigenvalues
74415a (1 curve)	0	3+ 5+ 11- 41+	-2 3+ 5+  4 11-  4  1  3
Curve Equation t 74415a1 [0,-1,1,-64896,-4626898] 1
74415b (1 curve)	1	3+ 5+ 11- 41-	0 3+ 5+ -2 11-  0  5  1
Curve Equation t Generators 74415b1 [0,-1,1,-81231,8307881] 1 [125:302:1]
74415c (2 curves)	1	3+ 5+ 11- 41-	1 3+ 5+  0 11-  0  0 -2
Curve Equation t Generators 74415c1 [1,1,0,-728,4107] 2 [-194:823:8] 74415c2 [1,1,0,2297,32542] 2 [-34:1223:8]
74415d (1 curve)	0	3+ 5- 11+ 41+	2 3+ 5-  0 11+ -2 -1 -5
Curve Equation t 74415d1 [0,-1,1,-124670,-16879237] 1
74415e (1 curve)	1	3+ 5- 11+ 41-	-2 3+ 5-  0 11+  2  1  5
Curve Equation t Generators 74415e1 [0,-1,1,-1030,13056] 1 [15:-28:1]
74415f (1 curve)	1	3+ 5- 11- 41+	-2 3+ 5-  4 11-  4 -3 -3
Curve Equation t Generators 74415f1 [0,-1,1,-1250,16598] 1 [-18:181:1]
74415g (4 curves)	0	3+ 5- 11- 41-	-1 3+ 5-  4 11- -2  2  0
Curve Equation t 74415g1 [1,1,1,-2332580,1366433300] 4 74415g2 [1,1,1,-3349585,56937662] 4 74415g3 [1,1,1,13393790,472173362] 2 74415g4 [1,1,1,-36365040,-84145678770] 2
74415h (1 curve)	1	3- 5+ 11- 41+	0 3- 5+  0 11-  4  3  6
Curve Equation t Generators 74415h1 [0,1,1,9519,322625] 1 [-21:337:1]
74415i (1 curve)	0	3- 5- 11- 41+	1 3- 5- -3 11-  0  5  8
Curve Equation t 74415i1 [1,0,1,-110113,-7959019] 1
74415j (2 curves)	1	3- 5- 11- 41-	0 3- 5- -2 11-  4  3  1
Curve Equation t Generators 74415j1 [0,1,1,-34525,-1255094] 1 [-70:-908:1] 74415j2 [0,1,1,-1341325,597438991] 1 [623:-1997:1]
74415k (4 curves)	1	3- 5- 11- 41-	1 3- 5-  0 11- -2  2  8
Curve Equation t Generators 74415k1 [1,0,1,9072,-470087] 2 [3871291:107488410:4913] 74415k2 [1,0,1,-64133,-4891669] 4 [3165:175897:1] 74415k3 [1,0,1,-336988,71071163] 4 [409:1100:1] 74415k4 [1,0,1,-962558,-363542929] 2 [1652424:88074743:512]
74415l (1 curve)	1	3- 5- 11- 41-	-1 3- 5-  3 11-  0 -5 -8
Curve Equation t Generators 74415l1 [1,0,0,-910,5897] 1 [-1:-82:1]
74415m (1 curve)	1	3- 5- 11- 41-	-2 3- 5-  0 11-  4  5  5
Curve Equation t Generators 74415m1 [0,1,1,-57314110,-164152063586] 1 [-4789:22687:1]

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