Cremona's table of elliptic curves

41574 = 2 · 3 · 13² · 41

Class	r	Atkin-Lehner	Eigenvalues
41574a (1 curve)	0	2+ 3+ 13+ 41-	2+ 3+  0 -5  0 13+ -4 -8
Curve Equation t 41574a1 [1,1,0,-7418765,-7780690809] 1
41574b (1 curve)	0	2+ 3+ 13+ 41-	2+ 3+ -1 -2 -2 13+  7 -7
Curve Equation t 41574b1 [1,1,0,-45633,-3772179] 1
41574c (1 curve)	0	2+ 3+ 13+ 41-	2+ 3+ -1 -2  5 13+ -7  0
Curve Equation t 41574c1 [1,1,0,-5063246763,138670602576381] 1
41574d (1 curve)	0	2+ 3+ 13+ 41-	2+ 3+ -1  4  1 13+  7  8
Curve Equation t 41574d1 [1,1,0,-10988,53136] 1
41574e (1 curve)	0	2+ 3+ 13+ 41-	2+ 3+  2  1  2 13+ -4  6
Curve Equation t 41574e1 [1,1,0,13686,46589652] 1
41574f (1 curve)	1	2+ 3+ 13- 41-	2+ 3+ -3  0 -3 13-  3  6
Curve Equation t Generators 41574f1 [1,1,0,-1084814,-431969676] 1 [5140:357738:1]
41574g (2 curves)	0	2+ 3- 13+ 41+	2+ 3- -1  2 -2 13+ -7 -5
Curve Equation t 41574g1 [1,0,1,-29579,-61150282] 1 41574g2 [1,0,1,-97941419,-373084493962] 1
41574h (4 curves)	0	2+ 3- 13+ 41+	2+ 3-  2 -4  4 13+  2  4
Curve Equation t 41574h1 [1,0,1,-1525,21296] 2 41574h2 [1,0,1,-4905,-107144] 4 41574h3 [1,0,1,10305,-636452] 2 41574h4 [1,0,1,-74195,-7784476] 2
41574i (1 curve)	1	2+ 3- 13+ 41-	2+ 3-  3  0 -1 13+ -3  4
Curve Equation t Generators 41574i1 [1,0,1,-135542,18845192] 1 [885:-24779:1]
41574j (1 curve)	2	2+ 3- 13- 41-	2+ 3- -3 -4 -5 13-  3 -6
Curve Equation t Generators 41574j1 [1,0,1,-485,-700] 1 [27:-92:1]&[-15:64:1]
41574k (1 curve)	0	2- 3+ 13+ 41+	2- 3+  0  5  0 13+ -4  8
Curve Equation t 41574k1 [1,1,1,-43898,-3558391] 1
41574l (1 curve)	2	2- 3+ 13+ 41+	2- 3+ -2 -1 -2 13+ -4 -6
Curve Equation t Generators 41574l1 [1,1,1,81,21237] 1 [-25:78:1]&[31:218:1]
41574m (1 curve)	0	2- 3+ 13+ 41+	2- 3+ -3  2 -2 13+  5  1
Curve Equation t 41574m1 [1,1,1,-7017,-235305] 1
41574n (1 curve)	0	2- 3+ 13+ 41+	2- 3+ -3  2  3 13+  5 -4
Curve Equation t 41574n1 [1,1,1,-1534777,230653847] 1
41574o (2 curves)	1	2- 3+ 13+ 41-	2- 3+  2 -2  4 13+ -2  8
Curve Equation t Generators 41574o1 [1,1,1,-11242,451511] 2 [53:63:1] 41574o2 [1,1,1,-4482,997719] 2 [391:7499:1]
41574p (1 curve)	1	2- 3+ 13- 41+	2- 3+  3  0  3 13-  3 -6
Curve Equation t Generators 41574p1 [1,1,1,-6419,-199087] 1 [-47:62:1]
41574q (1 curve)	1	2- 3- 13+ 41+	2- 3-  1  2 -3 13+ -3 -4
Curve Equation t Generators 41574q1 [1,0,0,-5665,155609] 1 [-64:539:1]
41574r (2 curves)	0	2- 3- 13+ 41-	2- 3-  2 -2 -4 13+ -2  0
Curve Equation t 41574r1 [1,0,0,-76708512,-258597411840] 2 41574r2 [1,0,0,-76600352,-259362989952] 2
41574s (2 curves)	0	2- 3- 13+ 41-	2- 3-  2 -2 -4 13+  4  0
Curve Equation t 41574s1 [1,0,0,134943,-27860535] 2 41574s2 [1,0,0,-973697,-291938583] 2
41574t (2 curves)	0	2- 3- 13+ 41-	2- 3- -3 -2  6 13+  3 -5
Curve Equation t 41574t1 [1,0,0,-257,5199] 1 41574t2 [1,0,0,2278,-129156] 1
41574u (1 curve)	0	2- 3- 13- 41+	2- 3-  3  4  5 13-  3  6
Curve Equation t 41574u1 [1,0,0,-81884,-1455468] 1

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