Cremona's table of elliptic curves

82416 = 2⁴ · 3 · 17 · 101

Class	r	Atkin-Lehner	Eigenvalues
82416a (1 curve)	0	2+ 3+ 17- 101+	2+ 3+  2  4  2  4 17-  7
Curve Equation t 82416a1 [0,-1,0,-272,-1632] 1
82416b (1 curve)	0	2+ 3+ 17- 101+	2+ 3+  3 -2  2  4 17-  4
Curve Equation t 82416b1 [0,-1,0,73656,6294672] 1
82416c (1 curve)	1	2+ 3- 17+ 101-	2+ 3-  0 -2 -4 -4 17+ -3
Curve Equation t Generators 82416c1 [0,1,0,-1666728,-820402668] 1 [-684:306:1]
82416d (2 curves)	1	2+ 3- 17+ 101-	2+ 3- -4 -2  4  2 17+  0
Curve Equation t Generators 82416d1 [0,1,0,-4400,-112476] 2 [-38:36:1] 82416d2 [0,1,0,-8440,121844] 2 [2:324:1]
82416e (1 curve)	1	2+ 3- 17- 101+	2+ 3-  1  4 -4  2 17- -6
Curve Equation t Generators 82416e1 [0,1,0,-4080,-114444] 1 [204:2754:1]
82416f (1 curve)	0	2+ 3- 17- 101-	2+ 3-  1 -2 -3 -1 17-  7
Curve Equation t 82416f1 [0,1,0,-1105,13787] 1
82416g (1 curve)	1	2- 3+ 17+ 101-	2- 3+ -1  0  0 -2 17+ -6
Curve Equation t Generators 82416g1 [0,-1,0,224,-128] 1 [24:136:1]
82416h (2 curves)	1	2- 3+ 17- 101+	2- 3+  0 -2  0 -4 17-  1
Curve Equation t Generators 82416h1 [0,-1,0,-38408,-2317584] 1 [-140:544:1] 82416h2 [0,-1,0,-956408,360123504] 1 [-356:25600:1]
82416i (1 curve)	0	2- 3+ 17- 101-	2- 3+ -2  0 -2  0 17-  3
Curve Equation t 82416i1 [0,-1,0,-9504,311040] 1
82416j (2 curves)	1	2- 3- 17+ 101+	2- 3-  0 -2  4  2 17+  8
Curve Equation t Generators 82416j1 [0,1,0,-133728,-18863244] 2 [1604:62418:1] 82416j2 [0,1,0,-149888,-14034636] 2 [-302:1944:1]
82416k (1 curve)	0	2- 3- 17+ 101-	2- 3-  1  2 -6 -4 17+  8
Curve Equation t 82416k1 [0,1,0,-165960,-304006284] 1
82416l (2 curves)	0	2- 3- 17+ 101-	2- 3-  2 -4 -4 -2 17+  4
Curve Equation t 82416l1 [0,1,0,-297,-2070] 2 82416l2 [0,1,0,-212,-3192] 2
82416m (2 curves)	0	2- 3- 17+ 101-	2- 3- -2 -4  0  2 17+ -4
Curve Equation t 82416m1 [0,1,0,-569,-5418] 2 82416m2 [0,1,0,-524,-6264] 2
82416n (1 curve)	0	2- 3- 17+ 101-	2- 3-  4  2  0 -4 17+  5
Curve Equation t 82416n1 [0,1,0,-2456,45972] 1
82416o (1 curve)	2	2- 3- 17- 101+	2- 3- -3 -2  1 -1 17- -1
Curve Equation t Generators 82416o1 [0,1,0,-8517,392751] 1 [306:5151:1]&[-85:714:1]
82416p (1 curve)	1	2- 3- 17- 101-	2- 3-  0  2 -4  4 17-  1
Curve Equation t Generators 82416p1 [0,1,0,-208,-748] 1 [-4:6:1]
82416q (2 curves)	1	2- 3- 17- 101-	2- 3-  2  0  0  2 17-  4
Curve Equation t Generators 82416q1 [0,1,0,-3592,-76492] 2 [-28:54:1] 82416q2 [0,1,0,4488,-364140] 2 [68:510:1]

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