Cremona's table of elliptic curves

82280 = 2³ · 5 · 11² · 17

Class	r	Atkin-Lehner	Eigenvalues
82280a (4 curves)	0	2+ 5+ 11- 17+	2+  0 5+  0 11-  2 17+  4
Curve Equation t 82280a1 [0,0,0,-17303,-875798] 2 82280a2 [0,0,0,-19723,-614922] 4 82280a3 [0,0,0,62557,-4416258] 2 82280a4 [0,0,0,-140723,19882478] 2
82280b (1 curve)	2	2+ 5+ 11- 17+	2+  0 5+  2 11- -1 17+ -5
Curve Equation t Generators 82280b1 [0,0,0,-2783,56507] 1 [11:165:1]&[22:77:1]
82280c (1 curve)	0	2+ 5+ 11- 17+	2+  3 5+  4 11-  6 17+  7
Curve Equation t 82280c1 [0,0,0,-3388,-20812] 1
82280d (1 curve)	1	2+ 5+ 11- 17-	2+ -2 5+  4 11- -7 17-  3
Curve Equation t Generators 82280d1 [0,1,0,-132656,-18638831] 1 [-209:25:1]
82280e (2 curves)	1	2+ 5- 11+ 17-	2+  2 5-  0 11+ -2 17- -2
Curve Equation t Generators 82280e1 [0,-1,0,-480,-4420] 2 [3876049:1082004:148877] 82280e2 [0,-1,0,-7960,-270708] 2 [170728414467:-35184951165700:4019679]
82280f (1 curve)	1	2+ 5- 11- 17+	2+  0 5- -2 11-  3 17+ -5
Curve Equation t Generators 82280f1 [0,0,0,-208967,-27246901] 1 [-242:-3025:1]
82280g (1 curve)	1	2+ 5- 11- 17+	2+ -1 5- -2 11-  1 17+  1
Curve Equation t Generators 82280g1 [0,-1,0,-40,26732] 1 [257:4114:1]
82280h (1 curve)	1	2+ 5- 11- 17+	2+  2 5-  0 11-  5 17+  1
Curve Equation t Generators 82280h1 [0,-1,0,-40,-75] 1 [-3:3:1]
82280i (2 curves)	1	2+ 5- 11- 17+	2+  2 5- -2 11- -2 17+ -8
Curve Equation t Generators 82280i1 [0,-1,0,-428380,108060372] 2 [-711:7260:1] 82280i2 [0,-1,0,-425960,109339100] 2 [370:1500:1]
82280j (1 curve)	1	2- 5+ 11- 17+	2- -2 5+ -4 11-  7 17+ -3
Curve Equation t Generators 82280j1 [0,1,0,-1096,13605] 1 [22:-25:1]
82280k (1 curve)	1	2- 5+ 11- 17+	2-  3 5+  2 11-  3 17+ -7
Curve Equation t Generators 82280k1 [0,0,0,-19723,-274800922] 1 [70466253014368577531353864256683890923454:1341532543492864578341890344932864009238582316:194420077394825621197376521201899]
82280l (1 curve)	0	2- 5+ 11- 17-	2-  0 5+ -2 11-  1 17-  5
Curve Equation t 82280l1 [0,0,0,-336743,-75210817] 1
82280m (1 curve)	0	2- 5+ 11- 17-	2-  3 5+ -4 11- -6 17- -7
Curve Equation t 82280m1 [0,0,0,-409948,27700772] 1
82280n (2 curves)	1	2- 5- 11+ 17+	2-  2 5-  0 11+  2 17+  2
Curve Equation t Generators 82280n1 [0,-1,0,-58120,6115452] 2 [1409257731:46813508742:1225043] 82280n2 [0,-1,0,-963200,364165100] 2 [2139073769171733:58374962117969770:1675406783133]
82280o (1 curve)	0	2- 5- 11- 17+	2- -2 5- -1 11- -4 17+  0
Curve Equation t 82280o1 [0,1,0,-133745,-27691325] 1
82280p (4 curves)	1	2- 5- 11- 17-	2-  0 5-  0 11- -2 17-  0
Curve Equation t Generators 82280p1 [0,0,0,8833,10975426] 4 [-198:1210:1] 82280p2 [0,0,0,-690547,215614014] 4 [12518:1397550:1] 82280p3 [0,0,0,-1595627,-467359354] 2 [338394:37686250:27] 82280p4 [0,0,0,-10975547,13995457014] 2 [413718:37765:216]
82280q (1 curve)	1	2- 5- 11- 17-	2-  0 5-  2 11- -3 17-  5
Curve Equation t Generators 82280q1 [0,0,0,-1727,20471] 1 [37:85:1]
82280r (1 curve)	1	2- 5- 11- 17-	2-  2 5-  0 11- -5 17- -1
Curve Equation t Generators 82280r1 [0,-1,0,-4880,119297] 1 [64:255:1]

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