Cremona's table of elliptic curves

10082 = 2 · 71²

Class	r	Atkin-Lehner	Eigenvalues
10082a (2 curves)	0	2+ 71-	2+  0  2  0 -6 -4 -6 -8
Curve Equation t 10082a1 [1,-1,0,-5986,1175892] 2 10082a2 [1,-1,0,-207626,36301580] 2
10082b (1 curve)	0	2+ 71-	2+  1  0  3  6  3  6  7
Curve Equation t 10082b1 [1,0,1,-708366,-227675928] 1
10082c (1 curve)	2	2+ 71-	2+  1  0 -3 -6 -3 -6  7
Curve Equation t Generators 10082c1 [1,0,1,-141,624] 1 [-6:38:1]&[6:-1:1]
10082d (1 curve)	0	2+ 71-	2+ -1 -2  1  2  3  6  5
Curve Equation t 10082d1 [1,1,0,-7666,153806] 1
10082e (1 curve)	0	2+ 71-	2+ -1  4  4 -1  6  3 -1
Curve Equation t 10082e1 [1,1,0,2,20] 1
10082f (1 curve)	0	2+ 71-	2+ -1  4 -4  1 -6 -3 -1
Curve Equation t 10082f1 [1,1,0,7457,-6908635] 1
10082g (1 curve)	0	2+ 71-	2+  3  2  3  6  5 -6  1
Curve Equation t 10082g1 [1,-1,0,-13238611,-18460412875] 1
10082h (1 curve)	1	2- 71-	2-  0 -1  0  0  2 -3  4
Curve Equation t Generators 10082h1 [1,-1,1,-58,185] 1 [5:-1:1]
10082i (1 curve)	1	2- 71-	2-  0 -1  0  0 -2  3  4
Curve Equation t Generators 10082i1 [1,-1,1,-290803,-61074157] 1 [41039:8292398:1]
10082j (2 curves)	1	2- 71-	2-  1  0  1  0  1  0 -1
Curve Equation t Generators 10082j1 [1,0,0,-40433,-3105679] 1 [-112:201:1] 10082j2 [1,0,0,-292483,59090179] 1 [1070838:19314791:5832]
10082k (1 curve)	1	2- 71-	2- -1 -2  5  0 -5  0  1
Curve Equation t Generators 10082k1 [1,1,1,-2164,37845] 1 [41:121:1]
10082l (1 curve)	1	2- 71-	2- -1 -2 -5  0  5  0  1
Curve Equation t Generators 10082l1 [1,1,1,-10908829,-13872470253] 1 [-1909:1280:1]
10082m (1 curve)	1	2- 71-	2- -3 -4  3  0 -1  0 -5
Curve Equation t Generators 10082m1 [1,-1,1,-58917,-4403235] 1 [373:4854:1]

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