Cremona's table of elliptic curves

1085 = 5 · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
1085a (1 curve)	1	5+ 7+ 31+	0 -3 5+ 7+  4 -2 -1  3
Curve Equation t Generators 1085a1 [0,0,1,2,-147] 1 [9:24:1]
1085b (1 curve)	0	5+ 7- 31+	0  1 5+ 7-  4 -2  3 -5
Curve Equation t 1085b1 [0,1,1,12859,674791] 1
1085c (2 curves)	1	5+ 7- 31-	-1 -2 5+ 7- -2 -2  2  4
Curve Equation t Generators 1085c1 [1,0,0,-11,16] 2 [1:2:1] 1085c2 [1,0,0,-186,961] 2 [0:31:1]
1085d (1 curve)	0	5- 7+ 31+	0  3 5- 7+  1  7 -7  6
Curve Equation t 1085d1 [0,0,1,-832,-9338] 1
1085e (4 curves)	0	5- 7+ 31+	-1  0 5- 7+ -4  2 -2  4
Curve Equation t 1085e1 [1,-1,1,23,-24] 4 1085e2 [1,-1,1,-102,-124] 4 1085e3 [1,-1,1,-1327,-18254] 2 1085e4 [1,-1,1,-877,10106] 2
1085f (1 curve)	0	5- 7+ 31+	2  3 5- 7+ -1 -1  1 -2
Curve Equation t 1085f1 [0,0,1,-33967,-4205495] 1
1085g (1 curve)	1	5- 7+ 31-	2 -1 5- 7+ -5 -5 -3 -2
Curve Equation t Generators 1085g1 [0,-1,1,0,-9] 1 [26:27:8]
1085h (1 curve)	1	5- 7+ 31-	-2 -1 5- 7+ -1  3  5 -2
Curve Equation t Generators 1085h1 [0,-1,1,-33290,2349006] 1 [110:-78:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations