Cremona's table of elliptic curves

7191 = 3² · 17 · 47

Class	r	Atkin-Lehner	Eigenvalues
7191a (1 curve)	2	3+ 17+ 47-	-2 3+ -1 -5 -3  2 17+  4
Curve Equation t Generators 7191a1 [0,0,1,-63,190] 1 [-5:19:1]&[2:8:1]
7191b (1 curve)	0	3+ 17- 47+	2 3+  1 -5  3  2 17-  4
Curve Equation t 7191b1 [0,0,1,-567,-5137] 1
7191c (2 curves)	0	3- 17+ 47+	1 3-  0 -2  0 -6 17+ -4
Curve Equation t 7191c1 [1,-1,0,-1062,-12353] 2 7191c2 [1,-1,0,-3177,54058] 2
7191d (2 curves)	0	3- 17+ 47+	-1 3-  0  0  2  2 17+  0
Curve Equation t 7191d1 [1,-1,1,-8150,284924] 2 7191d2 [1,-1,1,-6035,434666] 2
7191e (1 curve)	1	3- 17+ 47-	0 3-  1  3 -1 -6 17+ -2
Curve Equation t Generators 7191e1 [0,0,1,-15762,-758997] 1 [-69:8:1]
7191f (2 curves)	1	3- 17+ 47-	1 3- -4 -2  0  2 17+  4
Curve Equation t Generators 7191f1 [1,-1,0,-144,-581] 2 [-50:79:8] 7191f2 [1,-1,0,-2259,-40766] 2 [3764:8675:64]
7191g (2 curves)	1	3- 17- 47+	0 3-  3 -1 -3  2 17-  2
Curve Equation t Generators 7191g1 [0,0,1,-2136,-8757] 1 [-7:76:1] 7191g2 [0,0,1,-103656,12844944] 3 [-1694:40235:8]
7191h (1 curve)	1	3- 17- 47+	-2 3-  3 -2 -3 -3 17-  5
Curve Equation t Generators 7191h1 [0,0,1,-32871,-2371136] 1 [292:3595:1]
7191i (1 curve)	0	3- 17- 47-	0 3- -3  3  3  6 17-  6
Curve Equation t 7191i1 [0,0,1,-110573994,410342523660] 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