Cremona's table of elliptic curves

1394 = 2 · 17 · 41

Class	r	Atkin-Lehner	Eigenvalues
1394a (2 curves)	1	2+ 17+ 41+	2+  0  0  0  0  4 17+ -6
Curve Equation t Generators 1394a1 [1,-1,0,-697,6765] 2 [19:1:1] 1394a2 [1,-1,0,-10937,442989] 2 [65:27:1]
1394b (2 curves)	1	2+ 17+ 41+	2+  0  2 -2  0  0 17+  4
Curve Equation t Generators 1394b1 [1,-1,0,-236,-1328] 2 [-9:7:1] 1394b2 [1,-1,0,-76,-3216] 2 [23:71:1]
1394c (2 curves)	1	2+ 17+ 41+	2+  2 -2  0  2 -4 17+ -6
Curve Equation t Generators 1394c1 [1,1,0,-115031,9402965] 2 [-2914:15635:8] 1394c2 [1,1,0,-770391,-253658539] 2 [-600454518:-997490363:1061208]
1394d (1 curve)	1	2+ 17+ 41+	2+ -3  3  0 -3  1 17+ -6
Curve Equation t Generators 1394d1 [1,-1,0,2,-2] 1 [1:0:1]
1394e (2 curves)	1	2+ 17- 41-	2+  0 -2  0  4 -2 17-  6
Curve Equation t Generators 1394e1 [1,-1,0,-13,21] 2 [-2:7:1] 1394e2 [1,-1,0,7,65] 2 [1:8:1]
1394f (2 curves)	0	2- 17+ 41+	2-  2  4  0  2 -2 17+ -8
Curve Equation t 1394f1 [1,1,1,-606,-5989] 2 1394f2 [1,1,1,-766,-2789] 2
1394g (2 curves)	1	2- 17+ 41-	2-  1 -3  2 -3 -7 17+ -4
Curve Equation t Generators 1394g1 [1,0,0,-62,-244] 3 [146:1690:1] 1394g2 [1,0,0,-5392,-152846] 1 [44407110:450678883:287496]
1394h (1 curve)	1	2- 17- 41+	2- -1 -3  2  3 -1 17- -4
Curve Equation t Generators 1394h1 [1,1,1,-47,117] 1 [3:2:1]

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