Cremona's table of elliptic curves

8288 = 2⁵ · 7 · 37

Class	r	Atkin-Lehner	Eigenvalues
8288a (2 curves)	1	2+ 7+ 37+	2+  2  0 7+  4  4  2 -6
Curve Equation t Generators 8288a1 [0,-1,0,-798,13328] 2 [669:2438:27] 8288a2 [0,-1,0,-14488,675924] 2 [60:138:1]
8288b (1 curve)	1	2+ 7+ 37+	2+  2 -1 7+ -3  3  2  0
Curve Equation t Generators 8288b1 [0,-1,0,-61,-171] 1 [63:492:1]
8288c (2 curves)	1	2+ 7+ 37+	2+ -2  2 7+  0 -2  8  0
Curve Equation t Generators 8288c1 [0,1,0,-22,48] 2 [2:4:1] 8288c2 [0,1,0,-392,2860] 2 [-17:70:1]
8288d (1 curve)	1	2+ 7+ 37+	2+ -2 -3 7+  5 -7 -2  0
Curve Equation t Generators 8288d1 [0,1,0,-3329837,-2339853701] 1 [743109323:-555249407188:1331]
8288e (2 curves)	0	2+ 7- 37+	2+  2  2 7-  0 -2  8  0
Curve Equation t 8288e1 [0,-1,0,-22,-48] 2 8288e2 [0,-1,0,-392,-2860] 2
8288f (1 curve)	0	2+ 7- 37+	2+  2 -3 7- -5 -7 -2  0
Curve Equation t 8288f1 [0,-1,0,-3329837,2339853701] 1
8288g (2 curves)	0	2+ 7- 37+	2+ -2  0 7- -4  4  2  6
Curve Equation t 8288g1 [0,1,0,-798,-13328] 2 8288g2 [0,1,0,-14488,-675924] 2
8288h (1 curve)	0	2- 7+ 37+	2-  2 -3 7+  5  1 -2  0
Curve Equation t 8288h1 [0,-1,0,83,-219] 1
8288i (1 curve)	1	2- 7- 37+	2- -2 -1 7-  3  3  2  0
Curve Equation t Generators 8288i1 [0,1,0,-61,171] 1 [5:4:1]
8288j (1 curve)	1	2- 7- 37+	2- -2 -3 7- -5  1 -2  0
Curve Equation t Generators 8288j1 [0,1,0,83,219] 1 [5:28:1]

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