Cremona's table of elliptic curves

112 = 2⁴ · 7

Class	r	Atkin-Lehner	Eigenvalues
112a (2 curves)	1	2+ 7+	2+ -2 -4 7+  0  0 -2  2
Curve Equation t Generators 112a1 [0,1,0,0,4] 2 [0:2:1] 112a2 [0,1,0,-40,84] 2 [10:-28:1]
112b (4 curves)	0	2+ 7-	2+  0  2 7-  4  2 -6 -8
Curve Equation t 112b1 [0,0,0,1,-2] 2 112b2 [0,0,0,-19,-30] 4 112b3 [0,0,0,-299,-1990] 2 112b4 [0,0,0,-59,138] 4
112c (6 curves)	0	2- 7+	2-  2  0 7+  0 -4  6 -2
Curve Equation t 112c1 [0,-1,0,-8,-16] 2 112c2 [0,-1,0,-168,-784] 2 112c3 [0,-1,0,72,368] 2 112c4 [0,-1,0,-568,4464] 2 112c5 [0,-1,0,-2728,55920] 2 112c6 [0,-1,0,-43688,3529328] 2

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