Cremona's table of elliptic curves

192 = 2⁶ · 3

Class	r	Atkin-Lehner	Eigenvalues
192a (4 curves)	1	2+ 3+	2+ 3+ -2 -4 -4  2 -6  4
Curve Equation t Generators 192a1 [0,-1,0,-4,-2] 2 [3:2:1] 192a2 [0,-1,0,-9,9] 4 [-1:4:1] 192a3 [0,-1,0,-129,609] 4 [-11:24:1] 192a4 [0,-1,0,31,33] 2 [1:8:1]
192b (4 curves)	0	2+ 3-	2+ 3- -2  4  4  2 -6 -4
Curve Equation t 192b1 [0,1,0,-4,2] 2 192b2 [0,1,0,-9,-9] 4 192b3 [0,1,0,-129,-609] 2 192b4 [0,1,0,31,-33] 4
192c (6 curves)	0	2+ 3-	2+ 3-  2  0 -4  2  2  4
Curve Equation t 192c1 [0,1,0,3,3] 2 192c2 [0,1,0,-17,15] 4 192c3 [0,1,0,-97,-385] 4 192c4 [0,1,0,-257,1503] 2 192c5 [0,1,0,-1537,-23713] 2 192c6 [0,1,0,63,-1377] 4
192d (6 curves)	0	2- 3+	2- 3+  2  0  4  2  2 -4
Curve Equation t 192d1 [0,-1,0,3,-3] 2 192d2 [0,-1,0,-17,-15] 4 192d3 [0,-1,0,-257,-1503] 2 192d4 [0,-1,0,-97,385] 4 192d5 [0,-1,0,-1537,23713] 4 192d6 [0,-1,0,63,1377] 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