Cremona's table of elliptic curves

828 = 2² · 3² · 23

Class	r	Atkin-Lehner	Eigenvalues
828a (2 curves)	0	2- 3+ 23+	2- 3+  2  2  4 -2  2 -2
Curve Equation t 828a1 [0,0,0,-24,45] 2 828a2 [0,0,0,-39,-18] 2
828b (2 curves)	1	2- 3+ 23-	2- 3+ -2  2 -4 -2 -2 -2
Curve Equation t Generators 828b1 [0,0,0,-216,-1215] 2 [-8:1:1] 828b2 [0,0,0,-351,486] 2 [-9:54:1]
828c (1 curve)	1	2- 3- 23+	2- 3-  2 -4 -2 -5 -4 -2
Curve Equation t Generators 828c1 [0,0,0,-9,-27] 1 [4:1:1]
828d (2 curves)	0	2- 3- 23-	2- 3-  0  2  0 -1  6  2
Curve Equation t 828d1 [0,0,0,15,-11] 1 828d2 [0,0,0,-165,997] 3

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