Cremona's table of elliptic curves

4004 = 2² · 7 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
4004a (1 curve)	1	2- 7+ 11+ 13-	2- -1 -3 7+ 11+ 13-  4  0
Curve Equation t Generators 4004a1 [0,-1,0,-2717,-54791] 1 [72:343:1]
4004b (4 curves)	0	2- 7- 11+ 13-	2- -2  0 7- 11+ 13-  6 -4
Curve Equation t 4004b1 [0,1,0,-1253,16660] 6 4004b2 [0,1,0,-1188,18532] 6 4004b3 [0,1,0,-2373,-18536] 2 4004b4 [0,1,0,8612,-132780] 2
4004c (2 curves)	0	2- 7- 11- 13+	2-  2  4 7- 11- 13+  2  4
Curve Equation t 4004c1 [0,-1,0,-21,38] 2 4004c2 [0,-1,0,44,168] 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