Cremona's table of elliptic curves

6006 = 2 · 3 · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 11- 13-	Signs for the Atkin-Lehner involutions
Conductor	6006	Conductor
Count	4	Number of curves in isogeny class
Curves	6006r1 6006r2 6006r3 6006r4	Curves in isogeny class
deg	3456	Modular degree for the optimal curve
Eigenvalues	2+ 3-  0 7- 11- 13- -6 -4	Hecke eigenvalues for primes less than 20
L	3.6591451359823	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	48048be 18018bm 42042p 66066ci	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for isogeny class 6006r

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	0	-	-	-	-6	-4	0	6	2	-4	-6	-10	12	6	-6	-10	-10	-6	2	-4	0	-6	-16

---

Quadratic twists for isogeny class 6006r

-4	-3	-7	-11	13
48048be	18018bm	42042p	66066ci	78078ct

---

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