Cremona's table of elliptic curves

8008 = 2³ · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 7- 11- 13+	Signs for the Atkin-Lehner involutions
Conductor	8008	Conductor
Count	2	Number of curves in isogeny class
Curves	8008e1 8008e2	Curves in isogeny class
deg	832	Modular degree for the optimal curve
Eigenvalues	2-  0 -2 7- 11- 13+  4  0	Hecke eigenvalues for primes less than 20
L	1.2131217028695	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	16016a 64064m 72072o 56056u	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 8008e

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	-2	-	-	+	4	0	-4	0	0	4	-2	0	4	-2	-6	-2	-4	-6	-10	10	0	-4	12

---

Quadratic twists for isogeny class 8008e

-4	8	-3	-7	-11	13
16016a	64064m	72072o	56056u	88088e	104104b

---

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