Cremona's table of elliptic curves

3003 = 3 · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	3+ 7+ 11- 13+	Signs for the Atkin-Lehner involutions
Conductor	3003	Conductor
Count	4	Number of curves in isogeny class
Curves	3003a1 3003a2 3003a3 3003a4	Curves in isogeny class
deg	448	Modular degree for the optimal curve
Eigenvalues	1 3+  2 7+ 11- 13+  6 -4	Hecke eigenvalues for primes less than 20
L	1.896010432754	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	48048cr 9009d 75075bs 21021p	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 3003a

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
1	+	2	+	-	+	6	-4	0	6	-4	-2	6	0	4	6	-8	10	-4	8	6	4	12	-2	-10

---

Quadratic twists for isogeny class 3003a

-4	-3	5	-7	-11	13
48048cr	9009d	75075bs	21021p	33033o	39039l

---

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