Cremona's table of elliptic curves

304 = 2⁴ · 19

Field	Data	Notes
Atkin-Lehner	2- 19+	Signs for the Atkin-Lehner involutions
Conductor	304	Conductor
Count	3	Number of curves in isogeny class
Curves	304b1 304b2 304b3	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	2- -1  0  1  6  5  3 19+	Hecke eigenvalues for primes less than 20
L	1.2026277579624	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	38a 1216o 2736m 7600l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 304b

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	0	1	6	5	3	+	-3	9	4	2	0	-8	0	-3	-9	-10	-5	6	-7	10	6	-12	-10

---

Quadratic twists for isogeny class 304b

-4	8	-3	5	-7	-11	13	17	-19
38a	1216o	2736m	7600l	14896bd	36784bh	51376v	87856g	5776l

---

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