Cremona's table of elliptic curves

3038 = 2 · 7² · 31

Field	Data	Notes
Atkin-Lehner	2- 7- 31+	Signs for the Atkin-Lehner involutions
Conductor	3038	Conductor
Count	3	Number of curves in isogeny class
Curves	3038h1 3038h2 3038h3	Curves in isogeny class
deg	2304	Modular degree for the optimal curve
Eigenvalues	2- -1 -3 7-  0  4  6 -2	Hecke eigenvalues for primes less than 20
L	3.5514187637799	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	24304v 97216h 27342k 75950j	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3038h

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	-3	-	0	4	6	-2	-3	3	+	2	-12	-10	-3	6	0	-8	-13	-12	-11	-1	9	9	-8

---

Quadratic twists for isogeny class 3038h

-4	8	-3	5	-7	-31
24304v	97216h	27342k	75950j	434b	94178x

---

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