Cremona's table of elliptic curves

31920 = 2⁴ · 3 · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 19+	Signs for the Atkin-Lehner involutions
Conductor	31920	Conductor
Count	6	Number of curves in isogeny class
Curves	31920bx1 31920bx2 31920bx3 31920bx4 31920bx5 31920bx6	Curves in isogeny class
deg	73728	Modular degree for the optimal curve
Eigenvalues	2- 3- 5- 7- -4 -2  2 19+	Hecke eigenvalues for primes less than 20
L	7.2798343013208	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	3990u 127680ee 95760dm	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for isogeny class 31920bx

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
-	-	-	-	-4	-2	2	+	0	6	0	-2	-6	-12	8	-10	4	14	-4	0	10	-8	-12	10	-14

---

Quadratic twists for isogeny class 31920bx

-4	8	-3
3990u	127680ee	95760dm

---

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