Cremona's table of elliptic curves

31680 = 2⁶ · 3² · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 11+	Signs for the Atkin-Lehner involutions
Conductor	31680	Conductor
Count	6	Number of curves in isogeny class
Curves	31680be1 31680be2 31680be3 31680be4 31680be5 31680be6	Curves in isogeny class
deg	32768	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5-  0 11+  2 -2 -4	Hecke eigenvalues for primes less than 20
L	5.7878689103	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	31680ds 3960d 10560f	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for isogeny class 31680be

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

---

Quadratic twists for isogeny class 31680be

-4	8	-3
31680ds	3960d	10560f

---

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