Cremona's table of elliptic curves

1311 = 3 · 19 · 23

Field	Data	Notes
Atkin-Lehner	3+ 19+ 23-	Signs for the Atkin-Lehner involutions
Conductor	1311	Conductor
Count	6	Number of curves in isogeny class
Curves	1311a1 1311a2 1311a3 1311a4 1311a5 1311a6	Curves in isogeny class
deg	780	Modular degree for the optimal curve
Eigenvalues	-1 3+ -2  0 -4 -2 -6 19+	Hecke eigenvalues for primes less than 20
L	0.27407827464521	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	20976j 83904p 3933a 32775t	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1311a

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

---

Quadratic twists for isogeny class 1311a

-4	8	-3	5	-7	-19	-23
20976j	83904p	3933a	32775t	64239o	24909m	30153c

---

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