Cremona's table of elliptic curves

1411 = 17 · 83

Field	Data	Notes
Atkin-Lehner	17+ 83+	Signs for the Atkin-Lehner involutions
Conductor	1411	Conductor
Count	1	Number of curves in isogeny class
Curves	1411a1	Curves in isogeny class
deg	76	Modular degree for the optimal curve
Eigenvalues	0 -2 -3  4 -4  4 17+  2	Hecke eigenvalues for primes less than 20
L	1.50896605111	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	22576e 90304f 12699a 35275d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1411a

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	-3	4	-4	4	+	2	4	4	0	-8	2	-6	-6	-6	-15	12	2	3	6	4	+	-12	-7

---

Quadratic twists for isogeny class 1411a

-4	8	-3	5	-7	17	-83
22576e	90304f	12699a	35275d	69139a	23987a	117113a

---

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