Cremona's table of elliptic curves

319 = 11 · 29

Field	Data	Notes
Atkin-Lehner	11+ 29-	Signs for the Atkin-Lehner involutions
Conductor	319	Conductor
Count	1	Number of curves in isogeny class
Curves	319a1	Curves in isogeny class
deg	92	Modular degree for the optimal curve
Eigenvalues	2 -3  1  4 11+  6  4 -2	Hecke eigenvalues for primes less than 20
L	1.9355577615007	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5104b 20416c 2871d 7975b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 319a

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
2	-3	1	4	+	6	4	-2	3	-	-7	-11	4	-4	8	2	-3	2	-15	-7	2	6	-6	9	-17

---

Quadratic twists for isogeny class 319a

-4	8	-3	5	-7	-11	13	17	-19	29
5104b	20416c	2871d	7975b	15631d	3509c	53911f	92191b	115159a	9251d

---

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