Cremona's table of elliptic curves

3822 = 2 · 3 · 7² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 13-	Signs for the Atkin-Lehner involutions
Conductor	3822	Conductor
Count	1	Number of curves in isogeny class
Curves	3822z1	Curves in isogeny class
deg	64512	Modular degree for the optimal curve
Eigenvalues	2- 3+  4 7- -1 13- -3  1	Hecke eigenvalues for primes less than 20
L	3.6893216261974	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	30576df 122304dx 11466bg 95550dn	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3822z

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	-	-1	-	-3	1	6	-9	8	-8	0	10	11	1	5	15	-5	-15	-2	-2	8	0	-10

---

Quadratic twists for isogeny class 3822z

-4	8	-3	5	-7	13
30576df	122304dx	11466bg	95550dn	3822bb	49686s

---

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