Cremona's table of elliptic curves

404 = 2² · 101

Field	Data	Notes
Atkin-Lehner	2- 101+	Signs for the Atkin-Lehner involutions
Conductor	404	Conductor
Count	2	Number of curves in isogeny class
Curves	404b1 404b2	Curves in isogeny class
deg	68	Modular degree for the optimal curve
Eigenvalues	2- -2  3  2 -6  5  3  5	Hecke eigenvalues for primes less than 20
L	1.2437628268126	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1616d 6464h 3636c 10100c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 404b

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	2	-6	5	3	5	3	0	5	-10	12	8	-3	-6	-6	8	-10	-9	-4	5	-12	6	2

---

Quadratic twists for isogeny class 404b

-4	8	-3	5	-7	-11	13	17	101
1616d	6464h	3636c	10100c	19796c	48884d	68276b	116756a	40804b

---

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