Cremona's table of elliptic curves

2405 = 5 · 13 · 37

Field	Data	Notes
Atkin-Lehner	5- 13- 37-	Signs for the Atkin-Lehner involutions
Conductor	2405	Conductor
Count	4	Number of curves in isogeny class
Curves	2405d1 2405d2 2405d3 2405d4	Curves in isogeny class
deg	608	Modular degree for the optimal curve
Eigenvalues	-1  0 5-  4  4 13-  2  8	Hecke eigenvalues for primes less than 20
L	1.5566575409858	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	38480w 21645j 12025b 117845f	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 2405d

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	0	-	4	4	-	2	8	0	6	-4	-	-6	-12	12	-2	0	6	0	-8	2	4	-16	-14	2

---

Quadratic twists for isogeny class 2405d

-4	-3	5	-7	13	37
38480w	21645j	12025b	117845f	31265b	88985a

---

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