Cremona's table of elliptic curves

2115 = 3² · 5 · 47

Field	Data	Notes
Atkin-Lehner	3- 5- 47-	Signs for the Atkin-Lehner involutions
Conductor	2115	Conductor
Count	2	Number of curves in isogeny class
Curves	2115k1 2115k2	Curves in isogeny class
deg	704	Modular degree for the optimal curve
Eigenvalues	0 3- 5-  2  6  5 -6  2	Hecke eigenvalues for primes less than 20
L	1.9213961034341	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	33840ck 705c 10575f 103635m	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 2115k

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	6	5	-6	2	-9	6	2	-4	0	11	-	-6	-9	-1	-4	15	11	11	0	3	2

---

Quadratic twists for isogeny class 2115k

-4	-3	5	-7	-47
33840ck	705c	10575f	103635m	99405d

---

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