Cremona's table of elliptic curves

127449 = 3² · 7² · 17²

Field	Data	Notes
Atkin-Lehner	3- 7- 17+	Signs for the Atkin-Lehner involutions
Conductor	127449	Conductor
Count	4	Number of curves in isogeny class
Curves	127449bh1 127449bh2 127449bh3 127449bh4	Curves in isogeny class
deg	663552	Modular degree for the optimal curve
Eigenvalues	1 3-  2 7-  0  2 17+  4	Hecke eigenvalues for primes less than 20
L	10.859490072552	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	14161b 2601j 7497o	Quadratic twists by: -3 -7 17

Hecke Eigenvalues for isogeny class 127449bh

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	-	2	-	0	2	+	4	4	6	4	2	6	4	0	-6	-12	-10	4	-4	-6	-12	-4	10	2

---

Quadratic twists for isogeny class 127449bh

-3	-7	17
14161b	2601j	7497o

---

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