Cremona's table of elliptic curves

74529 = 3² · 7² · 13²

Field	Data	Notes
Atkin-Lehner	3- 7- 13+	Signs for the Atkin-Lehner involutions
Conductor	74529	Conductor
Count	6	Number of curves in isogeny class
Curves	74529bc1 74529bc2 74529bc3 74529bc4 74529bc5 74529bc6	Curves in isogeny class
deg	442368	Modular degree for the optimal curve
Eigenvalues	-1 3-  2 7-  4 13+ -6  4	Hecke eigenvalues for primes less than 20
L	4.7872718890304	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	24843d 10647f 441c	Quadratic twists by: -3 -7 13

Hecke Eigenvalues for isogeny class 74529bc

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	-	4	+	-6	4	0	2	0	-6	-2	-4	0	-6	-12	2	-4	0	-6	-16	12	14	18

---

Quadratic twists for isogeny class 74529bc

-3	-7	13
24843d	10647f	441c

---

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