Cremona's table of elliptic curves

423 = 3² · 47

Field	Data	Notes
Atkin-Lehner	3- 47+	Signs for the Atkin-Lehner involutions
Conductor	423	Conductor
Count	2	Number of curves in isogeny class
Curves	423b1 423b2	Curves in isogeny class
deg	96	Modular degree for the optimal curve
Eigenvalues	1 3-  0  4  0  6  6  2	Hecke eigenvalues for primes less than 20
L	1.96708148744	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	6768r 27072j 141b 10575o	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 423b

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	0	6	6	2	-4	-8	6	-6	8	-6	+	-2	-12	2	-2	0	-10	-4	-4	10	-18

---

Quadratic twists for isogeny class 423b

-4	8	-3	5	-7	-11	13	17	-47
6768r	27072j	141b	10575o	20727o	51183c	71487o	122247g	19881j

---

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