Cremona's table of elliptic curves

342 = 2 · 3² · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 19+	Signs for the Atkin-Lehner involutions
Conductor	342	Conductor
Count	4	Number of curves in isogeny class
Curves	342f1 342f2 342f3 342f4	Curves in isogeny class
deg	480	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2  0  4  2  6 19+	Hecke eigenvalues for primes less than 20
L	0.91932346865948	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2736v 10944bg 114c 8550w	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 342f

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
+	-	-2	0	4	2	6	+	4	2	4	10	-10	4	4	10	-12	14	-12	-8	-6	-4	-12	6	10

---

Quadratic twists for isogeny class 342f

-4	8	-3	5	-7	-11	13	17	-19
2736v	10944bg	114c	8550w	16758n	41382cm	57798bm	98838i	6498w

---

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