Cremona's table of elliptic curves

3718 = 2 · 11 · 13²

Field	Data	Notes
Atkin-Lehner	2- 11+ 13+	Signs for the Atkin-Lehner involutions
Conductor	3718	Conductor
Count	2	Number of curves in isogeny class
Curves	3718o1 3718o2	Curves in isogeny class
deg	9984	Modular degree for the optimal curve
Eigenvalues	2- -2  3  2 11+ 13+ -3  2	Hecke eigenvalues for primes less than 20
L	2.8147225836202	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	29744bd 118976bk 33462bk 92950e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3718o

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	3	2	+	+	-3	2	0	-3	8	11	9	-4	-6	3	6	-7	14	12	-7	-10	6	6	-10

---

Quadratic twists for isogeny class 3718o

-4	8	-3	5	-11	13
29744bd	118976bk	33462bk	92950e	40898t	3718k

---

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