Cremona's table of elliptic curves

618 = 2 · 3 · 103

Field	Data	Notes
Atkin-Lehner	2+ 3- 103-	Signs for the Atkin-Lehner involutions
Conductor	618	Conductor
Count	2	Number of curves in isogeny class
Curves	618d1 618d2	Curves in isogeny class
deg	720	Modular degree for the optimal curve
Eigenvalues	2+ 3- -3  2 -6 -1  0 -4	Hecke eigenvalues for primes less than 20
L	1.6716285286318	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4944f 19776h 1854i 15450u	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 618d

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
+	-	-3	2	-6	-1	0	-4	3	-6	-7	-10	0	5	6	6	3	-1	-13	-12	-16	14	-9	6	17

---

Quadratic twists for isogeny class 618d

-4	8	-3	5	-7	-11	13	-103
4944f	19776h	1854i	15450u	30282f	74778br	104442bl	63654b

---

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