Cremona's table of elliptic curves

4641 = 3 · 7 · 13 · 17

Field	Data	Notes
Atkin-Lehner	3+ 7+ 13- 17-	Signs for the Atkin-Lehner involutions
Conductor	4641	Conductor
Count	4	Number of curves in isogeny class
Curves	4641a1 4641a2 4641a3 4641a4	Curves in isogeny class
deg	1280	Modular degree for the optimal curve
Eigenvalues	-1 3+  2 7+  4 13- 17-  4	Hecke eigenvalues for primes less than 20
L	2.3701611465513	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	74256dc 13923g 116025bf 32487n	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 4641a

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

---

Quadratic twists for isogeny class 4641a

-4	-3	5	-7	13	17
74256dc	13923g	116025bf	32487n	60333e	78897m

---

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