Cremona's table of elliptic curves

861 = 3 · 7 · 41

Field	Data	Notes
Atkin-Lehner	3- 7+ 41-	Signs for the Atkin-Lehner involutions
Conductor	861	Conductor
Count	1	Number of curves in isogeny class
Curves	861b1	Curves in isogeny class
deg	1632	Modular degree for the optimal curve
Eigenvalues	1 3- -1 7+ -6  3 -6  6	Hecke eigenvalues for primes less than 20
L	2.9817201837828	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	13776i 55104e 2583d 21525l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 861b

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	-	-1	+	-6	3	-6	6	-9	5	-8	-7	-	2	3	9	-12	6	13	-6	4	-11	2	-4	-9

---

Quadratic twists for isogeny class 861b

-4	8	-3	5	-7	-11	41
13776i	55104e	2583d	21525l	6027a	104181t	35301c

---

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