Cremona's table of elliptic curves

976 = 2⁴ · 61

Field	Data	Notes
Atkin-Lehner	2- 61-	Signs for the Atkin-Lehner involutions
Class	976c	Isogeny class
Conductor	976	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	-15616 = -1 · 28 · 61	Discriminant
Eigenvalues	2-  0 -3  3  1  1 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1,-6]	[a1,a2,a3,a4,a6]
Generators	[2:2:1]	Generators of the group modulo torsion
j	432/61	j-invariant
L	2.2379967091819	L(r)(E,1)/r!
Ω	1.8569859777225	Real period
R	1.2051769566546	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	244a1 3904h1 8784z1 24400v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 976c1

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
-	0	-3	3	1	1	-2	-2	-3	-8	0	-2	-3	-8	4	-10	-9	-	-13	12	5	17	-12	-8	-18

---

Quadratic twists for elliptic curve 976c1

-4	8	-3	5	-7	-11	61
244a1	3904h1	8784z1	24400v1	47824f1	118096w1	59536c1

---

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