Cremona's table of elliptic curves

9696 = 2⁵ · 3 · 101

Field	Data	Notes
Atkin-Lehner	2- 3+ 101-	Signs for the Atkin-Lehner involutions
Class	9696g	Isogeny class
Conductor	9696	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1120	Modular degree for the optimal curve
Δ	-155136 = -1 · 29 · 3 · 101	Discriminant
Eigenvalues	2- 3+ -3  2  2  4 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-32,84]	[a1,a2,a3,a4,a6]
Generators	[4:2:1]	Generators of the group modulo torsion
j	-7301384/303	j-invariant
L	3.3169775426361	L(r)(E,1)/r!
Ω	3.2168486690548	Real period
R	0.51556319303182	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	9696j1 19392bm1 29088b1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 9696g1

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	2	4	-6	0	0	-4	5	8	-7	0	-12	-6	2	5	7	6	-8	-1	6	-7	19

---

Quadratic twists for elliptic curve 9696g1

-4	8	-3
9696j1	19392bm1	29088b1

---

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