Cremona's table of elliptic curves

3876 = 2² · 3 · 17 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 17+ 19+	Signs for the Atkin-Lehner involutions
Class	3876b	Isogeny class
Conductor	3876	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	30240	Modular degree for the optimal curve
Δ	-30354682892822784 = -1 · 28 · 33 · 173 · 197	Discriminant
Eigenvalues	2- 3+ -1 -3 -4 -4 17+ 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-29316,8611992]	[a1,a2,a3,a4,a6]
j	-10884605672501584/118572980050089	j-invariant
L	0.31632895049448	L(r)(E,1)/r!
Ω	0.31632895049448	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	15504x1 62016bd1 11628d1 96900z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3876b1

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	-3	-4	-4	+	+	-4	4	-8	10	-2	-8	5	-7	-6	8	9	5	-12	14	-15	9	7

---

Quadratic twists for elliptic curve 3876b1

-4	8	-3	5	17	-19
15504x1	62016bd1	11628d1	96900z1	65892e1	73644j1

---

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