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	3876c	Isogeny class
Conductor	3876	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	8352	Modular degree for the optimal curve
Δ	-652620461232 = -1 · 24 · 3 · 172 · 196	Discriminant
Eigenvalues	2- 3+  2  4  6 -6 17+ 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1997,52542]	[a1,a2,a3,a4,a6]
j	-55075110780928/40788778827	j-invariant
L	2.5108515094165	L(r)(E,1)/r!
Ω	0.83695050313883	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15504ba1 62016bj1 11628g1 96900be1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3876c1

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
-	+	2	4	6	-6	+	+	6	8	0	2	-4	8	10	4	0	2	-12	-12	-10	-8	-18	-8	18

---

Quadratic twists for elliptic curve 3876c1

-4	8	-3	5	17	-19
15504ba1	62016bj1	11628g1	96900be1	65892g1	73644l1

---

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