Cremona's table of elliptic curves

3016 = 2³ · 13 · 29

Field	Data	Notes
Atkin-Lehner	2+ 13- 29-	Signs for the Atkin-Lehner involutions
Class	3016c	Isogeny class
Conductor	3016	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	448	Modular degree for the optimal curve
Δ	96512 = 28 · 13 · 29	Discriminant
Eigenvalues	2+  2 -2  2 -4 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-124,-492]	[a1,a2,a3,a4,a6]
Generators	[1866:15184:27]	Generators of the group modulo torsion
j	830321872/377	j-invariant
L	4.1637806467477	L(r)(E,1)/r!
Ω	1.429764451937	Real period
R	5.8244288296676	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6032c1 24128d1 27144m1 75400q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3016c1

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	-2	2	-4	-	-6	0	4	-	-4	2	6	-2	-12	-6	6	-10	-2	-14	10	-10	-6	6	-2

---

Quadratic twists for elliptic curve 3016c1

-4	8	-3	5	13	29
6032c1	24128d1	27144m1	75400q1	39208g1	87464e1

---

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