Cremona's table of elliptic curves

46800 = 2⁴ · 3² · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	46800dg	Isogeny class
Conductor	46800	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	18432	Modular degree for the optimal curve
Δ	-4912876800 = -1 · 28 · 310 · 52 · 13	Discriminant
Eigenvalues	2- 3- 5+  3  1 13+  3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-615,6770]	[a1,a2,a3,a4,a6]
Generators	[-26:72:1]	Generators of the group modulo torsion
j	-5513680/1053	j-invariant
L	6.9412041816981	L(r)(E,1)/r!
Ω	1.3124816915813	Real period
R	2.6443051458227	Regulator
r	1	Rank of the group of rational points
S	1.0000000000007	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11700l1 15600bc1 46800fl1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 46800dg1

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	1	+	3	-4	-2	-3	5	-2	0	-2	-9	5	7	-11	-3	-8	-2	10	3	8	6

---

Quadratic twists for elliptic curve 46800dg1

-4	-3	5
11700l1	15600bc1	46800fl1

---

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