Cremona's table of elliptic curves

6300 = 2² · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	6300be	Isogeny class
Conductor	6300	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	9.37852533135E+19	Discriminant
Eigenvalues	2- 3- 5- 7-  4 -6 -2  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-12993375,18021293750]	[a1,a2,a3,a4,a6]
Generators	[2134:3402:1]	Generators of the group modulo torsion
j	665567485783184/257298363	j-invariant
L	4.2181621860289	L(r)(E,1)/r!
Ω	0.18687497570606	Real period
R	1.8810090231413	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	25200fg2 100800ij2 2100i2 6300w2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6300be2

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
-	-	-	-	4	-6	-2	6	-2	-6	-2	-4	-8	-4	-4	-6	-4	14	4	0	-10	0	16	-8	10

---

Quadratic twists for elliptic curve 6300be2

-4	8	-3	5	-7
25200fg2	100800ij2	2100i2	6300w2	44100dm2

---

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