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	6300v	Isogeny class
Conductor	6300	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2016	Modular degree for the optimal curve
Δ	-163296000 = -1 · 28 · 36 · 53 · 7	Discriminant
Eigenvalues	2- 3- 5- 7+ -3 -1 -5 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-360,-2700]	[a1,a2,a3,a4,a6]
j	-221184/7	j-invariant
L	1.0939949073997	L(r)(E,1)/r!
Ω	0.54699745369983	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	25200fq1 100800gw1 700g1 6300bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6300v1

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	-5	-8	2	1	-2	-10	6	4	11	6	10	0	10	0	10	-7	12	-8	-3

---

Quadratic twists for elliptic curve 6300v1

-4	8	-3	5	-7
25200fq1	100800gw1	700g1	6300bc1	44100dh1

---

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