Cremona's table of elliptic curves

3150 = 2 · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	3150br	Isogeny class
Conductor	3150	Conductor
∏ cp	324	Product of Tamagawa factors cp
Δ	-240045120000 = -1 · 29 · 37 · 54 · 73	Discriminant
Eigenvalues	2- 3- 5- 7- -6 -1 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-3155,72947]	[a1,a2,a3,a4,a6]
Generators	[-51:340:1]	Generators of the group modulo torsion
j	-7620530425/526848	j-invariant
L	4.8360826453698	L(r)(E,1)/r!
Ω	0.97235150404184	Real period
R	0.13815541856998	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	25200fh2 100800il2 1050j2 3150m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3150br2

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
-	-	-	-	-6	-1	-3	-4	3	-3	5	-10	-9	-1	0	-9	-9	11	-4	12	-10	-10	-9	6	14

---

Quadratic twists for elliptic curve 3150br2

-4	8	-3	5	-7
25200fh2	100800il2	1050j2	3150m2	22050fu2

---

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