Cremona's table of elliptic curves

3030 = 2 · 3 · 5 · 101

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 101-	Signs for the Atkin-Lehner involutions
Class	3030i	Isogeny class
Conductor	3030	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	3600	Modular degree for the optimal curve
Δ	-196344000 = -1 · 26 · 35 · 53 · 101	Discriminant
Eigenvalues	2+ 3- 5+  3 -5  0 -1  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-7554,252052]	[a1,a2,a3,a4,a6]
Generators	[53:-63:1]	Generators of the group modulo torsion
j	-47661971896666009/196344000	j-invariant
L	2.9492802168395	L(r)(E,1)/r!
Ω	1.5736532434593	Real period
R	0.18741614323854	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	24240x1 96960o1 9090z1 15150be1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3030i1

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	-5	0	-1	1	-5	-6	1	-8	9	4	-13	2	-4	-14	1	6	-11	-5	-4	7	2

---

Quadratic twists for elliptic curve 3030i1

-4	8	-3	5
24240x1	96960o1	9090z1	15150be1

---

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