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	3030s	Isogeny class
Conductor	3030	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	432	Modular degree for the optimal curve
Δ	-109080 = -1 · 23 · 33 · 5 · 101	Discriminant
Eigenvalues	2- 3- 5+ -1 -6 -1 -3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-71,225]	[a1,a2,a3,a4,a6]
Generators	[0:15:1]	Generators of the group modulo torsion
j	-39616946929/109080	j-invariant
L	5.0983331081262	L(r)(E,1)/r!
Ω	3.3509818824398	Real period
R	1.521444545804	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	24240s1 96960t1 9090l1 15150b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3030s1

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
-	-	+	-1	-6	-1	-3	2	0	0	-1	2	-6	-1	-9	-9	0	-7	-10	-12	-1	5	9	-3	8

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Quadratic twists for elliptic curve 3030s1

-4	8	-3	5
24240s1	96960t1	9090l1	15150b1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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