Cremona's table of elliptic curves

9300 = 2² · 3 · 5² · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 31+	Signs for the Atkin-Lehner involutions
Class	9300k	Isogeny class
Conductor	9300	Conductor
∏ cp	15	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	48211200 = 28 · 35 · 52 · 31	Discriminant
Eigenvalues	2- 3- 5+ -4  3  2  3 -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-93,63]	[a1,a2,a3,a4,a6]
Generators	[-3:18:1]	Generators of the group modulo torsion
j	14049280/7533	j-invariant
L	4.8743835777803	L(r)(E,1)/r!
Ω	1.7581157928139	Real period
R	0.18483361932905	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	37200cb1 27900g1 9300h1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 9300k1

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	3	2	3	-3	-3	-7	+	-10	-2	10	10	-1	-10	6	-5	-6	14	-16	9	-17	13

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Quadratic twists for elliptic curve 9300k1

-4	-3	5
37200cb1	27900g1	9300h1

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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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