Cremona's table of elliptic curves

1776 = 2⁴ · 3 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 37-	Signs for the Atkin-Lehner involutions
Class	1776c	Isogeny class
Conductor	1776	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	6905088 = 28 · 36 · 37	Discriminant
Eigenvalues	2+ 3-  0  0  0 -6 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-188,924]	[a1,a2,a3,a4,a6]
Generators	[-2:36:1]	Generators of the group modulo torsion
j	2885794000/26973	j-invariant
L	3.3132323801941	L(r)(E,1)/r!
Ω	2.3751815274759	Real period
R	0.46497953129995	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	888c2 7104l2 5328d2 44400b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1776c2

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
+	-	0	0	0	-6	-4	-4	-6	-8	4	-	10	8	8	-6	-2	-10	12	8	-10	-8	-8	16	6

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Quadratic twists for elliptic curve 1776c2

-4	8	-3	5	-7	37
888c2	7104l2	5328d2	44400b2	87024n2	65712g2

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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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