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Properties

Space $M_2\left(K(p)\right)$
Name 2_PY2_523
Type cusp form
conjecturally non Gritsenko lift
Weight $2$
Hecke eigenform yes
Field degree $1$

Basic properties

Space: $M_2\left(K(p)\right)$
Type: cusp form, conjecturally non Gritsenko lift
Weight: 2
Hecke eigenform: yes
Integral Fourier coefficients: unknown

Coefficient field

Field: \(\Q\)
Degree: 1
Field generator:$a$

Selected eigenvalues $\lambda(l)$ of $T(l)$

$l$$\lambda(l)$
$2$ $-1$
$3$ $0$
$4$ $-2$
$5$ $-4$
$7$ $2$
$9$ $-1$
$11$ $2$

Selected Fourier coefficients $c(F)$

\(\det(F)\)\(F\)$c(F)$
8 (1569, 112, 2) $-2$
12 (7322, 242, 2) $3$
(53869, 804, 3) $-1$
20 (3138, 194, 3) $1$
(76881, 1240, 5) $1$
27 (10983, 363, 3) $3$
(437751, 3501, 7) $2$
32 (1569, 224, 8) $-2$
(3138, 224, 4) $4$
(4184, 224, 3) $-2$

Select different $\lambda(l)$ and $c(F)$ to display or specify a modulus $\mathfrak{m}$ to reduce them by

$\lambda(l)$ available for $l$ in: 2 3 4 5 7 9 11
$c(F)$ available for $\det(F)$ in: 3 8 12 20 27 32 35 39 47 48 ... 392 411 412 424 431 432 455 463 495 507

List or range of $l$: e.g. 2, or 2,3,5,8, or 2..10
List or range of $\det(F):$ e.g. 3 or 3 7 41
Reduction modulus $\mathfrak{m}$: e.g. 17 or 3*a+14 or 3,a+1
(for best results, specify an ideal of prime norm)

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