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Properties

Space $M_2\left(K(p)\right)$
Name 2_PY2_277
Type cusp form
not Gritsenko lift
Weight $2$
Hecke eigenform yes
Field degree $1$

Basic properties

Space: $M_2\left(K(p)\right)$
Type: cusp form, not 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)$
$2$ $-2$
$3$ $-1$
$4$ $-1$
$5$ $-1$
$7$ $1$
$9$ $-1$
$11$ $-2$

Selected Fourier coefficients $c(F)$

\(\det(F)\)\(F\)$c(F)$
4 (3601, 120, 1) $-2$
7 (45151, 601, 2) $-1$
12 (27146, 466, 2) $6$
(34348, 642, 3) $-3$
16 (3601, 240, 4) $-5$
(7202, 240, 2) $6$
19 (13573, 521, 5) $-2$

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 4 7 12 16 19 23 27 28 36 ... 2404 2407 2408 2412 2419 2423 2424 2427 2431 2436

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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