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Properties

Space $M_2\left(K(p)\right)$
Name 2_PY2_389
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)$
$2$ $-1$
$3$ $-2$
$4$ $-2$
$5$ $1$
$7$ $-3$
$9$ $1$
$11$ $4$

Selected Fourier coefficients $c(F)$

\(\det(F)\)\(F\)$c(F)$
7 (4279, 185, 2) $1$
11 (10503, 355, 3) $-1$
16 (26452, 460, 2) $4$
(75077, 1096, 4) $-2$
19 (9725, 441, 5) $-3$
20 (5446, 330, 5) $-5$
(125258, 1226, 3) $5$

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: 4 7 11 16 19 20 24 28 35 36 ... 484 488 491 495 500 503 508 511 516 531

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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