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Properties

Space $M_2\left(K(p)\right)$
Name 2_PY2_587_plus
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)$
$2$ $-1$
$3$ $0$
$4$ $-3$
$5$ $0$
$7$ $-2$
$9$ $-2$

Selected Fourier coefficients $c(F)$

\(\det(F)\)\(F\)$c(F)$
11 (706161, 2911, 3) $2$
15 (1174, 137, 4) $-1$
(2348, 137, 2) $-1$
19 (20545, 641, 5) $2$
20 (8218, 314, 3) $1$
(36981, 860, 5) $1$
23 (27002, 805, 6) $-3$
(54004, 805, 3) $8$
(198406, 1543, 3) $-3$

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
$c(F)$ available for $\det(F)$ in: 8 11 15 19 20 23 24 32 35 39 ... 500 503 504 508 512 519 520 523 524 528

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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