LMFDB - Space of modular forms of level 108, weight 2, and trivial character

Defining parameters

The following table gives the dimensions of various subspaces of $M_{2}(\Gamma_0(108))$.

The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.

$2$	$3$	Fricke	Dim.
$-$	$+$	$-$	$1$
Plus space		$+$	$0$
Minus space		$-$	$1$

Label	Dim.	$A$	Field	CM	Traces					A-L signs		$q$-expansion
Label	Dim.	$A$	Field	CM	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	$q$-expansion
108.2.a.a	$1$	$0.862$	$\Q$	$\Q(\sqrt{-3}) $	$0$	$0$	$0$	$5$		$-$	$+$	$q+5q^{7}-7q^{13}-q^{19}-5q^{25}-4q^{31}+\cdots$

$ S_{2}^{\mathrm{old}}(\Gamma_0(108)) \cong $ $S_{2}^{\mathrm{new}}(\Gamma_0(27))$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_0(36))$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(\Gamma_0(54))$$^{\oplus 2}$

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

\(2\)	\(3\)	Fricke	Dim.
\(-\)	\(+\)	\(-\)	\(1\)
Plus space		\(+\)	\(0\)
Minus space		\(-\)	\(1\)

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs		$q$-expansion
Label	Dim.	\(A\)	Field	CM	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	$q$-expansion
108.2.a.a	$1$	$0.862$	\(\Q\)	\(\Q(\sqrt{-3}) \)	\(0\)	\(0\)	\(0\)	\(5\)		$-$	$+$	\(q+5q^{7}-7q^{13}-q^{19}-5q^{25}-4q^{31}+\cdots\)