Space of modular forms of level 1444, weight 2, and Character 1444.i

• Label: 1444.2.i
• Level: $1444$
• Weight: $2$
• Character orbit: 1444.i
• Rep. character: $\chi_{1444}(245,\cdot)$
• Character field: $\Q(\zeta_{9})$
• Dimension: $168$
• Sturm bound: $380$

Defining parameters

Level:	\( N \)	\(=\)	\( 1444 = 2^{2} \cdot 19^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1444.i (of order \(9\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 19 \)
Character field:			\(\Q(\zeta_{9})\)
Sturm bound:			\(380\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1444, [\chi])\).

	Total	New	Old
Modular forms	1320	168	1152
Cusp forms	960	168	792
Eisenstein series	360	0	360

Trace form

168 * q + 3 * q^3 - 6 * q^7 + 3 * q^9 - 6 * q^11 + 9 * q^13 + 15 * q^15 + 3 * q^17 + 15 * q^21 + 12 * q^23 + 18 * q^25 + 9 * q^27 - 27 * q^29 - 6 * q^31 - 48 * q^33 - 33 * q^35 + 12 * q^37 - 96 * q^39 - 3 * q^41 - 27 * q^43 - 39 * q^45 + 15 * q^47 - 114 * q^49 + 33 * q^51 + 21 * q^53 + 27 * q^55 + 48 * q^59 + 6 * q^61 + 9 * q^63 + 33 * q^65 - 24 * q^67 + 33 * q^69 - 30 * q^73 - 42 * q^75 - 30 * q^77 - 3 * q^79 - 3 * q^81 - 9 * q^83 + 42 * q^85 + 24 * q^87 + 18 * q^89 + 24 * q^91 + 78 * q^93 - 12 * q^97 + 6 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1444, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(1444, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1444, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(19, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(38, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(76, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(361, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(722, [\chi])\)\(^{\oplus 2}\)