Space of modular forms of level 1452, weight 2, and Character 1452.q

• Label: 1452.2.q
• Level: $1452$
• Weight: $2$
• Character orbit: 1452.q
• Rep. character: $\chi_{1452}(133,\cdot)$
• Character field: $\Q(\zeta_{11})$
• Dimension: $220$
• Sturm bound: $528$

Defining parameters

Level:	\( N \)	\(=\)	\( 1452 = 2^{2} \cdot 3 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1452.q (of order \(11\) and degree \(10\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 121 \)
Character field:			\(\Q(\zeta_{11})\)
Sturm bound:			\(528\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1452, [\chi])\).

	Total	New	Old
Modular forms	2700	220	2480
Cusp forms	2580	220	2360
Eisenstein series	120	0	120

Trace form

220 * q - 4 * q^5 + 220 * q^9 + 22 * q^11 + 40 * q^13 + 8 * q^19 + 4 * q^21 + 4 * q^23 - 18 * q^25 + 8 * q^29 + 26 * q^31 - 2 * q^33 + 58 * q^37 + 8 * q^39 - 8 * q^41 - 8 * q^43 - 4 * q^45 + 8 * q^47 + 30 * q^49 - 8 * q^51 - 52 * q^53 - 44 * q^55 + 4 * q^57 + 4 * q^59 + 4 * q^61 + 58 * q^65 + 90 * q^67 - 12 * q^69 - 100 * q^71 + 10 * q^73 - 8 * q^75 + 4 * q^77 + 220 * q^81 - 32 * q^83 + 88 * q^85 + 8 * q^87 - 60 * q^89 + 50 * q^91 + 16 * q^93 + 16 * q^95 + 70 * q^97 + 22 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1452, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1452, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1452, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(121, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(242, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(363, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(484, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(726, [\chi])\)\(^{\oplus 2}\)