Space of modular forms of level 2128, weight 2, and Character 2128.fd

• Label: 2128.2.fd
• Level: $2128$
• Weight: $2$
• Character orbit: 2128.fd
• Rep. character: $\chi_{2128}(97,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $468$
• Sturm bound: $640$

Defining parameters

Level:	\( N \)	\(=\)	\( 2128 = 2^{4} \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2128.fd (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 133 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(640\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2128, [\chi])\).

	Total	New	Old
Modular forms	1992	492	1500
Cusp forms	1848	468	1380
Eisenstein series	144	24	120

Trace form

468 * q + 3 * q^7 - 12 * q^9 + 6 * q^11 + 12 * q^15 - 15 * q^21 + 12 * q^23 - 12 * q^25 - 12 * q^29 + 21 * q^35 + 24 * q^39 - 36 * q^43 - 3 * q^49 + 12 * q^51 + 12 * q^53 - 12 * q^57 - 117 * q^63 - 90 * q^65 + 24 * q^67 + 12 * q^71 + 30 * q^77 + 180 * q^79 + 6 * q^81 + 12 * q^85 - 21 * q^91 + 6 * q^93 - 96 * q^95 - 42 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2128, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2128, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2128, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(133, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(266, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(532, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1064, [\chi])\)\(^{\oplus 2}\)