Space of modular forms of level 2300, weight 2, and Character 2300.u

• Label: 2300.2.u
• Level: $2300$
• Weight: $2$
• Character orbit: 2300.u
• Rep. character: $\chi_{2300}(101,\cdot)$
• Character field: $\Q(\zeta_{11})$
• Dimension: $380$
• Sturm bound: $720$

Defining parameters

Level:	\( N \)	\(=\)	\( 2300 = 2^{2} \cdot 5^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2300.u (of order \(11\) and degree \(10\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 23 \)
Character field:			\(\Q(\zeta_{11})\)
Sturm bound:			\(720\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2300, [\chi])\).

	Total	New	Old
Modular forms	3780	380	3400
Cusp forms	3420	380	3040
Eisenstein series	360	0	360

Trace form

380 * q - 2 * q^3 - 2 * q^7 - 36 * q^9 + 6 * q^11 - 2 * q^13 - 13 * q^17 - 7 * q^19 - 23 * q^21 + 28 * q^23 - 23 * q^27 - 5 * q^29 - 13 * q^31 + 5 * q^33 - 50 * q^37 - 42 * q^39 + 24 * q^41 + 24 * q^43 - 50 * q^47 - 116 * q^49 + 38 * q^51 + 14 * q^53 - 53 * q^57 + 26 * q^59 + 40 * q^61 - 59 * q^63 - 8 * q^67 - 157 * q^69 - 131 * q^71 - 32 * q^73 - 35 * q^77 + 50 * q^79 + 10 * q^81 + 11 * q^83 + 64 * q^87 + 46 * q^89 - 30 * q^91 + 10 * q^93 + 41 * q^97 + 201 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2300, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2300, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2300, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(23, [\chi])\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(46, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(92, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(115, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(230, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(460, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(575, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1150, [\chi])\)\(^{\oplus 2}\)