Space of modular forms of level 2025, weight 2, and Character 2025.be

• Label: 2025.2.be
• Level: $2025$
• Weight: $2$
• Character orbit: 2025.be
• Rep. character: $\chi_{2025}(49,\cdot)$
• Character field: $\Q(\zeta_{54})$
• Dimension: $2880$
• Sturm bound: $540$

Defining parameters

Level:	\( N \)	\(=\)	\( 2025 = 3^{4} \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2025.be (of order \(54\) and degree \(18\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 405 \)
Character field:			\(\Q(\zeta_{54})\)
Sturm bound:			\(540\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2025, [\chi])\).

	Total	New	Old
Modular forms	4968	2952	2016
Cusp forms	4752	2880	1872
Eisenstein series	216	72	144

Trace form

2880 * q + 36 * q^4 - 36 * q^6 + 36 * q^9 - 36 * q^11 + 36 * q^14 - 36 * q^16 + 36 * q^19 + 18 * q^21 + 36 * q^24 + 90 * q^26 + 36 * q^29 - 36 * q^31 + 36 * q^34 + 36 * q^36 + 36 * q^39 - 72 * q^41 + 180 * q^44 - 36 * q^46 + 36 * q^49 + 18 * q^51 + 288 * q^54 - 252 * q^56 - 18 * q^59 - 36 * q^61 + 36 * q^64 - 180 * q^66 - 72 * q^69 - 36 * q^71 - 252 * q^74 - 36 * q^76 + 144 * q^79 - 36 * q^81 - 522 * q^84 - 36 * q^86 + 216 * q^89 - 36 * q^91 + 144 * q^94 - 36 * q^96 - 36 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2025, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2025, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2025, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(405, [\chi])\)\(^{\oplus 2}\)