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Properties

Label 1449.2.cj
Level $1449$
Weight $2$
Character orbit 1449.cj
Rep. character $\chi_{1449}(26,\cdot)$
Character field $\Q(\zeta_{66})$
Dimension $1280$
Sturm bound $384$

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Defining parameters

Level: \( N \) \(=\) \( 1449 = 3^{2} \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1449.cj (of order \(66\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 483 \)
Character field: \(\Q(\zeta_{66})\)
Sturm bound: \(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1449, [\chi])\).

Total New Old
Modular forms 4000 1280 2720
Cusp forms 3680 1280 2400
Eisenstein series 320 0 320

Trace form

\( 1280 q - 64 q^{4} + O(q^{10}) \) \( 1280 q - 64 q^{4} + 56 q^{16} - 16 q^{22} + 48 q^{25} + 64 q^{28} - 88 q^{37} - 120 q^{40} + 160 q^{43} - 16 q^{46} - 8 q^{49} - 60 q^{58} + 96 q^{64} + 32 q^{67} - 216 q^{70} + 24 q^{73} - 56 q^{79} + 72 q^{82} - 64 q^{85} - 88 q^{88} - 8 q^{91} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1449, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1449, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1449, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(483, [\chi])\)\(^{\oplus 2}\)