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Properties

Label 1960.2.ch
Level $1960$
Weight $2$
Character orbit 1960.ch
Rep. character $\chi_{1960}(169,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $504$
Sturm bound $672$

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Defining parameters

Level: \( N \) \(=\) \( 1960 = 2^{3} \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1960.ch (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 245 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1960, [\chi])\).

Total New Old
Modular forms 2064 504 1560
Cusp forms 1968 504 1464
Eisenstein series 96 0 96

Trace form

\( 504 q + 94 q^{9} + O(q^{10}) \) \( 504 q + 94 q^{9} + 4 q^{11} - 10 q^{15} + 68 q^{19} - 4 q^{21} + 12 q^{25} - 30 q^{29} - 8 q^{31} + 8 q^{35} - 24 q^{41} - 40 q^{45} - 12 q^{49} - 24 q^{51} + 56 q^{55} - 10 q^{59} + 12 q^{65} + 24 q^{69} - 104 q^{75} + 80 q^{79} - 42 q^{81} + 28 q^{85} + 48 q^{89} - 98 q^{91} + 76 q^{95} - 20 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1960, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1960, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1960, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(245, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(490, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(980, [\chi])\)\(^{\oplus 2}\)