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Properties

Label 1502.2.l
Level $1502$
Weight $2$
Character orbit 1502.l
Rep. character $\chi_{1502}(43,\cdot)$
Character field $\Q(\zeta_{125})$
Dimension $6400$
Sturm bound $376$

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Defining parameters

Level: \( N \) \(=\) \( 1502 = 2 \cdot 751 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1502.l (of order \(125\) and degree \(100\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 751 \)
Character field: \(\Q(\zeta_{125})\)
Sturm bound: \(376\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1502, [\chi])\).

Total New Old
Modular forms 19000 6400 12600
Cusp forms 18600 6400 12200
Eisenstein series 400 0 400

Trace form

\( 6400 q + O(q^{10}) \) \( 6400 q - 100 q^{13} - 100 q^{15} - 200 q^{31} - 100 q^{39} + 400 q^{42} - 100 q^{50} - 100 q^{51} + 400 q^{53} - 150 q^{57} - 50 q^{60} - 200 q^{63} - 200 q^{67} - 400 q^{71} + 400 q^{73} + 400 q^{74} - 200 q^{77} - 100 q^{78} - 200 q^{79} - 350 q^{83} - 150 q^{85} - 100 q^{89} - 150 q^{92} - 100 q^{93} - 100 q^{97} - 100 q^{98} - 700 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1502, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1502, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1502, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(751, [\chi])\)\(^{\oplus 2}\)