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Properties

Label 3015.2.bv
Level $3015$
Weight $2$
Character orbit 3015.bv
Rep. character $\chi_{3015}(833,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1616$
Sturm bound $816$

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Defining parameters

Level: \( N \) \(=\) \( 3015 = 3^{2} \cdot 5 \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3015.bv (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3015 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(816\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3015, [\chi])\).

Total New Old
Modular forms 1648 1648 0
Cusp forms 1616 1616 0
Eisenstein series 32 32 0

Trace form

\( 1616 q - 12 q^{3} - 12 q^{5} + 2 q^{7} + O(q^{10}) \) \( 1616 q - 12 q^{3} - 12 q^{5} + 2 q^{7} - 4 q^{10} - 12 q^{11} + 36 q^{12} + 2 q^{13} - 1576 q^{16} - 6 q^{18} + 18 q^{20} - 8 q^{21} + 4 q^{22} - 6 q^{23} - 10 q^{25} - 48 q^{26} + 24 q^{27} + 16 q^{28} - 42 q^{30} - 8 q^{31} - 10 q^{33} + 32 q^{36} + 2 q^{37} - 30 q^{38} - 12 q^{40} - 12 q^{42} - 4 q^{43} + 48 q^{45} + 4 q^{46} - 12 q^{47} + 98 q^{48} - 54 q^{50} - 52 q^{51} + 8 q^{52} - 8 q^{55} - 48 q^{56} - 12 q^{58} + 66 q^{60} - 56 q^{61} - 58 q^{63} - 48 q^{66} - 14 q^{67} + 12 q^{68} + 36 q^{70} + 120 q^{71} - 140 q^{72} - 4 q^{73} - 22 q^{75} - 24 q^{76} - 150 q^{77} + 64 q^{78} + 18 q^{80} + 52 q^{81} - 8 q^{82} + 2 q^{85} + 168 q^{86} - 14 q^{87} - 6 q^{88} - 18 q^{90} - 32 q^{91} + 2 q^{93} + 24 q^{95} - 76 q^{96} + 8 q^{97} - 66 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(3015, [\chi])\) into newform subspaces

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