↑

Properties

Label 2205.2.ea
Level $2205$
Weight $2$
Character orbit 2205.ea
Rep. character $\chi_{2205}(157,\cdot)$
Character field $\Q(\zeta_{84})$
Dimension $7968$
Sturm bound $672$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2205 = 3^{2} \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2205.ea (of order \(84\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2205 \)
Character field: \(\Q(\zeta_{84})\)
Sturm bound: \(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2205, [\chi])\).

Total New Old
Modular forms 8160 8160 0
Cusp forms 7968 7968 0
Eisenstein series 192 192 0

Trace form

\( 7968 q - 16 q^{2} - 22 q^{3} - 14 q^{5} - 28 q^{6} - 12 q^{7} - 48 q^{8} + O(q^{10}) \) \( 7968 q - 16 q^{2} - 22 q^{3} - 14 q^{5} - 28 q^{6} - 12 q^{7} - 48 q^{8} - 44 q^{10} - 20 q^{11} - 22 q^{12} - 14 q^{13} - 26 q^{15} - 672 q^{16} - 26 q^{17} - 4 q^{18} + 34 q^{20} - 20 q^{21} - 2 q^{22} - 10 q^{23} - 10 q^{25} - 88 q^{26} - 64 q^{27} - 60 q^{28} - 10 q^{30} - 72 q^{31} - 24 q^{32} - 52 q^{33} - 12 q^{35} + 4 q^{36} - 52 q^{37} + 42 q^{38} - 14 q^{40} - 16 q^{41} - 130 q^{42} - 10 q^{43} + 72 q^{45} - 260 q^{46} - 8 q^{47} + 18 q^{48} - 40 q^{50} - 52 q^{51} - 14 q^{52} - 212 q^{53} - 56 q^{55} + 60 q^{56} + 24 q^{57} - 54 q^{58} - 22 q^{60} + 20 q^{61} - 28 q^{62} - 82 q^{63} - 16 q^{65} + 420 q^{66} + 12 q^{67} + 28 q^{70} - 80 q^{71} - 90 q^{72} - 44 q^{73} - 106 q^{75} - 92 q^{76} + 92 q^{77} + 50 q^{78} - 96 q^{80} + 312 q^{81} - 32 q^{82} + 98 q^{83} - 10 q^{85} - 108 q^{86} - 4 q^{87} + 70 q^{88} - 76 q^{90} - 96 q^{91} - 30 q^{92} + 74 q^{93} - 34 q^{95} + 124 q^{96} - 176 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2205, [\chi])\) into newform subspaces

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