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Properties

Label 1077.2.h
Level $1077$
Weight $2$
Character orbit 1077.h
Rep. character $\chi_{1077}(14,\cdot)$
Character field $\Q(\zeta_{358})$
Dimension $21004$
Sturm bound $240$

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Defining parameters

Level: \( N \) \(=\) \( 1077 = 3 \cdot 359 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1077.h (of order \(358\) and degree \(178\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1077 \)
Character field: \(\Q(\zeta_{358})\)
Sturm bound: \(240\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1077, [\chi])\).

Total New Old
Modular forms 21716 21716 0
Cusp forms 21004 21004 0
Eisenstein series 712 712 0

Trace form

\( 21004 q - 177 q^{3} - 238 q^{4} - 181 q^{6} - 358 q^{7} - 181 q^{9} + O(q^{10}) \) \( 21004 q - 177 q^{3} - 238 q^{4} - 181 q^{6} - 358 q^{7} - 181 q^{9} - 370 q^{10} - 175 q^{12} - 358 q^{13} - 201 q^{15} - 498 q^{16} - 175 q^{18} - 358 q^{19} - 179 q^{21} - 366 q^{22} - 209 q^{24} - 236 q^{25} - 189 q^{27} - 358 q^{28} - 207 q^{30} - 358 q^{31} - 189 q^{33} - 374 q^{34} - 213 q^{36} - 362 q^{37} - 179 q^{39} - 378 q^{40} - 179 q^{42} - 358 q^{43} - 183 q^{45} - 334 q^{46} - 163 q^{48} - 272 q^{49} - 167 q^{51} - 358 q^{52} - 227 q^{54} - 366 q^{55} - 179 q^{57} - 358 q^{58} - 137 q^{60} - 358 q^{61} - 179 q^{63} - 206 q^{64} - 143 q^{66} - 358 q^{67} - 147 q^{69} - 358 q^{70} - 119 q^{72} - 326 q^{73} - 205 q^{75} - 358 q^{76} - 179 q^{78} - 406 q^{79} - 197 q^{81} - 414 q^{82} - 179 q^{84} - 418 q^{85} - 179 q^{87} - 338 q^{88} - 172 q^{90} - 306 q^{91} - 179 q^{93} - 406 q^{94} - 120 q^{96} - 358 q^{97} - 263 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1077, [\chi])\) into newform subspaces

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