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Properties

Label 273.12.bv
Level $273$
Weight $12$
Character orbit 273.bv
Rep. character $\chi_{273}(2,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1628$
Sturm bound $448$

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Defining parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 12 \)
Character orbit: \([\chi]\) \(=\) 273.bv (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 273 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{12}(273, [\chi])\).

Total New Old
Modular forms 1660 1660 0
Cusp forms 1628 1628 0
Eisenstein series 32 32 0

Trace form

\( 1628 q + 2 q^{3} + 4088 q^{6} + 114392 q^{7} + 2 q^{9} + O(q^{10}) \) \( 1628 q + 2 q^{3} + 4088 q^{6} + 114392 q^{7} + 2 q^{9} - 12 q^{10} + 2125764 q^{12} - 16 q^{13} - 6245526 q^{15} - 1669333000 q^{16} - 35224322 q^{18} - 35384788 q^{19} + 9534618 q^{21} - 8 q^{22} + 7688210 q^{24} - 186246184 q^{27} - 1009744 q^{28} + 780055290 q^{30} + 464175002 q^{31} + 478024916 q^{33} + 951138888 q^{34} - 788348940 q^{36} + 953633010 q^{37} + 325476778 q^{39} - 1290356756 q^{40} + 1133281286 q^{42} + 4408646148 q^{43} - 4391892122 q^{45} + 648326136 q^{46} + 10585439720 q^{48} - 75684016 q^{49} - 2125764 q^{51} + 8761937916 q^{52} - 6560661634 q^{54} - 3428725008 q^{55} - 1592710454 q^{57} - 17633537844 q^{58} - 15468409978 q^{60} - 5872607820 q^{61} - 29821910620 q^{63} + 5465564486 q^{66} - 40744416212 q^{67} - 67205445354 q^{69} + 19885006320 q^{70} + 38564037946 q^{72} + 39939202234 q^{73} + 158516219888 q^{76} - 232724099342 q^{78} + 44812520168 q^{79} - 8500618434 q^{81} - 62462129676 q^{82} + 173533076500 q^{84} + 140327767504 q^{85} + 347870474692 q^{87} - 532332421572 q^{88} - 506381852328 q^{91} - 407275402154 q^{93} - 283858200312 q^{94} - 420009312438 q^{96} + 545385053730 q^{97} - 83429198170 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{12}^{\mathrm{new}}(273, [\chi])\) into newform subspaces

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