Properties

Label 1425.2.h
Level $1425$
Weight $2$
Character orbit 1425.h
Rep. character $\chi_{1425}(626,\cdot)$
Character field $\Q$
Dimension $120$
Sturm bound $400$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1425 = 3 \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1425.h (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 57 \)
Character field: \(\Q\)
Sturm bound: \(400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1425, [\chi])\).

Total New Old
Modular forms 212 132 80
Cusp forms 188 120 68
Eisenstein series 24 12 12

Trace form

\( 120 q + 112 q^{4} + 12 q^{7} - 4 q^{9} + O(q^{10}) \) \( 120 q + 112 q^{4} + 12 q^{7} - 4 q^{9} + 88 q^{16} + 14 q^{19} - 36 q^{24} + 56 q^{28} - 28 q^{36} + 4 q^{39} + 12 q^{42} - 4 q^{43} + 56 q^{49} + 28 q^{54} + 20 q^{57} + 40 q^{58} + 40 q^{61} - 40 q^{63} - 24 q^{64} + 64 q^{66} + 12 q^{73} + 52 q^{76} - 40 q^{81} - 16 q^{82} + 8 q^{87} + 12 q^{93} + 8 q^{96} - 56 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1425, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1425, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1425, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(57, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(285, [\chi])\)\(^{\oplus 2}\)