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Properties

Label 425.4.q
Level $425$
Weight $4$
Character orbit 425.q
Rep. character $\chi_{425}(84,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $528$
Sturm bound $180$

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Defining parameters

Level: \( N \) \(=\) \( 425 = 5^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 425.q (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 425 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(180\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(425, [\chi])\).

Total New Old
Modular forms 544 544 0
Cusp forms 528 528 0
Eisenstein series 16 16 0

Trace form

\( 528 q - 10 q^{2} + 506 q^{4} - 10 q^{8} - 1122 q^{9} + O(q^{10}) \) \( 528 q - 10 q^{2} + 506 q^{4} - 10 q^{8} - 1122 q^{9} - 10 q^{13} - 50 q^{15} - 1958 q^{16} + 155 q^{17} + 182 q^{19} - 48 q^{21} - 134 q^{25} + 832 q^{26} - 1494 q^{30} - 490 q^{33} + 605 q^{34} - 1604 q^{35} + 4624 q^{36} - 10 q^{38} - 1820 q^{42} - 1910 q^{47} + 21456 q^{49} - 1452 q^{50} + 374 q^{51} - 90 q^{52} + 3800 q^{53} - 1138 q^{55} + 1902 q^{59} + 6008 q^{60} + 6954 q^{64} - 5540 q^{66} + 710 q^{67} - 2226 q^{69} + 444 q^{70} + 900 q^{72} + 6672 q^{76} - 4560 q^{77} - 7998 q^{81} - 9530 q^{83} + 1004 q^{84} + 5122 q^{85} + 2642 q^{86} + 6470 q^{87} - 4920 q^{89} + 3466 q^{94} + 9830 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{4}^{\mathrm{new}}(425, [\chi])\) into newform subspaces

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