Properties

Label 35.23.l
Level $35$
Weight $23$
Character orbit 35.l
Rep. character $\chi_{35}(2,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $344$
Sturm bound $92$

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Defining parameters

Level: \( N \) \(=\) \( 35 = 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 23 \)
Character orbit: \([\chi]\) \(=\) 35.l (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 35 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(92\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{23}(35, [\chi])\).

Total New Old
Modular forms 360 360 0
Cusp forms 344 344 0
Eisenstein series 16 16 0

Trace form

\( 344 q - 2 q^{2} - 2 q^{3} + 43426896 q^{5} + 223461360 q^{6} - 1362465506 q^{7} + 25706989164 q^{8} + O(q^{10}) \) \( 344 q - 2 q^{2} - 2 q^{3} + 43426896 q^{5} + 223461360 q^{6} - 1362465506 q^{7} + 25706989164 q^{8} + 98063138814 q^{10} + 143631010576 q^{11} - 125532627046 q^{12} - 8 q^{13} + 24782168113852 q^{15} + 734953297809300 q^{16} - 31113789691348 q^{17} - 134839296356404 q^{18} - 70368744177672 q^{20} - 2718006877640104 q^{21} - 2917945976127496 q^{22} - 2045393803781486 q^{23} - 2555288062160916 q^{25} - 8866993668363220 q^{26} + 5356829948331676 q^{27} + 72688893210848786 q^{28} + 98578721631675664 q^{30} + 58918919693143360 q^{31} - 102782942365220870 q^{32} + 26109671656645616 q^{33} + 12493751913757960 q^{35} + 7275690446007828464 q^{36} + 105347789832382944 q^{37} - 670434198501302584 q^{38} - 414175514781073558 q^{40} + 1079276516060078736 q^{41} - 6009803084231568970 q^{42} + 609272223361806804 q^{43} - 388574443091191604 q^{45} + 9684477106901726612 q^{46} - 2985242319905869908 q^{47} + 1869988319803911548 q^{48} + 37888749729644761780 q^{50} - 15244352756116061320 q^{51} + 66211346747232839312 q^{52} - 17353286743023746572 q^{53} + 54251242870131104808 q^{55} + 37564168288002293940 q^{56} + 23103218379297919256 q^{57} - 151012453852684065802 q^{58} + 27883046758180010062 q^{60} - 95241442203865765372 q^{61} - 450422648356723221424 q^{62} + 456306766571250123812 q^{63} + 297753318722306626232 q^{65} - 541393269889957686644 q^{66} - 171333777271968441802 q^{67} + 634556326904744565332 q^{68} - 1574662522285455908800 q^{70} + 1829277722327272784248 q^{71} + 309746191279847324708 q^{72} + 1858503951996747034080 q^{73} - 3483001532051162117250 q^{75} - 1412480825710379472560 q^{76} + 2042446396427714935428 q^{77} - 5344733986735767447120 q^{78} - 6858042833404080669124 q^{80} + 15813396023802173135408 q^{81} - 477325768829086385418 q^{82} - 2452190817398351505060 q^{83} + 12570027035541834117344 q^{85} + 102362008315939769944 q^{86} - 3643630063141599501514 q^{87} - 10035390525144511019088 q^{88} - 277386137834351787480 q^{90} - 5915366312276915681896 q^{91} + 15668913048697208911372 q^{92} + 2823683624483912535832 q^{93} - 10757095424316407573588 q^{95} + 46792175440116622088736 q^{96} - 16347974647824485684872 q^{97} - 165402249209843878718 q^{98} + O(q^{100}) \)

Decomposition of \(S_{23}^{\mathrm{new}}(35, [\chi])\) into newform subspaces

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