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Properties

Label 1063.2
Level 1063
Weight 2
Dimension 46552
Nonzero newspaces 6
Sturm bound 188328
Trace bound 1

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Defining parameters

Level: \( N \) = \( 1063 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 6 \)
Sturm bound: \(188328\)
Trace bound: \(1\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(1063))\).

Total New Old
Modular forms 47613 47613 0
Cusp forms 46552 46552 0
Eisenstein series 1061 1061 0

Trace form

\( 46552 q - 528 q^{2} - 527 q^{3} - 524 q^{4} - 525 q^{5} - 519 q^{6} - 523 q^{7} - 516 q^{8} - 518 q^{9} + O(q^{10}) \) \( 46552 q - 528 q^{2} - 527 q^{3} - 524 q^{4} - 525 q^{5} - 519 q^{6} - 523 q^{7} - 516 q^{8} - 518 q^{9} - 513 q^{10} - 519 q^{11} - 503 q^{12} - 517 q^{13} - 507 q^{14} - 507 q^{15} - 500 q^{16} - 513 q^{17} - 492 q^{18} - 511 q^{19} - 489 q^{20} - 499 q^{21} - 495 q^{22} - 507 q^{23} - 471 q^{24} - 500 q^{25} - 489 q^{26} - 491 q^{27} - 475 q^{28} - 501 q^{29} - 459 q^{30} - 499 q^{31} - 468 q^{32} - 483 q^{33} - 477 q^{34} - 483 q^{35} - 440 q^{36} - 493 q^{37} - 471 q^{38} - 475 q^{39} - 441 q^{40} - 489 q^{41} - 435 q^{42} - 487 q^{43} - 447 q^{44} - 453 q^{45} - 459 q^{46} - 483 q^{47} - 407 q^{48} - 474 q^{49} - 438 q^{50} - 459 q^{51} - 433 q^{52} - 477 q^{53} - 411 q^{54} - 459 q^{55} - 411 q^{56} - 451 q^{57} - 441 q^{58} - 471 q^{59} - 363 q^{60} - 469 q^{61} - 435 q^{62} - 427 q^{63} - 404 q^{64} - 447 q^{65} - 387 q^{66} - 463 q^{67} - 405 q^{68} - 435 q^{69} - 387 q^{70} - 459 q^{71} - 336 q^{72} - 457 q^{73} - 417 q^{74} - 407 q^{75} - 391 q^{76} - 435 q^{77} - 363 q^{78} - 451 q^{79} - 345 q^{80} - 410 q^{81} - 405 q^{82} - 447 q^{83} - 307 q^{84} - 423 q^{85} - 399 q^{86} - 411 q^{87} - 351 q^{88} - 441 q^{89} - 297 q^{90} - 419 q^{91} - 363 q^{92} - 403 q^{93} - 387 q^{94} - 411 q^{95} - 279 q^{96} - 433 q^{97} - 360 q^{98} - 375 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(1063))\)

We only show spaces with even parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list available newforms together with their dimension.

Label \(\chi\) Newforms Dimension \(\chi\) degree
1063.2.a \(\chi_{1063}(1, \cdot)\) 1063.2.a.a 2 1
1063.2.a.b 2
1063.2.a.c 33
1063.2.a.d 51
1063.2.c \(\chi_{1063}(343, \cdot)\) n/a 174 2
1063.2.e \(\chi_{1063}(7, \cdot)\) n/a 528 6
1063.2.g \(\chi_{1063}(17, \cdot)\) n/a 5046 58
1063.2.i \(\chi_{1063}(8, \cdot)\) n/a 10092 116
1063.2.k \(\chi_{1063}(2, \cdot)\) n/a 30624 348

"n/a" means that newforms for that character have not been added to the database yet