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Properties

Label 3023.2
Level 3023
Weight 2
Dimension 379262
Nonzero newspaces 2
Sturm bound 1523088
Trace bound 1

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Defining parameters

Level: \( N \) = \( 3023 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 2 \)
Sturm bound: \(1523088\)
Trace bound: \(1\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(3023))\).

Total New Old
Modular forms 382283 382283 0
Cusp forms 379262 379262 0
Eisenstein series 3021 3021 0

Trace form

\( 379262 q - 1508 q^{2} - 1507 q^{3} - 1504 q^{4} - 1505 q^{5} - 1499 q^{6} - 1503 q^{7} - 1496 q^{8} - 1498 q^{9} + O(q^{10}) \) \( 379262 q - 1508 q^{2} - 1507 q^{3} - 1504 q^{4} - 1505 q^{5} - 1499 q^{6} - 1503 q^{7} - 1496 q^{8} - 1498 q^{9} - 1493 q^{10} - 1499 q^{11} - 1483 q^{12} - 1497 q^{13} - 1487 q^{14} - 1487 q^{15} - 1480 q^{16} - 1493 q^{17} - 1472 q^{18} - 1491 q^{19} - 1469 q^{20} - 1479 q^{21} - 1475 q^{22} - 1487 q^{23} - 1451 q^{24} - 1480 q^{25} - 1469 q^{26} - 1471 q^{27} - 1455 q^{28} - 1481 q^{29} - 1439 q^{30} - 1479 q^{31} - 1448 q^{32} - 1463 q^{33} - 1457 q^{34} - 1463 q^{35} - 1420 q^{36} - 1473 q^{37} - 1451 q^{38} - 1455 q^{39} - 1421 q^{40} - 1469 q^{41} - 1415 q^{42} - 1467 q^{43} - 1427 q^{44} - 1433 q^{45} - 1439 q^{46} - 1463 q^{47} - 1387 q^{48} - 1454 q^{49} - 1418 q^{50} - 1439 q^{51} - 1413 q^{52} - 1457 q^{53} - 1391 q^{54} - 1439 q^{55} - 1391 q^{56} - 1431 q^{57} - 1421 q^{58} - 1451 q^{59} - 1343 q^{60} - 1449 q^{61} - 1415 q^{62} - 1407 q^{63} - 1384 q^{64} - 1427 q^{65} - 1367 q^{66} - 1443 q^{67} - 1385 q^{68} - 1415 q^{69} - 1367 q^{70} - 1439 q^{71} - 1316 q^{72} - 1437 q^{73} - 1397 q^{74} - 1387 q^{75} - 1371 q^{76} - 1415 q^{77} - 1343 q^{78} - 1431 q^{79} - 1325 q^{80} - 1390 q^{81} - 1385 q^{82} - 1427 q^{83} - 1287 q^{84} - 1403 q^{85} - 1379 q^{86} - 1391 q^{87} - 1331 q^{88} - 1421 q^{89} - 1277 q^{90} - 1399 q^{91} - 1343 q^{92} - 1383 q^{93} - 1367 q^{94} - 1391 q^{95} - 1259 q^{96} - 1413 q^{97} - 1340 q^{98} - 1355 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(3023))\)

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
3023.2.a \(\chi_{3023}(1, \cdot)\) 3023.2.a.a 1 1
3023.2.a.b 102
3023.2.a.c 149
3023.2.c \(\chi_{3023}(2, \cdot)\) n/a 379010 1510

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