Space of modular forms of level 3721, weight 2, and Character 3721.w

• Label: 3721.2.w
• Level: $3721$
• Weight: $2$
• Character orbit: 3721.w
• Rep. character: $\chi_{3721}(4,\cdot)$
• Character field: $\Q(\zeta_{1830})$
• Dimension: $151200$
• Sturm bound: $630$

Defining parameters

Level:	\( N \)	\(=\)	\( 3721 = 61^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3721.w (of order \(1830\) and degree \(480\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3721 \)
Character field:			\(\Q(\zeta_{1830})\)
Sturm bound:			\(630\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3721, [\chi])\).

	Total	New	Old
Modular forms	152160	152160	0
Cusp forms	151200	151200	0
Eisenstein series	960	960	0

Trace form

151200 * q - 481 * q^2 - 484 * q^3 - 159 * q^4 - 470 * q^5 - 503 * q^6 - 477 * q^7 - 478 * q^8 + 156 * q^9 - 475 * q^10 - 488 * q^11 - 529 * q^12 - 474 * q^13 - 747 * q^14 - 498 * q^15 - 783 * q^16 - 494 * q^17 - 534 * q^18 - 453 * q^19 - 474 * q^20 - 455 * q^21 - 469 * q^22 - 518 * q^23 - 493 * q^24 - 801 * q^25 - 484 * q^26 - 499 * q^27 - 488 * q^28 - 521 * q^29 - 488 * q^30 - 509 * q^31 - 434 * q^32 - 493 * q^33 - 526 * q^34 - 502 * q^35 - 122 * q^36 - 478 * q^37 - 488 * q^38 - 509 * q^39 - 581 * q^40 - 491 * q^41 - 3097 * q^42 - 370 * q^43 - 351 * q^44 - 1259 * q^45 - 262 * q^46 - 428 * q^47 - 527 * q^48 - 186 * q^49 - 488 * q^50 - 441 * q^51 - 507 * q^52 - 478 * q^53 - 433 * q^54 - 456 * q^55 - 498 * q^56 + 1390 * q^57 - 414 * q^58 - 691 * q^59 - 288 * q^60 + 484 * q^61 - 454 * q^62 - 530 * q^63 - 1048 * q^64 - 387 * q^65 + 1464 * q^66 - 519 * q^67 - 462 * q^68 - 458 * q^69 - 508 * q^70 - 511 * q^71 + 305 * q^72 - 507 * q^73 - 440 * q^74 - 497 * q^75 - 467 * q^76 - 1235 * q^77 - 573 * q^78 - 549 * q^79 - 1903 * q^80 + 118 * q^81 - 910 * q^82 - 481 * q^83 - 678 * q^84 + 742 * q^85 - 552 * q^86 - 915 * q^87 - 498 * q^88 - 473 * q^89 - 1861 * q^90 - 560 * q^91 - 547 * q^92 - 485 * q^93 - 498 * q^94 - 735 * q^95 - 1564 * q^96 - 440 * q^97 - 463 * q^98 - 613 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(3721, [\chi])\) into newform subspaces

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