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

• Label: 3721.2.u
• Level: $3721$
• Weight: $2$
• Character orbit: 3721.u
• Rep. character: $\chi_{3721}(12,\cdot)$
• Character field: $\Q(\zeta_{915})$
• Dimension: $150720$
• Sturm bound: $630$

Defining parameters

Level:	\( N \)	\(=\)	\( 3721 = 61^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3721.u (of order \(915\) and degree \(480\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3721 \)
Character field:			\(\Q(\zeta_{915})\)
Sturm bound:			\(630\)

Dimensions

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

	Total	New	Old
Modular forms	151680	151680	0
Cusp forms	150720	150720	0
Eisenstein series	960	960	0

Trace form

150720 * q - 478 * q^2 - 484 * q^3 - 788 * q^4 - 490 * q^5 - 489 * q^6 - 489 * q^7 - 484 * q^8 + 134 * q^9 - 503 * q^10 - 470 * q^11 - 435 * q^12 - 488 * q^13 - 255 * q^14 - 490 * q^15 - 804 * q^16 - 464 * q^17 - 473 * q^18 - 497 * q^19 - 484 * q^20 - 485 * q^21 - 489 * q^22 - 486 * q^23 - 503 * q^24 - 826 * q^25 - 504 * q^26 - 523 * q^27 - 492 * q^28 - 484 * q^29 - 542 * q^30 - 477 * q^31 - 522 * q^32 - 453 * q^33 - 506 * q^34 - 430 * q^35 - 863 * q^36 - 474 * q^37 - 464 * q^38 - 505 * q^39 - 428 * q^40 - 499 * q^41 + 2123 * q^42 - 650 * q^43 - 761 * q^44 + 232 * q^45 - 712 * q^46 - 528 * q^47 - 499 * q^48 - 799 * q^49 - 432 * q^50 - 479 * q^51 - 405 * q^52 - 505 * q^53 - 487 * q^54 - 428 * q^55 - 386 * q^56 + 1502 * q^57 - 545 * q^58 - 721 * q^59 - 468 * q^60 - 1409 * q^61 - 462 * q^62 - 430 * q^63 + 126 * q^64 - 553 * q^65 + 1422 * q^66 - 475 * q^67 - 485 * q^68 - 456 * q^69 - 520 * q^70 - 551 * q^71 - 1299 * q^72 - 442 * q^73 - 478 * q^74 - 489 * q^75 - 551 * q^76 + 269 * q^77 - 385 * q^78 - 439 * q^79 + 780 * q^80 + 84 * q^81 - 1076 * q^82 - 527 * q^83 - 488 * q^84 + 711 * q^85 - 568 * q^86 - 993 * q^87 - 542 * q^88 - 520 * q^89 + 792 * q^90 - 558 * q^91 - 565 * q^92 - 555 * q^93 - 424 * q^94 - 779 * q^95 + 504 * q^96 - 531 * q^97 - 615 * q^98 - 457 * 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.