LMFDB - Space of modular forms of level 25410, weight 2, and trivial character

Defining parameters

Level:	$ N $	$=$	$ 25410 = 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	25410.a (trivial)
Character field:			$\Q$
Newform subspaces:			$ 171 $
Sturm bound:			$12672$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(\Gamma_0(25410))$.

	Total	New	Old
Modular forms	6432	436	5996
Cusp forms	6241	436	5805
Eisenstein series	191	0	191

The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.

$2$	$3$	$5$	$7$	$11$	Fricke	Total			Cusp			Eisenstein
$2$	$3$	$5$	$7$	$11$	Fricke	All	New	Old	All	New	Old	All	New	Old
$+$	$+$	$+$	$+$	$+$	$+$	$186$	$17$	$169$	$181$	$17$	$164$	$5$	$0$	$5$
$+$	$+$	$+$	$+$	$-$	$-$	$213$	$10$	$203$	$207$	$10$	$197$	$6$	$0$	$6$
$+$	$+$	$+$	$-$	$+$	$-$	$210$	$12$	$198$	$204$	$12$	$192$	$6$	$0$	$6$
$+$	$+$	$+$	$-$	$-$	$+$	$194$	$15$	$179$	$188$	$15$	$173$	$6$	$0$	$6$
$+$	$+$	$-$	$+$	$+$	$-$	$204$	$13$	$191$	$198$	$13$	$185$	$6$	$0$	$6$
$+$	$+$	$-$	$+$	$-$	$+$	$199$	$15$	$184$	$193$	$15$	$178$	$6$	$0$	$6$
$+$	$+$	$-$	$-$	$+$	$+$	$198$	$12$	$186$	$192$	$12$	$180$	$6$	$0$	$6$
$+$	$+$	$-$	$-$	$-$	$-$	$202$	$15$	$187$	$196$	$15$	$181$	$6$	$0$	$6$
$+$	$-$	$+$	$+$	$+$	$-$	$198$	$13$	$185$	$192$	$13$	$179$	$6$	$0$	$6$
$+$	$-$	$+$	$+$	$-$	$+$	$204$	$15$	$189$	$198$	$15$	$183$	$6$	$0$	$6$
$+$	$-$	$+$	$-$	$+$	$+$	$204$	$12$	$192$	$198$	$12$	$186$	$6$	$0$	$6$
$+$	$-$	$+$	$-$	$-$	$-$	$199$	$15$	$184$	$193$	$15$	$178$	$6$	$0$	$6$
$+$	$-$	$-$	$+$	$+$	$+$	$204$	$11$	$193$	$198$	$11$	$187$	$6$	$0$	$6$
$+$	$-$	$-$	$+$	$-$	$-$	$200$	$15$	$185$	$194$	$15$	$179$	$6$	$0$	$6$
$+$	$-$	$-$	$-$	$+$	$-$	$204$	$18$	$186$	$198$	$18$	$180$	$6$	$0$	$6$
$+$	$-$	$-$	$-$	$-$	$+$	$197$	$10$	$187$	$191$	$10$	$181$	$6$	$0$	$6$
$-$	$+$	$+$	$+$	$+$	$-$	$198$	$12$	$186$	$192$	$12$	$180$	$6$	$0$	$6$
$-$	$+$	$+$	$+$	$-$	$+$	$202$	$15$	$187$	$196$	$15$	$181$	$6$	$0$	$6$
$-$	$+$	$+$	$-$	$+$	$+$	$204$	$13$	$191$	$198$	$13$	$185$	$6$	$0$	$6$
$-$	$+$	$+$	$-$	$-$	$-$	$201$	$15$	$186$	$195$	$15$	$180$	$6$	$0$	$6$
$-$	$+$	$-$	$+$	$+$	$+$	$210$	$12$	$198$	$204$	$12$	$192$	$6$	$0$	$6$
$-$	$+$	$-$	$+$	$-$	$-$	$194$	$15$	$179$	$188$	$15$	$173$	$6$	$0$	$6$
$-$	$+$	$-$	$-$	$+$	$-$	$198$	$17$	$181$	$192$	$17$	$175$	$6$	$0$	$6$
$-$	$+$	$-$	$-$	$-$	$+$	$203$	$10$	$193$	$197$	$10$	$187$	$6$	$0$	$6$
$-$	$-$	$+$	$+$	$+$	$+$	$198$	$12$	$186$	$192$	$12$	$180$	$6$	$0$	$6$
$-$	$-$	$+$	$+$	$-$	$-$	$203$	$15$	$188$	$197$	$15$	$182$	$6$	$0$	$6$
$-$	$-$	$+$	$-$	$+$	$-$	$198$	$17$	$181$	$192$	$17$	$175$	$6$	$0$	$6$
$-$	$-$	$+$	$-$	$-$	$+$	$204$	$10$	$194$	$198$	$10$	$188$	$6$	$0$	$6$
$-$	$-$	$-$	$+$	$+$	$-$	$210$	$18$	$192$	$204$	$18$	$186$	$6$	$0$	$6$
$-$	$-$	$-$	$+$	$-$	$+$	$193$	$10$	$183$	$187$	$10$	$177$	$6$	$0$	$6$
$-$	$-$	$-$	$-$	$+$	$+$	$192$	$7$	$185$	$186$	$7$	$179$	$6$	$0$	$6$
$-$	$-$	$-$	$-$	$-$	$-$	$208$	$20$	$188$	$202$	$20$	$182$	$6$	$0$	$6$
Plus space					$+$	$3192$	$196$	$2996$	$3097$	$196$	$2901$	$95$	$0$	$95$
Minus space					$-$	$3240$	$240$	$3000$	$3144$	$240$	$2904$	$96$	$0$	$96$

Trace form

$ 436 q + 436 q^{4} + 436 q^{9} + 16 q^{13} + 436 q^{16} - 16 q^{19} + 16 q^{23} + 436 q^{25} + 16 q^{26} - 16 q^{29} + 4 q^{30} + 56 q^{31} + 8 q^{34} + 436 q^{36} - 8 q^{37} + 8 q^{39} - 16 q^{41} - 4 q^{42}+ \cdots - 16 q^{97}+O(q^{100}) $

436 * q + 436 * q^4 + 436 * q^9 + 16 * q^13 + 436 * q^16 - 16 * q^19 + 16 * q^23 + 436 * q^25 + 16 * q^26 - 16 * q^29 + 4 * q^30 + 56 * q^31 + 8 * q^34 + 436 * q^36 - 8 * q^37 + 8 * q^39 - 16 * q^41 - 4 * q^42 - 16 * q^46 + 436 * q^49 + 8 * q^51 + 16 * q^52 - 16 * q^53 + 8 * q^57 + 16 * q^58 - 32 * q^59 - 32 * q^62 + 436 * q^64 - 16 * q^65 - 32 * q^67 - 16 * q^69 - 4 * q^70 - 40 * q^71 - 16 * q^73 - 24 * q^74 - 16 * q^76 - 16 * q^78 - 32 * q^79 + 436 * q^81 - 32 * q^83 + 8 * q^85 + 8 * q^86 - 16 * q^87 - 8 * q^91 + 16 * q^92 + 8 * q^93 - 24 * q^94 - 8 * q^95 - 16 * q^97

Decomposition of $S_{2}^{\mathrm{new}}(\Gamma_0(25410))$ into newform subspaces

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				A-L signs					Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	3	5	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
25410.2.a.a	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.b	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.c	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.d	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.e	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.f	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.g	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.h	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$1$	$+$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
25410.2.a.i	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$1$	$+$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
25410.2.a.j	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.k	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.l	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.m	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.n	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.o	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.p	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.q	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.r	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$1$	$+$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
25410.2.a.s	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$1$	$+$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
25410.2.a.t	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$1$	$+$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
25410.2.a.u	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$1$	$+$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
25410.2.a.v	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$-1$	$+$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
25410.2.a.w	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$-1$	$+$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
25410.2.a.x	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$-1$	$+$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
25410.2.a.y	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$1$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.z	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$1$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.ba	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$1$	$+$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bb	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$1$	$+$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bc	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$1$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bd	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$1$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.be	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$1$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bf	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$1$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bg	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$1$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bh	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$-1$	$+$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
25410.2.a.bi	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$1$	$+$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bj	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$1$	$+$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bk	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$1$	$+$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bl	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$1$	$+$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bm	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
25410.2.a.bn	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
25410.2.a.bo	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$1$	$-$	$+$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bp	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$1$	$-$	$+$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bq	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$1$	$-$	$+$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.br	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$1$	$-$	$+$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bs	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$1$	$-$	$+$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bt	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$1$	$-$	$+$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bu	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$1$	$-$	$+$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bv	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$1$	$-$	$+$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bw	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$1$	$-$	$+$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.bx	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$1$	$-$	$+$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.by	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$-1$	$-$	$+$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
25410.2.a.bz	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$-1$	$-$	$+$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
25410.2.a.ca	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$-1$	$-$	$+$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
25410.2.a.cb	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$-1$	$-$	$+$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
25410.2.a.cc	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$1$	$-$	$+$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.cd	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$1$	$-$	$+$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.ce	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$1$	$-$	$+$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.cf	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$1$	$-$	$+$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.cg	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$1$	$-$	$+$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
25410.2.a.ch	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$-1$	$-$	$-$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.ci	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$-1$	$-$	$-$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.cj	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$-1$	$-$	$-$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.ck	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$-1$	$-$	$-$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.cl	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$-1$	$-$	$-$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.cm	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$-1$	$-$	$-$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.cn	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$-1$	$-$	$-$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.co	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$-1$	$-$	$-$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.cp	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$-1$	$-$	$-$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.cq	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$1$	$-$	$-$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
25410.2.a.cr	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$1$	$-$	$-$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
25410.2.a.cs	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$-1$	$-$	$-$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.ct	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$-1$	$-$	$-$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.cu	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$-1$	$-$	$-$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.cv	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$-1$	$-$	$-$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
25410.2.a.cw	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$1$	$-$	$-$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
25410.2.a.cx	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$1$	$-$	$-$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
25410.2.a.cy	$25410$	$2$	25410.a	1.a	$1$	$1$	$1$	$202.900$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$1$	$-$	$-$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
25410.2.a.cz	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$-2$	$-2$	$-2$	$-2$	$+$	$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.da	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$-2$	$-2$	$-2$	$-2$	$+$	$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.db	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$-2$	$-2$	$-2$	$+$	$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.dc	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$-2$	$-2$	$2$	$+$	$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.dd	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{15}) $	None	✓	?				$-1$		$-2$	$-2$	$-2$	$2$	$+$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.de	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$-2$	$-2$	$-2$	$2$	$+$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.df	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{33}) $	None	✓	?				$-1$		$-2$	$-2$	$2$	$-2$	$+$	$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.dg	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$-2$	$2$	$-2$	$+$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.dh	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{10}) $	None	✓	?				$-1$		$-2$	$-2$	$2$	$2$	$+$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.di	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$-2$	$-2$	$2$	$2$	$+$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.dj	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{7}) $	None	✓	?				$-1$		$-2$	$2$	$-2$	$-2$	$+$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.dk	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$-2$	$2$	$-2$	$-2$	$+$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.dl	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{97}) $	None	✓	?				$-1$		$-2$	$2$	$-2$	$2$	$+$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.dm	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$-2$	$2$	$-2$	$2$	$+$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.dn	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$-2$	$2$	$-2$	$2$	$+$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.do	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$2$	$-2$	$2$	$+$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.dp	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$2$	$-2$	$2$	$+$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.dq	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$-2$	$2$	$2$	$-2$	$+$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.dr	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$2$	$-2$	$-2$	$-2$	$-$	$+$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.ds	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{15}) $	None	✓	?				$-1$		$2$	$-2$	$-2$	$-2$	$-$	$+$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.dt	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$2$	$-2$	$-2$	$-2$	$-$	$+$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.du	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$2$	$-2$	$-2$	$2$	$-$	$+$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.dv	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$2$	$-2$	$-2$	$2$	$-$	$+$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.dw	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{33}) $	None	✓	?				$-1$		$2$	$-2$	$2$	$-2$	$-$	$+$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.dx	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{10}) $	None	✓	?				$-1$		$2$	$-2$	$2$	$-2$	$-$	$+$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.dy	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$2$	$-2$	$2$	$2$	$-$	$+$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.dz	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{33}) $	None	✓	?				$-1$		$2$	$-2$	$2$	$2$	$-$	$+$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.ea	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{33}) $	None	✓	?				$-1$		$2$	$-2$	$2$	$2$	$-$	$+$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.eb	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$2$	$2$	$-2$	$-2$	$-$	$-$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.ec	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$2$	$2$	$-2$	$-2$	$-$	$-$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.ed	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$2$	$2$	$-2$	$-2$	$-$	$-$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.ee	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$2$	$2$	$-2$	$-2$	$-$	$-$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.ef	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{97}) $	None	✓	?				$-1$		$2$	$2$	$-2$	$-2$	$-$	$-$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.eg	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$2$	$2$	$-2$	$2$	$-$	$-$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.eh	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{7}) $	None	✓	?				$-1$		$2$	$2$	$-2$	$2$	$-$	$-$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.ei	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$2$	$2$	$2$	$2$	$-$	$-$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.ej	$25410$	$2$	25410.a	1.a	$1$	$2$	$2$	$202.900$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$2$	$2$	$2$	$2$	$-$	$-$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.ek	$25410$	$2$	25410.a	1.a	$1$	$3$	$3$	$202.900$	3.3.2636.1	None	✓	?				$-1$		$-3$	$-3$	$-3$	$3$	$+$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.el	$25410$	$2$	25410.a	1.a	$1$	$3$	$3$	$202.900$	3.3.2024.1	None	✓	?				$-1$		$-3$	$-3$	$3$	$3$	$+$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.em	$25410$	$2$	25410.a	1.a	$1$	$3$	$3$	$202.900$	3.3.568.1	None	✓	?				$-1$		$-3$	$3$	$-3$	$-3$	$+$	$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.en	$25410$	$2$	25410.a	1.a	$1$	$3$	$3$	$202.900$	3.3.148.1	None	✓	?				$-1$		$-3$	$3$	$3$	$-3$	$+$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.eo	$25410$	$2$	25410.a	1.a	$1$	$3$	$3$	$202.900$	3.3.2636.1	None	✓	?				$-1$		$3$	$-3$	$-3$	$-3$	$-$	$+$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.ep	$25410$	$2$	25410.a	1.a	$1$	$3$	$3$	$202.900$	3.3.2024.1	None	✓	?				$-1$		$3$	$-3$	$3$	$-3$	$-$	$+$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.eq	$25410$	$2$	25410.a	1.a	$1$	$3$	$3$	$202.900$	3.3.568.1	None	✓	?				$-1$		$3$	$3$	$-3$	$3$	$-$	$-$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.er	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.440208.1	None	✓	?				$-1$		$-4$	$-4$	$-4$	$-4$	$+$	$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.es	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.725.1	None	✓	?	✓			$-1$		$-4$	$-4$	$-4$	$-4$	$+$	$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.et	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.13968.1	None	✓	?				$-1$		$-4$	$-4$	$-4$	$4$	$+$	$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.eu	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.725.1	None	✓	?				$-1$		$-4$	$-4$	$4$	$-4$	$+$	$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.ev	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.25488.1	None	✓	?				$-1$		$-4$	$-4$	$4$	$4$	$+$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.ew	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.2525.1	None	✓	?				$-1$		$-4$	$4$	$-4$	$-4$	$+$	$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.ex	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.8525.1	None	✓	?	✓			$-1$		$-4$	$4$	$-4$	$4$	$+$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.ey	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.8525.1	None	✓	?	✓			$-1$		$-4$	$4$	$-4$	$4$	$+$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.ez	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.570904.1	None	✓	?				$-1$		$-4$	$4$	$4$	$-4$	$+$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.fa	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.4552584.1	None	✓	?				$-1$		$-4$	$4$	$4$	$-4$	$+$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.fb	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.725.1	None	✓	?				$-1$		$-4$	$4$	$4$	$-4$	$+$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.fc	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.48389.1	None	✓	?				$-1$		$-4$	$4$	$4$	$4$	$+$	$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.fd	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.13968.1	None	✓	?				$-1$		$4$	$-4$	$-4$	$-4$	$-$	$+$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.fe	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.725.1	None	✓	?				$-1$		$4$	$-4$	$-4$	$4$	$-$	$+$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.ff	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.440208.1	None	✓	?				$-1$		$4$	$-4$	$-4$	$4$	$-$	$+$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.fg	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.25488.1	None	✓	?				$-1$		$4$	$-4$	$4$	$-4$	$-$	$+$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.fh	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.725.1	None	✓	?	✓			$-1$		$4$	$-4$	$4$	$4$	$-$	$+$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.fi	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.8525.1	None	✓	?	✓			$-1$		$4$	$4$	$-4$	$-4$	$-$	$-$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.fj	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.8525.1	None	✓	?	✓			$-1$		$4$	$4$	$-4$	$-4$	$-$	$-$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.fk	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.2525.1	None	✓	?	✓			$-1$		$4$	$4$	$-4$	$4$	$-$	$-$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.fl	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.48389.1	None	✓	?				$-1$		$4$	$4$	$4$	$-4$	$-$	$-$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.fm	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.725.1	None	✓	?	✓			$-1$		$4$	$4$	$4$	$4$	$-$	$-$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.fn	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.4552584.1	None	✓	?				$-1$		$4$	$4$	$4$	$4$	$-$	$-$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.fo	$25410$	$2$	25410.a	1.a	$1$	$4$	$4$	$202.900$	4.4.570904.1	None	✓	?				$-1$		$4$	$4$	$4$	$4$	$-$	$-$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.fp	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	6.6.2014930625.1	None	✓	?	✓			$-1$		$-6$	$-6$	$-6$	$-6$	$+$	$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.fq	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	6.6.143233625.1	None	✓	?	✓			$-1$		$-6$	$-6$	$-6$	$6$	$+$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.fr	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	6.6.80638625.1	None	✓	?	✓			$-1$		$-6$	$-6$	$-6$	$6$	$+$	$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.fs	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	6.6.1744180625.1	None	✓	?	✓			$-1$		$-6$	$-6$	$6$	$-6$	$+$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.ft	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	$\mathbb{Q}[x]/(x^{6} - \cdots)$	None	✓	?	✓			$-1$		$-6$	$-6$	$6$	$-6$	$+$	$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.fu	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	6.6.32928625.1	None	✓	?	✓			$-1$		$-6$	$-6$	$6$	$6$	$+$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.fv	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	6.6.122153625.1	None	✓	?	✓			$-1$		$-6$	$-6$	$6$	$6$	$+$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.fw	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	$\mathbb{Q}[x]/(x^{6} - \cdots)$	None	✓	?	✓			$-1$		$-6$	$6$	$-6$	$-6$	$+$	$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.fx	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	6.6.55130625.1	None	✓	?	✓			$-1$		$-6$	$6$	$6$	$6$	$+$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.fy	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	6.6.29175625.1	None	✓	?				$-1$		$-6$	$6$	$6$	$6$	$+$	$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.fz	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	6.6.80638625.1	None	✓	?	✓			$-1$		$6$	$-6$	$-6$	$-6$	$-$	$+$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.ga	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	6.6.143233625.1	None	✓	?	✓			$-1$		$6$	$-6$	$-6$	$-6$	$-$	$+$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.gb	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	6.6.2014930625.1	None	✓	?	✓			$-1$		$6$	$-6$	$-6$	$6$	$-$	$+$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.gc	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	6.6.122153625.1	None	✓	?	✓			$-1$		$6$	$-6$	$6$	$-6$	$-$	$+$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
25410.2.a.gd	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	6.6.32928625.1	None	✓	?	✓			$-1$		$6$	$-6$	$6$	$-6$	$-$	$+$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.ge	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	$\mathbb{Q}[x]/(x^{6} - \cdots)$	None	✓	?				$-1$		$6$	$-6$	$6$	$6$	$-$	$+$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.gf	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	6.6.1744180625.1	None	✓	?				$-1$		$6$	$-6$	$6$	$6$	$-$	$+$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.gg	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	$\mathbb{Q}[x]/(x^{6} - \cdots)$	None	✓	?				$-1$		$6$	$6$	$-6$	$6$	$-$	$-$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.gh	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	6.6.29175625.1	None	✓	?	✓			$-1$		$6$	$6$	$6$	$-6$	$-$	$-$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.gi	$25410$	$2$	25410.a	1.a	$1$	$6$	$6$	$202.900$	6.6.55130625.1	None	✓	?				$-1$		$6$	$6$	$6$	$-6$	$-$	$-$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.gj	$25410$	$2$	25410.a	1.a	$1$	$8$	$8$	$202.900$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?	✓			$-1$		$-8$	$8$	$-8$	$-8$	$+$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
25410.2.a.gk	$25410$	$2$	25410.a	1.a	$1$	$8$	$8$	$202.900$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?	✓			$-1$		$-8$	$8$	$8$	$-8$	$+$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
25410.2.a.gl	$25410$	$2$	25410.a	1.a	$1$	$8$	$8$	$202.900$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?	✓			$-1$		$-8$	$8$	$8$	$8$	$+$	$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.gm	$25410$	$2$	25410.a	1.a	$1$	$8$	$8$	$202.900$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?	✓			$-1$		$8$	$8$	$-8$	$8$	$-$	$-$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.gn	$25410$	$2$	25410.a	1.a	$1$	$8$	$8$	$202.900$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?	✓			$-1$		$8$	$8$	$8$	$-8$	$-$	$-$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
25410.2.a.go	$25410$	$2$	25410.a	1.a	$1$	$8$	$8$	$202.900$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?	✓			$-1$		$8$	$8$	$8$	$8$	$-$	$-$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$

Decomposition of $S_{2}^{\mathrm{old}}(\Gamma_0(25410))$ into lower level spaces

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 25410 = 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	25410.a (trivial)
Character field:			\(\Q\)
Newform subspaces:			\( 171 \)
Sturm bound:			\(12672\)

\(2\)	\(3\)	\(5\)	\(7\)	\(11\)	Fricke	Total			Cusp			Eisenstein
\(2\)	\(3\)	\(5\)	\(7\)	\(11\)	Fricke	All	New	Old	All	New	Old	All	New	Old
\(+\)	\(+\)	\(+\)	\(+\)	\(+\)	\(+\)	\(186\)	\(17\)	\(169\)	\(181\)	\(17\)	\(164\)	\(5\)	\(0\)	\(5\)
\(+\)	\(+\)	\(+\)	\(+\)	\(-\)	\(-\)	\(213\)	\(10\)	\(203\)	\(207\)	\(10\)	\(197\)	\(6\)	\(0\)	\(6\)
\(+\)	\(+\)	\(+\)	\(-\)	\(+\)	\(-\)	\(210\)	\(12\)	\(198\)	\(204\)	\(12\)	\(192\)	\(6\)	\(0\)	\(6\)
\(+\)	\(+\)	\(+\)	\(-\)	\(-\)	\(+\)	\(194\)	\(15\)	\(179\)	\(188\)	\(15\)	\(173\)	\(6\)	\(0\)	\(6\)
\(+\)	\(+\)	\(-\)	\(+\)	\(+\)	\(-\)	\(204\)	\(13\)	\(191\)	\(198\)	\(13\)	\(185\)	\(6\)	\(0\)	\(6\)
\(+\)	\(+\)	\(-\)	\(+\)	\(-\)	\(+\)	\(199\)	\(15\)	\(184\)	\(193\)	\(15\)	\(178\)	\(6\)	\(0\)	\(6\)
\(+\)	\(+\)	\(-\)	\(-\)	\(+\)	\(+\)	\(198\)	\(12\)	\(186\)	\(192\)	\(12\)	\(180\)	\(6\)	\(0\)	\(6\)
\(+\)	\(+\)	\(-\)	\(-\)	\(-\)	\(-\)	\(202\)	\(15\)	\(187\)	\(196\)	\(15\)	\(181\)	\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(+\)	\(+\)	\(+\)	\(-\)	\(198\)	\(13\)	\(185\)	\(192\)	\(13\)	\(179\)	\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(+\)	\(+\)	\(-\)	\(+\)	\(204\)	\(15\)	\(189\)	\(198\)	\(15\)	\(183\)	\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(+\)	\(-\)	\(+\)	\(+\)	\(204\)	\(12\)	\(192\)	\(198\)	\(12\)	\(186\)	\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(+\)	\(-\)	\(-\)	\(-\)	\(199\)	\(15\)	\(184\)	\(193\)	\(15\)	\(178\)	\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(-\)	\(+\)	\(+\)	\(+\)	\(204\)	\(11\)	\(193\)	\(198\)	\(11\)	\(187\)	\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(-\)	\(+\)	\(-\)	\(-\)	\(200\)	\(15\)	\(185\)	\(194\)	\(15\)	\(179\)	\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(-\)	\(-\)	\(+\)	\(-\)	\(204\)	\(18\)	\(186\)	\(198\)	\(18\)	\(180\)	\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(-\)	\(-\)	\(-\)	\(+\)	\(197\)	\(10\)	\(187\)	\(191\)	\(10\)	\(181\)	\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(+\)	\(+\)	\(+\)	\(-\)	\(198\)	\(12\)	\(186\)	\(192\)	\(12\)	\(180\)	\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(+\)	\(+\)	\(-\)	\(+\)	\(202\)	\(15\)	\(187\)	\(196\)	\(15\)	\(181\)	\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(+\)	\(-\)	\(+\)	\(+\)	\(204\)	\(13\)	\(191\)	\(198\)	\(13\)	\(185\)	\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(+\)	\(-\)	\(-\)	\(-\)	\(201\)	\(15\)	\(186\)	\(195\)	\(15\)	\(180\)	\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(-\)	\(+\)	\(+\)	\(+\)	\(210\)	\(12\)	\(198\)	\(204\)	\(12\)	\(192\)	\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(-\)	\(+\)	\(-\)	\(-\)	\(194\)	\(15\)	\(179\)	\(188\)	\(15\)	\(173\)	\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(-\)	\(-\)	\(+\)	\(-\)	\(198\)	\(17\)	\(181\)	\(192\)	\(17\)	\(175\)	\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(-\)	\(-\)	\(-\)	\(+\)	\(203\)	\(10\)	\(193\)	\(197\)	\(10\)	\(187\)	\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(+\)	\(+\)	\(+\)	\(+\)	\(198\)	\(12\)	\(186\)	\(192\)	\(12\)	\(180\)	\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(+\)	\(+\)	\(-\)	\(-\)	\(203\)	\(15\)	\(188\)	\(197\)	\(15\)	\(182\)	\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(+\)	\(-\)	\(+\)	\(-\)	\(198\)	\(17\)	\(181\)	\(192\)	\(17\)	\(175\)	\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(+\)	\(-\)	\(-\)	\(+\)	\(204\)	\(10\)	\(194\)	\(198\)	\(10\)	\(188\)	\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(-\)	\(+\)	\(+\)	\(-\)	\(210\)	\(18\)	\(192\)	\(204\)	\(18\)	\(186\)	\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(-\)	\(+\)	\(-\)	\(+\)	\(193\)	\(10\)	\(183\)	\(187\)	\(10\)	\(177\)	\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(-\)	\(-\)	\(+\)	\(+\)	\(192\)	\(7\)	\(185\)	\(186\)	\(7\)	\(179\)	\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(-\)	\(-\)	\(-\)	\(-\)	\(208\)	\(20\)	\(188\)	\(202\)	\(20\)	\(182\)	\(6\)	\(0\)	\(6\)
Plus space					\(+\)	\(3192\)	\(196\)	\(2996\)	\(3097\)	\(196\)	\(2901\)	\(95\)	\(0\)	\(95\)
Minus space					\(-\)	\(3240\)	\(240\)	\(3000\)	\(3144\)	\(240\)	\(2904\)	\(96\)	\(0\)	\(96\)

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more

Defining parameters

Dimensions

Trace form

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(25410))\) into newform subspaces

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(25410))\) into lower level spaces

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	25410.2.a
Level	$25410$
Weight	$2$
Character orbit	25410.a
Rep. character	$\chi_{25410}(1,\cdot)$
Character field	$\Q$
Dimension	$436$
Newform subspaces	$171$
Sturm bound	$12672$