Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (13 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	11
825.6.a.b	$825$	$6$	825.a	1.a	$1$	$1$	$1$	$132.317$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(9\)	\(0\)	\(-148\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+9q^{3}-28q^{4}+18q^{6}-148q^{7}+\cdots\)
825.6.a.c	$825$	$6$	825.a	1.a	$1$	$2$	$2$	$132.317$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(-13\)	\(-18\)	\(0\)	\(-146\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-6-\beta )q^{2}-9q^{3}+(12+13\beta )q^{4}+\cdots\)
825.6.a.d	$825$	$6$	825.a	1.a	$1$	$2$	$2$	$132.317$	\(\Q(\sqrt{313}) \)	None	✓	$1$	$1$	\(-1\)	\(18\)	\(0\)	\(18\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+9q^{3}+(46+\beta )q^{4}-9\beta q^{6}+\cdots\)
825.6.a.f	$825$	$6$	825.a	1.a	$1$	$3$	$3$	$132.317$	3.3.307532.1	None	✓	$1$	$1$	\(-7\)	\(27\)	\(0\)	\(-92\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-2-\beta _{1})q^{2}+9q^{3}+(24+2\beta _{1}+\cdots)q^{4}+\cdots\)
825.6.a.g	$825$	$6$	825.a	1.a	$1$	$3$	$3$	$132.317$	3.3.18257.1	None	✓	$1$	$1$	\(-2\)	\(27\)	\(0\)	\(68\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+9q^{3}+(-14-\beta _{1}+\cdots)q^{4}+\cdots\)
825.6.a.j	$825$	$6$	825.a	1.a	$1$	$3$	$3$	$132.317$	3.3.34253.1	None	✓	$1$	$1$	\(7\)	\(-27\)	\(0\)	\(172\)		$+$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(2+\beta _{1})q^{2}-9q^{3}+(7+4\beta _{1}+\beta _{2})q^{4}+\cdots\)
825.6.a.l	$825$	$6$	825.a	1.a	$1$	$5$	$5$	$132.317$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(2\)	\(-45\)	\(0\)	\(-184\)		$+$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-9q^{3}+(2^{4}+\beta _{2})q^{4}-9\beta _{1}q^{6}+\cdots\)
825.6.a.m	$825$	$6$	825.a	1.a	$1$	$7$	$7$	$132.317$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-9\)	\(63\)	\(0\)	\(-65\)		$-$	$+$	$-$	$+$	$2^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+9q^{3}+(13+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
825.6.a.o	$825$	$6$	825.a	1.a	$1$	$7$	$7$	$132.317$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(9\)	\(-63\)	\(0\)	\(65\)		$+$	$-$	$-$	$+$	$2^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}-9q^{3}+(13+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
825.6.a.p	$825$	$6$	825.a	1.a	$1$	$8$	$8$	$132.317$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-9\)	\(72\)	\(0\)	\(66\)		$-$	$-$	$+$	$+$	$2^{2}\cdot 3^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+9q^{3}+(13+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
825.6.a.q	$825$	$6$	825.a	1.a	$1$	$8$	$8$	$132.317$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(9\)	\(-72\)	\(0\)	\(-66\)		$+$	$+$	$+$	$+$	$2^{2}\cdot 3^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}-9q^{3}+(13+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
825.6.a.v	$825$	$6$	825.a	1.a	$1$	$13$	$13$	$132.317$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(-13\)	\(-117\)	\(0\)	\(-304\)		$+$	$-$	$-$	$+$	$2^{9}\cdot 3^{2}\cdot 5^{7}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}-9q^{3}+(2^{4}-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
825.6.a.w	$825$	$6$	825.a	1.a	$1$	$13$	$13$	$132.317$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(117\)	\(0\)	\(-284\)		$-$	$-$	$+$	$+$	$2^{9}\cdot 5^{6}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+9q^{3}+(17+\beta _{1}+\beta _{2})q^{4}+\cdots\)