Newform search results

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

Results (10 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7
448.4.a.d	$448$	$4$	448.a	1.a	$1$	$1$	$1$	$26.433$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(-6\)	\(7\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{3}-6q^{5}+7q^{7}-11q^{9}+12q^{11}+\cdots\)
448.4.a.g	$448$	$4$	448.a	1.a	$1$	$1$	$1$	$26.433$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(12\)	\(-7\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+12q^{5}-7q^{7}-23q^{9}+48q^{11}+\cdots\)
448.4.a.j	$448$	$4$	448.a	1.a	$1$	$1$	$1$	$26.433$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(7\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+7q^{7}-23q^{9}-20q^{11}+20q^{13}+\cdots\)
448.4.a.k	$448$	$4$	448.a	1.a	$1$	$1$	$1$	$26.433$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(12\)	\(7\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+12q^{5}+7q^{7}-23q^{9}-48q^{11}+\cdots\)
448.4.a.m	$448$	$4$	448.a	1.a	$1$	$1$	$1$	$26.433$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(4\)	\(-6\)	\(-7\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{3}-6q^{5}-7q^{7}-11q^{9}-12q^{11}+\cdots\)
448.4.a.q	$448$	$4$	448.a	1.a	$1$	$2$	$2$	$26.433$	\(\Q(\sqrt{37}) \)	None	✓	$1$	$1$	\(0\)	\(-6\)	\(6\)	\(-14\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-3-\beta )q^{3}+(3-\beta )q^{5}-7q^{7}+(19+\cdots)q^{9}+\cdots\)
448.4.a.r	$448$	$4$	448.a	1.a	$1$	$2$	$2$	$26.433$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-22\)	\(-14\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{3}+(-11-\beta )q^{5}-7q^{7}+\cdots\)
448.4.a.s	$448$	$4$	448.a	1.a	$1$	$2$	$2$	$26.433$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-22\)	\(14\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(-11-\beta )q^{5}+7q^{7}+\cdots\)
448.4.a.u	$448$	$4$	448.a	1.a	$1$	$3$	$3$	$26.433$	3.3.2981.1	None	✓	$1$	$1$	\(0\)	\(-8\)	\(-10\)	\(21\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-3-\beta _{1})q^{3}+(-3-\beta _{2})q^{5}+7q^{7}+\cdots\)
448.4.a.v	$448$	$4$	448.a	1.a	$1$	$3$	$3$	$26.433$	3.3.621.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(6\)	\(-21\)		$-$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(2+2\beta _{1}+\beta _{2})q^{5}-7q^{7}+\cdots\)