Newform search results

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

Results (15 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
448.6.a.b	$448$	$6$	448.a	1.a	$1$	$1$	$1$	$71.852$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-26\)	\(-16\)	\(-49\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-26q^{3}-2^{4}q^{5}-7^{2}q^{7}+433q^{9}+\cdots\)
448.6.a.c	$448$	$6$	448.a	1.a	$1$	$1$	$1$	$71.852$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-14\)	\(56\)	\(49\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-14q^{3}+56q^{5}+7^{2}q^{7}-47q^{9}+\cdots\)
448.6.a.f	$448$	$6$	448.a	1.a	$1$	$1$	$1$	$71.852$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-8\)	\(-10\)	\(-49\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{3}-10q^{5}-7^{2}q^{7}-179q^{9}+\cdots\)
448.6.a.k	$448$	$6$	448.a	1.a	$1$	$1$	$1$	$71.852$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(8\)	\(-10\)	\(49\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+8q^{3}-10q^{5}+7^{2}q^{7}-179q^{9}+\cdots\)
448.6.a.m	$448$	$6$	448.a	1.a	$1$	$1$	$1$	$71.852$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(14\)	\(56\)	\(-49\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+14q^{3}+56q^{5}-7^{2}q^{7}-47q^{9}+\cdots\)
448.6.a.n	$448$	$6$	448.a	1.a	$1$	$1$	$1$	$71.852$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(14\)	\(64\)	\(49\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+14q^{3}+2^{6}q^{5}+7^{2}q^{7}-47q^{9}+\cdots\)
448.6.a.o	$448$	$6$	448.a	1.a	$1$	$1$	$1$	$71.852$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(26\)	\(-16\)	\(49\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+26q^{3}-2^{4}q^{5}+7^{2}q^{7}+433q^{9}+\cdots\)
448.6.a.r	$448$	$6$	448.a	1.a	$1$	$2$	$2$	$71.852$	\(\Q(\sqrt{193}) \)	None	✓	$1$	$1$	\(0\)	\(-14\)	\(-42\)	\(98\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-7-\beta )q^{3}+(-21-5\beta )q^{5}+7^{2}q^{7}+\cdots\)
448.6.a.s	$448$	$6$	448.a	1.a	$1$	$2$	$2$	$71.852$	\(\Q(\sqrt{61}) \)	None	✓	$1$	$1$	\(0\)	\(-14\)	\(-34\)	\(98\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-7-\beta )q^{3}+(-17+7\beta )q^{5}+7^{2}q^{7}+\cdots\)
448.6.a.t	$448$	$6$	448.a	1.a	$1$	$2$	$2$	$71.852$	\(\Q(\sqrt{345}) \)	None	✓	$1$	$1$	\(0\)	\(-6\)	\(-82\)	\(98\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-3-\beta )q^{3}+(-41+3\beta )q^{5}+7^{2}q^{7}+\cdots\)
448.6.a.v	$448$	$6$	448.a	1.a	$1$	$2$	$2$	$71.852$	\(\Q(\sqrt{345}) \)	None	✓	$1$	$1$	\(0\)	\(6\)	\(-82\)	\(-98\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(3+\beta )q^{3}+(-41+3\beta )q^{5}-7^{2}q^{7}+\cdots\)
448.6.a.x	$448$	$6$	448.a	1.a	$1$	$2$	$2$	$71.852$	\(\Q(\sqrt{193}) \)	None	✓	$1$	$1$	\(0\)	\(14\)	\(-42\)	\(-98\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(7-\beta )q^{3}+(-21+5\beta )q^{5}-7^{2}q^{7}+\cdots\)
448.6.a.ba	$448$	$6$	448.a	1.a	$1$	$3$	$3$	$71.852$	3.3.367637.1	None	✓	$1$	$1$	\(0\)	\(-8\)	\(14\)	\(-147\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-3-\beta _{1})q^{3}+(5+\beta _{2})q^{5}-7^{2}q^{7}+\cdots\)
448.6.a.bc	$448$	$6$	448.a	1.a	$1$	$4$	$4$	$71.852$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-18\)	\(30\)	\(196\)		$-$	$-$	$+$	$2^{7}$	$\mathrm{SU}(2)$	\(q+(-4-\beta _{1})q^{3}+(7+\beta _{1}+\beta _{2})q^{5}+\cdots\)
448.6.a.be	$448$	$6$	448.a	1.a	$1$	$5$	$5$	$71.852$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-10\)	\(-36\)	\(-245\)		$+$	$+$	$+$	$2^{12}$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1})q^{3}+(-7+\beta _{3})q^{5}-7^{2}q^{7}+\cdots\)