Newform search results

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

Results (12 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
1792.2.a.a	$1792$	$2$	1792.a	1.a	$1$	$1$	$1$	$14.309$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-4\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-4q^{5}+q^{7}+q^{9}-2q^{11}+\cdots\)
1792.2.a.b	$1792$	$2$	1792.a	1.a	$1$	$1$	$1$	$14.309$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{5}+q^{7}+q^{9}+2q^{13}+\cdots\)
1792.2.a.c	$1792$	$2$	1792.a	1.a	$1$	$1$	$1$	$14.309$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(2\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{5}-q^{7}+q^{9}-2q^{13}+\cdots\)
1792.2.a.e	$1792$	$2$	1792.a	1.a	$1$	$1$	$1$	$14.309$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-4\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-4q^{5}-q^{7}+q^{9}+2q^{11}+\cdots\)
1792.2.a.i	$1792$	$2$	1792.a	1.a	$1$	$2$	$2$	$14.309$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+(-1+\beta )q^{5}-q^{7}+\cdots\)
1792.2.a.j	$1792$	$2$	1792.a	1.a	$1$	$2$	$2$	$14.309$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(-2\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{3}+(-1-\beta )q^{5}-q^{7}+\cdots\)
1792.2.a.l	$1792$	$2$	1792.a	1.a	$1$	$2$	$2$	$14.309$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(2\)	\(2\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{3}+(1+\beta )q^{5}+q^{7}+(3+\cdots)q^{9}+\cdots\)
1792.2.a.n	$1792$	$2$	1792.a	1.a	$1$	$2$	$2$	$14.309$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+\beta q^{5}-q^{7}-q^{9}-2\beta q^{11}+\cdots\)
1792.2.a.o	$1792$	$2$	1792.a	1.a	$1$	$2$	$2$	$14.309$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{5}+q^{7}-3q^{9}+\beta q^{11}+\beta q^{13}+\cdots\)
1792.2.a.p	$1792$	$2$	1792.a	1.a	$1$	$2$	$2$	$14.309$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-\beta q^{5}+q^{7}-q^{9}-2\beta q^{11}+\cdots\)
1792.2.a.q	$1792$	$2$	1792.a	1.a	$1$	$2$	$2$	$14.309$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(-1-\beta )q^{5}+q^{7}+(1+\cdots)q^{9}+\cdots\)
1792.2.a.u	$1792$	$2$	1792.a	1.a	$1$	$4$	$4$	$14.309$	\(\Q(\zeta_{16})^+\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{1}q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots\)