Newform search results

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

Results (8 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		7	17
2023.4.a.a	$2023$	$4$	2023.a	1.a	$1$	$1$	$1$	$119.361$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(-16\)	\(7\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}-7q^{4}-2^{4}q^{5}-2q^{6}+\cdots\)
2023.4.a.b	$2023$	$4$	2023.a	1.a	$1$	$1$	$1$	$119.361$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(6\)	\(20\)	\(7\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+6q^{3}-7q^{4}+20q^{5}-6q^{6}+\cdots\)
2023.4.a.e	$2023$	$4$	2023.a	1.a	$1$	$3$	$3$	$119.361$	3.3.2429.1	None	✓	$1$	$1$	\(-1\)	\(-5\)	\(19\)	\(21\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1-\beta _{1}+\beta _{2})q^{3}+(2+\beta _{1}+\cdots)q^{4}+\cdots\)
2023.4.a.g	$2023$	$4$	2023.a	1.a	$1$	$7$	$7$	$119.361$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(4\)	\(-5\)	\(-35\)	\(49\)		$-$	$+$	$-$	$3$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(-1+\beta _{2}+\beta _{3})q^{3}+\cdots\)
2023.4.a.j	$2023$	$4$	2023.a	1.a	$1$	$11$	$11$	$119.361$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(-7\)	\(2\)	\(-2\)	\(77\)		$-$	$+$	$-$	$2^{8}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+\beta _{3}q^{3}+(4-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
2023.4.a.m	$2023$	$4$	2023.a	1.a	$1$	$13$	$13$	$119.361$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-14\)	\(-20\)	\(91\)		$-$	$+$	$-$	$2^{7}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1-\beta _{6})q^{3}+(5+\beta _{2})q^{4}+\cdots\)
2023.4.a.o	$2023$	$4$	2023.a	1.a	$1$	$26$	$26$	$119.361$		None	✓	$1$	$1$	\(-8\)	\(-12\)	\(-40\)	\(182\)		$-$	$+$	$-$		$\mathrm{SU}(2)$
2023.4.a.r	$2023$	$4$	2023.a	1.a	$1$	$33$	$33$	$119.361$		None	✓	$1$	$1$	\(-12\)	\(0\)	\(0\)	\(231\)		$-$	$+$	$-$		$\mathrm{SU}(2)$