Newform search results

The results below are complete, since the LMFDB contains all newforms with trivial character and $Nk^2$ at most 40000

Results (6 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	23
736.4.a.a	$736$	$4$	736.a	1.a	$1$	$3$	$3$	$43.425$	3.3.11032.1	None	✓	✓			736.4.a.a	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(16\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(4+\cdots)q^{7}+\cdots\)
736.4.a.b	$736$	$4$	736.a	1.a	$1$	$3$	$3$	$43.425$	3.3.11032.1	None	✓	✓			736.4.a.a	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-16\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(-4+\cdots)q^{7}+\cdots\)
736.4.a.c	$736$	$4$	736.a	1.a	$1$	$4$	$4$	$43.425$	4.4.310848.1	None	✓	✓			736.4.a.c	$1$	$1$	\(0\)	\(0\)	\(-20\)	\(-44\)		$+$	$-$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(-5+\beta _{1}-\beta _{2}+\beta _{3})q^{5}+\cdots\)
736.4.a.d	$736$	$4$	736.a	1.a	$1$	$4$	$4$	$43.425$	4.4.310848.1	None	✓	✓			736.4.a.c	$1$	$1$	\(0\)	\(0\)	\(-20\)	\(44\)		$-$	$+$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-5+\beta _{1}-\beta _{2}+\beta _{3})q^{5}+\cdots\)
736.4.a.e	$736$	$4$	736.a	1.a	$1$	$8$	$8$	$43.425$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	✓	✓		736.4.a.e	$1$	$1$	\(0\)	\(-12\)	\(-12\)	\(14\)		$+$	$-$	$-$	$2^{8}$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1})q^{3}+(-1-\beta _{3})q^{5}+(2+\cdots)q^{7}+\cdots\)
736.4.a.h	$736$	$4$	736.a	1.a	$1$	$9$	$9$	$43.425$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	✓	✓		736.4.a.h	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-42\)		$-$	$+$	$-$	$2^{10}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}-\beta _{5}q^{5}+(-5+\beta _{3})q^{7}+(8+\cdots)q^{9}+\cdots\)

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