Newform search results

The results below are complete, since the LMFDB contains all newforms with $Nk^2$ at most 4000

Results (7 matches)

  Download displayed columns for results to

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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	11
363.2.a.a	$363$	$2$	363.a	1.a	$1$	$1$	$1$	$2.899$	\(\Q\)	None	✓	✓			363.2.a.a	$1$	$0$	\(-2\)	\(-1\)	\(4\)	\(1\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+2q^{4}+4q^{5}+2q^{6}+\cdots\)
363.2.a.b	$363$	$2$	363.a	1.a	$1$	$1$	$1$	$2.899$	\(\Q\)	None	✓				33.2.a.a	$1$	$0$	\(-1\)	\(-1\)	\(-2\)	\(-4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-2q^{5}+q^{6}-4q^{7}+\cdots\)
363.2.a.c	$363$	$2$	363.a	1.a	$1$	$1$	$1$	$2.899$	\(\Q\)	None	✓	✓			363.2.a.a	$1$	$0$	\(2\)	\(-1\)	\(4\)	\(-1\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-q^{3}+2q^{4}+4q^{5}-2q^{6}+\cdots\)
363.2.a.g	$363$	$2$	363.a	1.a	$1$	$2$	$2$	$2.899$	\(\Q(\sqrt{5}) \)	None	✓	✓			363.2.a.g	$2$	$0$	\(0\)	\(2\)	\(4\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+q^{3}+3q^{4}+2q^{5}-\beta q^{6}+\cdots\)
363.2.a.h	$363$	$2$	363.a	1.a	$1$	$2$	$2$	$2.899$	\(\Q(\sqrt{5}) \)	None	✓				33.2.e.a	$1$	$0$	\(1\)	\(2\)	\(-3\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(-2+\beta )q^{5}+\cdots\)
363.2.a.i	$363$	$2$	363.a	1.a	$1$	$2$	$2$	$2.899$	\(\Q(\sqrt{5}) \)	None	✓		✓		33.2.e.b	$1$	$0$	\(3\)	\(-2\)	\(1\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}-q^{3}+3\beta q^{4}+(1-\beta )q^{5}+\cdots\)
363.2.a.j	$363$	$2$	363.a	1.a	$1$	$4$	$4$	$2.899$	\(\Q(\sqrt{3}, \sqrt{11})\)	None	✓	✓	✓		363.2.a.j	$2$	$0$	\(0\)	\(4\)	\(2\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{3})q^{4}-\beta _{3}q^{5}+\cdots\)

  Download displayed columns for results to