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Results (12 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1915.1.b.a	$1915$	$1$	1915.b	1915.b	$2$	$1$	$1$	$0.956$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1915}) \)	None	✓	✓	1915.1.b.a	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)		$1$		\(q+q^{4}-q^{5}+q^{9}+q^{13}+q^{16}-q^{19}+\cdots\)
1915.1.b.b	$1915$	$1$	1915.b	1915.b	$2$	$1$	$1$	$0.956$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1915}) \)	None	✓	✓	1915.1.b.a	$2$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$1$		\(q+q^{4}+q^{5}+q^{9}-q^{13}+q^{16}-q^{19}+\cdots\)
1915.2.a.a	$1915$	$2$	1915.a	1.a	$1$	$2$	$2$	$15.291$	\(\Q(\sqrt{5}) \)	$_{}$	None	None	✓	✓	1915.2.a.a	$1$	$1$	\(1\)	\(-1\)	\(2\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-\beta q^{3}+(-1+\beta )q^{4}+q^{5}+\cdots\)
1915.2.a.b	$1915$	$2$	1915.a	1.a	$1$	$19$	$19$	$15.291$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	$_{}$	None	None	✓	✓	1915.2.a.b	$1$	$1$	\(-5\)	\(-4\)	\(19\)	\(-7\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{14}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
1915.2.a.c	$1915$	$2$	1915.a	1.a	$1$	$26$	$26$	$15.291$		$_{}$	None	None	✓	✓	1915.2.a.c	$1$	$0$	\(4\)	\(5\)	\(-26\)	\(6\)	$-$		$\mathrm{SU}(2)$
1915.2.a.d	$1915$	$2$	1915.a	1.a	$1$	$37$	$37$	$15.291$		$_{}$	None	None	✓	✓	1915.2.a.d	$1$	$1$	\(-7\)	\(-9\)	\(-37\)	\(-14\)	$+$		$\mathrm{SU}(2)$
1915.2.a.e	$1915$	$2$	1915.a	1.a	$1$	$43$	$43$	$15.291$		$_{}$	None	None	✓	✓	1915.2.a.e	$1$	$0$	\(4\)	\(5\)	\(43\)	\(6\)	$-$		$\mathrm{SU}(2)$
1915.2.c.a	$1915$	$2$	1915.c	5.b	$2$	$190$	$190$	$15.291$		$_{}$	None	None		✓	1915.2.c.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
1915.4.a.a	$1915$	$4$	1915.a	1.a	$1$	$84$	$84$	$112.989$		$_{}$	None	None	✓	✓	1915.4.a.a	$1$	$1$	\(-9\)	\(-22\)	\(420\)	\(-73\)	$-$		$\mathrm{SU}(2)$
1915.4.a.b	$1915$	$4$	1915.a	1.a	$1$	$90$	$90$	$112.989$		$_{}$	None	None	✓	✓	1915.4.a.b	$1$	$0$	\(13\)	\(20\)	\(-450\)	\(67\)	$+$		$\mathrm{SU}(2)$
1915.4.a.c	$1915$	$4$	1915.a	1.a	$1$	$101$	$101$	$112.989$		$_{}$	None	None	✓	✓	1915.4.a.c	$1$	$1$	\(-9\)	\(-22\)	\(-505\)	\(-73\)	$-$		$\mathrm{SU}(2)$
1915.4.a.d	$1915$	$4$	1915.a	1.a	$1$	$107$	$107$	$112.989$		$_{}$	None	None	✓	✓	1915.4.a.d	$1$	$0$	\(13\)	\(20\)	\(535\)	\(67\)	$+$		$\mathrm{SU}(2)$