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Level	Weight	Analytic conductor	\(Nk^2\)	Dim.
Bad \(p\)	Char.	Primitive character	Character order	Coefficient field
Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank
Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (11 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1441.1.u.a	$1441$	$1$	1441.u	1441.u	$10$	$20$	$5$	$0.719$	\(\Q(\zeta_{50})\)	$D_{25}$	\(\Q(\sqrt{-131}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+(-\zeta_{50}^{9}-\zeta_{50}^{21})q^{3}+\zeta_{50}^{10}q^{4}+\cdots\)
1441.2.a.a	$1441$	$2$	1441.a	1.a	$1$	$1$	$1$	$11.506$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-1\)	\(1\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}+q^{5}+2q^{7}-2q^{9}-q^{11}+\cdots\)
1441.2.a.b	$1441$	$2$	1441.a	1.a	$1$	$1$	$1$	$11.506$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(2\)	\(3\)	\(-2\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+2q^{4}-2q^{5}+6q^{6}+\cdots\)
1441.2.a.c	$1441$	$2$	1441.a	1.a	$1$	$23$	$23$	$11.506$		$_{}$	None	None	✓	$1$	$1$	\(-7\)	\(-3\)	\(-9\)	\(-12\)	$+$		$\mathrm{SU}(2)$
1441.2.a.d	$1441$	$2$	1441.a	1.a	$1$	$23$	$23$	$11.506$		$_{}$	None	None	✓	$1$	$1$	\(-7\)	\(-3\)	\(-9\)	\(-8\)	$+$		$\mathrm{SU}(2)$
1441.2.a.e	$1441$	$2$	1441.a	1.a	$1$	$28$	$28$	$11.506$		$_{}$	None	None	✓	$1$	$0$	\(7\)	\(-2\)	\(3\)	\(7\)	$-$		$\mathrm{SU}(2)$
1441.2.a.f	$1441$	$2$	1441.a	1.a	$1$	$31$	$31$	$11.506$		$_{}$	None	None	✓	$1$	$0$	\(6\)	\(4\)	\(8\)	\(4\)	$-$		$\mathrm{SU}(2)$
1441.4.a.a	$1441$	$4$	1441.a	1.a	$1$	$77$	$77$	$85.022$		$_{}$	None	None	✓	$1$	$1$	\(-14\)	\(-10\)	\(-42\)	\(-59\)	$-$		$\mathrm{SU}(2)$
1441.4.a.b	$1441$	$4$	1441.a	1.a	$1$	$79$	$79$	$85.022$		$_{}$	None	None	✓	$1$	$1$	\(-20\)	\(-12\)	\(-40\)	\(-101\)	$-$		$\mathrm{SU}(2)$
1441.4.a.c	$1441$	$4$	1441.a	1.a	$1$	$84$	$84$	$85.022$		$_{}$	None	None	✓	$1$	$0$	\(12\)	\(14\)	\(38\)	\(11\)	$+$		$\mathrm{SU}(2)$
1441.4.a.d	$1441$	$4$	1441.a	1.a	$1$	$86$	$86$	$85.022$		$_{}$	None	None	✓	$1$	$0$	\(18\)	\(12\)	\(40\)	\(109\)	$+$		$\mathrm{SU}(2)$