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Results (12 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
551.1.d.a	$551$	$1$	551.d	551.d	$2$	$6$	$6$	$0.275$	\(\Q(\zeta_{26})^+\)	$D_{13}$	\(\Q(\sqrt{-551}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q-\beta _{3}q^{2}+(-1+\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{3}+\cdots\)
551.1.d.b	$551$	$1$	551.d	551.d	$2$	$6$	$6$	$0.275$	\(\Q(\zeta_{26})^+\)	$D_{13}$	\(\Q(\sqrt{-551}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(-1\)	\(-1\)	$1$		\(q+\beta _{3}q^{2}+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4}+\cdots)q^{3}+\cdots\)
2755.1.b.a	$2755$	$1$	2755.b	2755.b	$2$	$1$	$1$	$1.375$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-551}) \), \(\Q(\sqrt{-2755}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}+q^{9}+q^{16}-q^{19}-q^{20}+\cdots\)
2755.1.b.b	$2755$	$1$	2755.b	2755.b	$2$	$1$	$1$	$1.375$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-551}) \), \(\Q(\sqrt{-2755}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}+q^{9}+q^{16}+q^{19}-q^{20}+\cdots\)
2755.1.b.c	$2755$	$1$	2755.b	2755.b	$2$	$12$	$12$	$1.375$	\(\Q(\zeta_{26})\)	$D_{26}$	\(\Q(\sqrt{-551}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+(\zeta_{26}^{4}+\zeta_{26}^{9})q^{2}+(\zeta_{26}^{5}+\zeta_{26}^{8}+\cdots)q^{3}+\cdots\)
2755.1.b.d	$2755$	$1$	2755.b	2755.b	$2$	$12$	$12$	$1.375$	\(\Q(\zeta_{26})\)	$D_{26}$	\(\Q(\sqrt{-551}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+(-\zeta_{26}^{4}-\zeta_{26}^{9})q^{2}+(-\zeta_{26}^{5}-\zeta_{26}^{8}+\cdots)q^{3}+\cdots\)
3857.1.x.a	$3857$	$1$	3857.x	3857.x	$6$	$2$	$1$	$1.925$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-551}) \)	None		$4$	$0$	\(-2\)	\(1\)	\(1\)	\(2\)	$1$		\(q+\zeta_{6}^{2}q^{2}+\zeta_{6}q^{3}-3\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\cdots\)
3857.1.x.b	$3857$	$1$	3857.x	3857.x	$6$	$2$	$1$	$1.925$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-551}) \)	None		$4$	$0$	\(2\)	\(-1\)	\(1\)	\(2\)	$1$		\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{3}-3\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\cdots\)
3857.1.x.c	$3857$	$1$	3857.x	3857.x	$6$	$24$	$12$	$1.925$	\(\Q(\zeta_{39})\)	$D_{39}$	\(\Q(\sqrt{-551}) \)	None		$4$	$0$	\(-2\)	\(1\)	\(-1\)	\(-2\)	$1$		\(q+(\zeta_{78}^{7}+\zeta_{78}^{19})q^{2}+(\zeta_{78}^{25}+\zeta_{78}^{27}+\cdots)q^{3}+\cdots\)
3857.1.x.d	$3857$	$1$	3857.x	3857.x	$6$	$24$	$12$	$1.925$	\(\Q(\zeta_{39})\)	$D_{39}$	\(\Q(\sqrt{-551}) \)	None		$4$	$0$	\(2\)	\(-1\)	\(-1\)	\(-2\)	$1$		\(q+(-\zeta_{78}^{7}-\zeta_{78}^{19})q^{2}+(-\zeta_{78}^{25}+\cdots)q^{3}+\cdots\)
551.3.d.a	$551$	$3$	551.d	551.d	$2$	$13$	$13$	$15.014$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	$_{}$	\(\Q(\sqrt{-551}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{1}q^{2}-\beta _{11}q^{3}+(4+\beta _{2})q^{4}+(\beta _{4}+\cdots)q^{5}+\cdots\)
551.3.d.b	$551$	$3$	551.d	551.d	$2$	$13$	$13$	$15.014$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	$_{}$	\(\Q(\sqrt{-551}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{2}+\beta _{11}q^{3}+(4+\beta _{2})q^{4}+(\beta _{4}+\cdots)q^{5}+\cdots\)