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Results (13 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
323.1.c.a	$323$	$1$	323.c	323.c	$2$	$1$	$1$	$0.161$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-323}) \)	\(\Q(\sqrt{17}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}-q^{9}+q^{16}-q^{17}-q^{19}+q^{25}+\cdots\)
1292.1.f.a	$1292$	$1$	1292.f	323.c	$2$	$1$	$1$	$0.645$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-323}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{17}+q^{19}+q^{25}+q^{27}+\cdots\)
1292.1.f.b	$1292$	$1$	1292.f	323.c	$2$	$1$	$1$	$0.645$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-323}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{17}+q^{19}+q^{25}-q^{27}+\cdots\)
1292.1.f.d	$1292$	$1$	1292.f	323.c	$2$	$2$	$2$	$0.645$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-323}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta q^{3}+2q^{9}-q^{17}-q^{19}+q^{25}+\cdots\)
2907.1.b.a	$2907$	$1$	2907.b	323.c	$2$	$1$	$1$	$1.451$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-323}) \)	\(\Q(\sqrt{17}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}+q^{16}+q^{17}-q^{19}+q^{25}+\cdots\)
2907.1.bl.a	$2907$	$1$	2907.bl	2907.al	$6$	$2$	$1$	$1.451$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-323}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{3}+\zeta_{6}^{2}q^{4}+q^{9}-\zeta_{6}^{2}q^{12}-\zeta_{6}q^{16}+\cdots\)
2907.1.bl.b	$2907$	$1$	2907.bl	2907.al	$6$	$2$	$1$	$1.451$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-323}) \)	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+q^{3}+\zeta_{6}^{2}q^{4}+q^{9}+\zeta_{6}^{2}q^{12}-\zeta_{6}q^{16}+\cdots\)
2907.1.bl.d	$2907$	$1$	2907.bl	2907.al	$6$	$4$	$2$	$1.451$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-323}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{12}^{3}q^{3}-\zeta_{12}^{2}q^{4}-q^{9}+\zeta_{12}^{5}q^{12}+\cdots\)
969.2.h.b	$969$	$2$	969.h	969.h	$2$	$8$	$8$	$7.738$	8.0.\(\cdots\).4	$_{}$	\(\Q(\sqrt{-323}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$3$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{7}q^{3}-2q^{4}-\beta _{6}q^{9}-2\beta _{7}q^{12}+\cdots\)
323.3.c.c	$323$	$3$	323.c	323.c	$2$	$2$	$2$	$8.801$	\(\Q(\sqrt{17}) \)	$_{}$	\(\Q(\sqrt{-323}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta q^{3}+4q^{4}+8q^{9}-4\beta q^{12}+2^{4}q^{16}+\cdots\)
323.3.c.d	$323$	$3$	323.c	323.c	$2$	$2$	$2$	$8.801$	\(\Q(\sqrt{19}) \)	$_{}$	\(\Q(\sqrt{-323}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta q^{3}+4q^{4}+10q^{9}+4\beta q^{12}+2^{4}q^{16}+\cdots\)
1292.3.f.c	$1292$	$3$	1292.f	323.c	$2$	$4$	$4$	$35.204$	\(\Q(\sqrt{19}, \sqrt{51})\)	$_{}$	\(\Q(\sqrt{-323}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{3}+(9+\beta _{2})q^{9}-17q^{17}+19q^{19}+\cdots\)
1292.3.f.d	$1292$	$3$	1292.f	323.c	$2$	$4$	$4$	$35.204$	\(\Q(\sqrt{17}, \sqrt{57})\)	$_{}$	\(\Q(\sqrt{-323}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{3}+(10+\beta _{3})q^{9}+17q^{17}-19q^{19}+\cdots\)