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Results (25 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
211.1.b.a	$211$	$1$	211.b	211.b	$2$	$1$	$1$	$0.105$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-211}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}+q^{9}-q^{11}-q^{13}+q^{16}+\cdots\)
844.1.c.a	$844$	$1$	844.c	211.b	$2$	$3$	$3$	$0.421$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-211}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{5}+q^{9}+\beta _{2}q^{11}+(\beta _{1}-\beta _{2})q^{13}+\cdots\)
1055.1.d.b	$1055$	$1$	1055.d	1055.d	$2$	$1$	$1$	$0.527$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-211}) \), \(\Q(\sqrt{-1055}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{4}-q^{5}-q^{9}+2q^{11}+q^{16}+2q^{19}+\cdots\)
1055.1.d.e	$1055$	$1$	1055.d	1055.d	$2$	$2$	$2$	$0.527$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-211}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{4}-\zeta_{6}^{2}q^{5}-q^{9}-q^{11}+(-\zeta_{6}+\cdots)q^{13}+\cdots\)
1899.1.c.a	$1899$	$1$	1899.c	211.b	$2$	$1$	$1$	$0.948$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-211}) \)	\(\Q(\sqrt{633}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}+2q^{13}+q^{16}-2q^{19}-q^{25}+\cdots\)
1899.1.c.b	$1899$	$1$	1899.c	211.b	$2$	$1$	$1$	$0.948$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-211}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{4}+q^{5}+q^{11}-q^{13}+q^{16}-q^{19}+\cdots\)
1899.1.c.c	$1899$	$1$	1899.c	211.b	$2$	$2$	$2$	$0.948$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-211}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}-\beta q^{5}+\beta q^{11}-q^{13}+q^{16}+\cdots\)
2321.1.bc.a	$2321$	$1$	2321.bc	2321.ac	$10$	$4$	$1$	$1.158$	\(\Q(\zeta_{10})\)	$D_{5}$	\(\Q(\sqrt{-211}) \)	None		$4$	$0$	\(0\)	\(0\)	\(3\)	\(0\)	$1$		\(q+\zeta_{10}^{2}q^{4}+(1-\zeta_{10}^{3})q^{5}-\zeta_{10}q^{9}+\cdots\)
2321.1.bc.b	$2321$	$1$	2321.bc	2321.ac	$10$	$8$	$2$	$1.158$	\(\Q(\zeta_{15})\)	$D_{15}$	\(\Q(\sqrt{-211}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-3\)	\(0\)	$1$		\(q+\zeta_{30}^{6}q^{4}+(\zeta_{30}^{4}-\zeta_{30}^{5})q^{5}-\zeta_{30}^{3}q^{9}+\cdots\)
2743.1.d.a	$2743$	$1$	2743.d	2743.d	$2$	$1$	$1$	$1.369$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-211}) \), \(\Q(\sqrt{-2743}) \)	\(\Q(\sqrt{13}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}+q^{9}-q^{13}+q^{16}+q^{25}-q^{36}+\cdots\)
2743.1.d.c	$2743$	$1$	2743.d	2743.d	$2$	$2$	$2$	$1.369$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-211}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}+(\zeta_{6}+\zeta_{6}^{2})q^{5}+q^{9}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{11}+\cdots\)
2743.1.o.a	$2743$	$1$	2743.o	2743.o	$6$	$2$	$1$	$1.369$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-211}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{6}^{2}q^{4}+(\zeta_{6}+\zeta_{6}^{2})q^{5}+\zeta_{6}^{2}q^{9}+\cdots\)
2743.1.o.b	$2743$	$1$	2743.o	2743.o	$6$	$2$	$1$	$1.369$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-211}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{6}^{2}q^{4}+(-\zeta_{6}-\zeta_{6}^{2})q^{5}+\zeta_{6}^{2}q^{9}+\cdots\)
2743.1.o.c	$2743$	$1$	2743.o	2743.o	$6$	$2$	$1$	$1.369$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-211}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{9}+(1-\zeta_{6}^{2})q^{11}+\cdots\)
2743.1.u.a	$2743$	$1$	2743.u	2743.u	$6$	$2$	$1$	$1.369$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-211}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{4}-q^{5}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{11}+\cdots\)
2743.1.u.b	$2743$	$1$	2743.u	2743.u	$6$	$2$	$1$	$1.369$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-211}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{4}-q^{5}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{11}+\cdots\)
2743.1.u.c	$2743$	$1$	2743.u	2743.u	$6$	$2$	$1$	$1.369$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-211}) \)	None		$4$	$0$	\(0\)	\(0\)	\(4\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{4}+q^{5}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{11}+\cdots\)
3376.1.e.a	$3376$	$1$	3376.e	211.b	$2$	$1$	$1$	$1.685$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-211}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{5}+q^{9}+q^{11}-q^{13}+q^{19}-q^{37}+\cdots\)
3376.1.e.b	$3376$	$1$	3376.e	211.b	$2$	$3$	$3$	$1.685$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-211}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\beta _{1}-\beta _{2})q^{5}+q^{9}+\beta _{1}q^{11}+\beta _{2}q^{13}+\cdots\)
211.3.b.a	$211$	$3$	211.b	211.b	$2$	$3$	$3$	$5.749$	3.3.5697.1	$_{}$	\(\Q(\sqrt{-211}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{4}+(2\beta _{1}+\beta _{2})q^{5}+9q^{9}+(-5\beta _{1}+\cdots)q^{11}+\cdots\)
1899.2.d.a	$1899$	$2$	1899.d	633.d	$2$	$12$	$12$	$15.164$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	$_{}$	\(\Q(\sqrt{-211}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$3^{5}$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{4}-\beta _{6}q^{5}-\beta _{11}q^{11}+\beta _{7}q^{13}+\cdots\)
211.5.b.a	$211$	$5$	211.b	211.b	$2$	$3$	$3$	$21.811$	3.3.5697.1	$_{}$	\(\Q(\sqrt{-211}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$3$	$\mathrm{U}(1)[D_{2}]$	\(q+2^{4}q^{4}+(-\beta _{1}+4\beta _{2})q^{5}+3^{4}q^{9}+\cdots\)
844.3.c.a	$844$	$3$	844.c	211.b	$2$	$6$	$6$	$22.997$	6.6.\(\cdots\).2	$_{}$	\(\Q(\sqrt{-211}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q+(-\beta _{2}+\beta _{5})q^{5}+9q^{9}+(-\beta _{2}-\beta _{3}+\cdots)q^{11}+\cdots\)
7596.2.b.a	$7596$	$2$	7596.b	633.d	$2$	$24$	$24$	$60.654$		$_{}$	\(\Q(\sqrt{-211}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{U}(1)[D_{2}]$
844.5.c.a	$844$	$5$	844.c	211.b	$2$	$6$	$6$	$87.244$	6.6.\(\cdots\).2	$_{}$	\(\Q(\sqrt{-211}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{4}\cdot 3^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q+(-2\beta _{1}+2\beta _{2}-\beta _{4}+\beta _{5})q^{5}+3^{4}q^{9}+\cdots\)