Newform search results

Results (16 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
291.1.c.a	$291$	$1$	291.c	291.c	$2$	$1$	$1$	$0.145$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-291}) \)	\(\Q(\sqrt{97}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}+q^{9}-q^{12}+q^{16}-q^{25}+\cdots\)
1164.1.f.a	$1164$	$1$	1164.f	291.c	$2$	$1$	$1$	$0.581$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-291}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(0\)	$1$		\(q+q^{3}-q^{5}+q^{9}-q^{15}+2q^{17}+2q^{23}+\cdots\)
1164.1.f.b	$1164$	$1$	1164.f	291.c	$2$	$1$	$1$	$0.581$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-291}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(0\)	$1$		\(q+q^{3}+q^{5}+q^{9}+q^{15}-2q^{17}-2q^{23}+\cdots\)
1164.1.f.c	$1164$	$1$	1164.f	291.c	$2$	$2$	$2$	$0.581$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-291}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{3}-\beta q^{5}+q^{9}+\beta q^{15}+2q^{25}+\cdots\)
1455.1.h.e	$1455$	$1$	1455.h	1455.h	$2$	$4$	$4$	$0.726$	\(\Q(\zeta_{8})\)	$D_{4}$	\(\Q(\sqrt{-291}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{8}^{2}q^{3}-q^{4}-\zeta_{8}q^{5}-q^{9}-\zeta_{8}^{2}q^{12}+\cdots\)
2619.1.c.a	$2619$	$1$	2619.c	291.c	$2$	$1$	$1$	$1.307$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-291}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}+q^{16}-q^{17}-q^{20}+2q^{23}+\cdots\)
2619.1.c.b	$2619$	$1$	2619.c	291.c	$2$	$1$	$1$	$1.307$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-291}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{4}+q^{5}+q^{16}+q^{17}+q^{20}-2q^{23}+\cdots\)
2619.1.c.e	$2619$	$1$	2619.c	291.c	$2$	$2$	$2$	$1.307$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-291}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}-\beta q^{5}+q^{16}+\beta q^{17}-\beta q^{20}+\cdots\)
873.2.d.d	$873$	$2$	873.d	97.b	$2$	$4$	$4$	$6.971$	4.0.112908.2	$_{}$	\(\Q(\sqrt{-291}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{4}+\beta _{2}q^{5}+4q^{16}+(-\beta _{1}+\beta _{2}+\cdots)q^{17}+\cdots\)
291.3.c.a	$291$	$3$	291.c	291.c	$2$	$2$	$2$	$7.929$	\(\Q(\sqrt{97}) \)	$_{}$	\(\Q(\sqrt{-291}) \)	None	✓	$4$	$0$	\(0\)	\(-6\)	\(0\)	\(0\)	$2$	$\mathrm{U}(1)[D_{2}]$	\(q-3q^{3}+4q^{4}+\beta q^{5}+9q^{9}-12q^{12}+\cdots\)
291.3.c.b	$291$	$3$	291.c	291.c	$2$	$2$	$2$	$7.929$	\(\Q(\sqrt{3}) \)	$_{}$	\(\Q(\sqrt{-291}) \)	None	✓	$4$	$0$	\(0\)	\(6\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+3q^{3}+4q^{4}+\beta q^{5}+9q^{9}+12q^{12}+\cdots\)
3492.2.b.d	$3492$	$2$	3492.b	97.b	$2$	$4$	$4$	$27.884$	4.0.112908.2	$_{}$	\(\Q(\sqrt{-291}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{17}-2\beta _{1}q^{23}+\cdots\)
3492.2.b.e	$3492$	$2$	3492.b	97.b	$2$	$4$	$4$	$27.884$	4.0.112908.2	$_{}$	\(\Q(\sqrt{-291}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{5}-2\beta _{1}q^{17}+(\beta _{1}-\beta _{2})q^{23}+\cdots\)
1164.3.f.a	$1164$	$3$	1164.f	291.c	$2$	$2$	$2$	$31.717$	\(\Q(\sqrt{97}) \)	$_{}$	\(\Q(\sqrt{-291}) \)	None	✓	$2$	$0$	\(0\)	\(-6\)	\(-3\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-3q^{3}+(-1-\beta )q^{5}+9q^{9}+(3+3\beta )q^{15}+\cdots\)
1164.3.f.b	$1164$	$3$	1164.f	291.c	$2$	$2$	$2$	$31.717$	\(\Q(\sqrt{97}) \)	$_{}$	\(\Q(\sqrt{-291}) \)	None	✓	$2$	$0$	\(0\)	\(-6\)	\(3\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-3q^{3}+(1+\beta )q^{5}+9q^{9}+(-3-3\beta )q^{15}+\cdots\)
1164.3.f.d	$1164$	$3$	1164.f	291.c	$2$	$4$	$4$	$31.717$	\(\Q(\sqrt{3}, \sqrt{97})\)	$_{}$	\(\Q(\sqrt{-291}) \)	None	✓	$4$	$0$	\(0\)	\(12\)	\(0\)	\(0\)	$2^{3}\cdot 3$	$\mathrm{U}(1)[D_{2}]$	\(q+3q^{3}+\beta _{2}q^{5}+9q^{9}+3\beta _{2}q^{15}+\cdots\)