Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (10 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	11
1815.2.a.b	$1815$	$2$	1815.a	1.a	$1$	$1$	$1$	$14.493$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-q^{5}-q^{7}+q^{9}-2q^{12}+\cdots\)
1815.2.a.c	$1815$	$2$	1815.a	1.a	$1$	$1$	$1$	$14.493$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-q^{5}+q^{7}+q^{9}-2q^{12}+\cdots\)
1815.2.a.d	$1815$	$2$	1815.a	1.a	$1$	$1$	$1$	$14.493$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}-3q^{8}+\cdots\)
1815.2.a.g	$1815$	$2$	1815.a	1.a	$1$	$2$	$2$	$14.493$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(-2\)	\(-2\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-q^{5}-\beta q^{7}+q^{9}+2q^{12}+\cdots\)
1815.2.a.h	$1815$	$2$	1815.a	1.a	$1$	$2$	$2$	$14.493$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(-2\)	\(-2\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{3}+q^{4}-q^{5}-\beta q^{6}-\beta q^{8}+\cdots\)
1815.2.a.i	$1815$	$2$	1815.a	1.a	$1$	$2$	$2$	$14.493$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+q^{4}-q^{5}+\beta q^{6}-2q^{7}+\cdots\)
1815.2.a.o	$1815$	$2$	1815.a	1.a	$1$	$4$	$4$	$14.493$	4.4.725.1	None	✓	$1$	$1$	\(-5\)	\(4\)	\(-4\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1}+\beta _{2})q^{2}+q^{3}+(3-\beta _{1}+\cdots)q^{4}+\cdots\)
1815.2.a.p	$1815$	$2$	1815.a	1.a	$1$	$4$	$4$	$14.493$	4.4.725.1	None	✓	$1$	$1$	\(-3\)	\(4\)	\(4\)	\(-6\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+q^{3}+(-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1815.2.a.q	$1815$	$2$	1815.a	1.a	$1$	$4$	$4$	$14.493$	\(\Q(\zeta_{15})^+\)	None	✓	$1$	$1$	\(-1\)	\(-4\)	\(4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{2}+\beta _{3})q^{2}-q^{3}+\beta _{1}q^{4}+q^{5}+\cdots\)
1815.2.a.v	$1815$	$2$	1815.a	1.a	$1$	$4$	$4$	$14.493$	4.4.5725.1	None	✓	$1$	$1$	\(1\)	\(-4\)	\(-4\)	\(-8\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}+\beta _{2})q^{2}-q^{3}+(3-\beta _{2}-\beta _{3})q^{4}+\cdots\)