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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	13
3380.2.a.b	$3380$	$2$	3380.a	1.a	$1$	$1$	$1$	$26.989$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(1\)	\(3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+q^{5}+3q^{7}+6q^{9}+3q^{11}+\cdots\)
3380.2.a.c	$3380$	$2$	3380.a	1.a	$1$	$1$	$1$	$26.989$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(1\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}-2q^{7}+q^{9}-2q^{15}+\cdots\)
3380.2.a.e	$3380$	$2$	3380.a	1.a	$1$	$1$	$1$	$26.989$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(1\)	\(-5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-5q^{7}-2q^{9}+5q^{11}+\cdots\)
3380.2.a.h	$3380$	$2$	3380.a	1.a	$1$	$1$	$1$	$26.989$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(-1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-q^{7}-2q^{9}+3q^{11}+q^{15}+\cdots\)
3380.2.a.i	$3380$	$2$	3380.a	1.a	$1$	$1$	$1$	$26.989$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+q^{7}-2q^{9}-3q^{11}+q^{15}+\cdots\)
3380.2.a.j	$3380$	$2$	3380.a	1.a	$1$	$1$	$1$	$26.989$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(1\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}-2q^{7}+q^{9}-4q^{11}+\cdots\)
3380.2.a.k	$3380$	$2$	3380.a	1.a	$1$	$3$	$3$	$26.989$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}-\beta _{1}q^{7}+(-1+\beta _{2})q^{9}+\cdots\)
3380.2.a.l	$3380$	$2$	3380.a	1.a	$1$	$3$	$3$	$26.989$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(3\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+q^{5}+\beta _{1}q^{7}+(-1+\beta _{2})q^{9}+\cdots\)
3380.2.a.m	$3380$	$2$	3380.a	1.a	$1$	$3$	$3$	$26.989$	3.3.756.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-q^{5}-\beta _{2}q^{7}+(1+\beta _{2})q^{9}+\cdots\)
3380.2.a.p	$3380$	$2$	3380.a	1.a	$1$	$4$	$4$	$26.989$	4.4.4752.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(-4\)	\(-6\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}-q^{5}+(-2-\beta _{2}+\beta _{3})q^{7}+\cdots\)