Newform search results

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

Results (17 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	29
5800.2.a.a	$5800$	$2$	5800.a	1.a	$1$	$1$	$1$	$46.313$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-4q^{7}+q^{9}-6q^{13}+8q^{21}+\cdots\)
5800.2.a.b	$5800$	$2$	5800.a	1.a	$1$	$1$	$1$	$46.313$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{7}+q^{9}-6q^{11}-6q^{13}+\cdots\)
5800.2.a.e	$5800$	$2$	5800.a	1.a	$1$	$1$	$1$	$46.313$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{7}-2q^{9}+3q^{11}+q^{13}+\cdots\)
5800.2.a.g	$5800$	$2$	5800.a	1.a	$1$	$1$	$1$	$46.313$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}-3q^{9}+6q^{17}-4q^{19}+6q^{23}+\cdots\)
5800.2.a.h	$5800$	$2$	5800.a	1.a	$1$	$1$	$1$	$46.313$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{9}+2q^{13}+6q^{17}-8q^{19}+q^{29}+\cdots\)
5800.2.a.l	$5800$	$2$	5800.a	1.a	$1$	$1$	$1$	$46.313$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-2q^{7}+q^{9}-6q^{11}+6q^{13}+\cdots\)
5800.2.a.m	$5800$	$2$	5800.a	1.a	$1$	$1$	$1$	$46.313$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-2q^{7}+q^{9}+4q^{11}-4q^{13}+\cdots\)
5800.2.a.p	$5800$	$2$	5800.a	1.a	$1$	$3$	$3$	$46.313$	3.3.568.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(2+\beta _{2})q^{9}+(1+\beta _{1}+\cdots)q^{11}+\cdots\)
5800.2.a.q	$5800$	$2$	5800.a	1.a	$1$	$3$	$3$	$46.313$	3.3.229.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(1-\beta _{1})q^{7}+(\beta _{1}-2\beta _{2})q^{9}+\cdots\)
5800.2.a.s	$5800$	$2$	5800.a	1.a	$1$	$3$	$3$	$46.313$	3.3.148.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(4\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(1+\beta _{1})q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
5800.2.a.u	$5800$	$2$	5800.a	1.a	$1$	$5$	$5$	$46.313$	5.5.3145252.1	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-7\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{3}+(-1+\beta _{2})q^{7}+(2-\beta _{2}+\beta _{4})q^{9}+\cdots\)
5800.2.a.w	$5800$	$2$	5800.a	1.a	$1$	$6$	$6$	$46.313$	6.6.15523969.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{3}+(-\beta _{1}+\beta _{3}+\beta _{4}+\beta _{5})q^{7}+\cdots\)
5800.2.a.x	$5800$	$2$	5800.a	1.a	$1$	$6$	$6$	$46.313$	6.6.16196689.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-1+\beta _{1}-\beta _{3})q^{7}+(1+\beta _{3}+\cdots)q^{9}+\cdots\)
5800.2.a.y	$5800$	$2$	5800.a	1.a	$1$	$6$	$6$	$46.313$	6.6.16196689.1	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(1-\beta _{1}+\beta _{3})q^{7}+(1+\beta _{3}+\cdots)q^{9}+\cdots\)
5800.2.a.z	$5800$	$2$	5800.a	1.a	$1$	$6$	$6$	$46.313$	6.6.15523969.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{3}+(\beta _{1}-\beta _{3}-\beta _{4}-\beta _{5})q^{7}+\cdots\)
5800.2.a.be	$5800$	$2$	5800.a	1.a	$1$	$8$	$8$	$46.313$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-3\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{6}q^{7}+(1+\beta _{1}+\beta _{2})q^{9}+\cdots\)
5800.2.a.bg	$5800$	$2$	5800.a	1.a	$1$	$11$	$11$	$46.313$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-5\)	\(0\)	\(-1\)		$-$	$-$	$+$	$+$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{10}q^{7}+(\beta _{1}+\beta _{3}+\beta _{4}+\cdots)q^{9}+\cdots\)