Newform search results

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

Results (9 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	29
1856.4.a.h	$1856$	$4$	1856.a	1.a	$1$	$2$	$2$	$109.508$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(-10\)	\(10\)	\(16\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-5+3\beta )q^{3}+(5+4\beta )q^{5}+(8+10\beta )q^{7}+\cdots\)
1856.4.a.i	$1856$	$4$	1856.a	1.a	$1$	$2$	$2$	$109.508$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(10\)	\(16\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+(5+6\beta )q^{5}+(8-8\beta )q^{7}+\cdots\)
1856.4.a.m	$1856$	$4$	1856.a	1.a	$1$	$2$	$2$	$109.508$	\(\Q(\sqrt{22}) \)	None	✓	$1$	$1$	\(0\)	\(10\)	\(-30\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(5+\beta )q^{3}-15q^{5}+2\beta q^{7}+(20+10\beta )q^{9}+\cdots\)
1856.4.a.o	$1856$	$4$	1856.a	1.a	$1$	$3$	$3$	$109.508$	3.3.148344.1	None	✓	$1$	$1$	\(0\)	\(-10\)	\(20\)	\(-8\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-3-\beta _{1})q^{3}+(7-\beta _{2})q^{5}+(-4+\cdots)q^{7}+\cdots\)
1856.4.a.s	$1856$	$4$	1856.a	1.a	$1$	$3$	$3$	$109.508$	3.3.19816.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(-20\)	\(-24\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-6-2\beta _{1}-\beta _{2})q^{5}+\cdots\)
1856.4.a.x	$1856$	$4$	1856.a	1.a	$1$	$4$	$4$	$109.508$	4.4.225792.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(20\)	\(8\)		$-$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(\beta _{1}-\beta _{3})q^{3}+(5-\beta _{2})q^{5}+(2+2\beta _{1}+\cdots)q^{7}+\cdots\)
1856.4.a.ba	$1856$	$4$	1856.a	1.a	$1$	$5$	$5$	$109.508$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(4\)	\(-10\)	\(-32\)		$-$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-2-\beta _{3})q^{5}+(-6+\cdots)q^{7}+\cdots\)
1856.4.a.be	$1856$	$4$	1856.a	1.a	$1$	$8$	$8$	$109.508$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(20\)	\(0\)		$-$	$+$	$-$	$2^{10}\cdot 5$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(3+\beta _{2})q^{5}-\beta _{4}q^{7}+(5+\beta _{3}+\cdots)q^{9}+\cdots\)
1856.4.a.bh	$1856$	$4$	1856.a	1.a	$1$	$10$	$10$	$109.508$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(-40\)	\(0\)		$-$	$+$	$-$	$2^{11}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-4-\beta _{3})q^{5}+\beta _{8}q^{7}+(6+\cdots)q^{9}+\cdots\)