Newform search results

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

Results (11 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	7
1225.4.a.h	$1225$	$4$	1225.a	1.a	$1$	$1$	$1$	$72.277$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(7\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+7q^{3}-7q^{4}-7q^{6}+15q^{8}+\cdots\)
1225.4.a.r	$1225$	$4$	1225.a	1.a	$1$	$2$	$2$	$72.277$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$0$	\(-1\)	\(-5\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-2-\beta )q^{3}+(2+\beta )q^{4}+(10+\cdots)q^{6}+\cdots\)
1225.4.a.s	$1225$	$4$	1225.a	1.a	$1$	$2$	$2$	$72.277$	\(\Q(\sqrt{5}) \)	\(\Q(\sqrt{-35}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{2}$	$N(\mathrm{U}(1))$	\(q+2\beta q^{3}-8q^{4}+53q^{9}+72q^{11}+\cdots\)
1225.4.a.u	$1225$	$4$	1225.a	1.a	$1$	$2$	$2$	$72.277$	\(\Q(\sqrt{21}) \)	\(\Q(\sqrt{-7}) \)	✓	$2$	$0$	\(5\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+(3-\beta )q^{2}+(6-5\beta )q^{4}+(19-8\beta )q^{8}+\cdots\)
1225.4.a.ba	$1225$	$4$	1225.a	1.a	$1$	$4$	$4$	$72.277$	4.4.23265040.2	None	✓	$2$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+\beta _{1}q^{3}+(2-\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\)
1225.4.a.bd	$1225$	$4$	1225.a	1.a	$1$	$4$	$4$	$72.277$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(3\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-\beta _{3})q^{3}+(9+\beta _{2}+\cdots)q^{4}+\cdots\)
1225.4.a.be	$1225$	$4$	1225.a	1.a	$1$	$5$	$5$	$72.277$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-4\)	\(10\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(2-\beta _{3})q^{3}+(4-\beta _{1}+\cdots)q^{4}+\cdots\)
1225.4.a.bh	$1225$	$4$	1225.a	1.a	$1$	$5$	$5$	$72.277$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(-10\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(-2+\beta _{3})q^{3}+(4-\beta _{1}+\cdots)q^{4}+\cdots\)
1225.4.a.bm	$1225$	$4$	1225.a	1.a	$1$	$8$	$8$	$72.277$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{4}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{6}q^{2}-\beta _{4}q^{3}+(9-\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
1225.4.a.bo	$1225$	$4$	1225.a	1.a	$1$	$8$	$8$	$72.277$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(6\)	\(0\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1-\beta _{3})q^{3}+(3+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1225.4.a.bq	$1225$	$4$	1225.a	1.a	$1$	$10$	$10$	$72.277$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{4}q^{3}+(3+\beta _{2})q^{4}+(5+\beta _{2}+\cdots)q^{6}+\cdots\)