Newform search results

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

Results (16 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	7
2205.4.a.c	$2205$	$4$	2205.a	1.a	$1$	$1$	$1$	$130.099$	\(\Q\)	None	✓	$1$	$0$	\(-3\)	\(0\)	\(-5\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}+q^{4}-5q^{5}+21q^{8}+15q^{10}+\cdots\)
2205.4.a.d	$2205$	$4$	2205.a	1.a	$1$	$1$	$1$	$130.099$	\(\Q\)	None	✓	$1$	$0$	\(-3\)	\(0\)	\(-5\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}+q^{4}-5q^{5}+21q^{8}+15q^{10}+\cdots\)
2205.4.a.i	$2205$	$4$	2205.a	1.a	$1$	$1$	$1$	$130.099$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-5\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-7q^{4}-5q^{5}+15q^{8}+5q^{10}+\cdots\)
2205.4.a.j	$2205$	$4$	2205.a	1.a	$1$	$1$	$1$	$130.099$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-5\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-7q^{4}-5q^{5}+15q^{8}+5q^{10}+\cdots\)
2205.4.a.k	$2205$	$4$	2205.a	1.a	$1$	$1$	$1$	$130.099$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-5\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-7q^{4}-5q^{5}+15q^{8}+5q^{10}+\cdots\)
2205.4.a.q	$2205$	$4$	2205.a	1.a	$1$	$1$	$1$	$130.099$	\(\Q\)	None	✓	$1$	$0$	\(4\)	\(0\)	\(-5\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+8q^{4}-5q^{5}-20q^{10}-2^{5}q^{11}+\cdots\)
2205.4.a.r	$2205$	$4$	2205.a	1.a	$1$	$1$	$1$	$130.099$	\(\Q\)	None	✓	$1$	$0$	\(4\)	\(0\)	\(-5\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+8q^{4}-5q^{5}-20q^{10}+10q^{11}+\cdots\)
2205.4.a.u	$2205$	$4$	2205.a	1.a	$1$	$2$	$2$	$130.099$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-8\)	\(0\)	\(-10\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-4+\beta )q^{2}+(10-8\beta )q^{4}-5q^{5}+\cdots\)
2205.4.a.v	$2205$	$4$	2205.a	1.a	$1$	$2$	$2$	$130.099$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$0$	\(-3\)	\(0\)	\(-10\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+(3+3\beta )q^{4}-5q^{5}+\cdots\)
2205.4.a.w	$2205$	$4$	2205.a	1.a	$1$	$2$	$2$	$130.099$	\(\Q(\sqrt{11}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-10\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(4-2\beta )q^{4}-5q^{5}+\cdots\)
2205.4.a.bc	$2205$	$4$	2205.a	1.a	$1$	$2$	$2$	$130.099$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(4\)	\(0\)	\(-10\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{2}+(-2+4\beta )q^{4}-5q^{5}+\cdots\)
2205.4.a.be	$2205$	$4$	2205.a	1.a	$1$	$2$	$2$	$130.099$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(4\)	\(0\)	\(-10\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{2}+(1+4\beta )q^{4}-5q^{5}+(6+\cdots)q^{8}+\cdots\)
2205.4.a.bh	$2205$	$4$	2205.a	1.a	$1$	$2$	$2$	$130.099$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(7\)	\(0\)	\(-10\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(4-\beta )q^{2}+(12-7\beta )q^{4}-5q^{5}+(44+\cdots)q^{8}+\cdots\)
2205.4.a.bn	$2205$	$4$	2205.a	1.a	$1$	$4$	$4$	$130.099$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-20\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(10+\beta _{2})q^{4}-5q^{5}+(-7+\cdots)q^{8}+\cdots\)
2205.4.a.bt	$2205$	$4$	2205.a	1.a	$1$	$5$	$5$	$130.099$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-25\)	\(0\)		$-$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(7+\beta _{3})q^{4}-5q^{5}+(-4+\cdots)q^{8}+\cdots\)
2205.4.a.bv	$2205$	$4$	2205.a	1.a	$1$	$5$	$5$	$130.099$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-25\)	\(0\)		$-$	$+$	$-$	$+$	$2\cdot 7$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(4+\beta _{1}+\beta _{2})q^{4}-5q^{5}+\cdots\)