Newform search results

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

Results (14 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	3
1728.4.a.f	$1728$	$4$	1728.a	1.a	$1$	$1$	$1$	$101.955$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-12\)	\(7\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-12q^{5}+7q^{7}+60q^{11}+79q^{13}+\cdots\)
1728.4.a.h	$1728$	$4$	1728.a	1.a	$1$	$1$	$1$	$101.955$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-9\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-9q^{5}+q^{7}+63q^{11}+28q^{13}+72q^{17}+\cdots\)
1728.4.a.k	$1728$	$4$	1728.a	1.a	$1$	$1$	$1$	$101.955$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(0\)	\(-3\)	\(-29\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}-29q^{7}-57q^{11}-20q^{13}+\cdots\)
1728.4.a.n	$1728$	$4$	1728.a	1.a	$1$	$1$	$1$	$101.955$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(9\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+9q^{7}-17q^{11}+44q^{13}+56q^{17}+\cdots\)
1728.4.a.p	$1728$	$4$	1728.a	1.a	$1$	$1$	$1$	$101.955$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-17\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-17q^{7}-89q^{13}+107q^{19}-5^{3}q^{25}+\cdots\)
1728.4.a.bb	$1728$	$4$	1728.a	1.a	$1$	$1$	$1$	$101.955$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(12\)	\(7\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+12q^{5}+7q^{7}-60q^{11}+79q^{13}+\cdots\)
1728.4.a.bd	$1728$	$4$	1728.a	1.a	$1$	$1$	$1$	$101.955$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(15\)	\(25\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+15q^{5}+5^{2}q^{7}+15q^{11}-20q^{13}+\cdots\)
1728.4.a.bj	$1728$	$4$	1728.a	1.a	$1$	$2$	$2$	$101.955$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(6\)		$-$	$-$	$+$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-2-\beta )q^{5}+(3-2\beta )q^{7}+(26-3\beta )q^{11}+\cdots\)
1728.4.a.br	$1728$	$4$	1728.a	1.a	$1$	$2$	$2$	$101.955$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(6\)		$-$	$-$	$+$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}+(3-2\beta )q^{7}+(-26+3\beta )q^{11}+\cdots\)
1728.4.a.bs	$1728$	$4$	1728.a	1.a	$1$	$2$	$2$	$101.955$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(8\)	\(-24\)		$-$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+(4+\beta )q^{5}+(-12-\beta )q^{7}-q^{11}+\cdots\)
1728.4.a.bx	$1728$	$4$	1728.a	1.a	$1$	$3$	$3$	$101.955$	3.3.148.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-6\)	\(9\)		$-$	$-$	$+$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{2})q^{5}+(3+\beta _{1}-\beta _{2})q^{7}+\cdots\)
1728.4.a.bz	$1728$	$4$	1728.a	1.a	$1$	$3$	$3$	$101.955$	3.3.229.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(3\)		$-$	$-$	$+$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{5}+(1-\beta _{2})q^{7}+(7-3\beta _{1}+\cdots)q^{11}+\cdots\)
1728.4.a.ca	$1728$	$4$	1728.a	1.a	$1$	$3$	$3$	$101.955$	3.3.229.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(-3\)		$-$	$-$	$+$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{5}+(-1+\beta _{2})q^{7}+(7-3\beta _{1}+\cdots)q^{11}+\cdots\)
1728.4.a.cd	$1728$	$4$	1728.a	1.a	$1$	$3$	$3$	$101.955$	3.3.148.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(6\)	\(9\)		$-$	$-$	$+$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(2-\beta _{2})q^{5}+(3+\beta _{1}-\beta _{2})q^{7}+(6+\cdots)q^{11}+\cdots\)