Newform search results

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

Results (13 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	11
1089.6.a.a	$1089$	$6$	1089.a	1.a	$1$	$1$	$1$	$174.658$	\(\Q\)	None	✓	$1$	$0$	\(-9\)	\(0\)	\(-24\)	\(-72\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-9q^{2}+7^{2}q^{4}-24q^{5}-72q^{7}-153q^{8}+\cdots\)
1089.6.a.e	$1089$	$6$	1089.a	1.a	$1$	$1$	$1$	$174.658$	\(\Q\)	\(\Q(\sqrt{-11}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(-57\)	\(0\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-2^{5}q^{4}-57q^{5}+2^{10}q^{16}+1824q^{20}+\cdots\)
1089.6.a.i	$1089$	$6$	1089.a	1.a	$1$	$1$	$1$	$174.658$	\(\Q\)	None	✓	$1$	$0$	\(9\)	\(0\)	\(-24\)	\(72\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+9q^{2}+7^{2}q^{4}-24q^{5}+72q^{7}+153q^{8}+\cdots\)
1089.6.a.l	$1089$	$6$	1089.a	1.a	$1$	$2$	$2$	$174.658$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(196\)	\(0\)		$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-12q^{4}+98q^{5}+53\beta q^{7}+\cdots\)
1089.6.a.m	$1089$	$6$	1089.a	1.a	$1$	$2$	$2$	$174.658$	\(\Q(\sqrt{38}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(38\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+6q^{4}+19q^{5}+8\beta q^{7}-26\beta q^{8}+\cdots\)
1089.6.a.n	$1089$	$6$	1089.a	1.a	$1$	$2$	$2$	$174.658$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-48\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4\beta q^{2}+2^{4}q^{4}-24q^{5}-\beta q^{7}-2^{6}\beta q^{8}+\cdots\)
1089.6.a.z	$1089$	$6$	1089.a	1.a	$1$	$6$	$6$	$174.658$	6.6.\(\cdots\).1	None	✓	$2$	$0$	\(0\)	\(0\)	\(50\)	\(0\)		$-$	$+$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}+3\beta _{2})q^{2}+(14+\beta _{3}-7\beta _{4}+\cdots)q^{4}+\cdots\)
1089.6.a.ba	$1089$	$6$	1089.a	1.a	$1$	$6$	$6$	$174.658$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(48\)	\(0\)		$-$	$+$	$-$	$2^{6}\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(28+\beta _{2})q^{4}+(8+\beta _{2}+\beta _{4}+\cdots)q^{5}+\cdots\)
1089.6.a.bd	$1089$	$6$	1089.a	1.a	$1$	$8$	$8$	$174.658$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(256\)	\(0\)		$-$	$+$	$-$	$2^{4}\cdot 3\cdot 11$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(19-2\beta _{2}+\beta _{6})q^{4}+(33+\cdots)q^{5}+\cdots\)
1089.6.a.bg	$1089$	$6$	1089.a	1.a	$1$	$8$	$8$	$174.658$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(0\)	\(-70\)	\(-292\)		$-$	$+$	$-$	$2^{2}\cdot 11^{2}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(11-\beta _{1}+\beta _{2})q^{4}+(-9+\cdots)q^{5}+\cdots\)
1089.6.a.bh	$1089$	$6$	1089.a	1.a	$1$	$10$	$10$	$174.658$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(-9\)	\(0\)	\(-11\)	\(470\)		$-$	$+$	$-$	$2^{2}\cdot 11^{4}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(19-\beta _{1}+\beta _{2})q^{4}+\cdots\)
1089.6.a.bj	$1089$	$6$	1089.a	1.a	$1$	$10$	$10$	$174.658$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-198\)	\(0\)		$-$	$+$	$-$	$2^{6}\cdot 11^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{6}q^{2}+(18+\beta _{1})q^{4}+(-20-\beta _{1}+\cdots)q^{5}+\cdots\)
1089.6.a.bk	$1089$	$6$	1089.a	1.a	$1$	$10$	$10$	$174.658$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(7\)	\(0\)	\(33\)	\(78\)		$-$	$+$	$-$	$2^{2}\cdot 11^{4}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(15-\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots\)