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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3
1728.4.a.b	$1728$	$4$	1728.a	1.a	$1$	$1$	$1$	$101.955$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-19\)	\(13\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-19q^{5}+13q^{7}+65q^{11}+56q^{13}+\cdots\)
1728.4.a.e	$1728$	$4$	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.g	$1728$	$4$	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.l	$1728$	$4$	1728.a	1.a	$1$	$1$	$1$	$101.955$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(29\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}+29q^{7}+57q^{11}-20q^{13}+\cdots\)
1728.4.a.m	$1728$	$4$	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.q	$1728$	$4$	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.ba	$1728$	$4$	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.bc	$1728$	$4$	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.be	$1728$	$4$	1728.a	1.a	$1$	$1$	$1$	$101.955$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(19\)	\(-13\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+19q^{5}-13q^{7}+65q^{11}+56q^{13}+\cdots\)
1728.4.a.bi	$1728$	$4$	1728.a	1.a	$1$	$2$	$2$	$101.955$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(-6\)		$+$	$+$	$+$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-2-\beta )q^{5}+(-3+2\beta )q^{7}+(-26+\cdots)q^{11}+\cdots\)
1728.4.a.bl	$1728$	$4$	1728.a	1.a	$1$	$2$	$2$	$101.955$	\(\Q(\sqrt{37}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{5}-5\beta q^{7}-43q^{11}-52q^{13}+\cdots\)
1728.4.a.bn	$1728$	$4$	1728.a	1.a	$1$	$2$	$2$	$101.955$	\(\Q(\sqrt{73}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{5}-\beta q^{7}+q^{11}+8q^{13}-12\beta q^{17}+\cdots\)
1728.4.a.bq	$1728$	$4$	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.bt	$1728$	$4$	1728.a	1.a	$1$	$2$	$2$	$101.955$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(8\)	\(24\)		$+$	$+$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+(4+\beta )q^{5}+(12+\beta )q^{7}+q^{11}+(-2^{4}+\cdots)q^{13}+\cdots\)
1728.4.a.bv	$1728$	$4$	1728.a	1.a	$1$	$3$	$3$	$101.955$	3.3.2708.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-10\)	\(19\)		$+$	$+$	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-3-\beta _{1})q^{5}+(6+\beta _{2})q^{7}+(-13+\cdots)q^{11}+\cdots\)
1728.4.a.cf	$1728$	$4$	1728.a	1.a	$1$	$3$	$3$	$101.955$	3.3.2708.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(10\)	\(19\)		$+$	$+$	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+(3+\beta _{1})q^{5}+(6+\beta _{2})q^{7}+(13+\beta _{1}+\cdots)q^{11}+\cdots\)