Newform search results

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

Results (17 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	17
2601.2.a.b	$2601$	$2$	2601.a	1.a	$1$	$1$	$1$	$20.769$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(1\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+q^{5}+2q^{7}-2q^{10}+\cdots\)
2601.2.a.e	$2601$	$2$	2601.a	1.a	$1$	$1$	$1$	$20.769$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(2\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+2q^{5}-q^{7}+3q^{8}-2q^{10}+\cdots\)
2601.2.a.h	$2601$	$2$	2601.a	1.a	$1$	$1$	$1$	$20.769$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-2\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-2q^{5}-q^{7}-3q^{8}-2q^{10}+\cdots\)
2601.2.a.l	$2601$	$2$	2601.a	1.a	$1$	$1$	$1$	$20.769$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-1\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-q^{5}+2q^{7}-2q^{10}+\cdots\)
2601.2.a.m	$2601$	$2$	2601.a	1.a	$1$	$2$	$2$	$20.769$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(-6\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+2\beta q^{5}+\cdots\)
2601.2.a.o	$2601$	$2$	2601.a	1.a	$1$	$2$	$2$	$20.769$	\(\Q(\sqrt{17}) \)	\(\Q(\sqrt{-51}) \)	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2$	$N(\mathrm{U}(1))$	\(q-2q^{4}-\beta q^{5}+\beta q^{11}-q^{13}+4q^{16}+\cdots\)
2601.2.a.p	$2601$	$2$	2601.a	1.a	$1$	$2$	$2$	$20.769$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{5}+\beta q^{7}-2\beta q^{8}-\beta q^{10}+\cdots\)
2601.2.a.q	$2601$	$2$	2601.a	1.a	$1$	$2$	$2$	$20.769$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{5}-\beta q^{7}-2\beta q^{8}+\beta q^{10}+\cdots\)
2601.2.a.r	$2601$	$2$	2601.a	1.a	$1$	$2$	$2$	$20.769$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-1\)	\(3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1+\beta )q^{4}-\beta q^{5}+(2-\beta )q^{7}+\cdots\)
2601.2.a.u	$2601$	$2$	2601.a	1.a	$1$	$3$	$3$	$20.769$	\(\Q(\zeta_{18})^+\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}+(3\beta _{1}-\beta _{2})q^{7}+(-4\beta _{1}+3\beta _{2})q^{13}+\cdots\)
2601.2.a.w	$2601$	$2$	2601.a	1.a	$1$	$3$	$3$	$20.769$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-6\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(-2+\beta _{1})q^{5}-\beta _{2}q^{7}+\cdots\)
2601.2.a.z	$2601$	$2$	2601.a	1.a	$1$	$3$	$3$	$20.769$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(3\)	\(0\)	\(3\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
2601.2.a.bb	$2601$	$2$	2601.a	1.a	$1$	$4$	$4$	$20.769$	\(\Q(\zeta_{16})^+\)	None	✓	$2$	$1$	\(-4\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{2}+(1+2\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)
2601.2.a.bc	$2601$	$2$	2601.a	1.a	$1$	$4$	$4$	$20.769$	\(\Q(\zeta_{16})^+\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(8\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(-1+\beta _{1}+\beta _{3})q^{5}+\cdots\)
2601.2.a.bd	$2601$	$2$	2601.a	1.a	$1$	$4$	$4$	$20.769$	\(\Q(\zeta_{16})^+\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(4\)	\(-8\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(1-\beta _{1}-\beta _{3})q^{5}+\cdots\)
2601.2.a.bh	$2601$	$2$	2601.a	1.a	$1$	$6$	$6$	$20.769$	6.6.3418281.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-3\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{4}q^{2}+(1+\beta _{1}+\beta _{2}-\beta _{4}+2\beta _{5})q^{4}+\cdots\)
2601.2.a.bj	$2601$	$2$	2601.a	1.a	$1$	$6$	$6$	$20.769$	6.6.45769536.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-18\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(3+\beta _{2})q^{4}-\beta _{3}q^{5}+(-3+\cdots)q^{7}+\cdots\)