Newform search results

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

Results (10 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	5
900.4.a.d	$900$	$4$	900.a	1.a	$1$	$1$	$1$	$53.102$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-22\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-22q^{7}+14q^{11}+30q^{13}+62q^{17}+\cdots\)
900.4.a.e	$900$	$4$	900.a	1.a	$1$	$1$	$1$	$53.102$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-17\)		$-$	$+$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-17q^{7}+19q^{13}+107q^{19}-19q^{31}+\cdots\)
900.4.a.f	$900$	$4$	900.a	1.a	$1$	$1$	$1$	$53.102$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-13\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-13q^{7}-6q^{11}+5q^{13}+78q^{17}+\cdots\)
900.4.a.h	$900$	$4$	900.a	1.a	$1$	$1$	$1$	$53.102$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-7q^{7}+54q^{11}-55q^{13}-18q^{17}+\cdots\)
900.4.a.i	$900$	$4$	900.a	1.a	$1$	$1$	$1$	$53.102$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}-30q^{11}+4q^{13}+90q^{17}+\cdots\)
900.4.a.j	$900$	$4$	900.a	1.a	$1$	$1$	$1$	$53.102$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}+30q^{11}+4q^{13}-90q^{17}+\cdots\)
900.4.a.o	$900$	$4$	900.a	1.a	$1$	$1$	$1$	$53.102$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(22\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+22q^{7}+14q^{11}-30q^{13}-62q^{17}+\cdots\)
900.4.a.p	$900$	$4$	900.a	1.a	$1$	$1$	$1$	$53.102$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(26\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+26q^{7}-45q^{11}+44q^{13}-117q^{17}+\cdots\)
900.4.a.r	$900$	$4$	900.a	1.a	$1$	$1$	$1$	$53.102$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(37\)		$-$	$+$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+37q^{7}-89q^{13}-163q^{19}-17^{2}q^{31}+\cdots\)
900.4.a.s	$900$	$4$	900.a	1.a	$1$	$2$	$2$	$53.102$	\(\Q(\sqrt{19}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{7}-20q^{11}-6\beta q^{13}+8\beta q^{17}+\cdots\)