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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	7
4900.2.a.a	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+6q^{9}-2q^{11}-6q^{13}+2q^{17}+\cdots\)
4900.2.a.c	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{9}-q^{11}-2q^{13}+4q^{17}+\cdots\)
4900.2.a.e	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{9}+2q^{13}-6q^{17}+4q^{19}+\cdots\)
4900.2.a.f	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{9}+3q^{11}-4q^{13}-2q^{19}+\cdots\)
4900.2.a.h	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{9}-q^{11}+5q^{13}-q^{17}+\cdots\)
4900.2.a.k	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{9}-5q^{11}+6q^{13}-4q^{17}+6q^{19}+\cdots\)
4900.2.a.n	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{9}-3q^{11}+2q^{13}+3q^{17}+\cdots\)
4900.2.a.o	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{9}-q^{11}-5q^{13}+q^{17}+\cdots\)
4900.2.a.p	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{9}+3q^{11}-q^{13}-3q^{17}+\cdots\)
4900.2.a.q	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{9}+6q^{11}+2q^{13}-6q^{17}+\cdots\)
4900.2.a.r	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{9}-q^{11}+2q^{13}-4q^{17}+\cdots\)
4900.2.a.u	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+6q^{9}-5q^{11}-3q^{13}-q^{17}+\cdots\)
4900.2.a.ba	$4900$	$2$	4900.a	1.a	$1$	$3$	$3$	$39.127$	3.3.257.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(2-\beta _{1}-\beta _{2})q^{9}+(1-\beta _{2})q^{11}+\cdots\)
4900.2.a.bb	$4900$	$2$	4900.a	1.a	$1$	$3$	$3$	$39.127$	3.3.257.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(2-\beta _{1}-\beta _{2})q^{9}+(1-\beta _{2})q^{11}+\cdots\)
4900.2.a.be	$4900$	$2$	4900.a	1.a	$1$	$4$	$4$	$39.127$	\(\Q(\sqrt{3}, \sqrt{19})\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-2-\beta _{3})q^{11}+(2\beta _{1}-2\beta _{2}+\cdots)q^{13}+\cdots\)
4900.2.a.bg	$4900$	$2$	4900.a	1.a	$1$	$4$	$4$	$39.127$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{3}q^{9}+(-1-2\beta _{3})q^{11}+\cdots\)
4900.2.a.bh	$4900$	$2$	4900.a	1.a	$1$	$4$	$4$	$39.127$	\(\Q(\zeta_{24})^+\)	None	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-q^{11}+\beta _{1}q^{13}-3\beta _{1}q^{17}+\cdots\)