Newform search results

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

Results (18 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	11
3025.2.a.d	$3025$	$2$	3025.a	1.a	$1$	$1$	$1$	$24.155$	\(\Q\)	\(\Q(\sqrt{-11}) \)	✓	$2$	$1$	\(0\)	\(1\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+q^{3}-2q^{4}-2q^{9}-2q^{12}+4q^{16}+\cdots\)
3025.2.a.h	$3025$	$2$	3025.a	1.a	$1$	$2$	$2$	$24.155$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(0\)	\(-5\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(1-\beta )q^{3}+(1+\beta )q^{4}+3q^{6}+\cdots\)
3025.2.a.j	$3025$	$2$	3025.a	1.a	$1$	$2$	$2$	$24.155$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(-4\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-2q^{3}+q^{4}-2\beta q^{6}+2\beta q^{7}+\cdots\)
3025.2.a.l	$3025$	$2$	3025.a	1.a	$1$	$2$	$2$	$24.155$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+q^{4}+\beta q^{6}-\beta q^{7}-\beta q^{8}+\cdots\)
3025.2.a.m	$3025$	$2$	3025.a	1.a	$1$	$2$	$2$	$24.155$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(1\)	\(-3\)	\(0\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(-1-\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
3025.2.a.q	$3025$	$2$	3025.a	1.a	$1$	$3$	$3$	$24.155$	3.3.473.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1-\beta _{1})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
3025.2.a.r	$3025$	$2$	3025.a	1.a	$1$	$3$	$3$	$24.155$	3.3.473.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1-\beta _{1})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
3025.2.a.v	$3025$	$2$	3025.a	1.a	$1$	$4$	$4$	$24.155$	4.4.2525.1	None	✓	$1$	$1$	\(-3\)	\(2\)	\(0\)	\(-11\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{3})q^{2}+\beta _{1}q^{3}+(1+\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)
3025.2.a.x	$3025$	$2$	3025.a	1.a	$1$	$4$	$4$	$24.155$	4.4.105840.1	None	✓	$2$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1-\beta _{2})q^{3}+(3+\beta _{2})q^{4}+\cdots\)
3025.2.a.y	$3025$	$2$	3025.a	1.a	$1$	$4$	$4$	$24.155$	\(\Q(\zeta_{24})^+\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{3}q^{3}+\beta _{2}q^{4}-q^{6}+(\beta _{1}+\cdots)q^{7}+\cdots\)
3025.2.a.z	$3025$	$2$	3025.a	1.a	$1$	$4$	$4$	$24.155$	\(\Q(\zeta_{24})^+\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{3}q^{3}+\beta _{2}q^{4}+q^{6}+(\beta _{1}+\cdots)q^{7}+\cdots\)
3025.2.a.ba	$3025$	$2$	3025.a	1.a	$1$	$4$	$4$	$24.155$	\(\Q(\sqrt{3}, \sqrt{11})\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(2+\beta _{3})q^{4}+\cdots\)
3025.2.a.bd	$3025$	$2$	3025.a	1.a	$1$	$4$	$4$	$24.155$	4.4.725.1	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1-\beta _{2}-\beta _{3})q^{3}+(-1+\beta _{1}+\cdots)q^{4}+\cdots\)
3025.2.a.bf	$3025$	$2$	3025.a	1.a	$1$	$6$	$6$	$24.155$	\(\Q(\zeta_{36})^+\)	None	✓	$2$	$1$	\(0\)	\(-6\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1-\beta _{4})q^{3}+\beta _{2}q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
3025.2.a.bg	$3025$	$2$	3025.a	1.a	$1$	$6$	$6$	$24.155$	6.6.27433728.1	None	✓	$2$	$1$	\(0\)	\(-6\)	\(0\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1+\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
3025.2.a.bi	$3025$	$2$	3025.a	1.a	$1$	$8$	$8$	$24.155$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-5\)	\(-1\)	\(0\)	\(-8\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+\beta _{5}q^{3}+(1-\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots\)
3025.2.a.bj	$3025$	$2$	3025.a	1.a	$1$	$8$	$8$	$24.155$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-5\)	\(1\)	\(0\)	\(-8\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}-\beta _{5}q^{3}+(1-\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots\)
3025.2.a.bk	$3025$	$2$	3025.a	1.a	$1$	$8$	$8$	$24.155$	8.8.1480160000.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{6}-\beta _{7})q^{3}+\beta _{2}q^{4}+\cdots\)