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	Twist minimal	Largest	Maximal	Minimal twist	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	7	101
9898.2.a.a	$9898$	$2$	9898.a	1.a	$1$	$1$	$1$	$79.036$	\(\Q\)	None	✓				1414.2.a.a	$1$	$1$	\(-1\)	\(-1\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}-q^{8}+\cdots\)
9898.2.a.d	$9898$	$2$	9898.a	1.a	$1$	$1$	$1$	$79.036$	\(\Q\)	None	✓	✓			9898.2.a.d	$1$	$1$	\(1\)	\(-2\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-2q^{3}+q^{4}+2q^{5}-2q^{6}+q^{8}+\cdots\)
9898.2.a.g	$9898$	$2$	9898.a	1.a	$1$	$1$	$1$	$79.036$	\(\Q\)	None	✓	✓			9898.2.a.f	$1$	$1$	\(1\)	\(1\)	\(-4\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-4q^{5}+q^{6}+q^{8}+\cdots\)
9898.2.a.k	$9898$	$2$	9898.a	1.a	$1$	$2$	$2$	$79.036$	\(\Q(\sqrt{2}) \)	None	✓	✓			9898.2.a.k	$1$	$1$	\(-2\)	\(-6\)	\(4\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}+q^{4}+(2+\beta )q^{5}+3q^{6}+\cdots\)
9898.2.a.o	$9898$	$2$	9898.a	1.a	$1$	$3$	$3$	$79.036$	\(\Q(\zeta_{18})^+\)	None	✓				202.2.a.b	$1$	$1$	\(-3\)	\(3\)	\(3\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta _{1})q^{3}+q^{4}+(1-\beta _{1}-\beta _{2})q^{5}+\cdots\)
9898.2.a.p	$9898$	$2$	9898.a	1.a	$1$	$4$	$4$	$79.036$	4.4.4525.1	None	✓				1414.2.a.b	$1$	$1$	\(-4\)	\(-1\)	\(6\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+(2+\beta _{3})q^{5}+\beta _{1}q^{6}+\cdots\)
9898.2.a.r	$9898$	$2$	9898.a	1.a	$1$	$4$	$4$	$79.036$	\(\Q(\zeta_{15})^+\)	None	✓				1414.2.a.d	$1$	$1$	\(4\)	\(3\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1+\beta _{2}+\beta _{3})q^{3}+q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
9898.2.a.u	$9898$	$2$	9898.a	1.a	$1$	$7$	$7$	$79.036$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓				1414.2.a.g	$1$	$1$	\(-7\)	\(-3\)	\(-11\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{3}q^{3}+q^{4}+(-2+\beta _{6})q^{5}+\cdots\)
9898.2.a.w	$9898$	$2$	9898.a	1.a	$1$	$8$	$8$	$79.036$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓				1414.2.a.h	$1$	$1$	\(8\)	\(-6\)	\(-7\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-1+\beta _{3}+\cdots)q^{5}+\cdots\)
9898.2.a.y	$9898$	$2$	9898.a	1.a	$1$	$11$	$11$	$79.036$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	✓			9898.2.a.y	$1$	$1$	\(11\)	\(-2\)	\(-7\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-1+\beta _{3})q^{5}+\cdots\)
9898.2.a.ba	$9898$	$2$	9898.a	1.a	$1$	$12$	$12$	$79.036$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	✓			9898.2.a.ba	$1$	$1$	\(-12\)	\(-3\)	\(-5\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{5}q^{5}+\beta _{1}q^{6}+\cdots\)
9898.2.a.bc	$9898$	$2$	9898.a	1.a	$1$	$12$	$12$	$79.036$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓				1414.2.e.d	$1$	$1$	\(12\)	\(0\)	\(-1\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{5}q^{5}+\beta _{1}q^{6}+\cdots\)
9898.2.a.bd	$9898$	$2$	9898.a	1.a	$1$	$12$	$12$	$79.036$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓		✓		1414.2.e.d	$1$	$1$	\(12\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{4}q^{5}+\beta _{1}q^{6}+\cdots\)
9898.2.a.bg	$9898$	$2$	9898.a	1.a	$1$	$19$	$19$	$79.036$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓		✓		1414.2.e.f	$1$	$1$	\(-19\)	\(0\)	\(-1\)	\(0\)		$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{8}q^{5}-\beta _{1}q^{6}+\cdots\)
9898.2.a.bh	$9898$	$2$	9898.a	1.a	$1$	$19$	$19$	$79.036$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓				1414.2.e.f	$1$	$1$	\(-19\)	\(0\)	\(1\)	\(0\)		$+$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{8}q^{5}+\beta _{1}q^{6}+\cdots\)
9898.2.a.bk	$9898$	$2$	9898.a	1.a	$1$	$24$	$24$	$79.036$		None	✓	✓	✓		9898.2.a.bk	$1$	$1$	\(-24\)	\(0\)	\(-14\)	\(0\)		$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
9898.2.a.bm	$9898$	$2$	9898.a	1.a	$1$	$24$	$24$	$79.036$		None	✓	✓	✓		9898.2.a.bm	$1$	$1$	\(24\)	\(-6\)	\(-18\)	\(0\)		$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$