Newform search results

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

Results (14 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	13
4225.2.a.a	$4225$	$2$	4225.a	1.a	$1$	$1$	$1$	$33.737$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(-1\)	\(0\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+2q^{4}+2q^{6}+2q^{7}+\cdots\)
4225.2.a.f	$4225$	$2$	4225.a	1.a	$1$	$1$	$1$	$33.737$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(2\)	\(0\)	\(-5\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}-q^{4}-2q^{6}-5q^{7}+3q^{8}+\cdots\)
4225.2.a.n	$4225$	$2$	4225.a	1.a	$1$	$1$	$1$	$33.737$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(2\)	\(0\)	\(5\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}-q^{4}+2q^{6}+5q^{7}-3q^{8}+\cdots\)
4225.2.a.o	$4225$	$2$	4225.a	1.a	$1$	$1$	$1$	$33.737$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-1\)	\(0\)	\(-2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-q^{3}+2q^{4}-2q^{6}-2q^{7}+\cdots\)
4225.2.a.v	$4225$	$2$	4225.a	1.a	$1$	$2$	$2$	$33.737$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-2q^{3}+q^{4}-2\beta q^{6}-\beta q^{8}+\cdots\)
4225.2.a.bb	$4225$	$2$	4225.a	1.a	$1$	$3$	$3$	$33.737$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(0\)	\(-3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{2}+(\beta _{1}-\beta _{2})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots\)
4225.2.a.bc	$4225$	$2$	4225.a	1.a	$1$	$3$	$3$	$33.737$	3.3.564.1	None	✓	$1$	$0$	\(-1\)	\(2\)	\(0\)	\(-2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1-\beta _{1})q^{3}+(2+\beta _{2})q^{4}+\cdots\)
4225.2.a.be	$4225$	$2$	4225.a	1.a	$1$	$3$	$3$	$33.737$	3.3.564.1	None	✓	$1$	$0$	\(1\)	\(2\)	\(0\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1-\beta _{1})q^{3}+(2+\beta _{2})q^{4}+\cdots\)
4225.2.a.bf	$4225$	$2$	4225.a	1.a	$1$	$3$	$3$	$33.737$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(1\)	\(5\)	\(0\)	\(5\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{1}-\beta _{2})q^{3}+\beta _{2}q^{4}+\cdots\)
4225.2.a.bi	$4225$	$2$	4225.a	1.a	$1$	$4$	$4$	$33.737$	4.4.4752.1	None	✓	$1$	$0$	\(-2\)	\(2\)	\(0\)	\(-10\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{3}q^{3}+(\beta _{1}+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
4225.2.a.bl	$4225$	$2$	4225.a	1.a	$1$	$4$	$4$	$33.737$	4.4.4752.1	None	✓	$1$	$0$	\(2\)	\(2\)	\(0\)	\(10\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{3}q^{3}+(\beta _{1}+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\)
4225.2.a.bt	$4225$	$2$	4225.a	1.a	$1$	$9$	$9$	$33.737$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(-7\)	\(0\)	\(7\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{6})q^{2}+(-1+\beta _{4})q^{3}+(2-\beta _{3}+\cdots)q^{4}+\cdots\)
4225.2.a.bv	$4225$	$2$	4225.a	1.a	$1$	$10$	$10$	$33.737$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(6\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{7})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4225.2.a.bz	$4225$	$2$	4225.a	1.a	$1$	$12$	$12$	$33.737$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(7\)	\(1\)	\(0\)	\(12\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-\beta _{7}q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)