Newform search results

Level	Weight	Analytic conductor	\(Nk^2\)	Dim.
Bad \(p\)	Char.	Primitive character	Character order	Coefficient field
Self-twist	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank
Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
		Only for weight 1:

Sort order

Results (12 matches)

 

Label	Dim.	\(A\)	Field	CM	Traces				Fricke sign	$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)
6012.2.a.a	\(2\)	\(48.006\)	\(\Q(\sqrt{13}) \)	None	\(0\)	\(0\)	\(6\)	\(3\)	\(-\)	\(q+3q^{5}+(2-\beta )q^{7}+(5-\beta )q^{13}-\beta q^{17}+\cdots\)
6012.2.a.b	\(3\)	\(48.006\)	3.3.148.1	None	\(0\)	\(0\)	\(0\)	\(0\)	\(+\)	\(q-\beta _{2}q^{5}+2\beta _{2}q^{7}+(-1-\beta _{1}-\beta _{2})q^{11}+\cdots\)
6012.2.a.c	\(3\)	\(48.006\)	3.3.148.1	None	\(0\)	\(0\)	\(0\)	\(0\)	\(-\)	\(q+\beta _{2}q^{5}+2\beta _{2}q^{7}+(1+\beta _{1}+\beta _{2})q^{11}+\cdots\)
6012.2.a.d	\(5\)	\(48.006\)	5.5.826865.1	None	\(0\)	\(0\)	\(-10\)	\(9\)	\(-\)	\(q-2q^{5}+(2-\beta _{3})q^{7}+(-\beta _{1}-\beta _{2}-\beta _{3}+\cdots)q^{11}+\cdots\)
6012.2.a.e	\(5\)	\(48.006\)	5.5.149169.1	None	\(0\)	\(0\)	\(3\)	\(-2\)	\(+\)	\(q+(\beta _{1}-\beta _{3}+\beta _{4})q^{5}+(-\beta _{1}-\beta _{4})q^{7}+\cdots\)
6012.2.a.f	\(5\)	\(48.006\)	5.5.161121.1	None	\(0\)	\(0\)	\(7\)	\(-2\)	\(-\)	\(q+(1+\beta _{3}+\beta _{4})q^{5}+(-1+\beta _{1}+\beta _{3}+\cdots)q^{7}+\cdots\)
6012.2.a.g	\(7\)	\(48.006\)	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	\(0\)	\(0\)	\(2\)	\(-12\)	\(+\)	\(q+(-\beta _{1}+\beta _{2}-\beta _{3})q^{5}+(-2-\beta _{1}+\cdots)q^{7}+\cdots\)
6012.2.a.h	\(9\)	\(48.006\)	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	\(0\)	\(0\)	\(-9\)	\(2\)	\(+\)	\(q+(-1+\beta _{1})q^{5}-\beta _{6}q^{7}+(-1+\beta _{5}+\cdots)q^{11}+\cdots\)
6012.2.a.i	\(9\)	\(48.006\)	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	\(0\)	\(0\)	\(-1\)	\(2\)	\(-\)	\(q-\beta _{1}q^{5}+(-\beta _{3}-\beta _{6})q^{7}+(1+\beta _{7}+\cdots)q^{11}+\cdots\)
6012.2.a.j	\(10\)	\(48.006\)	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	\(0\)	\(0\)	\(-6\)	\(4\)	\(+\)	\(q+(-1-\beta _{3})q^{5}+\beta _{1}q^{7}+(-\beta _{2}+\beta _{3}+\cdots)q^{11}+\cdots\)
6012.2.a.k	\(10\)	\(48.006\)	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	\(0\)	\(0\)	\(6\)	\(4\)	\(-\)	\(q+(1+\beta _{3})q^{5}+\beta _{1}q^{7}+(\beta _{2}-\beta _{3}-\beta _{6}+\cdots)q^{11}+\cdots\)
6012.2.h.a	\(56\)	\(48.006\)		None	\(0\)	\(0\)	\(0\)	\(0\)