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:

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Results (17 matches)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs		$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		5	241
6025.2.a.a	\(2\)	\(48.110\)	\(\Q(\sqrt{5}) \)	None	\(-2\)	\(1\)	\(0\)	\(-2\)		\(-\)	\(-\)	\(q-q^{2}+\beta q^{3}-q^{4}-\beta q^{6}+(-2+2\beta )q^{7}+\cdots\)
6025.2.a.b	\(2\)	\(48.110\)	\(\Q(\sqrt{5}) \)	None	\(0\)	\(-3\)	\(0\)	\(2\)		\(-\)	\(-\)	\(q+(1-2\beta )q^{2}+(-2+\beta )q^{3}+3q^{4}+\cdots\)
6025.2.a.c	\(2\)	\(48.110\)	\(\Q(\sqrt{5}) \)	None	\(0\)	\(3\)	\(0\)	\(-2\)		\(-\)	\(-\)	\(q+(1-2\beta )q^{2}+(1+\beta )q^{3}+3q^{4}+(-1+\cdots)q^{6}+\cdots\)
6025.2.a.d	\(2\)	\(48.110\)	\(\Q(\sqrt{5}) \)	None	\(2\)	\(-1\)	\(0\)	\(2\)		\(-\)	\(-\)	\(q+q^{2}+(-1+\beta )q^{3}-q^{4}+(-1+\beta )q^{6}+\cdots\)
6025.2.a.e	\(5\)	\(48.110\)	5.5.38569.1	None	\(1\)	\(5\)	\(0\)	\(10\)		\(+\)	\(-\)	\(q+(\beta _{1}+\beta _{3})q^{2}+(1-\beta _{1}-\beta _{3}-\beta _{4})q^{3}+\cdots\)
6025.2.a.f	\(7\)	\(48.110\)	7.7.31056073.1	None	\(4\)	\(3\)	\(0\)	\(7\)		\(+\)	\(+\)	\(q+(1-\beta _{1})q^{2}-\beta _{6}q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
6025.2.a.g	\(11\)	\(48.110\)	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	\(4\)	\(8\)	\(0\)	\(9\)		\(+\)	\(-\)	\(q+(1-\beta _{1}+\beta _{2})q^{2}+(1+\beta _{2}+\beta _{3})q^{3}+\cdots\)
6025.2.a.h	\(12\)	\(48.110\)	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	\(-3\)	\(-1\)	\(0\)	\(-3\)		\(+\)	\(-\)	\(q-\beta _{1}q^{2}-\beta _{8}q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{3}+\cdots)q^{6}+\cdots\)
6025.2.a.i	\(15\)	\(48.110\)	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	\(-2\)	\(7\)	\(0\)	\(3\)		\(+\)	\(+\)	\(q-\beta _{1}q^{2}-\beta _{11}q^{3}+\beta _{2}q^{4}+(-\beta _{8}+\cdots)q^{6}+\cdots\)
6025.2.a.j	\(25\)	\(48.110\)		None	\(-6\)	\(-15\)	\(0\)	\(-19\)		\(+\)	\(+\)
6025.2.a.k	\(25\)	\(48.110\)		None	\(4\)	\(-9\)	\(0\)	\(-7\)		\(+\)	\(-\)
6025.2.a.l	\(40\)	\(48.110\)		None	\(-11\)	\(-8\)	\(0\)	\(-16\)		\(+\)	\(+\)
6025.2.a.m	\(40\)	\(48.110\)		None	\(-9\)	\(-8\)	\(0\)	\(-20\)		\(-\)	\(-\)
6025.2.a.n	\(40\)	\(48.110\)		None	\(9\)	\(8\)	\(0\)	\(20\)		\(+\)	\(-\)
6025.2.a.o	\(40\)	\(48.110\)		None	\(11\)	\(8\)	\(0\)	\(16\)		\(-\)	\(+\)
6025.2.a.p	\(46\)	\(48.110\)		None	\(0\)	\(0\)	\(0\)	\(0\)		\(-\)	\(-\)
6025.2.a.q	\(66\)	\(48.110\)		None	\(0\)	\(0\)	\(0\)	\(0\)		\(-\)	\(+\)