The results below are complete, since the LMFDB contains all newforms with $Nk^2$ at most 4000

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Level Weight Analytic conductor Analytic rank Dim.
Bad \(p\) Char. Primitive character Character order Is maximal/largest
Coefficient field Self-twists CM/RM discriminant Inner twist count Is self-dual
Coefficient ring index Coefficient ring gens. Is twist minimal Projective image
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Results (7 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 17
544.2.a.a 544.a 1.a $1$ $4.344$ \(\Q\) None 544.2.a.a \(0\) \(-2\) \(2\) \(-2\) $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+2q^{5}-2q^{7}+q^{9}+2q^{11}+\cdots\)
544.2.a.b 544.a 1.a $1$ $4.344$ \(\Q\) None 544.2.a.b \(0\) \(-2\) \(4\) \(4\) $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+4q^{5}+4q^{7}+q^{9}-2q^{11}+\cdots\)
544.2.a.d 544.a 1.a $1$ $4.344$ \(\Q\) None 544.2.a.c \(0\) \(0\) \(0\) \(2\) $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{7}-3q^{9}+4q^{11}+2q^{13}-q^{17}+\cdots\)
544.2.a.e 544.a 1.a $1$ $4.344$ \(\Q\) None 544.2.a.a \(0\) \(2\) \(2\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+2q^{5}+2q^{7}+q^{9}-2q^{11}+\cdots\)
544.2.a.f 544.a 1.a $1$ $4.344$ \(\Q\) None 544.2.a.b \(0\) \(2\) \(4\) \(-4\) $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+4q^{5}-4q^{7}+q^{9}+2q^{11}+\cdots\)
544.2.a.h 544.a 1.a $2$ $4.344$ \(\Q(\sqrt{10}) \) None 544.2.a.h \(0\) \(0\) \(-4\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-2q^{5}+\beta q^{7}+7q^{9}+\beta q^{11}+\cdots\)
544.2.a.j 544.a 1.a $3$ $4.344$ 3.3.148.1 None 544.2.a.i \(0\) \(2\) \(-2\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(1-\beta _{2})q^{7}+\cdots\)
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