The results below are complete, since the LMFDB contains all newforms with trivial character and $Nk^2$ at most 40000

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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 (5 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 3
2592.2.a.b 2592.a 1.a $1$ $20.697$ \(\Q\) None 288.2.i.a \(0\) \(0\) \(-4\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{5}+2q^{7}-5q^{11}-2q^{13}+3q^{17}+\cdots\)
2592.2.a.s 2592.a 1.a $2$ $20.697$ \(\Q(\sqrt{6}) \) None 288.2.i.c \(0\) \(0\) \(2\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(1+\beta )q^{7}+(1-\beta )q^{11}+(1+2\beta )q^{13}+\cdots\)
2592.2.a.t 2592.a 1.a $2$ $20.697$ \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-1}) \) 2592.2.a.i \(0\) \(0\) \(4\) \(0\) $+$ $-$ $N(\mathrm{U}(1))$ \(q+(2+\beta )q^{5}+(3+2\beta )q^{13}+(4+\beta )q^{17}+\cdots\)
2592.2.a.w 2592.a 1.a $4$ $20.697$ \(\Q(\sqrt{3}, \sqrt{7})\) None 2592.2.a.v \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{5}+(\beta _{1}-\beta _{2})q^{7}+(1+\beta _{3})q^{11}+\cdots\)
2592.2.a.x 2592.a 1.a $4$ $20.697$ \(\Q(\sqrt{18 +2 \sqrt{33}})\) None 288.2.i.f \(0\) \(0\) \(2\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{1})q^{5}+\beta _{3}q^{7}+\beta _{2}q^{11}+(1+\cdots)q^{13}+\cdots\)
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