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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 (6 matches)

  displayed columns for results
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 7
294.2.a.a 294.a 1.a $1$ $2.348$ \(\Q\) None 42.2.e.b \(-1\) \(-1\) \(-3\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}-q^{8}+\cdots\)
294.2.a.b 294.a 1.a $1$ $2.348$ \(\Q\) None 294.2.a.b \(-1\) \(-1\) \(4\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+4q^{5}+q^{6}-q^{8}+\cdots\)
294.2.a.d 294.a 1.a $1$ $2.348$ \(\Q\) None 42.2.e.b \(-1\) \(1\) \(3\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}-q^{8}+\cdots\)
294.2.a.e 294.a 1.a $1$ $2.348$ \(\Q\) None 42.2.e.a \(1\) \(-1\) \(1\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
294.2.a.f 294.a 1.a $1$ $2.348$ \(\Q\) None 42.2.e.a \(1\) \(1\) \(-1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
294.2.a.g 294.a 1.a $1$ $2.348$ \(\Q\) None 42.2.a.a \(1\) \(1\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{8}+\cdots\)
  displayed columns for results