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Level Weight Analytic conductor \(Nk^2\) Dim.
Bad \(p\) Char. Primitive character Character order Coefficient field
Self-twists CM/RM discriminant Inner twist count Is self-dual Analytic rank
Coefficient ring index Coefficient ring gens. Projective image Projective image type
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Results (18 matches)

  displayed columns for results
Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 5 7
2450.4.a.w 2450.a 1.a $1$ $144.555$ \(\Q\) None \(2\) \(-8\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-8q^{3}+4q^{4}-2^{4}q^{6}+8q^{8}+\cdots\)
2450.4.a.x 2450.a 1.a $1$ $144.555$ \(\Q\) None \(2\) \(-8\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-8q^{3}+4q^{4}-2^{4}q^{6}+8q^{8}+\cdots\)
2450.4.a.ba 2450.a 1.a $1$ $144.555$ \(\Q\) None \(2\) \(-3\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-3q^{3}+4q^{4}-6q^{6}+8q^{8}+\cdots\)
2450.4.a.bc 2450.a 1.a $1$ $144.555$ \(\Q\) None \(2\) \(-1\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-q^{3}+4q^{4}-2q^{6}+8q^{8}+\cdots\)
2450.4.a.bd 2450.a 1.a $1$ $144.555$ \(\Q\) None \(2\) \(-1\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-q^{3}+4q^{4}-2q^{6}+8q^{8}+\cdots\)
2450.4.a.be 2450.a 1.a $1$ $144.555$ \(\Q\) None \(2\) \(-1\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-q^{3}+4q^{4}-2q^{6}+8q^{8}+\cdots\)
2450.4.a.bf 2450.a 1.a $1$ $144.555$ \(\Q\) None \(2\) \(-1\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-q^{3}+4q^{4}-2q^{6}+8q^{8}+\cdots\)
2450.4.a.bj 2450.a 1.a $1$ $144.555$ \(\Q\) None \(2\) \(3\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+3q^{3}+4q^{4}+6q^{6}+8q^{8}+\cdots\)
2450.4.a.bl 2450.a 1.a $1$ $144.555$ \(\Q\) None \(2\) \(4\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+4q^{3}+4q^{4}+8q^{6}+8q^{8}+\cdots\)
2450.4.a.bm 2450.a 1.a $1$ $144.555$ \(\Q\) None \(2\) \(4\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+4q^{3}+4q^{4}+8q^{6}+8q^{8}+\cdots\)
2450.4.a.bo 2450.a 1.a $1$ $144.555$ \(\Q\) None \(2\) \(8\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+8q^{3}+4q^{4}+2^{4}q^{6}+8q^{8}+\cdots\)
2450.4.a.bp 2450.a 1.a $1$ $144.555$ \(\Q\) None \(2\) \(10\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+10q^{3}+4q^{4}+20q^{6}+8q^{8}+\cdots\)
2450.4.a.bq 2450.a 1.a $1$ $144.555$ \(\Q\) None \(2\) \(10\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+10q^{3}+4q^{4}+20q^{6}+8q^{8}+\cdots\)
2450.4.a.bt 2450.a 1.a $2$ $144.555$ \(\Q(\sqrt{177}) \) None \(4\) \(-5\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+(-2-\beta )q^{3}+4q^{4}+(-4+\cdots)q^{6}+\cdots\)
2450.4.a.bv 2450.a 1.a $2$ $144.555$ \(\Q(\sqrt{46}) \) None \(4\) \(-2\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+(-1+\beta )q^{3}+4q^{4}+(-2+\cdots)q^{6}+\cdots\)
2450.4.a.ca 2450.a 1.a $2$ $144.555$ \(\Q(\sqrt{177}) \) None \(4\) \(5\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+(3-\beta )q^{3}+4q^{4}+(6-2\beta )q^{6}+\cdots\)
2450.4.a.ch 2450.a 1.a $3$ $144.555$ 3.3.238585.1 None \(6\) \(-3\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+(-1+\beta _{1})q^{3}+4q^{4}+(-2+\cdots)q^{6}+\cdots\)
2450.4.a.ct 2450.a 1.a $4$ $144.555$ 4.4.1555279308.1 None \(8\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+\beta _{1}q^{3}+4q^{4}+2\beta _{1}q^{6}+8q^{8}+\cdots\)
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