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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 (9 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 3 5
4800.2.a.b 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-5\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-5q^{7}+q^{9}+6q^{11}+3q^{13}+\cdots\)
4800.2.a.h 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{7}+q^{9}-5q^{13}+5q^{19}+\cdots\)
4800.2.a.k 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
4800.2.a.l 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{7}+q^{9}-2q^{11}+6q^{13}+\cdots\)
4800.2.a.o 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-6q^{11}-5q^{13}+\cdots\)
4800.2.a.y 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+4q^{11}+3q^{13}+\cdots\)
4800.2.a.bc 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(3\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{7}+q^{9}-2q^{11}+3q^{13}+\cdots\)
4800.2.a.bj 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{7}+q^{9}+4q^{11}+4q^{17}+\cdots\)
4800.2.a.cu 4800.a 1.a $2$ $38.328$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{7}+q^{9}+\beta q^{11}+\beta q^{13}+\cdots\)
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