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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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 (10 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 11 19
1881.2.a.a 1881.a 1.a $1$ $15.020$ \(\Q\) None 627.2.a.b \(0\) \(0\) \(-4\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{4}-4q^{5}+2q^{7}+q^{11}+q^{13}+\cdots\)
1881.2.a.b 1881.a 1.a $1$ $15.020$ \(\Q\) None 627.2.a.a \(0\) \(0\) \(0\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}+2q^{7}-q^{11}-q^{13}+4q^{16}+\cdots\)
1881.2.a.c 1881.a 1.a $1$ $15.020$ \(\Q\) None 209.2.a.a \(0\) \(0\) \(3\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}+3q^{5}-4q^{7}-q^{11}+2q^{13}+\cdots\)
1881.2.a.d 1881.a 1.a $2$ $15.020$ \(\Q(\sqrt{2}) \) None 209.2.a.b \(0\) \(0\) \(2\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{5}+(-2+\beta )q^{7}-2\beta q^{8}+\cdots\)
1881.2.a.e 1881.a 1.a $3$ $15.020$ \(\Q(\zeta_{14})^+\) None 627.2.a.f \(-2\) \(0\) \(3\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(\beta _{1}+\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots\)
1881.2.a.f 1881.a 1.a $3$ $15.020$ 3.3.169.1 None 627.2.a.g \(-2\) \(0\) \(-5\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
1881.2.a.h 1881.a 1.a $3$ $15.020$ 3.3.169.1 None 627.2.a.c \(2\) \(0\) \(-1\) \(-5\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
1881.2.a.j 1881.a 1.a $4$ $15.020$ 4.4.23377.1 None 627.2.a.h \(-1\) \(0\) \(-3\) \(-5\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1-\beta _{2})q^{5}+\cdots\)
1881.2.a.n 1881.a 1.a $7$ $15.020$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None 1881.2.a.n \(-2\) \(0\) \(-8\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{6}q^{2}+(1-\beta _{3})q^{4}+(-1+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
1881.2.a.o 1881.a 1.a $7$ $15.020$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None 1881.2.a.o \(-2\) \(0\) \(0\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{6}q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots\)
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