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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 (7 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 5 29
435.4.a.a 435.a 1.a $1$ $25.666$ \(\Q\) None 435.4.a.a \(-2\) \(-3\) \(5\) \(29\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}-3q^{3}-4q^{4}+5q^{5}+6q^{6}+\cdots\)
435.4.a.c 435.a 1.a $1$ $25.666$ \(\Q\) None 435.4.a.c \(5\) \(-3\) \(5\) \(16\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{2}-3q^{3}+17q^{4}+5q^{5}-15q^{6}+\cdots\)
435.4.a.e 435.a 1.a $2$ $25.666$ \(\Q(\sqrt{34}) \) None 435.4.a.e \(0\) \(6\) \(-10\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-8q^{4}-5q^{5}+\beta q^{7}+9q^{9}+\cdots\)
435.4.a.f 435.a 1.a $5$ $25.666$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None 435.4.a.f \(2\) \(-15\) \(-25\) \(-29\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-3q^{3}+(2+\beta _{2})q^{4}-5q^{5}+\cdots\)
435.4.a.h 435.a 1.a $6$ $25.666$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None 435.4.a.h \(1\) \(18\) \(-30\) \(47\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+3q^{3}+(8+\beta _{1}+\beta _{2})q^{4}+\cdots\)
435.4.a.i 435.a 1.a $7$ $25.666$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None 435.4.a.i \(-2\) \(-21\) \(35\) \(-50\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-3q^{3}+(3+\beta _{1}+\beta _{2})q^{4}+\cdots\)
435.4.a.l 435.a 1.a $10$ $25.666$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None 435.4.a.l \(4\) \(30\) \(50\) \(75\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+3q^{3}+(7+\beta _{2})q^{4}+5q^{5}+\cdots\)
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