Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)
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Results (displaying both matches)
Download displayed columns for resultsLabel | Dim | $A$ | Field | CM | Traces | A-L signs | $q$-expansion | |||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | 2 | 7 | 11 | 13 | |||||||
4004.2.a.b | $1$ | $31.972$ | \(\Q\) | None | \(0\) | \(-1\) | \(-3\) | \(-1\) | $-$ | $+$ | $+$ | $-$ | \(q-q^{3}-3q^{5}-q^{7}-2q^{9}-q^{11}+q^{13}+\cdots\) | |
4004.2.a.f | $5$ | $31.972$ | 5.5.463341.1 | None | \(0\) | \(3\) | \(0\) | \(-5\) | $-$ | $+$ | $+$ | $-$ | \(q+(1-\beta _{1})q^{3}-\beta _{2}q^{5}-q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\) |