Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)
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Results (4 matches)
Download displayed columns for resultsLabel | Dim | $A$ | Field | CM | Traces | A-L signs | $q$-expansion | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | 7 | 11 | 13 | |||||||
1001.2.a.a | $1$ | $7.993$ | \(\Q\) | None | \(-2\) | \(-3\) | \(-3\) | \(-1\) | $+$ | $-$ | $+$ | \(q-2q^{2}-3q^{3}+2q^{4}-3q^{5}+6q^{6}+\cdots\) | |
1001.2.a.b | $1$ | $7.993$ | \(\Q\) | None | \(-1\) | \(0\) | \(-2\) | \(-1\) | $+$ | $-$ | $+$ | \(q-q^{2}-q^{4}-2q^{5}-q^{7}+3q^{8}-3q^{9}+\cdots\) | |
1001.2.a.f | $3$ | $7.993$ | 3.3.1101.1 | None | \(3\) | \(-1\) | \(1\) | \(-3\) | $+$ | $-$ | $+$ | \(q+q^{2}-\beta _{1}q^{3}-q^{4}+(1-\beta _{1}+\beta _{2})q^{5}+\cdots\) | |
1001.2.a.l | $7$ | $7.993$ | \(\mathbb{Q}[x]/(x^{7} - \cdots)\) | None | \(0\) | \(6\) | \(9\) | \(-7\) | $+$ | $-$ | $+$ | \(q+\beta _{5}q^{2}+(1-\beta _{1})q^{3}+(4+\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\) |