Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)
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Label | Dim | $A$ | Field | CM | Traces | A-L signs | $q$-expansion | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | 2 | 5 | 13 | |||||||
3380.2.a.b | $1$ | $26.989$ | \(\Q\) | None | \(0\) | \(-3\) | \(1\) | \(3\) | $-$ | $-$ | $+$ | \(q-3q^{3}+q^{5}+3q^{7}+6q^{9}+3q^{11}+\cdots\) | |
3380.2.a.c | $1$ | $26.989$ | \(\Q\) | None | \(0\) | \(-2\) | \(1\) | \(-2\) | $-$ | $-$ | $+$ | \(q-2q^{3}+q^{5}-2q^{7}+q^{9}-2q^{15}+\cdots\) | |
3380.2.a.e | $1$ | $26.989$ | \(\Q\) | None | \(0\) | \(-1\) | \(1\) | \(-5\) | $-$ | $-$ | $+$ | \(q-q^{3}+q^{5}-5q^{7}-2q^{9}+5q^{11}+\cdots\) | |
3380.2.a.h | $1$ | $26.989$ | \(\Q\) | None | \(0\) | \(1\) | \(1\) | \(-1\) | $-$ | $-$ | $+$ | \(q+q^{3}+q^{5}-q^{7}-2q^{9}+3q^{11}+q^{15}+\cdots\) | |
3380.2.a.i | $1$ | $26.989$ | \(\Q\) | None | \(0\) | \(1\) | \(1\) | \(1\) | $-$ | $-$ | $+$ | \(q+q^{3}+q^{5}+q^{7}-2q^{9}-3q^{11}+q^{15}+\cdots\) | |
3380.2.a.j | $1$ | $26.989$ | \(\Q\) | None | \(0\) | \(2\) | \(1\) | \(-2\) | $-$ | $-$ | $+$ | \(q+2q^{3}+q^{5}-2q^{7}+q^{9}-4q^{11}+\cdots\) | |
3380.2.a.l | $3$ | $26.989$ | \(\Q(\zeta_{14})^+\) | None | \(0\) | \(-1\) | \(3\) | \(1\) | $-$ | $-$ | $+$ | \(q-\beta _{1}q^{3}+q^{5}+\beta _{1}q^{7}+(-1+\beta _{2})q^{9}+\cdots\) |