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Classical modular form labels
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\(Nk^2\)
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List
Dimension Table
Traces Table
Random
analytic conductor
Nk^2
dimension
relative dimension
level
weight
Results (displaying all 16 matches)
Label
Dim.
\(A\)
Field
CM
Traces
Fricke sign
$q$-expansion
\(a_2\)
\(a_3\)
\(a_5\)
\(a_7\)
4004.2.a.a
\(1\)
\(31.972\)
\(\Q\)
None
\(0\)
\(-2\)
\(0\)
\(1\)
\(-\)
\(q-2q^{3}+q^{7}+q^{9}-q^{11}+q^{13}+6q^{17}+\cdots\)
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.c
\(1\)
\(31.972\)
\(\Q\)
None
\(0\)
\(2\)
\(4\)
\(1\)
\(-\)
\(q+2q^{3}+4q^{5}+q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
4004.2.a.d
\(4\)
\(31.972\)
4.4.3981.1
None
\(0\)
\(-3\)
\(-1\)
\(4\)
\(+\)
\(q+(-1-\beta _{3})q^{3}+(\beta _{2}+\beta _{3})q^{5}+q^{7}+\cdots\)
4004.2.a.e
\(4\)
\(31.972\)
\(\Q(\zeta_{15})^+\)
None
\(0\)
\(1\)
\(1\)
\(-4\)
\(+\)
\(q+(-\beta _{2}-\beta _{3})q^{3}+(1-\beta _{1}+\beta _{3})q^{5}+\cdots\)
4004.2.a.f
\(5\)
\(31.972\)
5.5.463341.1
None
\(0\)
\(3\)
\(0\)
\(-5\)
\(+\)
\(q+(1-\beta _{1})q^{3}-\beta _{2}q^{5}-q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
4004.2.a.g
\(6\)
\(31.972\)
6.6.246302029.1
None
\(0\)
\(-2\)
\(-3\)
\(6\)
\(+\)
\(q-\beta _{1}q^{3}+(-1-\beta _{4})q^{5}+q^{7}+(1+\beta _{3}+\cdots)q^{9}+\cdots\)
4004.2.a.h
\(9\)
\(31.972\)
\(\mathbb{Q}[x]/(x^{9} - \cdots)\)
None
\(0\)
\(3\)
\(0\)
\(9\)
\(-\)
\(q+\beta _{1}q^{3}-\beta _{4}q^{5}+q^{7}+(2+\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots\)
4004.2.a.i
\(9\)
\(31.972\)
\(\mathbb{Q}[x]/(x^{9} - \cdots)\)
None
\(0\)
\(4\)
\(4\)
\(9\)
\(-\)
\(q+\beta _{1}q^{3}-\beta _{7}q^{5}+q^{7}+(1+\beta _{3}+\beta _{4}+\cdots)q^{9}+\cdots\)
4004.2.a.j
\(10\)
\(31.972\)
\(\mathbb{Q}[x]/(x^{10} - \cdots)\)
None
\(0\)
\(-2\)
\(-2\)
\(-10\)
\(-\)
\(q-\beta _{1}q^{3}+\beta _{3}q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots\)
4004.2.a.k
\(10\)
\(31.972\)
\(\mathbb{Q}[x]/(x^{10} - \cdots)\)
None
\(0\)
\(1\)
\(4\)
\(-10\)
\(-\)
\(q+\beta _{1}q^{3}-\beta _{4}q^{5}-q^{7}+(2+\beta _{2})q^{9}+\cdots\)
4004.2.e.a
\(48\)
\(31.972\)
None
\(0\)
\(0\)
\(0\)
\(-4\)
4004.2.e.b
\(48\)
\(31.972\)
None
\(0\)
\(0\)
\(0\)
\(4\)
4004.2.m.a
\(2\)
\(31.972\)
\(\Q(\sqrt{-1}) \)
None
\(0\)
\(4\)
\(0\)
\(0\)
\(q+2q^{3}+iq^{5}+iq^{7}+q^{9}-iq^{11}+\cdots\)
4004.2.m.b
\(30\)
\(31.972\)
None
\(0\)
\(0\)
\(0\)
\(0\)
4004.2.m.c
\(36\)
\(31.972\)
None
\(0\)
\(-4\)
\(0\)
\(0\)
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