Newform invariants
The dimension is sufficiently large that we do not compute an algebraic \(q\)-expansion, but we have computed the trace expansion.
For each embedding \(\iota_m\) of the coefficient field, the values \(\iota_m(a_n)\) are shown below.
For more information on an embedded modular form you can click on its label.
This newform subspace can be constructed as the kernel of the linear operator
\( T_{5}^{128} - 512 T_{5}^{122} + 205312 T_{5}^{120} - 113408 T_{5}^{118} + 131072 T_{5}^{116} - 84445440 T_{5}^{114} + 14102444544 T_{5}^{112} - 20464036352 T_{5}^{110} + 22756098048 T_{5}^{108} + \cdots + 28\!\cdots\!96 \)
acting on \(S_{2}^{\mathrm{new}}(864, [\chi])\).