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
\( T_{5}^{234} + 423 T_{5}^{232} - 591 T_{5}^{231} + 72126 T_{5}^{230} + 703053 T_{5}^{229} - 2853324 T_{5}^{228} - 795696507 T_{5}^{227} + 17289328635 T_{5}^{226} - 500223424476 T_{5}^{225} + \cdots + 30\!\cdots\!29 \)
acting on \(S_{4}^{\mathrm{new}}(162, [\chi])\).