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Columns to display Euler factor constraints
e.g. 3,7,19 e.g. F3=1-T,F5=1+T+5T^2

Results (5 matches)

  displayed columns for results
$L(s) = \prod_p F_p(p^{-s})^{-1}$
Label Origin \(F_{ 2 }(T)\) \(F_{ 3 }(T)\) \(F_{ 5 }(T)\) \(F_{ 7 }(T)\)
8-117e4-1.1-c1e4-0-1 Modular form 117.2.b.b $1 - 5 T^{4} + 16 T^{8}$ $1$ $1 - 2 T^{4} + 625 T^{8}$ $( 1 - 7 T^{2} )^{4}$
8-39e8-1.1-c1e4-0-5 Modular form 1521.2.a.t $1 - 5 T^{4} + 16 T^{8}$ $1$ $1 - 2 T^{4} + 625 T^{8}$ $( 1 + 7 T^{2} )^{4}$
8-1815e4-1.1-c1e4-0-1 Modular form 1815.2.a.s $1 - 5 T^{4} + 16 T^{8}$ $( 1 + T )^{4}$ $( 1 - T )^{4}$ $1 + 8 T^{2} + 62 T^{4} + 392 T^{6} + 2401 T^{8}$
8-5445e4-1.1-c1e4-0-0 Modular form 5445.2.a.bo $1 - 5 T^{4} + 16 T^{8}$ $1$ $( 1 + T )^{4}$ $1 + 8 T^{2} + 62 T^{4} + 392 T^{6} + 2401 T^{8}$
8-9075e4-1.1-c1e4-0-2 Modular form 9075.2.a.dc $1 - 5 T^{4} + 16 T^{8}$ $( 1 - T )^{4}$ $1$ $1 + 8 T^{2} + 62 T^{4} + 392 T^{6} + 2401 T^{8}$