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Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

Degree	Bad \(p\)	Root analytic conductor	Motivic weight	Spectral label

Root number	Primitive	Origin	Exclude origin

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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

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		$L(s) = \prod_p F_p(p^{-s})^{-1}$
Label	Origin	\(F_{ 2 }(T)\)	\(F_{ 3 }(T)\)	\(F_{ 5 }(T)\)	\(F_{ 7 }(T)\)
8-1404e4-1.1-c1e4-0-4	Modular form 1404.2.b.f	$1$	$1$	$1 - 13 T^{2} + 83 T^{4} - 325 T^{6} + 625 T^{8}$	$1 - 12 T^{2} + 97 T^{4} - 588 T^{6} + 2401 T^{8}$
8-1404e4-1.1-c1e4-0-7	Modular form 1404.2.b.e	$1$	$1$	$1 - 13 T^{2} + 83 T^{4} - 325 T^{6} + 625 T^{8}$	$1 - 12 T^{2} + 97 T^{4} - 588 T^{6} + 2401 T^{8}$