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The results below are complete, since the LMFDB contains all newforms with trivial character and $Nk^2$ at most 40000

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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces					A-L signs	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2.80.a.b	$2$	$80$	2.a	1.a	$1$	$4$	$4$	$79.047$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	✓	✓	✓	2.80.a.b	$1$	$0$	\(-21\!\cdots\!52\)	\(43\!\cdots\!88\)	\(-20\!\cdots\!80\)	\(25\!\cdots\!04\)		$+$	$+$	$2^{45}\cdot 3^{12}\cdot 5^{5}\cdot 7\cdot 11\cdot 13$	$\mathrm{SU}(2)$	\(q-2^{39}q^{2}+(1099291558848636972+\cdots)q^{3}+\cdots\)

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