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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
2.78.a.a	$2$	$78$	2.a	1.a	$1$	$3$	$3$	$75.096$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	✓	✓	✓	2.78.a.a	$1$	$1$	\(-824633720832\)	\(-25\!\cdots\!88\)	\(30\!\cdots\!10\)	\(-23\!\cdots\!16\)		$+$	$+$	$2^{24}\cdot 3^{11}\cdot 5^{2}\cdot 7\cdot 11\cdot 13\cdot 19$	$\mathrm{SU}(2)$	\(q-2^{38}q^{2}+(-842429601461527596+\cdots)q^{3}+\cdots\)

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