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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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Results (3 matches)

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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	3	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
18.26.a.a	$18$	$26$	18.a	1.a	$1$	$1$	$1$	$71.279$	\(\Q\)	None	✓				6.26.a.c	$1$	$0$	\(-4096\)	\(0\)	\(799327650\)	\(7962409664\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2^{12}q^{2}+2^{24}q^{4}+799327650q^{5}+\cdots\)
18.26.a.e	$18$	$26$	18.a	1.a	$1$	$2$	$2$	$71.279$	\(\Q(\sqrt{106705}) \)	None	✓		✓		2.26.a.b	$1$	$0$	\(-8192\)	\(0\)	\(-741953100\)	\(-376536944\)		$+$	$-$	$-$	$2^{7}\cdot 3^{5}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q-2^{12}q^{2}+2^{24}q^{4}+(-370976550+\cdots)q^{5}+\cdots\)
18.26.a.g	$18$	$26$	18.a	1.a	$1$	$2$	$2$	$71.279$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	✓	✓	✓	18.26.a.f	$1$	$0$	\(8192\)	\(0\)	\(697960704\)	\(-19285401800\)		$-$	$+$	$-$	$2^{5}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+2^{12}q^{2}+2^{24}q^{4}+(348980352+\cdots)q^{5}+\cdots\)

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