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The results below are complete, since the LMFDB contains all newforms with $Nk^2$ at most 4000

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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 (5 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
245.4.a.c	$245$	$4$	245.a	1.a	$1$	$1$	$1$	$14.455$	\(\Q\)	None	✓	✓			245.4.a.b	$1$	$1$	\(1\)	\(6\)	\(-5\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+6q^{3}-7q^{4}-5q^{5}+6q^{6}+\cdots\)
245.4.a.f	$245$	$4$	245.a	1.a	$1$	$1$	$1$	$14.455$	\(\Q\)	None	✓				35.4.e.a	$1$	$1$	\(3\)	\(2\)	\(-5\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+2q^{3}+q^{4}-5q^{5}+6q^{6}+\cdots\)
245.4.a.h	$245$	$4$	245.a	1.a	$1$	$2$	$2$	$14.455$	\(\Q(\sqrt{2}) \)	None	✓				35.4.e.b	$1$	$1$	\(-6\)	\(2\)	\(-10\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-3+\beta )q^{2}+(1+3\beta )q^{3}+(3-6\beta )q^{4}+\cdots\)
245.4.a.i	$245$	$4$	245.a	1.a	$1$	$2$	$2$	$14.455$	\(\Q(\sqrt{11}) \)	None	✓	✓			245.4.a.i	$1$	$1$	\(2\)	\(-10\)	\(-10\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}-5q^{3}+(4+2\beta )q^{4}-5q^{5}+\cdots\)
245.4.a.l	$245$	$4$	245.a	1.a	$1$	$3$	$3$	$14.455$	3.3.14360.1	None	✓		✓		35.4.a.c	$1$	$1$	\(-3\)	\(-2\)	\(-15\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-1-\beta _{1}+\beta _{2})q^{3}+\cdots\)

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