LMFDB - Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (32 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	7	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7448.2.a.b	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$-1$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{5}+q^{9}-q^{11}+2q^{13}+\cdots$
7448.2.a.d	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{5}+q^{9}-3q^{11}-6q^{13}+\cdots$
7448.2.a.e	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{5}+q^{9}+3q^{11}+2q^{13}+\cdots$
7448.2.a.f	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$-2$	$2$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+2q^{5}+q^{9}-q^{11}-4q^{13}+\cdots$
7448.2.a.h	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-3$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-3q^{9}-q^{11}+6q^{17}+q^{19}+\cdots$
7448.2.a.i	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-3$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-3q^{9}-q^{11}+2q^{13}+2q^{17}+\cdots$
7448.2.a.j	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-3$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-3q^{9}+5q^{11}+4q^{13}-2q^{17}+\cdots$
7448.2.a.k	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-2$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{5}-3q^{9}-q^{11}-2q^{13}+3q^{17}+\cdots$
7448.2.a.l	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$2$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{5}-3q^{9}-q^{11}+2q^{13}-3q^{17}+\cdots$
7448.2.a.m	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$3$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-3q^{9}-q^{11}-2q^{13}-2q^{17}+\cdots$
7448.2.a.n	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$3$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-3q^{9}-q^{11}-6q^{17}-q^{19}+\cdots$
7448.2.a.o	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$3$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-3q^{9}+5q^{11}-4q^{13}+2q^{17}+\cdots$
7448.2.a.p	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$-2$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-2q^{5}+q^{9}-q^{11}+4q^{13}+\cdots$
7448.2.a.q	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$-1$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}+q^{9}-3q^{11}+6q^{13}+\cdots$
7448.2.a.r	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$-1$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-q^{5}+q^{9}+3q^{11}-2q^{13}+\cdots$
7448.2.a.s	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{5}+q^{9}-3q^{11}+4q^{13}+\cdots$
7448.2.a.u	$7448$	$2$	7448.a	1.a	$1$	$1$	$1$	$59.473$	$\Q$	None	✓	$1$	$1$	$0$	$2$	$1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{5}+q^{9}-q^{11}-2q^{13}+\cdots$
7448.2.a.w	$7448$	$2$	7448.a	1.a	$1$	$2$	$2$	$59.473$	$\Q(\sqrt{57}) $	None	✓	$1$	$1$	$0$	$-4$	$-2$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-q^{5}+q^{9}+(-1-\beta )q^{11}+\cdots$
7448.2.a.x	$7448$	$2$	7448.a	1.a	$1$	$2$	$2$	$59.473$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$-4$	$2$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-2+\beta )q^{3}+q^{5}+(3-4\beta )q^{9}+(1+\cdots)q^{11}+\cdots$
7448.2.a.y	$7448$	$2$	7448.a	1.a	$1$	$2$	$2$	$59.473$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$-3$	$-5$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{3}+(-2-\beta )q^{5}+(-1+\cdots)q^{9}+\cdots$
7448.2.a.z	$7448$	$2$	7448.a	1.a	$1$	$2$	$2$	$59.473$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$-1$	$2$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+q^{5}+(-2+\beta )q^{9}+(1-3\beta )q^{11}+\cdots$
7448.2.a.bb	$7448$	$2$	7448.a	1.a	$1$	$2$	$2$	$59.473$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$0$	$1$	$2$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+q^{5}+\beta q^{9}+(-1+\beta )q^{11}+\cdots$
7448.2.a.bd	$7448$	$2$	7448.a	1.a	$1$	$2$	$2$	$59.473$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$4$	$-2$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(2+\beta )q^{3}-q^{5}+(3+4\beta )q^{9}+(1-3\beta )q^{11}+\cdots$
7448.2.a.be	$7448$	$2$	7448.a	1.a	$1$	$2$	$2$	$59.473$	$\Q(\sqrt{57}) $	None	✓	$1$	$1$	$0$	$4$	$2$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+q^{5}+q^{9}+(-2+\beta )q^{11}+\cdots$
7448.2.a.bg	$7448$	$2$	7448.a	1.a	$1$	$3$	$3$	$59.473$	3.3.1076.1	None	✓	$1$	$1$	$0$	$0$	$-2$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+(-1-\beta _{1}+\beta _{2})q^{5}+(2+\beta _{1}+\cdots)q^{9}+\cdots$
7448.2.a.bh	$7448$	$2$	7448.a	1.a	$1$	$3$	$3$	$59.473$	3.3.1076.1	None	✓	$1$	$1$	$0$	$0$	$2$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+(1+\beta _{1}-\beta _{2})q^{5}+(2+\beta _{1}+\cdots)q^{9}+\cdots$
7448.2.a.bi	$7448$	$2$	7448.a	1.a	$1$	$3$	$3$	$59.473$	3.3.1101.1	None	✓	$1$	$1$	$0$	$1$	$-2$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{3}+(-1-\beta _{2})q^{5}+(4-\beta _{1}+\beta _{2})q^{9}+\cdots$
7448.2.a.bj	$7448$	$2$	7448.a	1.a	$1$	$4$	$4$	$59.473$	4.4.25857.1	None	✓	$1$	$1$	$0$	$-2$	$-1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots$
7448.2.a.bm	$7448$	$2$	7448.a	1.a	$1$	$6$	$6$	$59.473$	6.6.98211824.1	None	✓	$1$	$1$	$0$	$-3$	$-1$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}+\beta _{3}q^{5}+(1-\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots$
7448.2.a.bo	$7448$	$2$	7448.a	1.a	$1$	$7$	$7$	$59.473$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	$1$	$1$	$0$	$-1$	$-1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}-\beta _{5}q^{5}+(1+\beta _{4}+\beta _{5})q^{9}+\cdots$
7448.2.a.bu	$7448$	$2$	7448.a	1.a	$1$	$14$	$14$	$59.473$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None	✓	$1$	$1$	$0$	$-6$	$-2$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+\beta _{7}q^{5}+(1+\beta _{1}+\beta _{2})q^{9}+\cdots$
7448.2.a.bv	$7448$	$2$	7448.a	1.a	$1$	$14$	$14$	$59.473$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None	✓	$1$	$1$	$0$	$-2$	$-2$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{3}+\beta _{11}q^{5}+(1+\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.