LMFDB - Newform search results

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Level	Weight	Analytic conductor	$Nk^2$	Dim.

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

Self-twist	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 (1-50 of 325 matches)

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Label	Dim.	$A$	Field	CM	RM	Traces				Fricke sign	$q$-expansion
Label	Dim.	$A$	Field	CM	RM	$a_2$	$a_3$	$a_5$	$a_7$	Fricke sign	$q$-expansion
144.1.g.a	$1$	$0.072$	$\Q$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-1}) $	$\Q(\sqrt{3}) $	$0$	$0$	$0$	$0$		$q-2q^{13}-q^{25}+2q^{37}+q^{49}+2q^{61}+\cdots$
144.2.a.a	$1$	$1.150$	$\Q$	$\Q(\sqrt{-3}) $	None	$0$	$0$	$0$	$4$	$-$	$q+4q^{7}+2q^{13}-8q^{19}-5q^{25}+4q^{31}+\cdots$
144.2.a.b	$1$	$1.150$	$\Q$	None	None	$0$	$0$	$2$	$0$	$-$	$q+2q^{5}+4q^{11}-2q^{13}-2q^{17}+4q^{19}+\cdots$
144.2.c.a	$2$	$1.150$	$\Q(\sqrt{-2}) $	$\Q(\sqrt{-1}) $	None	$0$	$0$	$0$	$0$		$q+\beta q^{5}+4q^{13}-\beta q^{17}-13q^{25}+\cdots$
144.2.i.a	$2$	$1.150$	$\Q(\sqrt{-3}) $	None	None	$0$	$0$	$-3$	$-1$		$q+(1-2\zeta_{6})q^{3}-3\zeta_{6}q^{5}+(-1+\zeta_{6})q^{7}+\cdots$
144.2.i.b	$2$	$1.150$	$\Q(\sqrt{-3}) $	None	None	$0$	$0$	$1$	$-3$		$q+(-1+2\zeta_{6})q^{3}+\zeta_{6}q^{5}+(-3+3\zeta_{6})q^{7}+\cdots$
144.2.i.c	$2$	$1.150$	$\Q(\sqrt{-3}) $	None	None	$0$	$3$	$0$	$2$		$q+(1+\zeta_{6})q^{3}+(2-2\zeta_{6})q^{7}+3\zeta_{6}q^{9}+\cdots$
144.2.i.d	$4$	$1.150$	$\Q(\sqrt{-3}, \sqrt{-11})$	None	None	$0$	$-1$	$1$	$3$		$q-\beta _{1}q^{3}+(\beta _{1}-\beta _{2}-2\beta _{3})q^{5}+(-1+\cdots)q^{7}+\cdots$
144.2.k.a	$2$	$1.150$	$\Q(\sqrt{-1}) $	None	None	$2$	$0$	$2$	$0$		$q+(1+i)q^{2}+2iq^{4}+(1+i)q^{5}-2iq^{7}+\cdots$
144.2.k.b	$8$	$1.150$	8.0.18939904.2	None	None	$0$	$0$	$0$	$0$		$q-\beta _{6}q^{2}+(-1-\beta _{1}-\beta _{3}+\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots$
144.2.k.c	$8$	$1.150$	8.0.629407744.1	None	None	$0$	$0$	$0$	$0$		$q+\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{4}-\beta _{6})q^{5}+(-1+\cdots)q^{7}+\cdots$
144.2.l.a	$16$	$1.150$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None	None	$0$	$0$	$0$	$0$		$q+\beta _{11}q^{2}-\beta _{7}q^{4}+\beta _{6}q^{5}+(-\beta _{4}+\cdots)q^{7}+\cdots$
144.2.s.a	$2$	$1.150$	$\Q(\sqrt{-3}) $	None	None	$0$	$-3$	$-6$	$-6$		$q+(-1-\zeta_{6})q^{3}+(-4+2\zeta_{6})q^{5}+(-2+\cdots)q^{7}+\cdots$
144.2.s.b	$2$	$1.150$	$\Q(\sqrt{-3}) $	None	None	$0$	$0$	$3$	$-3$		$q+(1-2\zeta_{6})q^{3}+(2-\zeta_{6})q^{5}+(-1-\zeta_{6})q^{7}+\cdots$
144.2.s.c	$2$	$1.150$	$\Q(\sqrt{-3}) $	None	None	$0$	$0$	$3$	$3$		$q+(-1+2\zeta_{6})q^{3}+(2-\zeta_{6})q^{5}+(1+\zeta_{6})q^{7}+\cdots$
144.2.s.d	$2$	$1.150$	$\Q(\sqrt{-3}) $	None	None	$0$	$3$	$-6$	$6$		$q+(1+\zeta_{6})q^{3}+(-4+2\zeta_{6})q^{5}+(2+2\zeta_{6})q^{7}+\cdots$
144.2.s.e	$4$	$1.150$	$\Q(\zeta_{12})$	None	None	$0$	$0$	$6$	$0$		$q-\zeta_{12}^{3}q^{3}+(1+\zeta_{12})q^{5}+(-\zeta_{12}^{2}+\cdots)q^{7}+\cdots$
144.2.u.a	$88$	$1.150$		None	None	$-6$	$-4$	$-6$	$-4$
144.2.x.a	$4$	$1.150$	$\Q(\zeta_{12})$	None	None	$-4$	$0$	$-4$	$12$		$q+(-1-\zeta_{12}^{3})q^{2}+(2\zeta_{12}-\zeta_{12}^{3})q^{3}+\cdots$
144.2.x.b	$4$	$1.150$	$\Q(\zeta_{12})$	None	None	$-2$	$-6$	$-8$	$-6$		$q+(\zeta_{12}-\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+(-2+\zeta_{12}^{2}+\cdots)q^{3}+\cdots$
144.2.x.c	$4$	$1.150$	$\Q(\zeta_{12})$	None	None	$-2$	$0$	$4$	$6$		$q+(\zeta_{12}-\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+(\zeta_{12}+\zeta_{12}^{3})q^{3}+\cdots$
144.2.x.d	$4$	$1.150$	$\Q(\zeta_{12})$	None	None	$2$	$0$	$2$	$-12$		$q+(1+\zeta_{12}-\zeta_{12}^{2})q^{2}+(-1+2\zeta_{12}^{2}+\cdots)q^{3}+\cdots$
144.2.x.e	$72$	$1.150$		None	None	$4$	$2$	$4$	$0$
144.3.e.a	$2$	$3.924$	$\Q(\sqrt{-2}) $	None	None	$0$	$0$	$0$	$-24$		$q+5\beta q^{5}-12q^{7}+4\beta q^{11}-8q^{13}+\cdots$
144.3.e.b	$2$	$3.924$	$\Q(\sqrt{-2}) $	None	None	$0$	$0$	$0$	$8$		$q+\beta q^{5}+4q^{7}+4\beta q^{11}+8q^{13}+3\beta q^{17}+\cdots$
144.3.g.a	$1$	$3.924$	$\Q$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$6$	$0$		$q+6q^{5}+10q^{13}+30q^{17}+11q^{25}+\cdots$
144.3.g.b	$2$	$3.924$	$\Q(\sqrt{-3}) $	None	None	$0$	$0$	$-12$	$0$		$q-6q^{5}-\zeta_{6}q^{7}-3\zeta_{6}q^{11}-14q^{13}+\cdots$
144.3.g.c	$2$	$3.924$	$\Q(\sqrt{-3}) $	$\Q(\sqrt{-3}) $	None	$0$	$0$	$0$	$0$		$q-\zeta_{6}q^{7}+22q^{13}-2\zeta_{6}q^{19}-5^{2}q^{25}+\cdots$
144.3.j.a	$32$	$3.924$		None	None	$0$	$0$	$0$	$0$
144.3.m.a	$6$	$3.924$	6.0.399424.1	None	None	$2$	$0$	$2$	$-4$		$q+\beta _{3}q^{2}+(-1-\beta _{1}+\beta _{4}-\beta _{5})q^{4}+\cdots$
144.3.m.b	$16$	$3.924$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None	None	$0$	$0$	$0$	$0$		$q-\beta _{4}q^{2}+(-1-\beta _{2})q^{4}+\beta _{8}q^{5}+(\beta _{11}+\cdots)q^{7}+\cdots$
144.3.m.c	$16$	$3.924$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None	None	$0$	$0$	$0$	$0$		$q-\beta _{2}q^{2}+(1-\beta _{1})q^{4}+(-\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots$
144.3.o.a	$8$	$3.924$	8.0.856615824.2	None	None	$0$	$-3$	$3$	$3$		$q+(1-\beta _{1}+\beta _{2}+\beta _{3})q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$
144.3.o.b	$8$	$3.924$	8.0.121550625.1	None	None	$0$	$0$	$-6$	$0$		$q+(\beta _{2}+\beta _{5})q^{3}+(-1-\beta _{1}-\beta _{7})q^{5}+\cdots$
144.3.o.c	$8$	$3.924$	8.0.856615824.2	None	None	$0$	$3$	$3$	$-3$		$q+(-\beta _{3}+\beta _{4})q^{3}+(1-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{5}+\cdots$
144.3.q.a	$2$	$3.924$	$\Q(\sqrt{-3}) $	None	None	$0$	$3$	$6$	$2$		$q+(3-3\zeta_{6})q^{3}+(4-2\zeta_{6})q^{5}+(2-2\zeta_{6})q^{7}+\cdots$
144.3.q.b	$4$	$3.924$	$\Q(\sqrt{-3}, \sqrt{-11})$	None	None	$0$	$-3$	$9$	$1$		$q+(-1+\beta _{3})q^{3}+(4-\beta _{1}+2\beta _{2}-\beta _{3})q^{5}+\cdots$
144.3.q.c	$4$	$3.924$	$\Q(\sqrt{-2}, \sqrt{-3})$	None	None	$0$	$0$	$-18$	$-2$		$q+(1-2\beta _{1}-\beta _{3})q^{3}+(-3-3\beta _{1})q^{5}+\cdots$
144.3.q.d	$4$	$3.924$	$\Q(\sqrt{-2}, \sqrt{-3})$	None	None	$0$	$12$	$6$	$6$		$q+3q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+(\beta _{1}+3\beta _{2}+\cdots)q^{7}+\cdots$
144.3.q.e	$8$	$3.924$	8.0.$\cdots$.9	None	None	$0$	$-10$	$-6$	$-6$		$q+(-1+\beta _{2}-\beta _{3})q^{3}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots$
144.3.v.a	$184$	$3.924$		None	None	$-2$	$-4$	$-2$	$-4$
144.3.w.a	$184$	$3.924$		None	None	$-6$	$-4$	$-6$	$0$
144.4.a.a	$1$	$8.496$	$\Q$	None	None	$0$	$0$	$-16$	$12$	$+$	$q-2^{4}q^{5}+12q^{7}+2^{6}q^{11}+58q^{13}+\cdots$
144.4.a.b	$1$	$8.496$	$\Q$	None	None	$0$	$0$	$-14$	$24$	$-$	$q-14q^{5}+24q^{7}-28q^{11}-74q^{13}+\cdots$
144.4.a.c	$1$	$8.496$	$\Q$	None	None	$0$	$0$	$-6$	$16$	$+$	$q-6q^{5}+2^{4}q^{7}+12q^{11}+38q^{13}+\cdots$
144.4.a.d	$1$	$8.496$	$\Q$	$\Q(\sqrt{-3}) $	None	$0$	$0$	$0$	$-20$	$-$	$q-20q^{7}-70q^{13}-56q^{19}-5^{3}q^{25}+\cdots$
144.4.a.e	$1$	$8.496$	$\Q$	None	None	$0$	$0$	$2$	$-24$	$-$	$q+2q^{5}-24q^{7}-44q^{11}+22q^{13}+\cdots$
144.4.a.f	$1$	$8.496$	$\Q$	None	None	$0$	$0$	$16$	$12$	$+$	$q+2^{4}q^{5}+12q^{7}-2^{6}q^{11}+58q^{13}+\cdots$
144.4.a.g	$1$	$8.496$	$\Q$	None	None	$0$	$0$	$18$	$-8$	$+$	$q+18q^{5}-8q^{7}+6^{2}q^{11}-10q^{13}+\cdots$
144.4.c.a	$2$	$8.496$	$\Q(\sqrt{-2}) $	$\Q(\sqrt{-1}) $	None	$0$	$0$	$0$	$0$		$q+\beta q^{5}-92q^{13}+11\beta q^{17}-37q^{25}+\cdots$

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$\zeta$ zeros

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Elliptic curves over $\Q$
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Higher genus families
Abelian varieties over $\F_{q}$

Label	Dim.	\(A\)	Field	CM	RM	Traces				Fricke sign	$q$-expansion
Label	Dim.	\(A\)	Field	CM	RM	\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)	Fricke sign	$q$-expansion
144.1.g.a	\(1\)	\(0.072\)	\(\Q\)	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1}) \)	\(\Q(\sqrt{3}) \)	\(0\)	\(0\)	\(0\)	\(0\)		\(q-2q^{13}-q^{25}+2q^{37}+q^{49}+2q^{61}+\cdots\)
144.2.a.a	\(1\)	\(1.150\)	\(\Q\)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(0\)	\(0\)	\(4\)	\(-\)	\(q+4q^{7}+2q^{13}-8q^{19}-5q^{25}+4q^{31}+\cdots\)
144.2.a.b	\(1\)	\(1.150\)	\(\Q\)	None	None	\(0\)	\(0\)	\(2\)	\(0\)	\(-\)	\(q+2q^{5}+4q^{11}-2q^{13}-2q^{17}+4q^{19}+\cdots\)
144.2.c.a	\(2\)	\(1.150\)	\(\Q(\sqrt{-2}) \)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+\beta q^{5}+4q^{13}-\beta q^{17}-13q^{25}+\cdots\)
144.2.i.a	\(2\)	\(1.150\)	\(\Q(\sqrt{-3}) \)	None	None	\(0\)	\(0\)	\(-3\)	\(-1\)		\(q+(1-2\zeta_{6})q^{3}-3\zeta_{6}q^{5}+(-1+\zeta_{6})q^{7}+\cdots\)
144.2.i.b	\(2\)	\(1.150\)	\(\Q(\sqrt{-3}) \)	None	None	\(0\)	\(0\)	\(1\)	\(-3\)		\(q+(-1+2\zeta_{6})q^{3}+\zeta_{6}q^{5}+(-3+3\zeta_{6})q^{7}+\cdots\)
144.2.i.c	\(2\)	\(1.150\)	\(\Q(\sqrt{-3}) \)	None	None	\(0\)	\(3\)	\(0\)	\(2\)		\(q+(1+\zeta_{6})q^{3}+(2-2\zeta_{6})q^{7}+3\zeta_{6}q^{9}+\cdots\)
144.2.i.d	\(4\)	\(1.150\)	\(\Q(\sqrt{-3}, \sqrt{-11})\)	None	None	\(0\)	\(-1\)	\(1\)	\(3\)		\(q-\beta _{1}q^{3}+(\beta _{1}-\beta _{2}-2\beta _{3})q^{5}+(-1+\cdots)q^{7}+\cdots\)
144.2.k.a	\(2\)	\(1.150\)	\(\Q(\sqrt{-1}) \)	None	None	\(2\)	\(0\)	\(2\)	\(0\)		\(q+(1+i)q^{2}+2iq^{4}+(1+i)q^{5}-2iq^{7}+\cdots\)
144.2.k.b	\(8\)	\(1.150\)	8.0.18939904.2	None	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q-\beta _{6}q^{2}+(-1-\beta _{1}-\beta _{3}+\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots\)
144.2.k.c	\(8\)	\(1.150\)	8.0.629407744.1	None	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{4}-\beta _{6})q^{5}+(-1+\cdots)q^{7}+\cdots\)
144.2.l.a	\(16\)	\(1.150\)	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+\beta _{11}q^{2}-\beta _{7}q^{4}+\beta _{6}q^{5}+(-\beta _{4}+\cdots)q^{7}+\cdots\)
144.2.s.a	\(2\)	\(1.150\)	\(\Q(\sqrt{-3}) \)	None	None	\(0\)	\(-3\)	\(-6\)	\(-6\)		\(q+(-1-\zeta_{6})q^{3}+(-4+2\zeta_{6})q^{5}+(-2+\cdots)q^{7}+\cdots\)
144.2.s.b	\(2\)	\(1.150\)	\(\Q(\sqrt{-3}) \)	None	None	\(0\)	\(0\)	\(3\)	\(-3\)		\(q+(1-2\zeta_{6})q^{3}+(2-\zeta_{6})q^{5}+(-1-\zeta_{6})q^{7}+\cdots\)
144.2.s.c	\(2\)	\(1.150\)	\(\Q(\sqrt{-3}) \)	None	None	\(0\)	\(0\)	\(3\)	\(3\)		\(q+(-1+2\zeta_{6})q^{3}+(2-\zeta_{6})q^{5}+(1+\zeta_{6})q^{7}+\cdots\)
144.2.s.d	\(2\)	\(1.150\)	\(\Q(\sqrt{-3}) \)	None	None	\(0\)	\(3\)	\(-6\)	\(6\)		\(q+(1+\zeta_{6})q^{3}+(-4+2\zeta_{6})q^{5}+(2+2\zeta_{6})q^{7}+\cdots\)
144.2.s.e	\(4\)	\(1.150\)	\(\Q(\zeta_{12})\)	None	None	\(0\)	\(0\)	\(6\)	\(0\)		\(q-\zeta_{12}^{3}q^{3}+(1+\zeta_{12})q^{5}+(-\zeta_{12}^{2}+\cdots)q^{7}+\cdots\)
144.2.u.a	\(88\)	\(1.150\)		None	None	\(-6\)	\(-4\)	\(-6\)	\(-4\)
144.2.x.a	\(4\)	\(1.150\)	\(\Q(\zeta_{12})\)	None	None	\(-4\)	\(0\)	\(-4\)	\(12\)		\(q+(-1-\zeta_{12}^{3})q^{2}+(2\zeta_{12}-\zeta_{12}^{3})q^{3}+\cdots\)
144.2.x.b	\(4\)	\(1.150\)	\(\Q(\zeta_{12})\)	None	None	\(-2\)	\(-6\)	\(-8\)	\(-6\)		\(q+(\zeta_{12}-\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+(-2+\zeta_{12}^{2}+\cdots)q^{3}+\cdots\)
144.2.x.c	\(4\)	\(1.150\)	\(\Q(\zeta_{12})\)	None	None	\(-2\)	\(0\)	\(4\)	\(6\)		\(q+(\zeta_{12}-\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+(\zeta_{12}+\zeta_{12}^{3})q^{3}+\cdots\)
144.2.x.d	\(4\)	\(1.150\)	\(\Q(\zeta_{12})\)	None	None	\(2\)	\(0\)	\(2\)	\(-12\)		\(q+(1+\zeta_{12}-\zeta_{12}^{2})q^{2}+(-1+2\zeta_{12}^{2}+\cdots)q^{3}+\cdots\)
144.2.x.e	\(72\)	\(1.150\)		None	None	\(4\)	\(2\)	\(4\)	\(0\)
144.3.e.a	\(2\)	\(3.924\)	\(\Q(\sqrt{-2}) \)	None	None	\(0\)	\(0\)	\(0\)	\(-24\)		\(q+5\beta q^{5}-12q^{7}+4\beta q^{11}-8q^{13}+\cdots\)
144.3.e.b	\(2\)	\(3.924\)	\(\Q(\sqrt{-2}) \)	None	None	\(0\)	\(0\)	\(0\)	\(8\)		\(q+\beta q^{5}+4q^{7}+4\beta q^{11}+8q^{13}+3\beta q^{17}+\cdots\)
144.3.g.a	\(1\)	\(3.924\)	\(\Q\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(6\)	\(0\)		\(q+6q^{5}+10q^{13}+30q^{17}+11q^{25}+\cdots\)
144.3.g.b	\(2\)	\(3.924\)	\(\Q(\sqrt{-3}) \)	None	None	\(0\)	\(0\)	\(-12\)	\(0\)		\(q-6q^{5}-\zeta_{6}q^{7}-3\zeta_{6}q^{11}-14q^{13}+\cdots\)
144.3.g.c	\(2\)	\(3.924\)	\(\Q(\sqrt{-3}) \)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q-\zeta_{6}q^{7}+22q^{13}-2\zeta_{6}q^{19}-5^{2}q^{25}+\cdots\)
144.3.j.a	\(32\)	\(3.924\)		None	None	\(0\)	\(0\)	\(0\)	\(0\)
144.3.m.a	\(6\)	\(3.924\)	6.0.399424.1	None	None	\(2\)	\(0\)	\(2\)	\(-4\)		\(q+\beta _{3}q^{2}+(-1-\beta _{1}+\beta _{4}-\beta _{5})q^{4}+\cdots\)
144.3.m.b	\(16\)	\(3.924\)	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q-\beta _{4}q^{2}+(-1-\beta _{2})q^{4}+\beta _{8}q^{5}+(\beta _{11}+\cdots)q^{7}+\cdots\)
144.3.m.c	\(16\)	\(3.924\)	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q-\beta _{2}q^{2}+(1-\beta _{1})q^{4}+(-\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
144.3.o.a	\(8\)	\(3.924\)	8.0.856615824.2	None	None	\(0\)	\(-3\)	\(3\)	\(3\)		\(q+(1-\beta _{1}+\beta _{2}+\beta _{3})q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
144.3.o.b	\(8\)	\(3.924\)	8.0.121550625.1	None	None	\(0\)	\(0\)	\(-6\)	\(0\)		\(q+(\beta _{2}+\beta _{5})q^{3}+(-1-\beta _{1}-\beta _{7})q^{5}+\cdots\)
144.3.o.c	\(8\)	\(3.924\)	8.0.856615824.2	None	None	\(0\)	\(3\)	\(3\)	\(-3\)		\(q+(-\beta _{3}+\beta _{4})q^{3}+(1-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{5}+\cdots\)
144.3.q.a	\(2\)	\(3.924\)	\(\Q(\sqrt{-3}) \)	None	None	\(0\)	\(3\)	\(6\)	\(2\)		\(q+(3-3\zeta_{6})q^{3}+(4-2\zeta_{6})q^{5}+(2-2\zeta_{6})q^{7}+\cdots\)
144.3.q.b	\(4\)	\(3.924\)	\(\Q(\sqrt{-3}, \sqrt{-11})\)	None	None	\(0\)	\(-3\)	\(9\)	\(1\)		\(q+(-1+\beta _{3})q^{3}+(4-\beta _{1}+2\beta _{2}-\beta _{3})q^{5}+\cdots\)
144.3.q.c	\(4\)	\(3.924\)	\(\Q(\sqrt{-2}, \sqrt{-3})\)	None	None	\(0\)	\(0\)	\(-18\)	\(-2\)		\(q+(1-2\beta _{1}-\beta _{3})q^{3}+(-3-3\beta _{1})q^{5}+\cdots\)
144.3.q.d	\(4\)	\(3.924\)	\(\Q(\sqrt{-2}, \sqrt{-3})\)	None	None	\(0\)	\(12\)	\(6\)	\(6\)		\(q+3q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+(\beta _{1}+3\beta _{2}+\cdots)q^{7}+\cdots\)
144.3.q.e	\(8\)	\(3.924\)	8.0.\(\cdots\).9	None	None	\(0\)	\(-10\)	\(-6\)	\(-6\)		\(q+(-1+\beta _{2}-\beta _{3})q^{3}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
144.3.v.a	\(184\)	\(3.924\)		None	None	\(-2\)	\(-4\)	\(-2\)	\(-4\)
144.3.w.a	\(184\)	\(3.924\)		None	None	\(-6\)	\(-4\)	\(-6\)	\(0\)
144.4.a.a	\(1\)	\(8.496\)	\(\Q\)	None	None	\(0\)	\(0\)	\(-16\)	\(12\)	\(+\)	\(q-2^{4}q^{5}+12q^{7}+2^{6}q^{11}+58q^{13}+\cdots\)
144.4.a.b	\(1\)	\(8.496\)	\(\Q\)	None	None	\(0\)	\(0\)	\(-14\)	\(24\)	\(-\)	\(q-14q^{5}+24q^{7}-28q^{11}-74q^{13}+\cdots\)
144.4.a.c	\(1\)	\(8.496\)	\(\Q\)	None	None	\(0\)	\(0\)	\(-6\)	\(16\)	\(+\)	\(q-6q^{5}+2^{4}q^{7}+12q^{11}+38q^{13}+\cdots\)
144.4.a.d	\(1\)	\(8.496\)	\(\Q\)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(0\)	\(0\)	\(-20\)	\(-\)	\(q-20q^{7}-70q^{13}-56q^{19}-5^{3}q^{25}+\cdots\)
144.4.a.e	\(1\)	\(8.496\)	\(\Q\)	None	None	\(0\)	\(0\)	\(2\)	\(-24\)	\(-\)	\(q+2q^{5}-24q^{7}-44q^{11}+22q^{13}+\cdots\)
144.4.a.f	\(1\)	\(8.496\)	\(\Q\)	None	None	\(0\)	\(0\)	\(16\)	\(12\)	\(+\)	\(q+2^{4}q^{5}+12q^{7}-2^{6}q^{11}+58q^{13}+\cdots\)
144.4.a.g	\(1\)	\(8.496\)	\(\Q\)	None	None	\(0\)	\(0\)	\(18\)	\(-8\)	\(+\)	\(q+18q^{5}-8q^{7}+6^{2}q^{11}-10q^{13}+\cdots\)
144.4.c.a	\(2\)	\(8.496\)	\(\Q(\sqrt{-2}) \)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+\beta q^{5}-92q^{13}+11\beta q^{17}-37q^{25}+\cdots\)

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L-functions

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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.