LMFDB - Rational L-function search results

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Results (1-50 of 91 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
4-720e2-1.1-c1e2-0-0	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.359922$	Modular form 720.2.f.c
4-720e2-1.1-c1e2-0-1	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.438429$	Elliptic curve 2.0.4.1-32400.1-CMb Elliptic curve 2.0.4.1-32400.3-CMb Modular form 720.2.x.a
4-720e2-1.1-c1e2-0-10	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.611222$	Elliptic curve 2.2.40.1-324.2-i Elliptic curve 2.2.40.1-324.3-i Hilbert modular form 2.2.40.1-324.2-i Hilbert modular form 2.2.40.1-324.3-i
4-720e2-1.1-c1e2-0-11	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.612254$	Elliptic curve 2.2.24.1-900.2-i Elliptic curve 2.2.24.1-900.3-i Hilbert modular form 2.2.24.1-900.2-i Hilbert modular form 2.2.24.1-900.3-i
4-720e2-1.1-c1e2-0-12	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.624507$	Elliptic curve 2.2.24.1-900.2-a Elliptic curve 2.2.24.1-900.3-a Hilbert modular form 2.2.24.1-900.2-a Hilbert modular form 2.2.24.1-900.3-a
4-720e2-1.1-c1e2-0-13	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.635453$	Modular form 720.2.z.a
4-720e2-1.1-c1e2-0-14	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.655646$	Elliptic curve 2.2.12.1-3600.1-h Elliptic curve 2.2.12.1-3600.1-n Hilbert modular form 2.2.12.1-3600.1-h Hilbert modular form 2.2.12.1-3600.1-n
4-720e2-1.1-c1e2-0-15	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.684670$	Elliptic curve 2.2.40.1-324.4-c Elliptic curve 2.2.40.1-324.5-c Hilbert modular form 2.2.40.1-324.4-c Hilbert modular form 2.2.40.1-324.5-c
4-720e2-1.1-c1e2-0-16	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.693056$	Elliptic curve 2.2.24.1-900.1-a Elliptic curve 2.2.24.1-900.1-c Hilbert modular form 2.2.24.1-900.1-a Hilbert modular form 2.2.24.1-900.1-c
4-720e2-1.1-c1e2-0-17	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.695039$	Elliptic curve 2.2.40.1-324.2-e Elliptic curve 2.2.40.1-324.3-e Hilbert modular form 2.2.40.1-324.2-e Hilbert modular form 2.2.40.1-324.3-e
4-720e2-1.1-c1e2-0-18	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.704517$	Elliptic curve 2.2.24.1-900.1-d Elliptic curve 2.2.24.1-900.1-f Hilbert modular form 2.2.24.1-900.1-d Hilbert modular form 2.2.24.1-900.1-f
4-720e2-1.1-c1e2-0-19	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.705827$	Modular form 720.2.f.d
4-720e2-1.1-c1e2-0-2	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.473562$	Elliptic curve 2.2.24.1-900.2-n Elliptic curve 2.2.24.1-900.3-n Hilbert modular form 2.2.24.1-900.2-n Hilbert modular form 2.2.24.1-900.3-n
4-720e2-1.1-c1e2-0-20	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.707240$	Elliptic curve 2.2.40.1-324.2-f Elliptic curve 2.2.40.1-324.3-f Hilbert modular form 2.2.40.1-324.2-f Hilbert modular form 2.2.40.1-324.3-f
4-720e2-1.1-c1e2-0-21	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.745921$	Elliptic curve 2.2.40.1-324.2-j Elliptic curve 2.2.40.1-324.3-j Hilbert modular form 2.2.40.1-324.2-j Hilbert modular form 2.2.40.1-324.3-j
4-720e2-1.1-c1e2-0-22	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.751782$	Bianchi modular form 2.0.4.1-32400.1-d Bianchi modular form 2.0.4.1-32400.3-d Elliptic curve 2.0.4.1-32400.1-d Elliptic curve 2.0.4.1-32400.3-d
4-720e2-1.1-c1e2-0-23	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.758648$	Elliptic curve 2.2.40.1-324.2-a Elliptic curve 2.2.40.1-324.3-a Hilbert modular form 2.2.40.1-324.2-a Hilbert modular form 2.2.40.1-324.3-a
4-720e2-1.1-c1e2-0-24	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.781034$	Bianchi modular form 2.0.3.1-57600.1-b Bianchi modular form 2.0.3.1-57600.1-q Elliptic curve 2.0.3.1-57600.1-b Elliptic curve 2.0.3.1-57600.1-q Elliptic curve 2.2.12.1-3600.1-c Elliptic curve 2.2.12.1-3600.1-k Hilbert modular form 2.2.12.1-3600.1-c Hilbert modular form 2.2.12.1-3600.1-k
4-720e2-1.1-c1e2-0-25	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.783704$	Elliptic curve 2.2.24.1-900.1-i Elliptic curve 2.2.24.1-900.1-l Hilbert modular form 2.2.24.1-900.1-i Hilbert modular form 2.2.24.1-900.1-l
4-720e2-1.1-c1e2-0-26	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.786796$	Elliptic curve 2.2.24.1-900.2-l Elliptic curve 2.2.24.1-900.3-l Hilbert modular form 2.2.24.1-900.2-l Hilbert modular form 2.2.24.1-900.3-l
4-720e2-1.1-c1e2-0-27	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.789971$	Elliptic curve 2.2.24.1-900.2-k Elliptic curve 2.2.24.1-900.3-k Hilbert modular form 2.2.24.1-900.2-k Hilbert modular form 2.2.24.1-900.3-k
4-720e2-1.1-c1e2-0-28	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.811463$	Elliptic curve 2.2.24.1-900.1-b Elliptic curve 2.2.24.1-900.1-j Hilbert modular form 2.2.24.1-900.1-b Hilbert modular form 2.2.24.1-900.1-j
4-720e2-1.1-c1e2-0-29	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.841826$	Modular form 720.2.z.d
4-720e2-1.1-c1e2-0-3	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.475400$	Elliptic curve 2.0.4.1-32400.1-CMc Elliptic curve 2.0.4.1-32400.3-CMc Modular form 720.2.x.b
4-720e2-1.1-c1e2-0-30	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.844561$	Bianchi modular form 2.0.4.1-32400.2-c Bianchi modular form 2.0.4.1-32400.2-d Elliptic curve 2.0.4.1-32400.2-c Elliptic curve 2.0.4.1-32400.2-d
4-720e2-1.1-c1e2-0-31	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.877347$	Bianchi modular form 2.0.3.1-57600.1-c Bianchi modular form 2.0.3.1-57600.1-r Elliptic curve 2.0.3.1-57600.1-c Elliptic curve 2.0.3.1-57600.1-r Elliptic curve 2.2.12.1-3600.1-a Elliptic curve 2.2.12.1-3600.1-f Hilbert modular form 2.2.12.1-3600.1-a Hilbert modular form 2.2.12.1-3600.1-f
4-720e2-1.1-c1e2-0-32	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.886081$	Modular form 720.2.q.c
4-720e2-1.1-c1e2-0-33	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.891834$	Elliptic curve 2.2.12.1-3600.1-b Elliptic curve 2.2.12.1-3600.1-e Hilbert modular form 2.2.12.1-3600.1-b Hilbert modular form 2.2.12.1-3600.1-e
4-720e2-1.1-c1e2-0-34	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.905128$	Modular form 720.2.f.b
4-720e2-1.1-c1e2-0-35	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.910187$	Elliptic curve 2.2.24.1-900.2-c Elliptic curve 2.2.24.1-900.3-c Hilbert modular form 2.2.24.1-900.2-c Hilbert modular form 2.2.24.1-900.3-c
4-720e2-1.1-c1e2-0-36	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.935267$	Elliptic curve 2.0.4.1-32400.1-CMa Elliptic curve 2.0.4.1-32400.3-CMa Modular form 720.2.x.c
4-720e2-1.1-c1e2-0-37	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.936736$	Elliptic curve 2.2.40.1-324.2-b Elliptic curve 2.2.40.1-324.3-b Hilbert modular form 2.2.40.1-324.2-b Hilbert modular form 2.2.40.1-324.3-b
4-720e2-1.1-c1e2-0-38	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.945009$	Elliptic curve 2.2.24.1-900.2-b Elliptic curve 2.2.24.1-900.3-b Hilbert modular form 2.2.24.1-900.2-b Hilbert modular form 2.2.24.1-900.3-b
4-720e2-1.1-c1e2-0-39	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.946333$	Modular form 720.2.bm.b
4-720e2-1.1-c1e2-0-4	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.500505$	Bianchi modular form 2.0.3.1-57600.1-h Bianchi modular form 2.0.3.1-57600.1-i Elliptic curve 2.0.3.1-57600.1-h Elliptic curve 2.0.3.1-57600.1-i Elliptic curve 2.2.12.1-3600.1-l Elliptic curve 2.2.12.1-3600.1-p Hilbert modular form 2.2.12.1-3600.1-l Hilbert modular form 2.2.12.1-3600.1-p
4-720e2-1.1-c1e2-0-40	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.955975$	Modular form 720.2.z.b
4-720e2-1.1-c1e2-0-41	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.967458$	Modular form 720.2.bd.b
4-720e2-1.1-c1e2-0-42	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.977723$	Modular form 720.2.q.e
4-720e2-1.1-c1e2-0-43	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.980748$	Bianchi modular form 2.0.3.1-57600.1-n Bianchi modular form 2.0.3.1-57600.1-o Elliptic curve 2.0.3.1-57600.1-n Elliptic curve 2.0.3.1-57600.1-o
4-720e2-1.1-c1e2-0-44	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.994637$	Bianchi modular form 2.0.8.1-8100.3-b Bianchi modular form 2.0.8.1-8100.3-c Elliptic curve 2.0.8.1-8100.3-b Elliptic curve 2.0.8.1-8100.3-c
4-720e2-1.1-c1e2-0-45	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$1.00139$	Modular form 720.2.q.b
4-720e2-1.1-c1e2-0-46	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.04990$	Elliptic curve 2.2.40.1-324.4-f Elliptic curve 2.2.40.1-324.5-f Hilbert modular form 2.2.40.1-324.4-f Hilbert modular form 2.2.40.1-324.5-f
4-720e2-1.1-c1e2-0-47	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.06020$	Bianchi modular form 2.0.4.1-32400.1-a Bianchi modular form 2.0.4.1-32400.3-a Elliptic curve 2.0.4.1-32400.1-a Elliptic curve 2.0.4.1-32400.3-a
4-720e2-1.1-c1e2-0-48	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$-1$	$1$	$1.06503$	Bianchi modular form 2.0.3.1-57600.1-d Elliptic curve 2.0.3.1-57600.1-d
4-720e2-1.1-c1e2-0-49	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.07386$	Elliptic curve 2.2.24.1-900.2-m Elliptic curve 2.2.24.1-900.3-m Hilbert modular form 2.2.24.1-900.2-m Hilbert modular form 2.2.24.1-900.3-m
4-720e2-1.1-c1e2-0-5	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.533791$	Elliptic curve 2.2.40.1-324.4-e Elliptic curve 2.2.40.1-324.5-e Hilbert modular form 2.2.40.1-324.4-e Hilbert modular form 2.2.40.1-324.5-e
4-720e2-1.1-c1e2-0-50	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$1.09800$	Modular form 720.2.f.f
4-720e2-1.1-c1e2-0-51	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$1.13579$	Modular form 720.2.z.c
4-720e2-1.1-c1e2-0-52	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$1.13670$	Modular form 720.2.f.g
4-720e2-1.1-c1e2-0-53	$2.39$	$33.0$	$4$	$2^{8} \cdot 3^{4} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$1.13874$	Modular form 720.2.q.d

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