LMFDB - Rational L-function search results

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Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

Degree	Bad $p$	Root analytic conductor	Motivic weight	Spectral label

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Results (45 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
4-345600-1.1-c1e2-0-0	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.475340$	Elliptic curve 2.2.24.1-600.2-f Elliptic curve 2.2.24.1-600.3-f Hilbert modular form 2.2.24.1-600.2-f Hilbert modular form 2.2.24.1-600.3-f
4-345600-1.1-c1e2-0-1	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.533273$	Elliptic curve 2.2.24.1-600.1-c Elliptic curve 2.2.24.1-600.1-m Hilbert modular form 2.2.24.1-600.1-c Hilbert modular form 2.2.24.1-600.1-m
4-345600-1.1-c1e2-0-10	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.872176$	Elliptic curve 2.2.24.1-600.2-b Elliptic curve 2.2.24.1-600.3-b Hilbert modular form 2.2.24.1-600.2-b Hilbert modular form 2.2.24.1-600.3-b
4-345600-1.1-c1e2-0-11	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.910579$	Bianchi modular form 2.0.8.1-5400.2-b Bianchi modular form 2.0.8.1-5400.3-b Elliptic curve 2.0.8.1-5400.2-b Elliptic curve 2.0.8.1-5400.3-b
4-345600-1.1-c1e2-0-12	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$0.910745$	Elliptic curve 2.2.24.1-600.1-p Hilbert modular form 2.2.24.1-600.1-p
4-345600-1.1-c1e2-0-13	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.945527$	Elliptic curve 2.2.24.1-600.2-a Elliptic curve 2.2.24.1-600.3-a Hilbert modular form 2.2.24.1-600.2-a Hilbert modular form 2.2.24.1-600.3-a
4-345600-1.1-c1e2-0-14	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.950269$	Elliptic curve 2.2.40.1-216.1-c Elliptic curve 2.2.40.1-216.2-c Hilbert modular form 2.2.40.1-216.1-c Hilbert modular form 2.2.40.1-216.2-c
4-345600-1.1-c1e2-0-15	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$0.999872$	Elliptic curve 2.2.24.1-600.2-l Elliptic curve 2.2.24.1-600.3-l Hilbert modular form 2.2.24.1-600.2-l Hilbert modular form 2.2.24.1-600.3-l
4-345600-1.1-c1e2-0-16	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$1.03930$	Elliptic curve 2.2.12.1-2400.1-b Elliptic curve 2.2.12.1-2400.1-e Hilbert modular form 2.2.12.1-2400.1-b Hilbert modular form 2.2.12.1-2400.1-e
4-345600-1.1-c1e2-0-17	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$1.07520$	Elliptic curve 2.2.24.1-600.2-e Elliptic curve 2.2.24.1-600.3-e Hilbert modular form 2.2.24.1-600.2-e Hilbert modular form 2.2.24.1-600.3-e
4-345600-1.1-c1e2-0-18	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$-1$	$1$	$1.08177$	Elliptic curve 2.2.120.1-24.1-b Hilbert modular form 2.2.120.1-24.1-b
4-345600-1.1-c1e2-0-19	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.13616$	Elliptic curve 2.2.24.1-600.1-f Elliptic curve 2.2.24.1-600.1-k Hilbert modular form 2.2.24.1-600.1-f Hilbert modular form 2.2.24.1-600.1-k
4-345600-1.1-c1e2-0-2	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.571004$	Elliptic curve 2.2.40.1-216.1-a Elliptic curve 2.2.40.1-216.2-a Hilbert modular form 2.2.40.1-216.1-a Hilbert modular form 2.2.40.1-216.2-a
4-345600-1.1-c1e2-0-20	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$1$	$0$	$1.16849$	Elliptic curve 2.2.24.1-600.1-h Hilbert modular form 2.2.24.1-600.1-h
4-345600-1.1-c1e2-0-21	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.20983$	Bianchi modular form 2.0.8.1-5400.1-b Bianchi modular form 2.0.8.1-5400.4-b Elliptic curve 2.0.8.1-5400.1-b Elliptic curve 2.0.8.1-5400.4-b
4-345600-1.1-c1e2-0-22	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.21099$	Elliptic curve 2.2.24.1-600.2-g Elliptic curve 2.2.24.1-600.3-g Hilbert modular form 2.2.24.1-600.2-g Hilbert modular form 2.2.24.1-600.3-g
4-345600-1.1-c1e2-0-23	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.22380$	Elliptic curve 2.2.12.1-2400.1-d Elliptic curve 2.2.12.1-2400.1-f Hilbert modular form 2.2.12.1-2400.1-d Hilbert modular form 2.2.12.1-2400.1-f
4-345600-1.1-c1e2-0-24	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.23287$	Bianchi modular form 2.0.8.1-5400.1-a Bianchi modular form 2.0.8.1-5400.4-a Elliptic curve 2.0.8.1-5400.1-a Elliptic curve 2.0.8.1-5400.4-a
4-345600-1.1-c1e2-0-25	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.27489$	Elliptic curve 2.2.40.1-216.1-d Elliptic curve 2.2.40.1-216.2-d Hilbert modular form 2.2.40.1-216.1-d Hilbert modular form 2.2.40.1-216.2-d
4-345600-1.1-c1e2-0-26	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.27841$	Bianchi modular form 2.0.8.1-5400.2-a Bianchi modular form 2.0.8.1-5400.3-a Elliptic curve 2.0.8.1-5400.2-a Elliptic curve 2.0.8.1-5400.3-a
4-345600-1.1-c1e2-0-27	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.28452$	Elliptic curve 2.2.24.1-600.2-k Elliptic curve 2.2.24.1-600.3-k Hilbert modular form 2.2.24.1-600.2-k Hilbert modular form 2.2.24.1-600.3-k
4-345600-1.1-c1e2-0-28	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.30392$	Elliptic curve 2.2.24.1-600.2-p Elliptic curve 2.2.24.1-600.3-p Hilbert modular form 2.2.24.1-600.2-p Hilbert modular form 2.2.24.1-600.3-p
4-345600-1.1-c1e2-0-29	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.33943$	Elliptic curve 2.2.24.1-600.1-e Elliptic curve 2.2.24.1-600.1-i Hilbert modular form 2.2.24.1-600.1-e Hilbert modular form 2.2.24.1-600.1-i
4-345600-1.1-c1e2-0-3	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.709588$	Elliptic curve 2.2.24.1-600.2-h Elliptic curve 2.2.24.1-600.3-h Hilbert modular form 2.2.24.1-600.2-h Hilbert modular form 2.2.24.1-600.3-h
4-345600-1.1-c1e2-0-30	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$-1$	$1$	$1.36054$	Elliptic curve 2.2.24.1-600.1-o Hilbert modular form 2.2.24.1-600.1-o
4-345600-1.1-c1e2-0-31	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.37538$	Elliptic curve 2.2.24.1-600.2-c Elliptic curve 2.2.24.1-600.3-c Hilbert modular form 2.2.24.1-600.2-c Hilbert modular form 2.2.24.1-600.3-c
4-345600-1.1-c1e2-0-32	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$-1$	$1$	$1.38232$	Elliptic curve 2.2.24.1-600.1-a Hilbert modular form 2.2.24.1-600.1-a
4-345600-1.1-c1e2-0-33	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$-1$	$1$	$1.38738$	Elliptic curve 2.2.120.1-24.1-a Hilbert modular form 2.2.120.1-24.1-a
4-345600-1.1-c1e2-0-34	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.41913$	Elliptic curve 2.2.12.1-2400.1-j Elliptic curve 2.2.12.1-2400.1-l Hilbert modular form 2.2.12.1-2400.1-j Hilbert modular form 2.2.12.1-2400.1-l
4-345600-1.1-c1e2-0-35	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.42809$	Elliptic curve 2.2.24.1-600.1-g Elliptic curve 2.2.24.1-600.1-j Hilbert modular form 2.2.24.1-600.1-g Hilbert modular form 2.2.24.1-600.1-j
4-345600-1.1-c1e2-0-36	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.45127$	Elliptic curve 2.2.12.1-2400.1-a Elliptic curve 2.2.12.1-2400.1-c Hilbert modular form 2.2.12.1-2400.1-a Hilbert modular form 2.2.12.1-2400.1-c
4-345600-1.1-c1e2-0-37	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.45158$	Elliptic curve 2.2.12.1-2400.1-g Elliptic curve 2.2.12.1-2400.1-i Hilbert modular form 2.2.12.1-2400.1-g Hilbert modular form 2.2.12.1-2400.1-i
4-345600-1.1-c1e2-0-38	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.50817$	Bianchi modular form 2.0.8.1-5400.2-c Bianchi modular form 2.0.8.1-5400.3-c Elliptic curve 2.0.8.1-5400.2-c Elliptic curve 2.0.8.1-5400.3-c
4-345600-1.1-c1e2-0-39	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.59186$	Elliptic curve 2.2.24.1-600.2-n Elliptic curve 2.2.24.1-600.3-n Hilbert modular form 2.2.24.1-600.2-n Hilbert modular form 2.2.24.1-600.3-n
4-345600-1.1-c1e2-0-4	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.791708$	Elliptic curve 2.2.24.1-600.2-o Elliptic curve 2.2.24.1-600.3-o Hilbert modular form 2.2.24.1-600.2-o Hilbert modular form 2.2.24.1-600.3-o
4-345600-1.1-c1e2-0-40	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.59241$	Elliptic curve 2.2.24.1-600.2-d Elliptic curve 2.2.24.1-600.3-d Hilbert modular form 2.2.24.1-600.2-d Hilbert modular form 2.2.24.1-600.3-d
4-345600-1.1-c1e2-0-41	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$-1$	$1$	$1.64229$	Elliptic curve 2.2.120.1-24.1-d Hilbert modular form 2.2.120.1-24.1-d
4-345600-1.1-c1e2-0-42	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.64412$	Elliptic curve 2.2.40.1-216.1-b Elliptic curve 2.2.40.1-216.2-b Hilbert modular form 2.2.40.1-216.1-b Hilbert modular form 2.2.40.1-216.2-b
4-345600-1.1-c1e2-0-43	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$-1$	$1$	$1.65501$	Elliptic curve 2.2.24.1-600.2-m Elliptic curve 2.2.24.1-600.3-m Hilbert modular form 2.2.24.1-600.2-m Hilbert modular form 2.2.24.1-600.3-m
4-345600-1.1-c1e2-0-44	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$		$-1$	$1$	$1.66440$	Elliptic curve 2.2.120.1-24.1-c Hilbert modular form 2.2.120.1-24.1-c
4-345600-1.1-c1e2-0-5	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.802484$	Elliptic curve 2.2.24.1-600.2-i Elliptic curve 2.2.24.1-600.3-i Hilbert modular form 2.2.24.1-600.2-i Hilbert modular form 2.2.24.1-600.3-i
4-345600-1.1-c1e2-0-6	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.804463$	Elliptic curve 2.2.12.1-2400.1-h Elliptic curve 2.2.12.1-2400.1-k Hilbert modular form 2.2.12.1-2400.1-h Hilbert modular form 2.2.12.1-2400.1-k
4-345600-1.1-c1e2-0-7	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.806809$	Elliptic curve 2.2.24.1-600.1-d Elliptic curve 2.2.24.1-600.1-l Hilbert modular form 2.2.24.1-600.1-d Hilbert modular form 2.2.24.1-600.1-l
4-345600-1.1-c1e2-0-8	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.828960$	Elliptic curve 2.2.24.1-600.1-b Elliptic curve 2.2.24.1-600.1-n Hilbert modular form 2.2.24.1-600.1-b Hilbert modular form 2.2.24.1-600.1-n
4-345600-1.1-c1e2-0-9	$2.16$	$22.0$	$4$	$2^{9} \cdot 3^{3} \cdot 5^{2}$	1.1	$1.0, 1.0$	$1$	✓	$1$	$0$	$0.854676$	Elliptic curve 2.2.24.1-600.2-j Elliptic curve 2.2.24.1-600.3-j Hilbert modular form 2.2.24.1-600.2-j Hilbert modular form 2.2.24.1-600.3-j

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