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Results (1-50 of 126 matches)

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$L(s) = \prod_p F_p(p^{-s})^{-1}$
Label Origin \(F_{ 2 }(T)\) \(F_{ 3 }(T)\) \(F_{ 5 }(T)\) \(F_{ 7 }(T)\)
4-91e2-1.1-c1e2-0-5 Modular form 91.2.g.a $1 + T - T^{2} + 2 T^{3} + 4 T^{4}$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1 + 3 T + 4 T^{2} + 15 T^{3} + 25 T^{4}$ $1 + 5 T + 7 T^{2}$
4-8788-1.1-c1e2-0-0 Elliptic curve 2.2.13.1-52.1-b Hilbert modular form 2.2.13.1-52.1-b $( 1 - T )( 1 + T )$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - T + 5 T^{2} )( 1 + T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )( 1 + T + 7 T^{2} )$
4-21632-1.1-c1e2-0-1 Bianchi modular form 2.0.8.1-338.1-b Elliptic curve 2.0.8.1-338.1-b $1 - T$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - T + 5 T^{2} )( 1 + T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )( 1 + T + 7 T^{2} )$
4-205e2-1.1-c1e2-0-6 Modular form 205.2.a.d $1 + T + T^{2} + 2 T^{3} + 4 T^{4}$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - T )^{2}$ $1 + 3 T + 13 T^{2} + 21 T^{3} + 49 T^{4}$
4-37e3-1.1-c1e2-0-2 Elliptic curve 2.2.37.1-37.1-b Hilbert modular form 2.2.37.1-37.1-b $( 1 - 2 T + 2 T^{2} )( 1 + 2 T + 2 T^{2} )$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - 2 T + 5 T^{2} )( 1 + 2 T + 5 T^{2} )$ $( 1 + T + 7 T^{2} )^{2}$
4-61952-1.1-c1e2-0-0 Bianchi modular form 2.0.8.1-968.2-a Elliptic curve 2.0.8.1-968.2-a $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$ $( 1 - 2 T + 7 T^{2} )( 1 + 2 T + 7 T^{2} )$
4-65219-1.1-c1e2-0-1 Bianchi modular form 2.0.11.1-539.1-a Elliptic curve 2.0.11.1-539.1-a $( 1 + 2 T^{2} )^{2}$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 + T + 5 T^{2} )^{2}$ $( 1 - T )( 1 + T )$
4-76388-1.1-c1e2-0-0 Elliptic curve 2.2.13.1-452.1-b Elliptic curve 2.2.13.1-452.2-b Hilbert modular form 2.2.13.1-452.1-b Hilbert modular form 2.2.13.1-452.2-b $( 1 - T )( 1 + T )$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1 - 3 T^{2} + 25 T^{4}$ $( 1 - 5 T + 7 T^{2} )( 1 + 5 T + 7 T^{2} )$
4-286e2-1.1-c1e2-0-2 Bianchi modular form 2.0.11.1-676.1-a Elliptic curve 2.0.11.1-676.1-a $( 1 - T )( 1 + T )$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 + T + 5 T^{2} )^{2}$ $( 1 - T + 7 T^{2} )( 1 + T + 7 T^{2} )$
4-44e3-1.1-c1e2-0-2 Bianchi modular form 2.0.11.1-704.1-a Elliptic curve 2.0.11.1-704.1-a $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 + 3 T + 5 T^{2} )^{2}$ $( 1 - 2 T + 7 T^{2} )( 1 + 2 T + 7 T^{2} )$
4-296e2-1.1-c1e2-0-2 Bianchi modular form 2.0.8.1-1369.1-a Elliptic curve 2.0.8.1-1369.1-a $1 + 2 T + 2 T^{2}$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - 2 T + 5 T^{2} )( 1 + 2 T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )( 1 + T + 7 T^{2} )$
4-94336-1.1-c1e2-0-3 Bianchi modular form 2.0.8.1-1474.2-a Bianchi modular form 2.0.8.1-1474.3-a Elliptic curve 2.0.8.1-1474.2-a Elliptic curve 2.0.8.1-1474.3-a $1 + T$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1 + 8 T^{2} + 25 T^{4}$ $( 1 - 5 T + 7 T^{2} )( 1 + 5 T + 7 T^{2} )$
4-102704-1.1-c1e2-0-0 Elliptic curve 2.2.28.1-131.1-d Elliptic curve 2.2.28.1-131.2-d Hilbert modular form 2.2.28.1-131.1-d Hilbert modular form 2.2.28.1-131.2-d $1 + T + 2 T^{2}$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1 - T^{2} + 25 T^{4}$ $1 + 7 T^{2}$
4-107648-1.1-c1e2-0-5 Bianchi modular form 2.0.8.1-1682.1-a Elliptic curve 2.0.8.1-1682.1-a $1 + T$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$ $( 1 - 2 T + 7 T^{2} )( 1 + 2 T + 7 T^{2} )$
4-338e2-1.1-c1e2-0-3 Elliptic curve 2.2.13.1-676.1-a Hilbert modular form 2.2.13.1-676.1-a Modular form 338.2.b.a $1 + T^{2}$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1 - 9 T^{2} + 25 T^{4}$ $1 - 13 T^{2} + 49 T^{4}$
4-368e2-1.1-c1e2-0-3 Bianchi modular form 2.0.8.1-2116.1-a Elliptic curve 2.0.8.1-2116.1-a $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - 2 T + 5 T^{2} )( 1 + 2 T + 5 T^{2} )$ $( 1 - 4 T + 7 T^{2} )( 1 + 4 T + 7 T^{2} )$
4-407e2-1.1-c1e2-0-1 Bianchi modular form 2.0.11.1-1369.2-a Elliptic curve 2.0.11.1-1369.2-a $( 1 - 2 T + 2 T^{2} )( 1 + 2 T + 2 T^{2} )$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 + 2 T + 5 T^{2} )^{2}$ $( 1 - T + 7 T^{2} )( 1 + T + 7 T^{2} )$
4-416e2-1.1-c1e2-0-23 Elliptic curve 2.2.13.1-1024.1-j Hilbert modular form 2.2.13.1-1024.1-j Modular form 416.2.f.a $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1 - T^{2} + 25 T^{4}$ $1 - 13 T^{2} + 49 T^{4}$
4-424e2-1.1-c1e2-0-9 Bianchi modular form 2.0.8.1-2809.1-a Elliptic curve 2.0.8.1-2809.1-a $1 + T + 2 T^{2}$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 + 5 T^{2} )^{2}$ $( 1 - 4 T + 7 T^{2} )( 1 + 4 T + 7 T^{2} )$
4-464e2-1.1-c1e2-0-5 Bianchi modular form 2.0.8.1-3364.1-a Elliptic curve 2.0.8.1-3364.1-a $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$ $( 1 - 4 T + 7 T^{2} )( 1 + 4 T + 7 T^{2} )$
4-481e2-1.1-c1e2-0-1 Elliptic curve 2.2.13.1-1369.1-b Hilbert modular form 2.2.13.1-1369.1-b $( 1 - 2 T + 2 T^{2} )( 1 + 2 T + 2 T^{2} )$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - 2 T + 5 T^{2} )( 1 + 2 T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )( 1 + T + 7 T^{2} )$
4-247808-1.1-c1e2-0-7 Bianchi modular form 2.0.8.1-3872.2-a Elliptic curve 2.0.8.1-3872.2-a $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - T + 5 T^{2} )( 1 + T + 5 T^{2} )$ $( 1 + 7 T^{2} )^{2}$
4-264316-1.1-c1e2-0-8 Elliptic curve 2.2.13.1-1564.2-c Elliptic curve 2.2.13.1-1564.3-c Hilbert modular form 2.2.13.1-1564.2-c Hilbert modular form 2.2.13.1-1564.3-c $1 + T^{2}$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - T + 5 T^{2} )( 1 + T + 5 T^{2} )$ $1 - 8 T^{2} + 49 T^{4}$
4-264992-1.1-c1e2-0-6 Elliptic curve 2.2.28.1-338.1-c Hilbert modular form 2.2.28.1-338.1-c $1 - T$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - T + 5 T^{2} )( 1 + T + 5 T^{2} )$ $1 - T + 7 T^{2}$
4-288800-1.1-c1e2-0-2 Elliptic curve 2.2.76.1-50.2-n Elliptic curve 2.2.76.1-50.3-n Hilbert modular form 2.2.76.1-50.2-n Hilbert modular form 2.2.76.1-50.3-n $1 - T$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1 + 2 T + 5 T^{2}$ $1 - 5 T^{2} + 49 T^{4}$
4-307328-1.1-c1e2-0-29 Elliptic curve 2.2.28.1-392.1-l Hilbert modular form 2.2.28.1-392.1-l $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - T + 5 T^{2} )( 1 + T + 5 T^{2} )$ $1$
4-320000-1.1-c1e2-0-7 Elliptic curve 2.2.40.1-200.1-b Hilbert modular form 2.2.40.1-200.1-b $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1$ $( 1 - 2 T + 7 T^{2} )( 1 + 2 T + 7 T^{2} )$
4-320000-1.1-c1e2-0-8 Bianchi modular form 2.0.8.1-5000.1-a Elliptic curve 2.0.8.1-5000.1-a $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1$ $( 1 - 2 T + 7 T^{2} )( 1 + 2 T + 7 T^{2} )$
4-583e2-1.1-c1e2-0-3 Bianchi modular form 2.0.11.1-2809.2-a Elliptic curve 2.0.11.1-2809.2-a $( 1 - T + 2 T^{2} )( 1 + T + 2 T^{2} )$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 + 5 T^{2} )^{2}$ $( 1 - 4 T + 7 T^{2} )( 1 + 4 T + 7 T^{2} )$
4-605e2-1.1-c1e2-0-4 Bianchi modular form 2.0.11.1-3025.2-a Elliptic curve 2.0.11.1-3025.2-a $( 1 - T + 2 T^{2} )( 1 + T + 2 T^{2} )$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - T )^{2}$ $( 1 - 3 T + 7 T^{2} )( 1 + 3 T + 7 T^{2} )$
4-614e2-1.1-c1e2-0-0 Modular form 614.2.c.a $( 1 - T )^{2}$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1 + 4 T + 11 T^{2} + 20 T^{3} + 25 T^{4}$ $1 - 7 T^{2} + 49 T^{4}$
4-616e2-1.1-c1e2-0-29 Bianchi modular form 2.0.8.1-5929.2-a Elliptic curve 2.0.8.1-5929.2-a $1 + 2 T^{2}$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - T + 5 T^{2} )( 1 + T + 5 T^{2} )$ $( 1 - T )( 1 + T )$
4-638e2-1.1-c1e2-0-0 Bianchi modular form 2.0.11.1-3364.1-a Elliptic curve 2.0.11.1-3364.1-a $( 1 - T )( 1 + T )$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 + 3 T + 5 T^{2} )^{2}$ $( 1 - 2 T + 7 T^{2} )( 1 + 2 T + 7 T^{2} )$
4-665e2-1.1-c1e2-0-12 Modular form 665.2.k.a $1 + T - T^{2} + 2 T^{3} + 4 T^{4}$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1 + T + T^{2}$ $1 - 4 T + 7 T^{2}$
4-670e2-1.1-c1e2-0-2 Modular form 670.2.e.a $1 + T + T^{2}$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 + T )^{2}$ $1 - 2 T - 3 T^{2} - 14 T^{3} + 49 T^{4}$
4-670e2-1.1-c1e2-0-3 Modular form 670.2.e.b $1 + T + T^{2}$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - T )^{2}$ $( 1 - T + 7 T^{2} )( 1 + 5 T + 7 T^{2} )$
4-730e2-1.1-c1e2-0-1 Elliptic curve 2.2.73.1-100.1-c Hilbert modular form 2.2.73.1-100.1-c Modular form 730.2.d.a $( 1 + T )^{2}$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1 + T^{2}$ $1 - 13 T^{2} + 49 T^{4}$
4-540800-1.1-c1e2-0-27 Elliptic curve 2.2.40.1-338.1-g Hilbert modular form 2.2.40.1-338.1-g $1 - T$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1 + T + 5 T^{2}$ $( 1 - T + 7 T^{2} )( 1 + T + 7 T^{2} )$
4-736e2-1.1-c1e2-0-3 Bianchi modular form 2.0.8.1-8464.1-a Elliptic curve 2.0.8.1-8464.1-a $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 + 5 T^{2} )^{2}$ $( 1 - 2 T + 7 T^{2} )( 1 + 2 T + 7 T^{2} )$
4-546176-1.1-c1e2-0-2 Bianchi modular form 2.0.8.1-8534.1-b Bianchi modular form 2.0.8.1-8534.4-b Elliptic curve 2.0.8.1-8534.1-b Elliptic curve 2.0.8.1-8534.4-b $1 - T$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1 + 4 T^{2} + 25 T^{4}$ $1 + 2 T^{2} + 49 T^{4}$
4-548800-1.1-c1e2-0-4 Elliptic curve 2.2.28.1-700.1-h Hilbert modular form 2.2.28.1-700.1-h $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - T )( 1 + T )$ $1 - T$
4-580810-1.1-c1e2-0-2 Elliptic curve 2.2.241.1-10.1-c Elliptic curve 2.2.241.1-10.4-c Hilbert modular form 2.2.241.1-10.1-c Hilbert modular form 2.2.241.1-10.4-c $( 1 - T )( 1 + 2 T + 2 T^{2} )$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - T )( 1 + 4 T + 5 T^{2} )$ $1 - T^{2} + 49 T^{4}$
4-627200-1.1-c1e2-0-0 Bianchi modular form 2.0.8.1-9800.1-a Elliptic curve 2.0.8.1-9800.1-a $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - T )( 1 + T )$ $( 1 - T )( 1 + T )$
4-800e2-1.1-c1e2-0-37 Elliptic curve 2.2.40.1-400.1-l Hilbert modular form 2.2.40.1-400.1-l $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1$ $( 1 - 2 T + 7 T^{2} )( 1 + 2 T + 7 T^{2} )$
4-800e2-1.1-c1e2-0-38 Bianchi modular form 2.0.8.1-10000.1-a Elliptic curve 2.0.8.1-10000.1-a $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1$ $( 1 - 2 T + 7 T^{2} )( 1 + 2 T + 7 T^{2} )$
4-645248-1.1-c1e2-0-1 Bianchi modular form 2.0.8.1-10082.1-d Elliptic curve 2.0.8.1-10082.1-d $1 - T$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - 4 T + 5 T^{2} )( 1 + 4 T + 5 T^{2} )$ $( 1 - 3 T + 7 T^{2} )( 1 + 3 T + 7 T^{2} )$
4-88e3-1.1-c1e2-0-0 Elliptic curve 2.2.88.1-88.1-a Hilbert modular form 2.2.88.1-88.1-a $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$ $( 1 - 2 T + 7 T^{2} )^{2}$
4-88e3-1.1-c1e2-0-1 Elliptic curve 2.2.88.1-88.1-b Hilbert modular form 2.2.88.1-88.1-b $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$ $( 1 + 2 T + 7 T^{2} )^{2}$
4-832e2-1.1-c1e2-0-11 Modular form 832.2.f.a $1$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1 - T^{2} + 25 T^{4}$ $1 - 13 T^{2} + 49 T^{4}$
4-850e2-1.1-c1e2-0-5 Elliptic curve 2.2.85.1-100.1-f Hilbert modular form 2.2.85.1-100.1-f Modular form 850.2.d.a $1 + T^{2}$ $( 1 + 3 T + 3 T^{2} )^{2}$ $1$ $( 1 + 4 T + 7 T^{2} )^{2}$
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