LMFDB - L-function Euler product search

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	e.g. 3,7,19		e.g. F3=1-T,F5=1+T+5T^2

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		$L(s) = \prod_p F_p(p^{-s})^{-1}$
Label	Origin	$F_{ 2 }(T)$	$F_{ 3 }(T)$	$F_{ 5 }(T)$	$F_{ 7 }(T)$	$F_{ 11 }(T)$	$F_{ 13 }(T)$	$F_{ 17 }(T)$	$F_{ 19 }(T)$	$F_{ 23 }(T)$	$F_{ 29 }(T)$	$F_{ 31 }(T)$	$F_{ 37 }(T)$	$F_{ 41 }(T)$	$F_{ 43 }(T)$	$F_{ 47 }(T)$
4-3e6-1.1-c1e2-0-0	Elliptic curve 2.0.3.1-81.1-CMa	$( 1 + 2 T^{2} )^{2}$	$1$	$( 1 + 5 T^{2} )^{2}$	$( 1 + T + 7 T^{2} )^{2}$	$( 1 + 11 T^{2} )^{2}$	$( 1 - 5 T + 13 T^{2} )^{2}$	$( 1 + 17 T^{2} )^{2}$	$( 1 + 7 T + 19 T^{2} )^{2}$	$( 1 + 23 T^{2} )^{2}$	$( 1 + 29 T^{2} )^{2}$	$( 1 + 4 T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 + 41 T^{2} )^{2}$	$( 1 - 8 T + 43 T^{2} )^{2}$	$( 1 + 47 T^{2} )^{2}$
4-3e8-1.1-c1e2-0-1	Elliptic curve 2.0.3.1-729.1-CMa Elliptic curve 2.0.3.1-729.1-CMb Modular form 81.2.c.a	$1 - 2 T^{2} + 4 T^{4}$	$1$	$1 - 5 T^{2} + 25 T^{4}$	$( 1 - 5 T + 7 T^{2} )( 1 + 4 T + 7 T^{2} )$	$1 - 11 T^{2} + 121 T^{4}$	$( 1 - 2 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} )$	$( 1 + 17 T^{2} )^{2}$	$( 1 + 7 T + 19 T^{2} )^{2}$	$1 - 23 T^{2} + 529 T^{4}$	$1 - 29 T^{2} + 841 T^{4}$	$( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$1 - 41 T^{2} + 1681 T^{4}$	$( 1 - 5 T + 43 T^{2} )( 1 + 13 T + 43 T^{2} )$	$1 - 47 T^{2} + 2209 T^{4}$
4-108e2-1.1-c1e2-0-1	Bianchi modular form 2.0.4.1-729.1-a Elliptic curve 2.0.4.1-729.1-a Elliptic curve 2.2.12.1-81.1-a Hilbert modular form 2.2.12.1-81.1-a	$1 + 2 T^{2}$	$1$	$( 1 + 5 T^{2} )^{2}$	$( 1 - T + 7 T^{2} )( 1 + T + 7 T^{2} )$	$( 1 + 11 T^{2} )^{2}$	$( 1 - 5 T + 13 T^{2} )^{2}$	$( 1 + 17 T^{2} )^{2}$	$( 1 - 7 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} )$	$( 1 + 23 T^{2} )^{2}$	$( 1 + 29 T^{2} )^{2}$	$( 1 - 4 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 + 41 T^{2} )^{2}$	$( 1 - 8 T + 43 T^{2} )( 1 + 8 T + 43 T^{2} )$	$( 1 + 47 T^{2} )^{2}$
4-13600-1.1-c1e2-0-1	Bianchi modular form 2.0.4.1-850.1-a Bianchi modular form 2.0.4.1-850.6-a Elliptic curve 2.0.4.1-850.1-a Elliptic curve 2.0.4.1-850.6-a	$1 + T$	$1 - T^{2} + 9 T^{4}$	$1 + 5 T^{2}$	$1 + 4 T^{2} + 49 T^{4}$	$1 - 5 T^{2} + 121 T^{4}$	$( 1 - 5 T + 13 T^{2} )( 1 - 2 T + 13 T^{2} )$	$( 1 + T )( 1 + 17 T^{2} )$	$1 + 10 T^{2} + 361 T^{4}$	$1 + 22 T^{2} + 529 T^{4}$	$( 1 + 3 T + 29 T^{2} )( 1 + 9 T + 29 T^{2} )$	$( 1 - 10 T + 31 T^{2} )( 1 + 10 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 6 T + 41 T^{2} )( 1 - 3 T + 41 T^{2} )$	$1 - 26 T^{2} + 1849 T^{4}$	$1 - 71 T^{2} + 2209 T^{4}$
4-21632-1.1-c1e2-0-5	Bianchi modular form 2.0.4.1-1352.2-a Elliptic curve 2.0.4.1-1352.2-a	$1$	$( 1 - T + 3 T^{2} )( 1 + T + 3 T^{2} )$	$( 1 + T + 5 T^{2} )^{2}$	$( 1 - 5 T + 7 T^{2} )( 1 + 5 T + 7 T^{2} )$	$( 1 - 2 T + 11 T^{2} )( 1 + 2 T + 11 T^{2} )$	$( 1 + T )^{2}$	$( 1 + 3 T + 17 T^{2} )^{2}$	$( 1 - 2 T + 19 T^{2} )( 1 + 2 T + 19 T^{2} )$	$( 1 - 4 T + 23 T^{2} )( 1 + 4 T + 23 T^{2} )$	$( 1 + 6 T + 29 T^{2} )^{2}$	$( 1 - 4 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 8 T + 41 T^{2} )^{2}$	$( 1 - T + 43 T^{2} )( 1 + T + 43 T^{2} )$	$( 1 - 9 T + 47 T^{2} )( 1 + 9 T + 47 T^{2} )$
4-189e2-1.1-c1e2-0-0	Bianchi modular form 2.0.7.1-729.1-a Elliptic curve 2.0.7.1-729.1-a Elliptic curve 2.2.21.1-81.1-b Hilbert modular form 2.2.21.1-81.1-b	$( 1 + 2 T^{2} )^{2}$	$1$	$( 1 + 5 T^{2} )^{2}$	$1 + T + 7 T^{2}$	$( 1 + 11 T^{2} )^{2}$	$( 1 - 5 T + 13 T^{2} )( 1 + 5 T + 13 T^{2} )$	$( 1 + 17 T^{2} )^{2}$	$( 1 - 7 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} )$	$( 1 + 23 T^{2} )^{2}$	$( 1 + 29 T^{2} )^{2}$	$( 1 - 4 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 + 41 T^{2} )^{2}$	$( 1 - 8 T + 43 T^{2} )^{2}$	$( 1 + 47 T^{2} )^{2}$
4-41503-1.1-c1e2-0-0	Bianchi modular form 2.0.7.1-847.2-b Elliptic curve 2.0.7.1-847.2-b	$( 1 + 2 T^{2} )^{2}$	$( 1 - T + 3 T^{2} )( 1 + T + 3 T^{2} )$	$( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$	$1 - T$	$( 1 + T )^{2}$	$( 1 - 4 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} )$	$( 1 - 6 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} )$	$( 1 - 2 T + 19 T^{2} )( 1 + 2 T + 19 T^{2} )$	$( 1 - 3 T + 23 T^{2} )^{2}$	$( 1 + 6 T + 29 T^{2} )^{2}$	$( 1 - 5 T + 31 T^{2} )( 1 + 5 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 6 T + 41 T^{2} )( 1 + 6 T + 41 T^{2} )$	$( 1 - 8 T + 43 T^{2} )^{2}$	$( 1 + 47 T^{2} )^{2}$
4-231e2-1.1-c1e2-0-0	Bianchi modular form 2.0.3.1-5929.2-b Elliptic curve 2.0.3.1-5929.2-b	$( 1 + 2 T^{2} )^{2}$	$1 - T + 3 T^{2}$	$( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$	$( 1 - T )^{2}$	$( 1 - T )( 1 + T )$	$( 1 + 4 T + 13 T^{2} )^{2}$	$( 1 - 6 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} )$	$( 1 - 2 T + 19 T^{2} )^{2}$	$( 1 - 3 T + 23 T^{2} )( 1 + 3 T + 23 T^{2} )$	$( 1 - 6 T + 29 T^{2} )( 1 + 6 T + 29 T^{2} )$	$( 1 - 5 T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 6 T + 41 T^{2} )( 1 + 6 T + 41 T^{2} )$	$( 1 - 8 T + 43 T^{2} )^{2}$	$( 1 + 47 T^{2} )^{2}$
4-65219-1.1-c1e2-0-0	Bianchi modular form 2.0.11.1-539.1-b Elliptic curve 2.0.11.1-539.1-b	$( 1 + 2 T^{2} )^{2}$	$( 1 - T + 3 T^{2} )^{2}$	$( 1 - 3 T + 5 T^{2} )^{2}$	$( 1 - T )( 1 + T )$	$1 + T$	$( 1 - 4 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} )$	$( 1 - 6 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} )$	$( 1 - 2 T + 19 T^{2} )( 1 + 2 T + 19 T^{2} )$	$( 1 - 3 T + 23 T^{2} )^{2}$	$( 1 - 6 T + 29 T^{2} )( 1 + 6 T + 29 T^{2} )$	$( 1 - 5 T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 6 T + 41 T^{2} )( 1 + 6 T + 41 T^{2} )$	$( 1 - 8 T + 43 T^{2} )( 1 + 8 T + 43 T^{2} )$	$( 1 + 47 T^{2} )^{2}$
4-297e2-1.1-c1e2-0-5	Bianchi modular form 2.0.11.1-729.4-a Elliptic curve 2.0.11.1-729.4-a Elliptic curve 2.2.33.1-81.1-a Hilbert modular form 2.2.33.1-81.1-a	$( 1 + 2 T^{2} )^{2}$	$1$	$( 1 + 5 T^{2} )^{2}$	$( 1 - T + 7 T^{2} )( 1 + T + 7 T^{2} )$	$1 + 11 T^{2}$	$( 1 - 5 T + 13 T^{2} )( 1 + 5 T + 13 T^{2} )$	$( 1 + 17 T^{2} )^{2}$	$( 1 - 7 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} )$	$( 1 + 23 T^{2} )^{2}$	$( 1 + 29 T^{2} )^{2}$	$( 1 + 4 T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 + 41 T^{2} )^{2}$	$( 1 - 8 T + 43 T^{2} )( 1 + 8 T + 43 T^{2} )$	$( 1 + 47 T^{2} )^{2}$
4-308e2-1.1-c1e2-0-13	Bianchi modular form 2.0.4.1-5929.1-b Elliptic curve 2.0.4.1-5929.1-b	$1 + 2 T^{2}$	$( 1 - T + 3 T^{2} )( 1 + T + 3 T^{2} )$	$( 1 - 3 T + 5 T^{2} )^{2}$	$( 1 - T )( 1 + T )$	$( 1 - T )( 1 + T )$	$( 1 + 4 T + 13 T^{2} )^{2}$	$( 1 + 6 T + 17 T^{2} )^{2}$	$( 1 - 2 T + 19 T^{2} )( 1 + 2 T + 19 T^{2} )$	$( 1 - 3 T + 23 T^{2} )( 1 + 3 T + 23 T^{2} )$	$( 1 + 6 T + 29 T^{2} )^{2}$	$( 1 - 5 T + 31 T^{2} )( 1 + 5 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 6 T + 41 T^{2} )^{2}$	$( 1 - 8 T + 43 T^{2} )( 1 + 8 T + 43 T^{2} )$	$( 1 + 47 T^{2} )^{2}$
4-312e2-1.1-c1e2-0-24	Bianchi modular form 2.0.3.1-10816.2-a Elliptic curve 2.0.3.1-10816.2-a	$1$	$1 - T + 3 T^{2}$	$( 1 - T + 5 T^{2} )( 1 + T + 5 T^{2} )$	$( 1 - 5 T + 7 T^{2} )^{2}$	$( 1 - 2 T + 11 T^{2} )( 1 + 2 T + 11 T^{2} )$	$( 1 + T )^{2}$	$( 1 - 3 T + 17 T^{2} )( 1 + 3 T + 17 T^{2} )$	$( 1 + 2 T + 19 T^{2} )^{2}$	$( 1 - 4 T + 23 T^{2} )( 1 + 4 T + 23 T^{2} )$	$( 1 - 6 T + 29 T^{2} )( 1 + 6 T + 29 T^{2} )$	$( 1 + 4 T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 8 T + 41 T^{2} )( 1 + 8 T + 41 T^{2} )$	$( 1 + T + 43 T^{2} )^{2}$	$( 1 - 9 T + 47 T^{2} )( 1 + 9 T + 47 T^{2} )$
4-330e2-1.1-c1e2-0-13	Bianchi modular form 2.0.11.1-900.2-b Bianchi modular form 2.0.11.1-900.8-b Elliptic curve 2.0.11.1-900.2-b Elliptic curve 2.0.11.1-900.8-b Elliptic curve 2.2.33.1-100.1-b Elliptic curve 2.2.33.1-100.1-e Hilbert modular form 2.2.33.1-100.1-b Hilbert modular form 2.2.33.1-100.1-e	$( 1 - T )( 1 + T )$	$1 - T + 3 T^{2}$	$( 1 - T )( 1 + T )$	$1 - 5 T^{2} + 49 T^{4}$	$1 + 11 T^{2}$	$( 1 - 13 T^{2} )^{2}$	$( 1 - 3 T + 17 T^{2} )( 1 + 3 T + 17 T^{2} )$	$1 - 29 T^{2} + 361 T^{4}$	$( 1 + 23 T^{2} )^{2}$	$( 1 - 9 T + 29 T^{2} )( 1 + 9 T + 29 T^{2} )$	$( 1 - 5 T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 6 T + 41 T^{2} )( 1 + 6 T + 41 T^{2} )$	$1 + 58 T^{2} + 1849 T^{4}$	$( 1 - 6 T + 47 T^{2} )( 1 + 6 T + 47 T^{2} )$
4-114075-1.1-c1e2-0-4	Bianchi modular form 2.0.3.1-12675.2-a Elliptic curve 2.0.3.1-12675.2-a	$( 1 - 2 T + 2 T^{2} )( 1 + 2 T + 2 T^{2} )$	$1 + T$	$( 1 - T )( 1 + T )$	$( 1 - 3 T + 7 T^{2} )^{2}$	$( 1 - T + 11 T^{2} )( 1 + T + 11 T^{2} )$	$( 1 + T )^{2}$	$( 1 - T + 17 T^{2} )( 1 + T + 17 T^{2} )$	$( 1 + 2 T + 19 T^{2} )^{2}$	$( 1 - 3 T + 23 T^{2} )( 1 + 3 T + 23 T^{2} )$	$( 1 - 2 T + 29 T^{2} )( 1 + 2 T + 29 T^{2} )$	$( 1 + 6 T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 5 T + 41 T^{2} )( 1 + 5 T + 41 T^{2} )$	$( 1 - 4 T + 43 T^{2} )^{2}$	$( 1 - 10 T + 47 T^{2} )( 1 + 10 T + 47 T^{2} )$
4-345e2-1.1-c1e2-0-5	Bianchi modular form 2.0.3.1-13225.1-a Elliptic curve 2.0.3.1-13225.1-a	$( 1 - 2 T + 2 T^{2} )( 1 + 2 T + 2 T^{2} )$	$1 + 3 T^{2}$	$( 1 - T )( 1 + T )$	$( 1 - T + 7 T^{2} )^{2}$	$( 1 - 2 T + 11 T^{2} )( 1 + 2 T + 11 T^{2} )$	$( 1 + 2 T + 13 T^{2} )^{2}$	$( 1 - 3 T + 17 T^{2} )( 1 + 3 T + 17 T^{2} )$	$( 1 + 2 T + 19 T^{2} )^{2}$	$( 1 - T )( 1 + T )$	$( 1 - 7 T + 29 T^{2} )( 1 + 7 T + 29 T^{2} )$	$( 1 + 5 T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - T + 41 T^{2} )( 1 + T + 41 T^{2} )$	$( 1 + 43 T^{2} )^{2}$	$( 1 + 47 T^{2} )^{2}$
4-120148-1.1-c1e2-0-0	Bianchi modular form 2.0.7.1-2452.3-a Bianchi modular form 2.0.7.1-2452.4-a Elliptic curve 2.0.7.1-2452.3-a Elliptic curve 2.0.7.1-2452.4-a	$( 1 + T )^{2}$	$1 - T^{2} + 9 T^{4}$	$1 - 8 T^{2} + 25 T^{4}$	$1 + T + 7 T^{2}$	$( 1 - 6 T + 11 T^{2} )( 1 - 3 T + 11 T^{2} )$	$( 1 - 4 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} )$	$1 - 11 T^{2} + 289 T^{4}$	$1 + 25 T^{2} + 361 T^{4}$	$( 1 + 23 T^{2} )( 1 + 6 T + 23 T^{2} )$	$( 1 - 3 T + 29 T^{2} )( 1 + 9 T + 29 T^{2} )$	$1 - 8 T^{2} + 961 T^{4}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 6 T + 41 T^{2} )( 1 + 6 T + 41 T^{2} )$	$( 1 + T + 43 T^{2} )^{2}$	$1 - 77 T^{2} + 2209 T^{4}$
4-396e2-1.1-c1e2-0-30	Modular form 396.2.i.c	$1$	$1 - 3 T + 3 T^{2}$	$1 - 3 T + 4 T^{2} - 15 T^{3} + 25 T^{4}$	$1 + 2 T - 3 T^{2} + 14 T^{3} + 49 T^{4}$	$1 - T + T^{2}$	$1 - 4 T + 3 T^{2} - 52 T^{3} + 169 T^{4}$	$( 1 + 17 T^{2} )^{2}$	$( 1 + 4 T + 19 T^{2} )^{2}$	$1 - 23 T^{2} + 529 T^{4}$	$1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4}$	$1 + 5 T - 6 T^{2} + 155 T^{3} + 961 T^{4}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$1 + 12 T + 103 T^{2} + 492 T^{3} + 1681 T^{4}$	$( 1 - 5 T + 43 T^{2} )( 1 + 13 T + 43 T^{2} )$	$1 - 9 T + 34 T^{2} - 423 T^{3} + 2209 T^{4}$
4-432e2-1.1-c1e2-0-2	Elliptic curve 2.0.3.1-20736.1-CMb Elliptic curve 2.0.3.1-20736.1-CMc Elliptic curve 2.2.12.1-1296.1-e Hilbert modular form 2.2.12.1-1296.1-e Modular form 432.2.c.a	$1$	$1$	$( 1 - 5 T^{2} )^{2}$	$( 1 - T + 7 T^{2} )( 1 + T + 7 T^{2} )$	$( 1 + 11 T^{2} )^{2}$	$( 1 + 5 T + 13 T^{2} )^{2}$	$( 1 - 17 T^{2} )^{2}$	$( 1 - 7 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} )$	$( 1 + 23 T^{2} )^{2}$	$( 1 - 29 T^{2} )^{2}$	$( 1 - 4 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 41 T^{2} )^{2}$	$( 1 - 8 T + 43 T^{2} )( 1 + 8 T + 43 T^{2} )$	$( 1 + 47 T^{2} )^{2}$
4-432e2-1.1-c1e2-0-21	Elliptic curve 2.0.3.1-20736.1-CMa	$1$	$1$	$( 1 + 5 T^{2} )^{2}$	$( 1 - T + 7 T^{2} )^{2}$	$( 1 + 11 T^{2} )^{2}$	$( 1 - 5 T + 13 T^{2} )^{2}$	$( 1 + 17 T^{2} )^{2}$	$( 1 - 7 T + 19 T^{2} )^{2}$	$( 1 + 23 T^{2} )^{2}$	$( 1 + 29 T^{2} )^{2}$	$( 1 - 4 T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 + 41 T^{2} )^{2}$	$( 1 + 8 T + 43 T^{2} )^{2}$	$( 1 + 47 T^{2} )^{2}$
4-194688-1.1-c1e2-0-16	Elliptic curve 2.2.12.1-1352.1-f Hilbert modular form 2.2.12.1-1352.1-f	$1$	$1 + T + 3 T^{2}$	$( 1 - T + 5 T^{2} )( 1 + T + 5 T^{2} )$	$( 1 - 5 T + 7 T^{2} )( 1 + 5 T + 7 T^{2} )$	$( 1 - 2 T + 11 T^{2} )^{2}$	$( 1 + T )^{2}$	$( 1 - 3 T + 17 T^{2} )( 1 + 3 T + 17 T^{2} )$	$( 1 - 2 T + 19 T^{2} )( 1 + 2 T + 19 T^{2} )$	$( 1 + 4 T + 23 T^{2} )^{2}$	$( 1 - 6 T + 29 T^{2} )( 1 + 6 T + 29 T^{2} )$	$( 1 - 4 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 8 T + 41 T^{2} )( 1 + 8 T + 41 T^{2} )$	$( 1 - T + 43 T^{2} )( 1 + T + 43 T^{2} )$	$( 1 + 9 T + 47 T^{2} )^{2}$
4-194688-1.1-c1e2-0-3	Elliptic curve 2.2.12.1-1352.1-e Hilbert modular form 2.2.12.1-1352.1-e	$1$	$1 - T + 3 T^{2}$	$( 1 - T + 5 T^{2} )( 1 + T + 5 T^{2} )$	$( 1 - 5 T + 7 T^{2} )( 1 + 5 T + 7 T^{2} )$	$( 1 + 2 T + 11 T^{2} )^{2}$	$( 1 + T )^{2}$	$( 1 - 3 T + 17 T^{2} )( 1 + 3 T + 17 T^{2} )$	$( 1 - 2 T + 19 T^{2} )( 1 + 2 T + 19 T^{2} )$	$( 1 - 4 T + 23 T^{2} )^{2}$	$( 1 - 6 T + 29 T^{2} )( 1 + 6 T + 29 T^{2} )$	$( 1 - 4 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 8 T + 41 T^{2} )( 1 + 8 T + 41 T^{2} )$	$( 1 - T + 43 T^{2} )( 1 + T + 43 T^{2} )$	$( 1 - 9 T + 47 T^{2} )^{2}$
4-209696-1.1-c1e2-0-0	Bianchi modular form 2.0.4.1-13106.1-a Bianchi modular form 2.0.4.1-13106.2-a Elliptic curve 2.0.4.1-13106.1-a Elliptic curve 2.0.4.1-13106.2-a	$1 + T$	$1 - T^{2} + 9 T^{4}$	$( 1 - 3 T + 5 T^{2} )( 1 + 5 T^{2} )$	$( 1 - 7 T^{2} )^{2}$	$1 + 4 T^{2} + 121 T^{4}$	$( 1 + 4 T + 13 T^{2} )^{2}$	$( 1 - 6 T + 17 T^{2} )( 1 + 3 T + 17 T^{2} )$	$( 1 - 7 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} )$	$1 - 8 T^{2} + 529 T^{4}$	$( 1 + 29 T^{2} )( 1 + 6 T + 29 T^{2} )$	$1 - 8 T^{2} + 961 T^{4}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 3 T + 41 T^{2} )( 1 + 41 T^{2} )$	$( 1 - 8 T + 43 T^{2} )( 1 + 8 T + 43 T^{2} )$	$1 - 68 T^{2} + 2209 T^{4}$
4-460e2-1.1-c1e2-0-0	Bianchi modular form 2.0.4.1-13225.2-a Elliptic curve 2.0.4.1-13225.2-a	$1 - 2 T + 2 T^{2}$	$( 1 + 3 T^{2} )^{2}$	$( 1 + T )^{2}$	$( 1 - T + 7 T^{2} )( 1 + T + 7 T^{2} )$	$( 1 - 2 T + 11 T^{2} )( 1 + 2 T + 11 T^{2} )$	$( 1 + 2 T + 13 T^{2} )^{2}$	$( 1 - 3 T + 17 T^{2} )^{2}$	$( 1 - 2 T + 19 T^{2} )( 1 + 2 T + 19 T^{2} )$	$( 1 - T )( 1 + T )$	$( 1 - 7 T + 29 T^{2} )^{2}$	$( 1 - 5 T + 31 T^{2} )( 1 + 5 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - T + 41 T^{2} )^{2}$	$( 1 + 43 T^{2} )^{2}$	$( 1 + 47 T^{2} )^{2}$
4-216972-1.1-c1e2-0-0	Elliptic curve 2.2.21.1-492.1-b Elliptic curve 2.2.21.1-492.2-b Hilbert modular form 2.2.21.1-492.1-b Hilbert modular form 2.2.21.1-492.2-b	$( 1 - T )( 1 + T )$	$1 - T$	$( 1 + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$	$1 - 2 T + 7 T^{2}$	$1 + 4 T^{2} + 121 T^{4}$	$1 - 2 T^{2} + 169 T^{4}$	$( 1 - 3 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} )$	$1 - 5 T^{2} + 361 T^{4}$	$( 1 - 3 T + 23 T^{2} )( 1 + 3 T + 23 T^{2} )$	$( 1 - 6 T + 29 T^{2} )( 1 + 6 T + 29 T^{2} )$	$1 + 52 T^{2} + 961 T^{4}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 + T )( 1 - 3 T + 41 T^{2} )$	$( 1 - 5 T + 43 T^{2} )( 1 - 2 T + 43 T^{2} )$	$( 1 - 9 T + 47 T^{2} )( 1 + 6 T + 47 T^{2} )$
4-216972-1.1-c1e2-0-1	Elliptic curve 2.2.21.1-492.1-a Elliptic curve 2.2.21.1-492.2-a Hilbert modular form 2.2.21.1-492.1-a Hilbert modular form 2.2.21.1-492.2-a	$( 1 - T )( 1 + T )$	$1 + T$	$( 1 - 3 T + 5 T^{2} )( 1 + 5 T^{2} )$	$1 - 2 T + 7 T^{2}$	$1 + 4 T^{2} + 121 T^{4}$	$1 - 2 T^{2} + 169 T^{4}$	$( 1 - 6 T + 17 T^{2} )( 1 + 3 T + 17 T^{2} )$	$1 - 5 T^{2} + 361 T^{4}$	$( 1 - 3 T + 23 T^{2} )( 1 + 3 T + 23 T^{2} )$	$( 1 - 6 T + 29 T^{2} )( 1 + 6 T + 29 T^{2} )$	$1 + 52 T^{2} + 961 T^{4}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - T )( 1 + 3 T + 41 T^{2} )$	$( 1 - 5 T + 43 T^{2} )( 1 - 2 T + 43 T^{2} )$	$( 1 - 6 T + 47 T^{2} )( 1 + 9 T + 47 T^{2} )$
4-221949-1.1-c1e2-0-0	Bianchi modular form 2.0.3.1-24661.3-a Bianchi modular form 2.0.3.1-24661.6-a Elliptic curve 2.0.3.1-24661.3-a Elliptic curve 2.0.3.1-24661.6-a	$1 - 2 T^{2} + 4 T^{4}$	$1 + 2 T + 3 T^{2}$	$1 + 4 T^{2} + 25 T^{4}$	$( 1 - T )( 1 - 2 T + 7 T^{2} )$	$( 1 - 3 T + 11 T^{2} )( 1 + 3 T + 11 T^{2} )$	$( 1 - T )( 1 - 2 T + 13 T^{2} )$	$1 + 4 T^{2} + 289 T^{4}$	$( 1 - 5 T + 19 T^{2} )^{2}$	$1 + 4 T^{2} + 529 T^{4}$	$1 - 56 T^{2} + 841 T^{4}$	$( 1 - 2 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$1 - 2 T^{2} + 1681 T^{4}$	$( 1 - 8 T + 43 T^{2} )( 1 + 4 T + 43 T^{2} )$	$1 - 83 T^{2} + 2209 T^{4}$
4-490e2-1.1-c1e2-0-12	Bianchi modular form 2.0.7.1-4900.2-j Elliptic curve 2.0.7.1-4900.2-j	$( 1 - T )^{2}$	$( 1 - 2 T + 3 T^{2} )( 1 + 2 T + 3 T^{2} )$	$( 1 - T )( 1 + T )$	$1$	$( 1 - 3 T + 11 T^{2} )^{2}$	$( 1 - 5 T + 13 T^{2} )( 1 + 5 T + 13 T^{2} )$	$( 1 - 6 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} )$	$( 1 - T + 19 T^{2} )( 1 + T + 19 T^{2} )$	$( 1 - 3 T + 23 T^{2} )^{2}$	$( 1 + 6 T + 29 T^{2} )^{2}$	$( 1 - 4 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 3 T + 41 T^{2} )( 1 + 3 T + 41 T^{2} )$	$( 1 + 10 T + 43 T^{2} )^{2}$	$( 1 - 3 T + 47 T^{2} )( 1 + 3 T + 47 T^{2} )$
4-522e2-1.1-c1e2-0-2	Bianchi modular form 2.0.3.1-30276.1-d Elliptic curve 2.0.3.1-30276.1-d	$( 1 - T )( 1 + T )$	$1$	$( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$	$( 1 + T + 7 T^{2} )^{2}$	$( 1 + 11 T^{2} )^{2}$	$( 1 - 2 T + 13 T^{2} )^{2}$	$( 1 - 3 T + 17 T^{2} )( 1 + 3 T + 17 T^{2} )$	$( 1 - 5 T + 19 T^{2} )^{2}$	$( 1 - 6 T + 23 T^{2} )( 1 + 6 T + 23 T^{2} )$	$( 1 - T )( 1 + T )$	$( 1 + 4 T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 3 T + 41 T^{2} )( 1 + 3 T + 41 T^{2} )$	$( 1 + T + 43 T^{2} )^{2}$	$( 1 - 3 T + 47 T^{2} )( 1 + 3 T + 47 T^{2} )$
4-570e2-1.1-c1e2-0-7	Modular form 570.2.i.d	$1 - T + T^{2}$	$1 + T + T^{2}$	$1 - T + T^{2}$	$( 1 + T + 7 T^{2} )^{2}$	$( 1 - 6 T + 11 T^{2} )^{2}$	$( 1 - 2 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} )$	$1 - 17 T^{2} + 289 T^{4}$	$1 - 8 T + 19 T^{2}$	$1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4}$	$1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4}$	$( 1 - 5 T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$1 + 6 T - 5 T^{2} + 246 T^{3} + 1681 T^{4}$	$1 - T - 42 T^{2} - 43 T^{3} + 1849 T^{4}$	$1 + 12 T + 97 T^{2} + 564 T^{3} + 2209 T^{4}$
4-373527-1.1-c1e2-0-1	Elliptic curve 2.2.21.1-847.1-d Hilbert modular form 2.2.21.1-847.1-d	$( 1 + 2 T^{2} )^{2}$	$1 + T + 3 T^{2}$	$( 1 + 3 T + 5 T^{2} )^{2}$	$1 - T$	$( 1 - T )( 1 + T )$	$( 1 - 4 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} )$	$( 1 - 6 T + 17 T^{2} )^{2}$	$( 1 - 2 T + 19 T^{2} )( 1 + 2 T + 19 T^{2} )$	$( 1 - 3 T + 23 T^{2} )( 1 + 3 T + 23 T^{2} )$	$( 1 - 6 T + 29 T^{2} )( 1 + 6 T + 29 T^{2} )$	$( 1 - 5 T + 31 T^{2} )( 1 + 5 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 + 6 T + 41 T^{2} )^{2}$	$( 1 - 8 T + 43 T^{2} )^{2}$	$( 1 + 47 T^{2} )^{2}$
4-373527-1.1-c1e2-0-2	Elliptic curve 2.2.21.1-847.1-c Hilbert modular form 2.2.21.1-847.1-c	$( 1 + 2 T^{2} )^{2}$	$1 - T + 3 T^{2}$	$( 1 - 3 T + 5 T^{2} )^{2}$	$1 - T$	$( 1 - T )( 1 + T )$	$( 1 - 4 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} )$	$( 1 + 6 T + 17 T^{2} )^{2}$	$( 1 - 2 T + 19 T^{2} )( 1 + 2 T + 19 T^{2} )$	$( 1 - 3 T + 23 T^{2} )( 1 + 3 T + 23 T^{2} )$	$( 1 - 6 T + 29 T^{2} )( 1 + 6 T + 29 T^{2} )$	$( 1 - 5 T + 31 T^{2} )( 1 + 5 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 6 T + 41 T^{2} )^{2}$	$( 1 - 8 T + 43 T^{2} )^{2}$	$( 1 + 47 T^{2} )^{2}$
4-388800-1.1-c1e2-0-3	Elliptic curve 2.2.40.1-243.1-d Elliptic curve 2.2.40.1-243.2-d Hilbert modular form 2.2.40.1-243.1-d Hilbert modular form 2.2.40.1-243.2-d	$1 + 2 T^{2}$	$1$	$1 + 5 T^{2}$	$( 1 - T + 7 T^{2} )( 1 + T + 7 T^{2} )$	$1 - 11 T^{2} + 121 T^{4}$	$( 1 - 2 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} )$	$1 - 17 T^{2} + 289 T^{4}$	$( 1 - 7 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} )$	$1 - 23 T^{2} + 529 T^{4}$	$1 - 29 T^{2} + 841 T^{4}$	$( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 + 41 T^{2} )^{2}$	$( 1 - 5 T + 43 T^{2} )( 1 + 13 T + 43 T^{2} )$	$1 - 47 T^{2} + 2209 T^{4}$
4-624e2-1.1-c1e2-0-27	Bianchi modular form 2.0.3.1-43264.2-e Elliptic curve 2.0.3.1-43264.2-e	$1$	$1 + T + 3 T^{2}$	$( 1 - T + 5 T^{2} )( 1 + T + 5 T^{2} )$	$( 1 + 5 T + 7 T^{2} )^{2}$	$( 1 - 2 T + 11 T^{2} )( 1 + 2 T + 11 T^{2} )$	$( 1 + T )^{2}$	$( 1 - 3 T + 17 T^{2} )( 1 + 3 T + 17 T^{2} )$	$( 1 - 2 T + 19 T^{2} )^{2}$	$( 1 - 4 T + 23 T^{2} )( 1 + 4 T + 23 T^{2} )$	$( 1 - 6 T + 29 T^{2} )( 1 + 6 T + 29 T^{2} )$	$( 1 - 4 T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 8 T + 41 T^{2} )( 1 + 8 T + 41 T^{2} )$	$( 1 - T + 43 T^{2} )^{2}$	$( 1 - 9 T + 47 T^{2} )( 1 + 9 T + 47 T^{2} )$
4-624e2-1.1-c1e2-0-28	Elliptic curve 2.2.12.1-2704.1-k Hilbert modular form 2.2.12.1-2704.1-k Modular form 624.2.d.a	$1$	$1 + 3 T + 3 T^{2}$	$1 - 7 T^{2} + 25 T^{4}$	$( 1 - 5 T + 7 T^{2} )( 1 + 5 T + 7 T^{2} )$	$( 1 + 11 T^{2} )^{2}$	$( 1 + T )^{2}$	$1 - 31 T^{2} + 289 T^{4}$	$( 1 - 8 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} )$	$( 1 - 6 T + 23 T^{2} )^{2}$	$1 - 10 T^{2} + 841 T^{4}$	$1 - 50 T^{2} + 961 T^{4}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$1 - 70 T^{2} + 1681 T^{4}$	$( 1 - 13 T + 43 T^{2} )( 1 + 13 T + 43 T^{2} )$	$( 1 - 9 T + 47 T^{2} )^{2}$
4-624e2-1.1-c1e2-0-49	Elliptic curve 2.2.12.1-2704.1-n Hilbert modular form 2.2.12.1-2704.1-n Modular form 624.2.d.f	$1$	$1 - 3 T + 3 T^{2}$	$1 - 7 T^{2} + 25 T^{4}$	$( 1 - 5 T + 7 T^{2} )( 1 + 5 T + 7 T^{2} )$	$( 1 + 11 T^{2} )^{2}$	$( 1 + T )^{2}$	$1 - 31 T^{2} + 289 T^{4}$	$( 1 - 8 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} )$	$( 1 + 6 T + 23 T^{2} )^{2}$	$1 - 10 T^{2} + 841 T^{4}$	$1 - 50 T^{2} + 961 T^{4}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$1 - 70 T^{2} + 1681 T^{4}$	$( 1 - 13 T + 43 T^{2} )( 1 + 13 T + 43 T^{2} )$	$( 1 + 9 T + 47 T^{2} )^{2}$
4-627e2-1.1-c1e2-0-6	Bianchi modular form 2.0.11.1-3249.1-a Bianchi modular form 2.0.11.1-3249.3-a Elliptic curve 2.0.11.1-3249.1-a Elliptic curve 2.0.11.1-3249.3-a Elliptic curve 2.2.33.1-361.1-a Elliptic curve 2.2.33.1-361.1-c Hilbert modular form 2.2.33.1-361.1-a Hilbert modular form 2.2.33.1-361.1-c	$( 1 - 2 T + 2 T^{2} )( 1 + 2 T + 2 T^{2} )$	$1 - 3 T + 3 T^{2}$	$( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$	$1 - 10 T^{2} + 49 T^{4}$	$1 + 11 T^{2}$	$1 - 22 T^{2} + 169 T^{4}$	$( 1 - 6 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} )$	$1 + T^{2}$	$( 1 - 3 T + 23 T^{2} )( 1 + 3 T + 23 T^{2} )$	$( 1 - 10 T + 29 T^{2} )( 1 + 10 T + 29 T^{2} )$	$( 1 + T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 8 T + 41 T^{2} )( 1 + 8 T + 41 T^{2} )$	$1 - 70 T^{2} + 1849 T^{4}$	$( 1 - 8 T + 47 T^{2} )( 1 + 8 T + 47 T^{2} )$
4-395307-1.1-c1e2-0-3	Bianchi modular form 2.0.11.1-3267.2-c Bianchi modular form 2.0.11.1-3267.3-c Elliptic curve 2.0.11.1-3267.2-c Elliptic curve 2.0.11.1-3267.3-c	$1 + T^{2} + 4 T^{4}$	$1 - T$	$( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$	$( 1 - 4 T + 7 T^{2} )( 1 + 4 T + 7 T^{2} )$	$1$	$( 1 - 7 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} )$	$1 + 31 T^{2} + 289 T^{4}$	$1 + 10 T^{2} + 361 T^{4}$	$( 1 - 6 T + 23 T^{2} )( 1 + 6 T + 23 T^{2} )$	$1 + 55 T^{2} + 841 T^{4}$	$( 1 + 4 T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$1 + 79 T^{2} + 1681 T^{4}$	$1 - 74 T^{2} + 1849 T^{4}$	$( 1 + 47 T^{2} )^{2}$
4-415912-1.1-c1e2-0-2	Bianchi modular form 2.0.7.1-8488.4-b Bianchi modular form 2.0.7.1-8488.5-b Elliptic curve 2.0.7.1-8488.4-b Elliptic curve 2.0.7.1-8488.5-b	$1 + T$	$1 - 4 T^{2} + 9 T^{4}$	$1 + 7 T^{2} + 25 T^{4}$	$1 - 2 T + 7 T^{2}$	$( 1 - 6 T + 11 T^{2} )( 1 + 11 T^{2} )$	$1 - 8 T^{2} + 169 T^{4}$	$1 + 10 T^{2} + 289 T^{4}$	$1 - 35 T^{2} + 361 T^{4}$	$( 1 - 3 T + 23 T^{2} )( 1 + 3 T + 23 T^{2} )$	$( 1 + 29 T^{2} )( 1 + 9 T + 29 T^{2} )$	$1 - 17 T^{2} + 961 T^{4}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$1 - 17 T^{2} + 1681 T^{4}$	$( 1 - 2 T + 43 T^{2} )( 1 + T + 43 T^{2} )$	$1 - 83 T^{2} + 2209 T^{4}$
4-431392-1.1-c1e2-0-0	Bianchi modular form 2.0.4.1-26962.3-a Bianchi modular form 2.0.4.1-26962.6-a Elliptic curve 2.0.4.1-26962.3-a Elliptic curve 2.0.4.1-26962.6-a	$1 + T$	$( 1 - 2 T + 3 T^{2} )( 1 + 2 T + 3 T^{2} )$	$( 1 + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$	$1 + 4 T^{2} + 49 T^{4}$	$1 - 5 T^{2} + 121 T^{4}$	$( 1 - T )( 1 + 4 T + 13 T^{2} )$	$( 1 - T )( 1 - 3 T + 17 T^{2} )$	$1 + 25 T^{2} + 361 T^{4}$	$( 1 - 9 T + 23 T^{2} )( 1 + 9 T + 23 T^{2} )$	$( 1 - 6 T + 29 T^{2} )( 1 + 9 T + 29 T^{2} )$	$( 1 - 4 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 + 6 T + 41 T^{2} )^{2}$	$1 - 41 T^{2} + 1849 T^{4}$	$( 1 - 12 T + 47 T^{2} )( 1 + 12 T + 47 T^{2} )$
4-449440-1.1-c1e2-0-1	Bianchi modular form 2.0.4.1-28090.1-b Bianchi modular form 2.0.4.1-28090.6-b Elliptic curve 2.0.4.1-28090.1-b Elliptic curve 2.0.4.1-28090.6-b	$1 - T$	$1 - 2 T^{2} + 9 T^{4}$	$( 1 + T )( 1 + T + 5 T^{2} )$	$1 + 4 T^{2} + 49 T^{4}$	$1 + 4 T^{2} + 121 T^{4}$	$( 1 - 5 T + 13 T^{2} )( 1 + 5 T + 13 T^{2} )$	$( 1 + 5 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} )$	$( 1 - 8 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} )$	$1 + 5 T^{2} + 529 T^{4}$	$( 1 - 5 T + 29 T^{2} )( 1 + 2 T + 29 T^{2} )$	$( 1 - 8 T + 31 T^{2} )( 1 + 8 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 8 T + 41 T^{2} )( 1 + 5 T + 41 T^{2} )$	$1 - 17 T^{2} + 1849 T^{4}$	$1 - 54 T^{2} + 2209 T^{4}$
4-77e3-1.1-c1e2-0-0	Elliptic curve 2.2.77.1-77.1-j Hilbert modular form 2.2.77.1-77.1-j	$( 1 + 2 T^{2} )^{2}$	$( 1 - T + 3 T^{2} )( 1 + T + 3 T^{2} )$	$( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$	$1 + T$	$1 + T$	$( 1 - 4 T + 13 T^{2} )^{2}$	$( 1 - 6 T + 17 T^{2} )^{2}$	$( 1 + 2 T + 19 T^{2} )^{2}$	$( 1 - 3 T + 23 T^{2} )^{2}$	$( 1 - 6 T + 29 T^{2} )( 1 + 6 T + 29 T^{2} )$	$( 1 - 5 T + 31 T^{2} )( 1 + 5 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 + 6 T + 41 T^{2} )^{2}$	$( 1 - 8 T + 43 T^{2} )( 1 + 8 T + 43 T^{2} )$	$( 1 + 47 T^{2} )^{2}$
4-77e3-1.1-c1e2-0-2	Elliptic curve 2.2.77.1-77.1-e Hilbert modular form 2.2.77.1-77.1-e	$( 1 + 2 T^{2} )^{2}$	$( 1 - T + 3 T^{2} )( 1 + T + 3 T^{2} )$	$( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$	$1 - T$	$1 + T$	$( 1 + 4 T + 13 T^{2} )^{2}$	$( 1 + 6 T + 17 T^{2} )^{2}$	$( 1 - 2 T + 19 T^{2} )^{2}$	$( 1 - 3 T + 23 T^{2} )^{2}$	$( 1 - 6 T + 29 T^{2} )( 1 + 6 T + 29 T^{2} )$	$( 1 - 5 T + 31 T^{2} )( 1 + 5 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 6 T + 41 T^{2} )^{2}$	$( 1 - 8 T + 43 T^{2} )( 1 + 8 T + 43 T^{2} )$	$( 1 + 47 T^{2} )^{2}$
4-684e2-1.1-c1e2-0-39	Elliptic curve 2.0.3.1-51984.1-CMb Elliptic curve 2.0.3.1-51984.3-CMb Modular form 684.2.k.d	$1$	$1$	$1 - 5 T^{2} + 25 T^{4}$	$( 1 - 5 T + 7 T^{2} )^{2}$	$( 1 + 11 T^{2} )^{2}$	$( 1 - 2 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} )$	$1 - 17 T^{2} + 289 T^{4}$	$1 - 8 T + 19 T^{2}$	$1 - 23 T^{2} + 529 T^{4}$	$1 - 29 T^{2} + 841 T^{4}$	$( 1 + 7 T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$1 - 41 T^{2} + 1681 T^{4}$	$( 1 - 8 T + 43 T^{2} )( 1 - 5 T + 43 T^{2} )$	$1 - 47 T^{2} + 2209 T^{4}$
4-525231-1.1-c1e2-0-5	Bianchi modular form 2.0.3.1-58359.3-b Bianchi modular form 2.0.3.1-58359.4-b Elliptic curve 2.0.3.1-58359.3-b Elliptic curve 2.0.3.1-58359.4-b	$1 - 2 T^{2} + 4 T^{4}$	$1 + T$	$1 + 4 T^{2} + 25 T^{4}$	$( 1 - T )( 1 + T )$	$1 - 4 T^{2} + 121 T^{4}$	$( 1 + T + 13 T^{2} )( 1 + 5 T + 13 T^{2} )$	$1 + 16 T^{2} + 289 T^{4}$	$( 1 + T + 19 T^{2} )( 1 + 2 T + 19 T^{2} )$	$1 + 12 T^{2} + 529 T^{4}$	$1 - 52 T^{2} + 841 T^{4}$	$( 1 - 7 T + 31 T^{2} )( 1 + 6 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$1 - 20 T^{2} + 1681 T^{4}$	$( 1 - 7 T + 43 T^{2} )( 1 + T + 43 T^{2} )$	$1 + 10 T^{2} + 2209 T^{4}$
4-728e2-1.1-c1e2-0-7	Bianchi modular form 2.0.7.1-10816.4-a Elliptic curve 2.0.7.1-10816.4-a	$1$	$( 1 - T + 3 T^{2} )( 1 + T + 3 T^{2} )$	$( 1 - T + 5 T^{2} )( 1 + T + 5 T^{2} )$	$1 - 5 T + 7 T^{2}$	$( 1 + 2 T + 11 T^{2} )^{2}$	$( 1 - T )( 1 + T )$	$( 1 - 3 T + 17 T^{2} )( 1 + 3 T + 17 T^{2} )$	$( 1 - 2 T + 19 T^{2} )( 1 + 2 T + 19 T^{2} )$	$( 1 - 4 T + 23 T^{2} )^{2}$	$( 1 + 6 T + 29 T^{2} )^{2}$	$( 1 - 4 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 8 T + 41 T^{2} )( 1 + 8 T + 41 T^{2} )$	$( 1 + T + 43 T^{2} )^{2}$	$( 1 - 9 T + 47 T^{2} )( 1 + 9 T + 47 T^{2} )$
4-547263-1.1-c1e2-0-0	Bianchi modular form 2.0.3.1-60807.1-a Bianchi modular form 2.0.3.1-60807.2-a Elliptic curve 2.0.3.1-60807.1-a Elliptic curve 2.0.3.1-60807.2-a	$1 + T^{2} + 4 T^{4}$	$1 - T$	$1 - 2 T^{2} + 25 T^{4}$	$( 1 - 2 T + 7 T^{2} )( 1 + 4 T + 7 T^{2} )$	$1 - 8 T^{2} + 121 T^{4}$	$( 1 + T + 13 T^{2} )( 1 + 4 T + 13 T^{2} )$	$1 + 7 T^{2} + 289 T^{4}$	$( 1 - 2 T + 19 T^{2} )^{2}$	$1 - 5 T^{2} + 529 T^{4}$	$1 + 34 T^{2} + 841 T^{4}$	$( 1 - 2 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$1 - 47 T^{2} + 1681 T^{4}$	$( 1 - 2 T + 43 T^{2} )( 1 + 7 T + 43 T^{2} )$	$1 - 53 T^{2} + 2209 T^{4}$
4-756e2-1.1-c1e2-0-18	Bianchi modular form 2.0.3.1-63504.2-d Elliptic curve 2.0.3.1-63504.2-d	$1$	$1$	$( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$	$( 1 - T )^{2}$	$( 1 - 3 T + 11 T^{2} )( 1 + 3 T + 11 T^{2} )$	$( 1 - 2 T + 13 T^{2} )^{2}$	$( 1 - 6 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} )$	$( 1 - 5 T + 19 T^{2} )^{2}$	$( 1 - 9 T + 23 T^{2} )( 1 + 9 T + 23 T^{2} )$	$( 1 - 6 T + 29 T^{2} )( 1 + 6 T + 29 T^{2} )$	$( 1 + T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 3 T + 41 T^{2} )( 1 + 3 T + 41 T^{2} )$	$( 1 + 4 T + 43 T^{2} )^{2}$	$( 1 - 12 T + 47 T^{2} )( 1 + 12 T + 47 T^{2} )$
4-582309-1.1-c1e2-0-1	Bianchi modular form 2.0.3.1-64701.1-a Bianchi modular form 2.0.3.1-64701.8-a Elliptic curve 2.0.3.1-64701.1-a Elliptic curve 2.0.3.1-64701.8-a	$1 - 2 T^{2} + 4 T^{4}$	$1$	$( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$	$( 1 - T )( 1 - 2 T + 7 T^{2} )$	$( 1 - 3 T + 11 T^{2} )( 1 + 3 T + 11 T^{2} )$	$( 1 - T )( 1 - 2 T + 13 T^{2} )$	$1 + T^{2} + 289 T^{4}$	$( 1 - 8 T + 19 T^{2} )( 1 + T + 19 T^{2} )$	$( 1 - 6 T + 23 T^{2} )( 1 + 6 T + 23 T^{2} )$	$( 1 - 6 T + 29 T^{2} )( 1 + 6 T + 29 T^{2} )$	$( 1 + 4 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} )$	$( 1 - 11 T + 37 T^{2} )^{2}$	$1 - 2 T^{2} + 1681 T^{4}$	$( 1 - 11 T + 43 T^{2} )( 1 + 10 T + 43 T^{2} )$	$1 + 52 T^{2} + 2209 T^{4}$
4-586971-1.1-c1e2-0-5	Elliptic curve 2.2.33.1-539.1-a Hilbert modular form 2.2.33.1-539.1-a	$( 1 + 2 T^{2} )^{2}$	$1 - T + 3 T^{2}$	$( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$	$( 1 - T )( 1 + T )$	$1 - T$	$( 1 - 4 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} )$	$( 1 - 6 T + 17 T^{2} )^{2}$	$( 1 - 2 T + 19 T^{2} )( 1 + 2 T + 19 T^{2} )$	$( 1 - 3 T + 23 T^{2} )( 1 + 3 T + 23 T^{2} )$	$( 1 - 6 T + 29 T^{2} )^{2}$	$( 1 - 5 T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 + 6 T + 41 T^{2} )^{2}$	$( 1 - 8 T + 43 T^{2} )( 1 + 8 T + 43 T^{2} )$	$( 1 + 47 T^{2} )^{2}$
4-586971-1.1-c1e2-0-7	Elliptic curve 2.2.33.1-539.1-f Hilbert modular form 2.2.33.1-539.1-f	$( 1 + 2 T^{2} )^{2}$	$1 - T + 3 T^{2}$	$( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$	$( 1 - T )( 1 + T )$	$1 + T$	$( 1 - 4 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} )$	$( 1 + 6 T + 17 T^{2} )^{2}$	$( 1 - 2 T + 19 T^{2} )( 1 + 2 T + 19 T^{2} )$	$( 1 - 3 T + 23 T^{2} )( 1 + 3 T + 23 T^{2} )$	$( 1 + 6 T + 29 T^{2} )^{2}$	$( 1 - 5 T + 31 T^{2} )^{2}$	$( 1 - 11 T + 37 T^{2} )^{2}$	$( 1 - 6 T + 41 T^{2} )^{2}$	$( 1 - 8 T + 43 T^{2} )( 1 + 8 T + 43 T^{2} )$	$( 1 + 47 T^{2} )^{2}$

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