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$L(s) = \prod_p F_p(p^{-s})^{-1}$
Label Origin \(F_{ 2 }(T)\) \(F_{ 3 }(T)\) \(F_{ 5 }(T)\) \(F_{ 7 }(T)\)
4-57e2-1.1-c1e2-0-0 Modular form 57.2.e.a $1 + T - T^{2} + 2 T^{3} + 4 T^{4}$ $1 - T + T^{2}$ $1 - 5 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-3753-1.1-c1e2-0-0 Bianchi modular form 2.0.3.1-417.1-a Bianchi modular form 2.0.3.1-417.2-a Elliptic curve 2.0.3.1-417.1-a Elliptic curve 2.0.3.1-417.2-a $1 + 2 T^{2} + 4 T^{4}$ $1 - T$ $1 + 2 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-78e2-1.1-c1e2-0-0 Bianchi modular form 2.0.3.1-676.2-a Elliptic curve 2.0.3.1-676.2-a $( 1 - T )( 1 + T )$ $1 + 3 T + 3 T^{2}$ $( 1 - T + 5 T^{2} )( 1 + T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )^{2}$
4-7436-1.1-c1e2-0-1 Genus 2 curve 7436.b $( 1 - T )( 1 + T )$ $( 1 + T + 3 T^{2} )( 1 + 3 T + 3 T^{2} )$ $( 1 + T + 5 T^{2} )^{2}$ $( 1 - T + 7 T^{2} )^{2}$
4-9088-1.1-c1e2-0-2 Elliptic curve 2.2.8.1-142.1-b Elliptic curve 2.2.8.1-142.2-b Hilbert modular form 2.2.8.1-142.1-b Hilbert modular form 2.2.8.1-142.2-b $1 - T$ $1 + 4 T^{2} + 9 T^{4}$ $1 - 5 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-114e2-1.1-c1e2-0-1 Modular form 114.2.h.c $1 - T + T^{2}$ $1 + 3 T + 3 T^{2}$ $1 + 6 T + 17 T^{2} + 30 T^{3} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-114e2-1.1-c1e2-0-2 Modular form 114.2.h.b $1 + T + T^{2}$ $1 + 3 T + 3 T^{2}$ $1 - 6 T + 17 T^{2} - 30 T^{3} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-114e2-1.1-c1e2-0-5 Elliptic curve 2.2.57.1-4.1-d Hilbert modular form 2.2.57.1-4.1-d Modular form 114.2.b.c $( 1 - T )^{2}$ $1 + 3 T + 3 T^{2}$ $1 + 2 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-114e2-1.1-c1e2-0-7 Modular form 114.2.e.b $1 - T + T^{2}$ $1 - T + T^{2}$ $1 - 5 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-114e2-1.1-c1e2-0-8 Elliptic curve 2.2.57.1-4.1-a Hilbert modular form 2.2.57.1-4.1-a Modular form 114.2.b.b $( 1 + T )^{2}$ $1 - 3 T + 3 T^{2}$ $1 + 2 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-16256-1.1-c1e2-0-2 Elliptic curve 2.2.8.1-254.1-b Elliptic curve 2.2.8.1-254.2-b Hilbert modular form 2.2.8.1-254.1-b Hilbert modular form 2.2.8.1-254.2-b $1 - T$ $1 + 4 T^{2} + 9 T^{4}$ $1 + 2 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-130e2-1.1-c1e2-0-8 Genus 2 curve 16900.a $( 1 - T )^{2}$ $( 1 - 2 T + 3 T^{2} )( 1 + 3 T + 3 T^{2} )$ $1 + T + 5 T^{2}$ $( 1 - T + 7 T^{2} )^{2}$
4-19360-1.1-c1e2-0-2 Elliptic curve 2.2.44.1-10.1-b Elliptic curve 2.2.44.1-10.2-b Hilbert modular form 2.2.44.1-10.1-b Hilbert modular form 2.2.44.1-10.2-b $1 - T$ $1 + 4 T^{2} + 9 T^{4}$ $( 1 - T )( 1 + T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )^{2}$
4-21632-1.1-c1e2-0-2 Elliptic curve 2.2.8.1-338.1-a Hilbert modular form 2.2.8.1-338.1-a $1 - T$ $( 1 - 3 T + 3 T^{2} )( 1 + 3 T + 3 T^{2} )$ $( 1 - T + 5 T^{2} )( 1 + T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )^{2}$
4-148e2-1.1-c1e2-0-6 Elliptic curve 2.2.37.1-16.1-a Hilbert modular form 2.2.37.1-16.1-a Modular form 148.2.d.a $1$ $( 1 - T + 3 T^{2} )^{2}$ $1 + 2 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-22326-1.1-c1e2-0-0 Genus 2 curve 22326.a $( 1 - T )( 1 + T + 2 T^{2} )$ $( 1 - T )( 1 + 2 T + 3 T^{2} )$ $( 1 - T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )^{2}$
4-171e2-1.1-c1e2-0-5 Modular form 171.2.f.a $1 - T - T^{2} - 2 T^{3} + 4 T^{4}$ $1$ $1 - 5 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-183e2-1.1-c1e2-0-1 Bianchi modular form 2.0.3.1-3721.2-a Elliptic curve 2.0.3.1-3721.2-a $( 1 - T + 2 T^{2} )( 1 + T + 2 T^{2} )$ $1 + 2 T + 3 T^{2}$ $( 1 - 3 T + 5 T^{2} )( 1 + 3 T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )^{2}$
4-185e2-1.1-c1e2-0-8 Elliptic curve 2.2.37.1-25.1-b Hilbert modular form 2.2.37.1-25.1-b Modular form 185.2.c.a $( 1 - 2 T^{2} )^{2}$ $( 1 - T + 3 T^{2} )^{2}$ $1 + T^{2}$ $( 1 - T + 7 T^{2} )^{2}$
4-190e2-1.1-c1e2-0-4 Modular form 190.2.e.a $1 + T + T^{2}$ $( 1 - 3 T + 3 T^{2} )( 1 + 3 T + 3 T^{2} )$ $1 - T + T^{2}$ $( 1 - T + 7 T^{2} )^{2}$
4-40896-1.1-c1e2-0-1 Elliptic curve 2.2.8.1-639.1-a Elliptic curve 2.2.8.1-639.2-a Hilbert modular form 2.2.8.1-639.1-a Hilbert modular form 2.2.8.1-639.2-a $1 - T + 2 T^{2}$ $1 + T^{2}$ $1 - 3 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-43732-1.1-c1e2-0-1 Elliptic curve 2.2.29.1-52.1-c Elliptic curve 2.2.29.1-52.2-c Hilbert modular form 2.2.29.1-52.1-c Hilbert modular form 2.2.29.1-52.2-c $1 + T^{2}$ $1 + 4 T^{2} + 9 T^{4}$ $( 1 - T + 5 T^{2} )( 1 + 2 T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )^{2}$
4-47232-1.1-c1e2-0-2 Elliptic curve 2.2.8.1-738.1-c Elliptic curve 2.2.8.1-738.2-c Hilbert modular form 2.2.8.1-738.1-c Hilbert modular form 2.2.8.1-738.2-c $1 - T$ $( 1 - T )( 1 + T )$ $1 + 2 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-228e2-1.1-c1e2-0-9 Elliptic curve 2.0.3.1-5776.1-CMc Elliptic curve 2.0.3.1-5776.3-CMc Modular form 228.2.p.b $1$ $1 - 3 T + 3 T^{2}$ $1 + 5 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-54665-1.1-c1e2-0-2 Elliptic curve 2.2.29.1-65.2-b Elliptic curve 2.2.29.1-65.3-b Hilbert modular form 2.2.29.1-65.2-b Hilbert modular form 2.2.29.1-65.3-b $1 + 2 T^{2} + 4 T^{4}$ $1 + 4 T^{2} + 9 T^{4}$ $( 1 - T )( 1 + T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )^{2}$
4-234e2-1.1-c1e2-0-1 Modular form 234.2.g.a $1 + T + T^{2}$ $1 + 3 T + 3 T^{2}$ $1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-237e2-1.1-c1e2-0-0 Modular form 237.2.a.a $1 - 2 T + 3 T^{2} - 4 T^{3} + 4 T^{4}$ $( 1 + T )^{2}$ $( 1 + 5 T^{2} )^{2}$ $( 1 - T + 7 T^{2} )^{2}$
4-60372-1.1-c1e2-0-2 Bianchi modular form 2.0.3.1-6708.2-a Bianchi modular form 2.0.3.1-6708.3-a Elliptic curve 2.0.3.1-6708.2-a Elliptic curve 2.0.3.1-6708.3-a $( 1 - T )( 1 + T )$ $1 - T$ $1 + 2 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-68080-1.1-c1e2-0-0 Genus 2 curve 68080.a $1$ $( 1 - 2 T + 3 T^{2} )( 1 + T + 3 T^{2} )$ $( 1 + T )( 1 + 5 T^{2} )$ $( 1 - T + 7 T^{2} )^{2}$
4-68890-1.1-c1e2-0-0 Genus 2 curve 68890.a $( 1 + T )( 1 - T + 2 T^{2} )$ $( 1 - 3 T + 3 T^{2} )( 1 + T + 3 T^{2} )$ $( 1 - T )( 1 + 2 T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )^{2}$
4-80768-1.1-c1e2-0-0 Elliptic curve 2.2.8.1-1262.1-c Elliptic curve 2.2.8.1-1262.2-c Hilbert modular form 2.2.8.1-1262.1-c Hilbert modular form 2.2.8.1-1262.2-c $1 + T$ $1 + 4 T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 + 4 T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )^{2}$
4-83700-1.1-c1e2-0-1 Bianchi modular form 2.0.3.1-9300.1-b Bianchi modular form 2.0.3.1-9300.2-b Elliptic curve 2.0.3.1-9300.1-b Elliptic curve 2.0.3.1-9300.2-b $( 1 - T )( 1 + T )$ $1 - T$ $( 1 - T )( 1 + T )$ $( 1 - T + 7 T^{2} )^{2}$
4-297e2-1.1-c1e2-0-8 Bianchi modular form 2.0.3.1-9801.1-b Elliptic curve 2.0.3.1-9801.1-b $( 1 - 2 T + 2 T^{2} )( 1 + 2 T + 2 T^{2} )$ $1$ $( 1 - 2 T + 5 T^{2} )( 1 + 2 T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )^{2}$
4-299e2-1.1-c1e2-0-1 Modular form 299.2.a.b $1 + T - T^{2} + 2 T^{3} + 4 T^{4}$ $1 + T + T^{2} + 3 T^{3} + 9 T^{4}$ $1 - 3 T + 7 T^{2} - 15 T^{3} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-90828-1.1-c1e2-0-0 Bianchi modular form 2.0.3.1-10092.1-d Elliptic curve 2.0.3.1-10092.1-d $( 1 - T )( 1 + T )$ $1 - T$ $( 1 - T + 5 T^{2} )( 1 + T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )^{2}$
4-90828-1.1-c1e2-0-5 Bianchi modular form 2.0.3.1-10092.1-b Elliptic curve 2.0.3.1-10092.1-b $( 1 - T )( 1 + T )$ $1 + T$ $( 1 - T + 5 T^{2} )( 1 + T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )^{2}$
4-95296-1.1-c1e2-0-0 Elliptic curve 2.2.8.1-1489.1-a Elliptic curve 2.2.8.1-1489.2-a Hilbert modular form 2.2.8.1-1489.1-a Hilbert modular form 2.2.8.1-1489.2-a $1 + T + 2 T^{2}$ $1 - 2 T^{2} + 9 T^{4}$ $1 + 5 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-96800-1.1-c1e2-0-3 Elliptic curve 2.2.44.1-50.1-a Elliptic curve 2.2.44.1-50.1-b Hilbert modular form 2.2.44.1-50.1-a Hilbert modular form 2.2.44.1-50.1-b $1 - T$ $1 - T^{2} + 9 T^{4}$ $( 1 - T )( 1 + T )$ $( 1 - T + 7 T^{2} )^{2}$
4-318e2-1.1-c1e2-0-2 Elliptic curve 2.2.53.1-36.1-b Hilbert modular form 2.2.53.1-36.1-b Modular form 318.2.c.a $1 + T^{2}$ $1 + T^{2}$ $( 1 - 2 T + 5 T^{2} )( 1 + 2 T + 5 T^{2} )$ $( 1 - T + 7 T^{2} )^{2}$
4-318e2-1.1-c1e2-0-4 Elliptic curve 2.2.53.1-36.1-c Hilbert modular form 2.2.53.1-36.1-c Modular form 318.2.c.c $1 + T^{2}$ $1 + T^{2}$ $( 1 - 5 T^{2} )^{2}$ $( 1 - T + 7 T^{2} )^{2}$
4-333e2-1.1-c1e2-0-12 Genus 2 curve 110889.a Modular form 333.2.t.a $1 + 3 T + 5 T^{2} + 6 T^{3} + 4 T^{4}$ $1 + 3 T + 3 T^{2}$ $1 + 5 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-333e2-1.1-c1e2-0-5 Elliptic curve 2.2.37.1-81.2-c Elliptic curve 2.2.37.1-81.3-c Hilbert modular form 2.2.37.1-81.2-c Hilbert modular form 2.2.37.1-81.3-c $1 - T^{2} + 4 T^{4}$ $1 - T$ $1 + 2 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-116343-1.1-c1e2-0-0 Bianchi modular form 2.0.3.1-12927.2-a Bianchi modular form 2.0.3.1-12927.3-a Elliptic curve 2.0.3.1-12927.2-a Elliptic curve 2.0.3.1-12927.3-a $1 + 2 T^{2} + 4 T^{4}$ $1 - T$ $1 - 4 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-342e2-1.1-c1e2-0-13 Modular form 342.2.g.c $1 + T + T^{2}$ $1$ $1 - 5 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
4-117207-1.1-c1e2-0-0 Bianchi modular form 2.0.3.1-13023.1-a Bianchi modular form 2.0.3.1-13023.2-a Elliptic curve 2.0.3.1-13023.1-a Elliptic curve 2.0.3.1-13023.2-a $1 + T^{2} + 4 T^{4}$ $1$ $1 + 3 T^{2} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
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 $( 1 - 2 T + 2 T^{2} )( 1 + 2 T + 2 T^{2} )$ $1 + 3 T^{2}$ $( 1 - T )( 1 + T )$ $( 1 - T + 7 T^{2} )^{2}$
4-119072-1.1-c1e2-0-2 Genus 2 curve 119072.c $1 + T + 2 T^{2}$ $( 1 - 2 T + 3 T^{2} )( 1 + 2 T + 3 T^{2} )$ $( 1 + 3 T + 5 T^{2} )^{2}$ $( 1 - T + 7 T^{2} )^{2}$
4-348e2-1.1-c1e2-0-4 Elliptic curve 2.2.29.1-144.1-a Hilbert modular form 2.2.29.1-144.1-a Modular form 348.2.h.c $1$ $1 + T^{2}$ $( 1 - 4 T + 5 T^{2} )^{2}$ $( 1 - T + 7 T^{2} )^{2}$
4-358e2-1.1-c1e2-0-0 Modular form 358.2.a.c $( 1 + T )^{2}$ $1 - T + T^{2} - 3 T^{3} + 9 T^{4}$ $( 1 - 3 T + 5 T^{2} )^{2}$ $( 1 - T + 7 T^{2} )^{2}$
4-363e2-1.1-c1e2-0-8 Modular form 363.2.a.i $1 - 3 T + 5 T^{2} - 6 T^{3} + 4 T^{4}$ $( 1 + T )^{2}$ $1 - T + 9 T^{2} - 5 T^{3} + 25 T^{4}$ $( 1 - T + 7 T^{2} )^{2}$
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