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Results (1-50 of 124 matches)

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$L(s) = \prod_p F_p(p^{-s})^{-1}$
Label Origin \(F_{ 2 }(T)\) \(F_{ 3 }(T)\) \(F_{ 5 }(T)\) \(F_{ 7 }(T)\)
4-96512-1.1-c1e2-0-3 Bianchi modular form 2.0.4.1-6032.1-b Bianchi modular form 2.0.4.1-6032.4-b Elliptic curve 2.0.4.1-6032.1-b Elliptic curve 2.0.4.1-6032.4-b $1$ $( 1 - 2 T + 3 T^{2} )( 1 + 2 T + 3 T^{2} )$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 12 T^{2} + 49 T^{4}$
4-104992-1.1-c1e2-0-0 Bianchi modular form 2.0.4.1-6562.2-a Bianchi modular form 2.0.4.1-6562.3-a Elliptic curve 2.0.4.1-6562.2-a Elliptic curve 2.0.4.1-6562.3-a $1 + T$ $1 - 2 T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - 4 T^{2} + 49 T^{4}$
4-357e2-1.1-c1e2-0-9 Elliptic curve 2.2.21.1-289.2-c Elliptic curve 2.2.21.1-289.3-c Hilbert modular form 2.2.21.1-289.2-c Hilbert modular form 2.2.21.1-289.3-c $1 - T^{2} + 4 T^{4}$ $1 + T + 3 T^{2}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 3 T + 7 T^{2}$
4-143312-1.1-c1e2-0-4 Bianchi modular form 2.0.4.1-8957.1-c Bianchi modular form 2.0.4.1-8957.6-c Elliptic curve 2.0.4.1-8957.1-c Elliptic curve 2.0.4.1-8957.6-c $1 - 2 T + 2 T^{2}$ $1 - 2 T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $( 1 - 5 T + 7 T^{2} )( 1 + 5 T + 7 T^{2} )$
4-145808-1.1-c1e2-0-0 Bianchi modular form 2.0.4.1-9113.2-a Bianchi modular form 2.0.4.1-9113.3-a Elliptic curve 2.0.4.1-9113.2-a Elliptic curve 2.0.4.1-9113.3-a $1 - 2 T + 2 T^{2}$ $( 1 - 2 T + 3 T^{2} )( 1 + 2 T + 3 T^{2} )$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 6 T^{2} + 49 T^{4}$
4-174928-1.1-c1e2-0-1 Bianchi modular form 2.0.4.1-10933.1-a Bianchi modular form 2.0.4.1-10933.6-a Elliptic curve 2.0.4.1-10933.1-a Elliptic curve 2.0.4.1-10933.6-a $1 - 2 T + 2 T^{2}$ $1 - 2 T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 12 T^{2} + 49 T^{4}$
4-221728-1.1-c1e2-0-6 Bianchi modular form 2.0.4.1-13858.1-c Bianchi modular form 2.0.4.1-13858.6-c Elliptic curve 2.0.4.1-13858.1-c Elliptic curve 2.0.4.1-13858.6-c $1 - T$ $1 + T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 6 T^{2} + 49 T^{4}$
4-240192-1.1-c1e2-0-4 Elliptic curve 2.2.24.1-417.1-a Elliptic curve 2.2.24.1-417.2-a Hilbert modular form 2.2.24.1-417.1-a Hilbert modular form 2.2.24.1-417.2-a $1 - T + 2 T^{2}$ $1 + T$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $( 1 - 3 T + 7 T^{2} )( 1 + 3 T + 7 T^{2} )$
4-492e2-1.1-c1e2-0-10 Elliptic curve 2.2.41.1-144.2-a Elliptic curve 2.2.41.1-144.3-a Hilbert modular form 2.2.41.1-144.2-a Hilbert modular form 2.2.41.1-144.3-a $1 - T$ $( 1 - T )( 1 + T )$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - 3 T^{2} + 49 T^{4}$
4-506e2-1.1-c1e2-0-2 Bianchi modular form 2.0.11.1-2116.2-c Bianchi modular form 2.0.11.1-2116.2-e Elliptic curve 2.0.11.1-2116.2-c Elliptic curve 2.0.11.1-2116.2-e $1 + T^{2}$ $( 1 - 3 T + 3 T^{2} )( 1 + 3 T^{2} )$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - T^{2} + 49 T^{4}$
4-257488-1.1-c1e2-0-6 Elliptic curve 2.2.44.1-133.1-d Elliptic curve 2.2.44.1-133.4-d Hilbert modular form 2.2.44.1-133.1-d Hilbert modular form 2.2.44.1-133.4-d $1 + 2 T^{2}$ $1 - 2 T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $( 1 + T )( 1 + 3 T + 7 T^{2} )$
4-257488-1.1-c1e2-0-8 Elliptic curve 2.2.44.1-133.1-b Elliptic curve 2.2.44.1-133.4-b Hilbert modular form 2.2.44.1-133.1-b Hilbert modular form 2.2.44.1-133.4-b $1 + 2 T^{2}$ $1 - 2 T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $( 1 - T )( 1 - 3 T + 7 T^{2} )$
4-307377-1.1-c1e2-0-2 Elliptic curve 2.2.21.1-697.1-a Elliptic curve 2.2.21.1-697.4-a Hilbert modular form 2.2.21.1-697.1-a Hilbert modular form 2.2.21.1-697.4-a $1 + T^{2} + 4 T^{4}$ $1 - 3 T + 3 T^{2}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + T + 7 T^{2}$
4-317952-1.1-c1e2-0-9 Elliptic curve 2.2.24.1-552.1-a Elliptic curve 2.2.24.1-552.2-a Hilbert modular form 2.2.24.1-552.1-a Hilbert modular form 2.2.24.1-552.2-a $1$ $1 + T$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 4 T^{2} + 49 T^{4}$
4-342176-1.1-c1e2-0-4 Bianchi modular form 2.0.4.1-21386.2-e Bianchi modular form 2.0.4.1-21386.5-e Elliptic curve 2.0.4.1-21386.2-e Elliptic curve 2.0.4.1-21386.5-e $1 + T$ $1 + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 3 T^{2} + 49 T^{4}$
4-357696-1.1-c1e2-0-7 Elliptic curve 2.2.24.1-621.1-b Elliptic curve 2.2.24.1-621.2-b Hilbert modular form 2.2.24.1-621.1-b Hilbert modular form 2.2.24.1-621.2-b $1 - T + 2 T^{2}$ $1$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 4 T^{2} + 49 T^{4}$
4-385696-1.1-c1e2-0-0 Bianchi modular form 2.0.4.1-24106.1-a Bianchi modular form 2.0.4.1-24106.4-a Elliptic curve 2.0.4.1-24106.1-a Elliptic curve 2.0.4.1-24106.4-a $1 + T$ $1 - 4 T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 8 T^{2} + 49 T^{4}$
4-406944-1.1-c1e2-0-11 Bianchi modular form 2.0.4.1-25434.1-a Bianchi modular form 2.0.4.1-25434.2-a Elliptic curve 2.0.4.1-25434.1-a Elliptic curve 2.0.4.1-25434.2-a $1 - T$ $1$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - 4 T^{2} + 49 T^{4}$
4-479808-1.1-c1e2-0-6 Elliptic curve 2.2.21.1-1088.1-a Elliptic curve 2.2.21.1-1088.2-a Hilbert modular form 2.2.21.1-1088.1-a Hilbert modular form 2.2.21.1-1088.2-a $1$ $1 + T + 3 T^{2}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - T + 7 T^{2}$
4-491296-1.1-c1e2-0-1 Bianchi modular form 2.0.4.1-30706.1-c Bianchi modular form 2.0.4.1-30706.4-c Elliptic curve 2.0.4.1-30706.1-c Elliptic curve 2.0.4.1-30706.4-c $1 - T$ $( 1 - 2 T + 3 T^{2} )( 1 + 2 T + 3 T^{2} )$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - 10 T^{2} + 49 T^{4}$
4-497872-1.1-c1e2-0-3 Bianchi modular form 2.0.4.1-31117.1-b Bianchi modular form 2.0.4.1-31117.6-b Elliptic curve 2.0.4.1-31117.1-b Elliptic curve 2.0.4.1-31117.6-b $1 - 2 T + 2 T^{2}$ $1 - 2 T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 6 T^{2} + 49 T^{4}$
4-510912-1.1-c1e2-0-4 Elliptic curve 2.2.24.1-887.1-a Elliptic curve 2.2.24.1-887.2-a Hilbert modular form 2.2.24.1-887.1-a Hilbert modular form 2.2.24.1-887.2-a $1 + 2 T^{2}$ $1 + T + 3 T^{2}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - 5 T^{2} + 49 T^{4}$
4-553248-1.1-c1e2-0-1 Bianchi modular form 2.0.4.1-34578.1-b Bianchi modular form 2.0.4.1-34578.4-b Elliptic curve 2.0.4.1-34578.1-b Elliptic curve 2.0.4.1-34578.4-b $1 - T$ $1 + T^{2}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 4 T^{2} + 49 T^{4}$
4-564128-1.1-c1e2-0-1 Bianchi modular form 2.0.4.1-35258.1-b Bianchi modular form 2.0.4.1-35258.6-b Elliptic curve 2.0.4.1-35258.1-b Elliptic curve 2.0.4.1-35258.6-b $1 - T$ $1 + 4 T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - 5 T^{2} + 49 T^{4}$
4-569152-1.1-c1e2-0-0 Bianchi modular form 2.0.4.1-35572.1-a Bianchi modular form 2.0.4.1-35572.2-a Elliptic curve 2.0.4.1-35572.1-a Elliptic curve 2.0.4.1-35572.2-a $1$ $1 - 2 T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 8 T^{2} + 49 T^{4}$
4-583443-1.1-c1e2-0-3 Elliptic curve 2.2.21.1-1323.1-e Elliptic curve 2.2.21.1-1323.1-g Hilbert modular form 2.2.21.1-1323.1-e Hilbert modular form 2.2.21.1-1323.1-g $1 + T^{2} + 4 T^{4}$ $1$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1$
4-618608-1.1-c1e2-0-14 Elliptic curve 2.2.41.1-368.7-e Elliptic curve 2.2.41.1-368.10-e Hilbert modular form 2.2.41.1-368.7-e Hilbert modular form 2.2.41.1-368.10-e $1 + T + 2 T^{2}$ $1 - 4 T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 6 T^{2} + 49 T^{4}$
4-635216-1.1-c1e2-0-2 Bianchi modular form 2.0.4.1-39701.3-a Bianchi modular form 2.0.4.1-39701.4-a Elliptic curve 2.0.4.1-39701.3-a Elliptic curve 2.0.4.1-39701.4-a $1 - T + 2 T^{2}$ $1 - 4 T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 9 T^{2} + 49 T^{4}$
4-636448-1.1-c1e2-0-0 Bianchi modular form 2.0.4.1-39778.1-a Bianchi modular form 2.0.4.1-39778.2-a Elliptic curve 2.0.4.1-39778.1-a Elliptic curve 2.0.4.1-39778.2-a $1 - T$ $( 1 - 2 T + 3 T^{2} )( 1 + 2 T + 3 T^{2} )$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - T^{2} + 49 T^{4}$
4-638208-1.1-c1e2-0-13 Bianchi modular form 2.0.4.1-39888.1-d Bianchi modular form 2.0.4.1-39888.2-c Elliptic curve 2.0.4.1-39888.1-d Elliptic curve 2.0.4.1-39888.2-c $1$ $( 1 - T )( 1 + T )$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $( 1 - 3 T + 7 T^{2} )( 1 + 3 T + 7 T^{2} )$
4-643072-1.1-c1e2-0-1 Bianchi modular form 2.0.4.1-40192.1-f Bianchi modular form 2.0.4.1-40192.2-f Elliptic curve 2.0.4.1-40192.1-f Elliptic curve 2.0.4.1-40192.2-f $1$ $1 + T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - 4 T^{2} + 49 T^{4}$
4-650916-1.1-c1e2-0-6 Elliptic curve 2.2.21.1-1476.1-a Elliptic curve 2.2.21.1-1476.2-a Hilbert modular form 2.2.21.1-1476.1-a Hilbert modular form 2.2.21.1-1476.2-a $( 1 - T )( 1 + T )$ $1$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - 3 T + 7 T^{2}$
4-655168-1.1-c1e2-0-0 Bianchi modular form 2.0.4.1-40948.2-a Bianchi modular form 2.0.4.1-40948.3-a Elliptic curve 2.0.4.1-40948.2-a Elliptic curve 2.0.4.1-40948.3-a $1$ $1 + 4 T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 2 T^{2} + 49 T^{4}$
4-667233-1.1-c1e2-0-0 Elliptic curve 2.2.21.1-1513.2-c Elliptic curve 2.2.21.1-1513.3-c Hilbert modular form 2.2.21.1-1513.2-c Hilbert modular form 2.2.21.1-1513.3-c $( 1 - T + 2 T^{2} )( 1 + T + 2 T^{2} )$ $1 - T + 3 T^{2}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 5 T + 7 T^{2}$
4-686637-1.1-c1e2-0-2 Elliptic curve 2.2.21.1-1557.1-a Elliptic curve 2.2.21.1-1557.2-a Hilbert modular form 2.2.21.1-1557.1-a Hilbert modular form 2.2.21.1-1557.2-a $1 - 3 T^{2} + 4 T^{4}$ $1$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - 2 T + 7 T^{2}$
4-696592-1.1-c1e2-0-0 Bianchi modular form 2.0.4.1-43537.4-a Bianchi modular form 2.0.4.1-43537.5-a Elliptic curve 2.0.4.1-43537.4-a Elliptic curve 2.0.4.1-43537.5-a $1 + 2 T + 2 T^{2}$ $1 + T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - 13 T^{2} + 49 T^{4}$
4-712448-1.1-c1e2-0-1 Bianchi modular form 2.0.11.1-5888.1-c Bianchi modular form 2.0.11.1-5888.2-f Elliptic curve 2.0.11.1-5888.1-c Elliptic curve 2.0.11.1-5888.2-f $1$ $( 1 - T + 3 T^{2} )( 1 + 2 T + 3 T^{2} )$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - 13 T^{2} + 49 T^{4}$
4-712448-1.1-c1e2-0-5 Bianchi modular form 2.0.11.1-5888.1-f Bianchi modular form 2.0.11.1-5888.2-e Elliptic curve 2.0.11.1-5888.1-f Elliptic curve 2.0.11.1-5888.2-e $1$ $( 1 - 2 T + 3 T^{2} )( 1 + T + 3 T^{2} )$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - 13 T^{2} + 49 T^{4}$
4-717264-1.1-c1e2-0-0 Bianchi modular form 2.0.4.1-44829.2-a Bianchi modular form 2.0.4.1-44829.3-a Elliptic curve 2.0.4.1-44829.2-a Elliptic curve 2.0.4.1-44829.3-a $1 - T + 2 T^{2}$ $( 1 - T )( 1 + T )$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 8 T^{2} + 49 T^{4}$
4-732511-1.1-c1e2-0-3 Elliptic curve 2.2.29.1-871.2-d Elliptic curve 2.2.29.1-871.3-d Hilbert modular form 2.2.29.1-871.2-d Hilbert modular form 2.2.29.1-871.3-d $( 1 - T + 2 T^{2} )( 1 + T + 2 T^{2} )$ $1 - 4 T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $( 1 - 3 T + 7 T^{2} )( 1 + T + 7 T^{2} )$
4-744012-1.1-c1e2-0-4 Elliptic curve 2.2.249.1-12.1-a Elliptic curve 2.2.249.1-12.1-b Hilbert modular form 2.2.249.1-12.1-a Hilbert modular form 2.2.249.1-12.1-b $( 1 - T )( 1 + T )$ $1 - T$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $( 1 - 3 T + 7 T^{2} )( 1 + 4 T + 7 T^{2} )$
4-759456-1.1-c1e2-0-1 Bianchi modular form 2.0.4.1-47466.1-c Bianchi modular form 2.0.4.1-47466.2-c Elliptic curve 2.0.4.1-47466.1-c Elliptic curve 2.0.4.1-47466.2-c $1 - T$ $1$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $( 1 - 4 T + 7 T^{2} )( 1 + 4 T + 7 T^{2} )$
4-762048-1.1-c1e2-0-11 Elliptic curve 2.2.21.1-1728.1-a Elliptic curve 2.2.21.1-1728.1-b Hilbert modular form 2.2.21.1-1728.1-a Hilbert modular form 2.2.21.1-1728.1-b $1$ $1$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - T + 7 T^{2}$
4-790528-1.1-c1e2-0-2 Bianchi modular form 2.0.4.1-49408.1-e Bianchi modular form 2.0.4.1-49408.2-e Elliptic curve 2.0.4.1-49408.1-e Elliptic curve 2.0.4.1-49408.2-e $1$ $1 + T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + T^{2} + 49 T^{4}$
4-792429-1.1-c1e2-0-2 Bianchi modular form 2.0.11.1-6549.4-b Bianchi modular form 2.0.11.1-6549.5-b Elliptic curve 2.0.11.1-6549.4-b Elliptic curve 2.0.11.1-6549.5-b $1 + 2 T^{2} + 4 T^{4}$ $( 1 - T )( 1 - 2 T + 3 T^{2} )$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $( 1 - 3 T + 7 T^{2} )( 1 + 3 T + 7 T^{2} )$
4-799264-1.1-c1e2-0-0 Bianchi modular form 2.0.4.1-49954.1-a Bianchi modular form 2.0.4.1-49954.2-a Elliptic curve 2.0.4.1-49954.1-a Elliptic curve 2.0.4.1-49954.2-a $1 + T$ $1 - 4 T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + T^{2} + 49 T^{4}$
4-809676-1.1-c1e2-0-2 Elliptic curve 2.2.21.1-1836.1-a Elliptic curve 2.2.21.1-1836.2-a Hilbert modular form 2.2.21.1-1836.1-a Hilbert modular form 2.2.21.1-1836.2-a $( 1 - T )( 1 + T )$ $1$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + 5 T + 7 T^{2}$
4-814527-1.1-c1e2-0-1 Elliptic curve 2.2.21.1-1847.1-a Elliptic curve 2.2.21.1-1847.2-a Hilbert modular form 2.2.21.1-1847.1-a Hilbert modular form 2.2.21.1-1847.2-a $1 - 3 T^{2} + 4 T^{4}$ $1 - T + 3 T^{2}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 + T + 7 T^{2}$
4-840987-1.1-c1e2-0-1 Elliptic curve 2.2.21.1-1907.1-a Elliptic curve 2.2.21.1-1907.2-a Hilbert modular form 2.2.21.1-1907.1-a Hilbert modular form 2.2.21.1-1907.2-a $1 - T^{2} + 4 T^{4}$ $1 - T + 3 T^{2}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - 2 T + 7 T^{2}$
4-855712-1.1-c1e2-0-3 Bianchi modular form 2.0.4.1-53482.2-b Bianchi modular form 2.0.4.1-53482.3-b Elliptic curve 2.0.4.1-53482.2-b Elliptic curve 2.0.4.1-53482.3-b $1 + T$ $1 - 5 T^{2} + 9 T^{4}$ $( 1 - 4 T + 5 T^{2} )( 1 - 3 T + 5 T^{2} )$ $1 - 5 T^{2} + 49 T^{4}$
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