data: - - Ciso: 177870hp Clabel: 177870hp6 Cnumber: 6 abc_quality: 1.016290927006418 absD: 13792885084738553062500 adelic_genus: 5 adelic_index: 384 adelic_level: 9240 ainvs: - 1 - 1 - 0 - -16014352 - -24017530676 analytic_rank: 0 bad_primes: - 2 - 3 - 5 - 7 - 11 class_deg: 12 class_size: 8 cm: 0 conductor: 177870 degree: 19906560 elladic_images: - 2.6.0.1 - 3.4.0.1 faltings_height: __RealLiteral__: 0 data: '3.0243551336827940287009747007' prec: 100 faltings_index: 5 faltings_ratio: 6 id: 1146933 iso_nlabel: 44 isogeny_degrees: - 1 - 2 - 3 - 6 jinv: - 2179252305146449 - 66177562500 lmfdb_iso: 177870.bs lmfdb_label: 177870.bs3 lmfdb_number: 3 manin_constant: 1 min_quad_twist_ainvs: - 1 - 0 - 0 - -2701 - -52819 min_quad_twist_disc: 77 modell_images: - 2Cs - 3B modm_images: - 2.6.0.a.1 - 3.4.0.a.1 - 6.24.0.a.1 - 24.48.0.o.2 - 44.12.0-2.a.1.1 - 56.12.0.a.1 - 60.48.0.a.2 - 84.48.0.? - 120.96.1.? - 132.48.0.? - 168.96.1.? - 231.8.0.? - 264.96.0.? - 420.96.1.? - 462.48.0.? - 616.24.0.? - 660.96.0.? - 840.192.5.? - 924.96.0.? - 1320.192.1.? - 1848.192.1.? - 4620.192.1.? - 9240.384.5.? nonmax_primes: - 2 - 3 nonmax_rad: 6 num_bad_primes: 5 num_int_pts: 2 optimality: 0 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '0.85245242275595210411732654000' prec: 103 szpiro_ratio: 5.077472453893285 torsion: 4 torsion_primes: - 2 torsion_structure: - 2 - 2 - - anlist: - 0 - 1 - -1 - -1 - 1 - 1 - 1 - 0 - -1 - 1 - -1 - 0 - -1 - 2 - 0 - -1 - 1 - -6 - -1 - -4 - 1 aplist: - -1 - -1 - 1 - 0 - 0 - 2 - -6 - -4 - 0 - 6 - 4 - 2 - 6 - -8 - 12 - 6 - 12 - 2 - 8 - 0 - 14 - 16 - 12 - -6 - -14 class_deg: 12 class_size: 8 conductor: 177870 id: 781125 isogeny_matrix: - - 1 - 3 - 2 - 4 - 6 - 12 - 12 - 4 - - 3 - 1 - 6 - 12 - 2 - 4 - 4 - 12 - - 2 - 6 - 1 - 2 - 3 - 6 - 6 - 2 - - 4 - 12 - 2 - 1 - 6 - 12 - 3 - 4 - - 6 - 2 - 3 - 6 - 1 - 2 - 2 - 6 - - 12 - 4 - 6 - 12 - 2 - 1 - 4 - 3 - - 12 - 4 - 6 - 3 - 2 - 4 - 1 - 12 - - 4 - 12 - 2 - 4 - 6 - 3 - 12 - 1 lmfdb_iso: 177870.bs trace_hash: 85738222052776587 - - area: __RealLiteral__: 0 data: '0.0023609049799567260415377581930' prec: 110 conductor: 177870 gens: [] heights: [] id: 1146933 lmfdb_label: 177870.bs3 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.075609988161904240662844212173' prec: 107 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '1.8146397158857017759082610921551095711' prec: 130 tamagawa_product: 384 torsion_generators: - - -2612 - 1306 - 1 - - -1996 - 998 - 1 xcoord_integral_points: - -2612 - -1996 - [] - - degree: 2 field: - 58 - -1 - 1 id: 7882010 lmfdb_label: 177870.bs3 torsion: - 2 - 6 - degree: 4 field: - 135 - -34 - 35 - -2 - 1 id: 7882012 lmfdb_label: 177870.bs3 torsion: - 2 - 4 - degree: 4 field: - 214 - 74 - -73 - -2 - 1 id: 7882011 lmfdb_label: 177870.bs3 torsion: - 2 - 4 - degree: 4 field: - 2116 - 0 - 62 - 0 - 1 id: 7882013 lmfdb_label: 177870.bs3 torsion: - 2 - 4 - degree: 6 field: - -6475 - -1785 - 1044 - 101 - -54 - -3 - 1 id: 7882014 lmfdb_label: 177870.bs3 torsion: - 2 - 6 - degree: 8 field: - 375 - -540 - 772 - -496 - 329 - -100 - 38 - -4 - 1 id: 7882016 lmfdb_label: 177870.bs3 torsion: - 2 - 12 - degree: 8 field: - 4096 - 0 - -2700 - 0 - 353 - 0 - 30 - 0 - 1 id: 7882015 lmfdb_label: 177870.bs3 torsion: - 2 - 12 - degree: 8 field: - 2932099 - -251148 - 259756 - -17360 - 9041 - -436 - 150 - -4 - 1 id: 7882017 lmfdb_label: 177870.bs3 torsion: - 2 - 12 - degree: 12 field: - 41925625 - 11557875 - 9946125 - -555590 - 920571 - -67911 - 48272 - -975 - 2175 - -40 - 63 - -3 - 1 id: 7882018 lmfdb_label: 177870.bs3 torsion: - 6 - 6 - degree: 16 field: - 1116025 - 179300 - -942750 - 326480 - 280744 - -194128 - 28558 - 21208 - -15051 - -3344 - 1058 - 176 - 412 - -44 - -20 - 0 - 1 id: 7882019 lmfdb_label: 177870.bs3 torsion: - 4 - 4 - degree: 16 field: - 4619255 - 430240 - 91948 - -991032 - 371344 - 124952 - -6344 - -21416 - -4107 - 3880 - 1556 - -1168 - 134 - 0 - 20 - -8 - 1 id: 7882021 lmfdb_label: 177870.bs3 torsion: - 2 - 8 - degree: 16 field: - 745017025 - 0 - -1759307500 - 0 - 174084340 - 0 - 13676300 - 0 - -950954 - 0 - -53716 - 0 - 3316 - 0 - -76 - 0 - 1 id: 7882020 lmfdb_label: 177870.bs3 torsion: - 2 - 8 - degree: 16 field: - 21597677375596 - -4997695873744 - 2933172755592 - -522269629376 - 193494746424 - -27123498024 - 7523359468 - -799893824 - 182612853 - -14731936 - 3039208 - -190488 - 35910 - -1672 - 276 - -8 - 1 id: 7882022 lmfdb_label: 177870.bs3 torsion: - 2 - 8 - degree: 18 field: - 215155598260 - -18292817880 - 293330246040 - -6069603274 - 132248264202 - 4536580368 - 21674280739 - 1267552137 - 1151599914 - 22524821 - 9151383 - -1333002 - -310294 - -38646 - 9192 - 54 - -87 - -3 - 1 id: 7882023 lmfdb_label: 177870.bs3 torsion: - 2 - 18 - - conductor: 177870 conductor_valuation: 1 discriminant_valuation: 2 id: 4403410 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 177870.bs3 prime: 2 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 177870 conductor_valuation: 1 discriminant_valuation: 2 id: 4403411 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 177870.bs3 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 177870 conductor_valuation: 1 discriminant_valuation: 6 id: 4403412 j_denominator_valuation: 6 kodaira_symbol: 10 lmfdb_label: 177870.bs3 prime: 5 reduction_type: 1 root_number: -1 tamagawa_number: 6 - conductor: 177870 conductor_valuation: 2 discriminant_valuation: 12 id: 4403413 j_denominator_valuation: 6 kodaira_symbol: -10 lmfdb_label: 177870.bs3 prime: 7 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 177870 conductor_valuation: 2 discriminant_valuation: 6 id: 4403414 j_denominator_valuation: 0 kodaira_symbol: -1 lmfdb_label: 177870.bs3 prime: 11 reduction_type: 0 root_number: -1 tamagawa_number: 4 - - adelic_gens: - - 6161 - 3366 - 1540 - 1 - - 9 - 4 - 9224 - 9233 - - 1057 - 3366 - 792 - 4159 - - 3697 - 3366 - 0 - 1 - - 6719 - 0 - 0 - 9239 - - 1 - 0 - 12 - 1 - - 9229 - 12 - 9228 - 13 - - 7987 - 3366 - 5874 - 5875 - - 1 - 12 - 0 - 1 - - 3959 - 2508 - 1914 - 5807 adelic_image: 9240.384.5.? conductor: 177870 id: 2809447 lmfdb_label: 177870.bs3 prime: 0 - conductor: 177870 elladic_image: 2.6.0.1 id: 668447 lmfdb_label: 177870.bs3 modell_image: 2Cs prime: 2 - conductor: 177870 elladic_image: 3.4.0.1 id: 668448 lmfdb_label: 177870.bs3 modell_image: 3B prime: 3 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 177870.bs3 - 177870.bs - 177870.bs3 - 177870.bs3 - 177870.bs3 - 177870.bs3 - 177870.bs3 - 177870.bs tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-22T17:56:16.460512'