data: - - Ciso: 327990bf Clabel: 327990bf3 Cnumber: 3 abc_quality: 1.0346538273212997 absD: 947156375785454331494400 adelic_genus: 1 adelic_index: 96 adelic_level: 45240 ainvs: - 1 - 1 - 1 - -44890495 - -124895350555 analytic_rank: 0 bad_primes: - 2 - 3 - 5 - 13 - 29 class_deg: 6 class_size: 4 cm: 0 conductor: 327990 degree: 54432000 elladic_images: - 2.3.0.1 - 3.4.0.1 faltings_height: __RealLiteral__: 0 data: '3.3424603782942056635962388733' prec: 100 faltings_index: 2 faltings_ratio: 3 id: 2056826 iso_nlabel: 31 isogeny_degrees: - 1 - 2 - 3 - 6 jinv: - -16818951115904497561 - 1592332281446400 lmfdb_iso: 327990.bf lmfdb_label: 327990.bf2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 1 - 0 - 1 - -53378 - -5124652 min_quad_twist_disc: 29 modell_images: - 2B - 3B modm_images: - 2.3.0.a.1 - 3.4.0.a.1 - 6.12.0.a.1 - 40.6.0.c.1 - 78.24.0.? - 87.8.0.? - 120.24.0.? - 174.24.0.? - 1560.48.1.? - 2262.48.0.? - 3480.48.0.? - 45240.96.1.? nonmax_primes: - 2 - 3 nonmax_rad: 6 num_bad_primes: 5 num_int_pts: 1 optimality: 0 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '1.6588124633009686500046028571' prec: 100 szpiro_ratio: 5.088234086857243 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 1 - -1 - 1 - 1 - -1 - 2 - 1 - 1 - 1 - 0 - -1 - 1 - 2 - -1 - 1 - 0 - 1 - -2 - 1 aplist: - 1 - -1 - 1 - 2 - 0 - 1 - 0 - -2 - -6 - 0 - -8 - -2 - -6 - 4 - 0 - -6 - 0 - -14 - -4 - 0 - 4 - 16 - -12 - 6 - 4 class_deg: 6 class_size: 4 conductor: 327990 id: 1431578 isogeny_matrix: - - 1 - 2 - 3 - 6 - - 2 - 1 - 6 - 3 - - 3 - 6 - 1 - 2 - - 6 - 3 - 2 - 1 lmfdb_iso: 327990.bf trace_hash: 1965997947456458366 - - area: __RealLiteral__: 0 data: '0.0012496137735300431806604033657' prec: 110 conductor: 327990 gens: [] heights: [] id: 2056826 lmfdb_label: 327990.bf2 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.029006795626053223595949281220' prec: 107 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '2.6106116063447901236354353097773325400' prec: 130 tamagawa_product: 360 torsion_generators: - - 7803 - -3902 - 1 xcoord_integral_points: - 7803 - [] - - degree: 2 field: - 10 - -1 - 1 id: 13770811 lmfdb_label: 327990.bf2 torsion: - 2 - 2 - degree: 2 field: - 22 - -1 - 1 id: 13770812 lmfdb_label: 327990.bf2 torsion: - 6 - degree: 4 field: - -2010 - -160 - 161 - -2 - 1 id: 13770813 lmfdb_label: 327990.bf2 torsion: - 4 - degree: 4 field: - 898 - 157 - -31 - -1 - 1 id: 13770814 lmfdb_label: 327990.bf2 torsion: - 2 - 6 - degree: 6 field: - -208 - -372 - 141 - 31 - -18 - -3 - 1 id: 13770815 lmfdb_label: 327990.bf2 torsion: - 6 - degree: 8 field: - 363376 - -109360 - 53198 - -7356 - 2879 - -204 - 86 - -4 - 1 id: 13770818 lmfdb_label: 327990.bf2 torsion: - 12 - degree: 8 field: - 4297540 - -2064244 - 398840 - 650 - 25411 - 1072 - -148 - -2 - 1 id: 13770816 lmfdb_label: 327990.bf2 torsion: - 2 - 4 - degree: 8 field: - 7952346 - 17292 - 390961 - 19822 - 9665 - 88 - 131 - -2 - 1 id: 13770817 lmfdb_label: 327990.bf2 torsion: - 2 - 4 - degree: 12 field: - 43264 - 77376 - 167712 - -39556 - 27669 - -8397 - 1967 - -84 - 276 - -8 - 27 - -3 - 1 id: 13770819 lmfdb_label: 327990.bf2 torsion: - 3 - 6 - degree: 12 field: - 24032944 - -4790760 - 1471440 - 171650 - 271113 - 68610 - 8945 - 0 - 942 - -20 - 15 - 0 - 1 id: 13770820 lmfdb_label: 327990.bf2 torsion: - 2 - 6 - degree: 16 field: - 1964468376 - 455047632 - 211117833 - -749051694 - 921175723 - -441550164 - 103745321 - -16079466 - 4317795 - -1098888 - 170899 - -24930 - 5721 - -756 - 59 - -6 - 1 id: 13770823 lmfdb_label: 327990.bf2 torsion: - 2 - 12 - degree: 16 field: - 112386781984 - -8228638016 - 11682918648 - -7142086360 - 4169894468 - -761290128 - 326572714 - -65839382 - 20842569 - -3068618 - 762976 - -84546 - 16730 - -1246 - 198 - -8 - 1 id: 13770822 lmfdb_label: 327990.bf2 torsion: - 2 - 12 - degree: 16 field: - 23321239558500 - 12338533116000 - 2056839246800 - 146335113600 - -10149063940 - -9140909600 - -1280843440 - -72147760 - -5937739 - 2820232 - 340188 - 28744 - 1790 - -856 - -12 - -8 - 1 id: 13770821 lmfdb_label: 327990.bf2 torsion: - 8 - degree: 18 field: - 4008531819664 - -922409933760 - -760273539984 - -62766158100 - 192935793672 - -121924539324 - 52963146312 - -12670733826 - 2980608282 - -401817071 - 66574143 - -5786946 - 1018482 - -90936 - 17676 - -1356 - 216 - -9 - 1 id: 13770824 lmfdb_label: 327990.bf2 torsion: - 18 - - conductor: 327990 conductor_valuation: 1 discriminant_valuation: 30 id: 8121282 j_denominator_valuation: 30 kodaira_symbol: 34 lmfdb_label: 327990.bf2 prime: 2 reduction_type: 1 root_number: -1 tamagawa_number: 30 - conductor: 327990 conductor_valuation: 1 discriminant_valuation: 3 id: 8121283 j_denominator_valuation: 3 kodaira_symbol: 7 lmfdb_label: 327990.bf2 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 327990 conductor_valuation: 1 discriminant_valuation: 2 id: 8121284 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 327990.bf2 prime: 5 reduction_type: 1 root_number: -1 tamagawa_number: 2 - conductor: 327990 conductor_valuation: 1 discriminant_valuation: 3 id: 8121285 j_denominator_valuation: 3 kodaira_symbol: 7 lmfdb_label: 327990.bf2 prime: 13 reduction_type: 1 root_number: -1 tamagawa_number: 3 - conductor: 327990 conductor_valuation: 2 discriminant_valuation: 6 id: 8121286 j_denominator_valuation: 0 kodaira_symbol: -1 lmfdb_label: 327990.bf2 prime: 29 reduction_type: 0 root_number: 1 tamagawa_number: 2 - - adelic_gens: - - 38890 - 23403 - 5133 - 20272 - - 34395 - 25288 - 24998 - 22157 - - 1 - 0 - 12 - 1 - - 1 - 6 - 6 - 37 - - 18097 - 3132 - 19662 - 18793 - - 11 - 2 - 45190 - 45231 - - 1 - 12 - 0 - 1 - - 45229 - 12 - 45228 - 13 - - 22621 - 3132 - 1566 - 18793 - - 32510 - 23403 - 493 - 20272 - - 7799 - 0 - 0 - 45239 adelic_image: 45240.96.1.? conductor: 327990 id: 3718103 lmfdb_label: 327990.bf2 prime: 0 - conductor: 327990 elladic_image: 2.3.0.1 id: 1144067 lmfdb_label: 327990.bf2 modell_image: 2B prime: 2 - conductor: 327990 elladic_image: 3.4.0.1 id: 1144068 lmfdb_label: 327990.bf2 modell_image: 3B prime: 3 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 327990.bf2 - 327990.bf - 327990.bf2 - 327990.bf2 - 327990.bf2 - 327990.bf2 - 327990.bf2 - 327990.bf tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-06-02T04:57:09.068965'