data: - - Ciso: 27584f Clabel: 27584f1 Cnumber: 1 abc_quality: 0.883584634040504 absD: 462782726144 adelic_genus: 0 adelic_index: 16 adelic_level: 10344 ainvs: - 0 - -1 - 0 - 511 - 32257 analytic_rank: 1 bad_primes: - 2 - 431 class_deg: 3 class_size: 2 cm: 0 conductor: 27584 degree: 27648 elladic_images: - 3.4.0.1 faltings_height: __RealLiteral__: 0 data: '0.91838256187421556993352795969' prec: 103 faltings_index: 0 faltings_ratio: 1 id: 182849 iso_nlabel: 12 isogeny_degrees: - 1 - 3 jinv: - 56181887 - 1765376 lmfdb_iso: 27584.m lmfdb_label: 27584.m2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 1 - 0 - 0 - 8 - 64 min_quad_twist_disc: 8 modell_images: - 3B modm_images: - 3.4.0.a.1 - 24.8.0-3.a.1.2 - 862.2.0.? - 2586.8.0.? - 10344.16.0.? nonmax_primes: - 3 nonmax_rad: 3 num_bad_primes: 2 num_int_pts: 0 optimality: 1 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '1.9553224763098897562462486780' prec: 100 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '-0.12133820896570239419232022250' prec: 107 szpiro_ratio: 3.3541989740836633 torsion: 1 torsion_primes: [] torsion_structure: [] - - anlist: - 0 - 1 - 0 - -1 - 0 - 3 - 0 - 2 - 0 - -2 - 0 - -3 - 0 - -2 - 0 - -3 - 0 - 6 - 0 - -5 - 0 aplist: - 0 - -1 - 3 - 2 - -3 - -2 - 6 - -5 - 3 - -9 - -4 - 4 - -6 - 10 - 6 - -3 - 9 - -2 - 10 - -6 - 2 - -4 - -12 - 6 - -13 class_deg: 3 class_size: 2 conductor: 27584 id: 114345 isogeny_matrix: - - 1 - 3 - - 3 - 1 lmfdb_iso: 27584.m trace_hash: 816582696606162617 - - area: __RealLiteral__: 0 data: '0.15933201269019044269797241234' prec: 103 conductor: 27584 gens: - - -119 - 4096 - 3 heights: - __RealLiteral__: 0 data: '1.9553224763098897562462486780' prec: 100 id: 182849 lmfdb_label: 27584.m2 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.70576543031129411647696236699' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '5.5199960355607781590406487773664384459' prec: 130 tamagawa_product: 4 torsion_generators: [] xcoord_integral_points: [] - - id: 182849 iwdata: '11': - 1 - 0 '13': - 1 - 0 '17': - 1 - 0 '19': - 1 - 0 '2': a '23': - 1 - 0 '29': - 1 - 0 '3': - 1 - 0 '31': - 1 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 1 - 0 '431': - 1 - 0 '47': - 1 - 0 '5': - 3 - 0 '7': - 3 - 0 iwp0: 0 lmfdb_label: 27584.m2 - - degree: 2 field: - -2 - 0 - 1 id: 1379829 lmfdb_label: 27584.m2 torsion: - 3 - degree: 3 field: - -8 - -1 - 0 - 1 id: 1379830 lmfdb_label: 27584.m2 torsion: - 2 - degree: 6 field: - 62 - -80 - 13 - -16 - -8 - 0 - 1 id: 1379833 lmfdb_label: 27584.m2 torsion: - 6 - degree: 6 field: - 164 - -208 - 123 - -14 - 0 - -2 - 1 id: 1379831 lmfdb_label: 27584.m2 torsion: - 2 - 2 - degree: 6 field: - 55296 - 0 - -1148 - 0 - 2 - 0 - 1 id: 1379832 lmfdb_label: 27584.m2 torsion: - 3 - degree: 12 field: - -110336 - 0 - 208384 - 0 - 78652 - 0 - 11840 - 0 - 413 - 0 - 0 - 0 - 1 id: 1379834 lmfdb_label: 27584.m2 torsion: - 4 - degree: 12 field: - 55652 - -14032 - 37380 - -39056 - 28017 - -11580 - 3100 - -1068 - 322 - 12 - -8 - -4 - 1 id: 1379836 lmfdb_label: 27584.m2 torsion: - 2 - 6 - degree: 12 field: - 52162588 - -11881248 - -2806018 - 146064 - -91965 - -168 - 15670 - 3384 - -543 - -12 - 8 - 0 - 1 id: 1379835 lmfdb_label: 27584.m2 torsion: - 3 - 3 - degree: 18 field: - -85178948 - 360829560 - -317228244 - 18560384 - 28622124 - -27349992 - 37753112 - 1716816 - -2099796 - 560552 - -57204 - 55488 - -13885 - 1914 - -225 - -116 - 15 - -6 - 1 id: 1379837 lmfdb_label: 27584.m2 torsion: - 9 - degree: 18 field: - 36949867936 - 473147200 - 22686893968 - 359780128 - 4566708576 - 302710272 - 225033864 - 64955184 - -23945542 - 2333844 - -1685131 - -215782 - 73297 - -11194 - 2820 - -414 - 71 - -6 - 1 id: 1379838 lmfdb_label: 27584.m2 torsion: - 6 - - conductor: 27584 conductor_valuation: 6 discriminant_valuation: 30 id: 636395 j_denominator_valuation: 12 kodaira_symbol: -24 lmfdb_label: 27584.m2 prime: 2 reduction_type: 0 root_number: 1 tamagawa_number: 4 - conductor: 27584 conductor_valuation: 1 discriminant_valuation: 1 id: 636396 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 27584.m2 prime: 431 reduction_type: -1 root_number: 1 tamagawa_number: 1 - - adelic_gens: - - 4 - 3 - 9 - 7 - - 9912 - 8183 - 8189 - 8619 - - 7763 - 10338 - 7764 - 10337 - - 10339 - 6 - 10338 - 7 - - 7757 - 0 - 0 - 10343 - - 1 - 6 - 0 - 1 - - 7 - 6 - 21 - 19 - - 5171 - 0 - 0 - 10343 - - 3 - 4 - 8 - 11 - - 1 - 0 - 6 - 1 adelic_image: 10344.16.0.? conductor: 27584 id: 1847843 lmfdb_label: 27584.m2 prime: 0 - conductor: 27584 elladic_image: 3.4.0.1 id: 124721 lmfdb_label: 27584.m2 modell_image: 3B prime: 3 - - id: 1320779 lmfdb_iso: 27584.m p: 5 prec: 20 unit: 2439186186179 val: 2 - id: 1320780 lmfdb_iso: 27584.m p: 7 prec: 20 unit: 956312816647659 val: 2 - id: 1320781 lmfdb_iso: 27584.m p: 11 prec: 20 unit: 19585530929032756943 val: 1 - id: 1320782 lmfdb_iso: 27584.m p: 13 prec: 20 unit: 173756659149329431238 val: 1 - id: 1320783 lmfdb_iso: 27584.m p: 17 prec: 20 unit: 145807983552181649508507 val: 1 - id: 1320784 lmfdb_iso: 27584.m p: 19 prec: 20 unit: 711793194742055906090548 val: 1 - id: 1320785 lmfdb_iso: 27584.m p: 23 prec: 20 unit: 56190830110255144290158668 val: 1 - id: 1320786 lmfdb_iso: 27584.m p: 29 prec: 20 unit: 742726817632670103120059827 val: 1 - id: 1320787 lmfdb_iso: 27584.m p: 31 prec: 20 unit: 4833383102189812245395006149 val: 1 - id: 1320788 lmfdb_iso: 27584.m p: 37 prec: 20 unit: 138798508025797883139855437864 val: 1 - id: 1320789 lmfdb_iso: 27584.m p: 41 prec: 20 unit: 1731979576796490639606306698083 val: 1 - id: 1320790 lmfdb_iso: 27584.m p: 43 prec: 20 unit: 8085331032707738572478732010284 val: 1 - id: 1320791 lmfdb_iso: 27584.m p: 47 prec: 20 unit: 38130181203734730533505902470134 val: 1 - id: 1320792 lmfdb_iso: 27584.m p: 53 prec: 20 unit: 36001416321880000954565048932975 val: 1 - id: 1320793 lmfdb_iso: 27584.m p: 59 prec: 20 unit: 1947716536616413960170958246625876 val: 1 - id: 1320794 lmfdb_iso: 27584.m p: 61 prec: 20 unit: 7270402166187178353141825471257423 val: 1 - id: 1320795 lmfdb_iso: 27584.m p: 67 prec: 20 unit: 8163787060800961461048495740746055 val: 1 - id: 1320796 lmfdb_iso: 27584.m p: 71 prec: 20 unit: 131981181821704151517847519260603322 val: 1 - id: 1320797 lmfdb_iso: 27584.m p: 73 prec: 20 unit: 212892245186263471702444798064593199 val: 1 - id: 1320798 lmfdb_iso: 27584.m p: 79 prec: 20 unit: 901481293593327771312461475696069179 val: 1 - id: 1320799 lmfdb_iso: 27584.m p: 83 prec: 20 unit: 2373481579878150593845174547784989796 val: 1 - id: 1320800 lmfdb_iso: 27584.m p: 89 prec: 20 unit: 7748662340473644637349862543718072644 val: 1 - id: 1320801 lmfdb_iso: 27584.m p: 97 prec: 20 unit: 7511955450206058502502447185978948784 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 27584.m2 - 27584.m - 27584.m2 - 27584.m2 - 27584.m2 - 27584.m2 - 27584.m2 - 27584.m tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-21T22:11:53.488568'