data: - - Ciso: 32487i Clabel: 32487i1 Cnumber: 1 abc_quality: 0.8929351079060758 absD: 4706051648571 adelic_genus: 0 adelic_index: 2 adelic_level: 182 ainvs: - 0 - -1 - 1 - -702 - 104852 analytic_rank: 2 bad_primes: - 3 - 7 - 13 - 17 class_deg: 1 class_size: 1 cm: 0 conductor: 32487 degree: 105984 elladic_images: [] faltings_height: __RealLiteral__: 0 data: '1.1111144493925204616629758621' prec: 100 faltings_index: 0 faltings_ratio: 1 id: 216275 iso_nlabel: 0 isogeny_degrees: - 1 jinv: - -325660672 - 40000779 lmfdb_iso: 32487.a lmfdb_label: 32487.a1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 0 - 1 - 1 - -14 - -310 min_quad_twist_disc: -7 modell_images: [] modm_images: - 182.2.0.? nonmax_primes: [] nonmax_rad: 1 num_bad_primes: 4 num_int_pts: 32 optimality: 1 potential_good_reduction: false rank: 2 regulator: __RealLiteral__: 0 data: '0.099161187770099366668695682584' prec: 107 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '0.13815937486486380911029949038' prec: 103 szpiro_ratio: 3.526876318106665 torsion: 1 torsion_primes: [] torsion_structure: [] - - anlist: - 0 - 1 - -2 - -1 - 2 - -3 - 2 - 0 - 0 - 1 - 6 - -6 - -2 - 1 - 0 - 3 - -4 - 1 - -2 - 1 - -6 aplist: - -2 - -1 - -3 - 0 - -6 - 1 - 1 - 1 - -5 - -1 - -1 - 2 - 6 - -5 - -7 - 5 - -4 - -10 - -8 - -10 - -7 - -11 - 9 - 5 - 13 class_deg: 1 class_size: 1 conductor: 32487 id: 136459 isogeny_matrix: - - 1 lmfdb_iso: 32487.a trace_hash: 1295265223762678770 - - area: __RealLiteral__: 0 data: '0.10836729969839662234643404679' prec: 103 conductor: 32487 gens: - - 96 - 955 - 1 - - 47 - 416 - 1 heights: - __RealLiteral__: 0 data: '0.16363152227611104561417852688' prec: 103 - __RealLiteral__: 0 data: '0.62143516255980567073602138201' prec: 103 id: 216275 lmfdb_label: 32487.a1 ngens: 2 rank_bounds: - 2 - 2 real_period: __RealLiteral__: 0 data: '0.63291503084419577836096063563' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '3.0125090983708574328419968009627483267' prec: 130 tamagawa_product: 48 torsion_generators: [] xcoord_integral_points: - -51 - -44 - -21 - -8 - 5 - 30 - 44 - 47 - 96 - 161 - 537 - 642 - 1860 - 2504 - 2631 - 73351 - - id: 216275 iwdata: '11': - 2 - 0 '13': - 3 - 0 '17': - 3 - 0 '19': - 2 - 0 '2': - 23 - 8 - 0 '23': - 2 - 0 '29': - 2 - 0 '3': - 2 - 0 '31': - 2 - 0 '37': - 2 - 0 '41': - 2 - 0 '43': - 2 - 0 '47': - 2 - 0 '5': - 2 - 0 '7': a iwp0: 0 lmfdb_label: 32487.a1 - - degree: 3 field: - -2 - 4 - 0 - 1 id: 1617273 lmfdb_label: 32487.a1 torsion: - 2 - degree: 6 field: - 9 - -33 - 44 - -23 - 14 - -3 - 1 id: 1617274 lmfdb_label: 32487.a1 torsion: - 2 - 2 - degree: 8 field: - -481 - -263 - 182 - 161 - -77 - -7 - 7 - -4 - 1 id: 1617275 lmfdb_label: 32487.a1 torsion: - 3 - degree: 12 field: - -47613 - -37006 - 29760 - 3308 - -7649 - 6112 - -1452 - 580 - -241 - 50 - 0 - -4 - 1 id: 1617276 lmfdb_label: 32487.a1 torsion: - 4 - - conductor: 32487 conductor_valuation: 1 discriminant_valuation: 2 id: 759834 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 32487.a1 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 32487 conductor_valuation: 2 discriminant_valuation: 7 id: 759835 j_denominator_valuation: 1 kodaira_symbol: -5 lmfdb_label: 32487.a1 prime: 7 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 32487 conductor_valuation: 1 discriminant_valuation: 3 id: 759836 j_denominator_valuation: 3 kodaira_symbol: 7 lmfdb_label: 32487.a1 prime: 13 reduction_type: 1 root_number: -1 tamagawa_number: 3 - conductor: 32487 conductor_valuation: 1 discriminant_valuation: 2 id: 759837 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 32487.a1 prime: 17 reduction_type: 1 root_number: -1 tamagawa_number: 2 - - adelic_gens: - - 181 - 2 - 180 - 3 - - 1 - 1 - 181 - 0 - - 1 - 2 - 0 - 1 - - 1 - 0 - 2 - 1 - - 15 - 2 - 15 - 3 - - 157 - 2 - 157 - 3 adelic_image: 182.2.0.? conductor: 32487 id: 1881126 lmfdb_label: 32487.a1 prime: 0 - - id: 1583749 lmfdb_iso: 32487.a p: 5 prec: 20 unit: 8132371547836 val: 2 - id: 1583756 lmfdb_iso: 32487.a p: 11 prec: 20 unit: 4195647331791928019 val: 2 - id: 1583758 lmfdb_iso: 32487.a p: 19 prec: 20 unit: 90318504560343024056733 val: 0 - id: 1583761 lmfdb_iso: 32487.a p: 23 prec: 20 unit: 49128907302221449932625150 val: 2 - id: 1583754 lmfdb_iso: 32487.a p: 29 prec: 20 unit: 3352706717852751473049750834 val: 2 - id: 1583751 lmfdb_iso: 32487.a p: 31 prec: 20 unit: 5829418210037070954530066984 val: 2 - id: 1583765 lmfdb_iso: 32487.a p: 37 prec: 20 unit: 140071048366998725480239420298 val: 2 - id: 1583752 lmfdb_iso: 32487.a p: 41 prec: 20 unit: 1169188236393059268643408678536 val: 2 - id: 1583753 lmfdb_iso: 32487.a p: 43 prec: 20 unit: 10607779765838155417302222636555 val: 2 - id: 1583763 lmfdb_iso: 32487.a p: 47 prec: 20 unit: 25898722620817872051462195061093 val: 2 - id: 1583759 lmfdb_iso: 32487.a p: 53 prec: 20 unit: 367072331608641030417173635549271 val: 2 - id: 1583757 lmfdb_iso: 32487.a p: 59 prec: 20 unit: 4398079903820490586135094191219026 val: 2 - id: 1583764 lmfdb_iso: 32487.a p: 61 prec: 20 unit: 8082276776151658420607840680327655 val: 2 - id: 1583748 lmfdb_iso: 32487.a p: 67 prec: 20 unit: 20684222650763924443652612641843952 val: 2 - id: 1583750 lmfdb_iso: 32487.a p: 71 prec: 20 unit: 132376467474448663383370660270603304 val: 2 - id: 1583760 lmfdb_iso: 32487.a p: 73 prec: 20 unit: 58734502623064241127077958099125251 val: 2 - id: 1583755 lmfdb_iso: 32487.a p: 79 prec: 20 unit: 253304997162716079696353229165132145 val: 2 - id: 1583747 lmfdb_iso: 32487.a p: 83 prec: 20 unit: 1039246893003769930960285210157584483 val: 2 - id: 1583762 lmfdb_iso: 32487.a p: 89 prec: 20 unit: 2646182545009314997155811059540395320 val: 2 - id: 1583746 lmfdb_iso: 32487.a p: 97 prec: 20 unit: 42688721846483935089099773950978722171 val: 2 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 32487.a1 - 32487.a - 32487.a1 - 32487.a1 - 32487.a1 - 32487.a1 - 32487.a1 - 32487.a tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-03-28T12:34:08.689293'