data: - - Ciso: 97461b Clabel: 97461b2 Cnumber: 2 abc_quality: 1.0174968332037049 absD: 380036867094225826804683 adelic_genus: 0 adelic_index: 12 adelic_level: 1092 ainvs: - 1 - -1 - 1 - -18731117 - 43055001280 analytic_rank: 1 bad_primes: - 3 - 7 - 13 - 17 class_deg: 2 class_size: 2 cm: 0 conductor: 97461 degree: 13271040 elladic_images: - 2.3.0.1 faltings_height: __RealLiteral__: 0 data: '3.2288788980967675536170487140' prec: 100 faltings_index: 1 faltings_ratio: 2 id: 641677 iso_nlabel: 9 isogeny_degrees: - 1 - 2 jinv: - -313859434290315003 - 164114213839849 lmfdb_iso: 97461.j lmfdb_label: 97461.j2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 1 - -1 - 1 - -382268 - -125415566 min_quad_twist_disc: -7 modell_images: - 2B modm_images: - 2.3.0.a.1 - 6.6.0.a.1 - 364.6.0.? - 1092.12.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 8 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '1.3878209562401324301866164286' prec: 100 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '1.4319646070680286325179384146' prec: 100 szpiro_ratio: 5.44034884468468 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - -1 - 0 - -1 - -4 - 0 - 0 - 3 - 0 - 4 - 0 - 0 - 1 - 0 - 0 - -1 - -1 - 0 - 4 - 4 aplist: - -1 - 0 - -4 - 0 - 0 - 1 - -1 - 4 - -2 - 0 - 8 - 10 - 0 - 4 - 6 - -12 - -6 - -2 - 4 - 8 - 6 - 0 - 10 - 8 - -14 class_deg: 2 class_size: 2 conductor: 97461 id: 426232 isogeny_matrix: - - 1 - 2 - - 2 - 1 lmfdb_iso: 97461.j trace_hash: 978278813144376384 - - area: __RealLiteral__: 0 data: '0.0015683082377218284723129210068' prec: 110 conductor: 97461 gens: - - 2788 - 110399 - 1 heights: - __RealLiteral__: 0 data: '1.3878209562401324301866164286' prec: 100 id: 641677 lmfdb_label: 97461.j2 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.088568722201417565151952118057' prec: 107 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '2.9500206897249113358029808415949684684' prec: 130 tamagawa_product: 96 torsion_generators: - - -20789 - 20785 - 2 xcoord_integral_points: - -5155 - 2606 - 2788 - 1469617 - - id: 641677 iwdata: '11': - 3 - 3 - 0 '13': - 2 - 0 '17': - 1 - 0 '19': - 1 - 0 '2': - 7 - 1 '23': - 1 - 0 '29': - 1 - 1 - 0 '3': a '31': - 1 - 0 '37': - 1 - 0 '41': - 1 - 1 - 0 '43': - 1 - 0 '47': - 1 - 0 '5': - 1 - 0 '7': a iwp0: 0 lmfdb_label: 97461.j2 - - degree: 2 field: - 1 - -1 - 1 id: 4536745 lmfdb_label: 97461.j2 torsion: - 2 - 2 - degree: 4 field: - -12 - 0 - -15 - 0 - 1 id: 4536746 lmfdb_label: 97461.j2 torsion: - 4 - degree: 8 field: - -3 - -165 - 147 - -66 - 15 - -9 - 3 - 0 - 1 id: 4536749 lmfdb_label: 97461.j2 torsion: - 6 - degree: 8 field: - 144 - 0 - -180 - 0 - 237 - 0 - 15 - 0 - 1 id: 4536748 lmfdb_label: 97461.j2 torsion: - 2 - 4 - degree: 8 field: - 4092529 - 0 - 584647 - 0 - 22542 - 0 - -323 - 0 - 1 id: 4536747 lmfdb_label: 97461.j2 torsion: - 2 - 4 - degree: 16 field: - 20449 - 3432 - -1810 - -336 - -2687 - 1935 - 473 - -495 - 385 - -207 - -25 - 45 - -5 - -12 - 14 - -6 - 1 id: 4536751 lmfdb_label: 97461.j2 torsion: - 2 - 6 - degree: 16 field: - 42225318144 - 0 - -13617777024 - 0 - 866446416 - 0 - 44962992 - 0 - -5836860 - 0 - -107784 - 0 - 3156 - 0 - 72 - 0 - 1 id: 4536750 lmfdb_label: 97461.j2 torsion: - 8 - - conductor: 97461 conductor_valuation: 2 discriminant_valuation: 9 id: 2392092 j_denominator_valuation: 0 kodaira_symbol: -3 lmfdb_label: 97461.j2 prime: 3 reduction_type: 0 root_number: 1 tamagawa_number: 2 - conductor: 97461 conductor_valuation: 2 discriminant_valuation: 12 id: 2392093 j_denominator_valuation: 6 kodaira_symbol: -10 lmfdb_label: 97461.j2 prime: 7 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 97461 conductor_valuation: 1 discriminant_valuation: 6 id: 2392094 j_denominator_valuation: 6 kodaira_symbol: 10 lmfdb_label: 97461.j2 prime: 13 reduction_type: 1 root_number: -1 tamagawa_number: 6 - conductor: 97461 conductor_valuation: 1 discriminant_valuation: 2 id: 2392095 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 97461.j2 prime: 17 reduction_type: -1 root_number: 1 tamagawa_number: 2 - - adelic_gens: - - 1 - 0 - 4 - 1 - - 3 - 4 - 8 - 11 - - 1 - 2 - 2 - 5 - - 1 - 4 - 0 - 1 - - 368 - 1 - 727 - 0 - - 821 - 274 - 272 - 819 - - 925 - 4 - 758 - 9 - - 1089 - 4 - 1088 - 5 - - 157 - 4 - 314 - 9 adelic_image: 1092.12.0.? conductor: 97461 id: 2305417 lmfdb_label: 97461.j2 prime: 0 - conductor: 97461 elladic_image: 2.3.0.1 id: 393089 lmfdb_label: 97461.j2 modell_image: 2B prime: 2 - - id: 5070992 lmfdb_iso: 97461.j p: 5 prec: 20 unit: 21597750912826 val: -1 - id: 5070977 lmfdb_iso: 97461.j p: 19 prec: 20 unit: 379089236524592082107238 val: 1 - id: 5070988 lmfdb_iso: 97461.j p: 23 prec: 20 unit: 36589516096075756080872991 val: 1 - id: 5070982 lmfdb_iso: 97461.j p: 31 prec: 20 unit: 19203484004687171561584530316 val: 1 - id: 5070980 lmfdb_iso: 97461.j p: 37 prec: 20 unit: 28232748114652211717260575692 val: 1 - id: 5070984 lmfdb_iso: 97461.j p: 43 prec: 20 unit: 7896272008089556736967834934986 val: 1 - id: 5070985 lmfdb_iso: 97461.j p: 47 prec: 20 unit: 53013280820906944748839730731808 val: 1 - id: 5070987 lmfdb_iso: 97461.j p: 53 prec: 20 unit: 264177656589325015401652157796165 val: 1 - id: 5070990 lmfdb_iso: 97461.j p: 59 prec: 20 unit: 4230023943542226764385781185621135 val: 1 - id: 5070991 lmfdb_iso: 97461.j p: 61 prec: 20 unit: 369506490679807816037344203338197 val: 1 - id: 5070979 lmfdb_iso: 97461.j p: 67 prec: 20 unit: 37735756287149126371715153540353390 val: 1 - id: 5070981 lmfdb_iso: 97461.j p: 71 prec: 20 unit: 107316832997505516150451370468399866 val: 1 - id: 5070983 lmfdb_iso: 97461.j p: 73 prec: 20 unit: 15545585187054421257288407141397589 val: 1 - id: 5070986 lmfdb_iso: 97461.j p: 83 prec: 20 unit: 2651538042473113721012253250025140717 val: 1 - id: 5070989 lmfdb_iso: 97461.j p: 89 prec: 20 unit: 7684612514631349265619382263366292649 val: 1 - id: 5070978 lmfdb_iso: 97461.j p: 97 prec: 20 unit: 46443122670534594248425527187602773851 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 97461.j2 - 97461.j - 97461.j2 - 97461.j2 - 97461.j2 - 97461.j2 - 97461.j2 - 97461.j tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-14T17:42:10.976145'