Elliptic curve data - 139425.p1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '139425j', 'Clabel': '139425j2', 'Cnumber': 2, 'abc_quality': 0.9920503162130363, 'absD': 2716029157619187220078125, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 30030, 'ainvs': [1, 0, 0, -813316813, -8927377641508], 'analytic_rank': 1, 'bad_primes': [3, 5, 11, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 139425, 'degree': 61641216, 'elladic_images': ['7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7642934331299645471499370452', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 15, 'isogeny_degrees': [1, 7], 'jinv': [4668056654282578921, 213092214885], 'lmfdb_iso': '139425.p', 'lmfdb_label': '139425.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -192501, -32587482], 'min_quad_twist_disc': 65, 'modell_images': ['7B'], 'modm_images': ['7.8.0.a.1', '35.16.0-7.a.1.2', '91.24.0.?', '330.2.0.?', '455.48.0.?', '462.16.0.?', '2310.32.0.?', '6006.48.0.?', '30030.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4201121462855992680299239213', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 4, 46475], [5, 18, 5577], [7, 2, 4225], [11, 12, 12675], [13, 74, 825]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2496082386052232024805657509', 'prec': 100}, 'szpiro_ratio': 6.1765938737337045, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, -1, 1, -1, 0, -1, 5, 3, 1, 0, 1, -1, 0, -5, 0, -1, 0, -1, -6, 0], 'aplist': [-1, 1, 0, 5, 1, 0, 0, -6, -1, -1, -3, -8, -5, 1, 1, 9, 0, 8, 2, -8, -11, 10, -14, 14, -12], 'class_deg': 7, 'class_size': 2, 'conductor': 139425, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '139425.p', 'trace_hash': 137386171060318208}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.00053749727579701188266276934510', 'prec': 113}, 'conductor': 139425, 'gens': [[-16453, 26789, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.4201121462855992680299239213', 'prec': 100}], 'lmfdb_label': '139425.p1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.028270650829819001718946385865', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7049782547511141780836037049364714793', 'prec': 130}, 'tamagawa_product': 98, 'torsion_generators': [], 'xcoord_integral_points': [-16453]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [2, 0], '5': 'a', '7': [3, 1], '11': [2, 0], '13': 'a', '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '139425.p1'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 6303914
    {'degree': 3, 'field': [12, -30, -1, 1], 'lmfdb_label': '139425.p1', 'torsion': [2]}
  • id: 6303915
    {'degree': 6, 'field': [-624, -468, 403, 129, -62, -3, 1], 'lmfdb_label': '139425.p1', 'torsion': [2, 2]}
  • id: 6303916
    {'degree': 6, 'field': [15471, -4572, 1107, 97, -34, -1, 1], 'lmfdb_label': '139425.p1', 'torsion': [7]}
  • id: 6303917
    {'degree': 8, 'field': [-80829, 19944, -20898, 1907, -950, -7, 7, -4, 1], 'lmfdb_label': '139425.p1', 'torsion': [3]}
  • id: 6303918
    {'degree': 12, 'field': [667134, 1601262, 1055769, -166932, -386211, -79482, 30103, 12620, 541, -350, -23, -4, 1], 'lmfdb_label': '139425.p1', 'torsion': [4]}
  • id: 6303919
    {'degree': 18, 'field': [96924137409, 213268809303, 206162398233, 103317963507, 28804369176, 1574422410, -888580584, 23859377, 68130731, -5973754, -2297323, 355328, 57815, -14462, 1717, 238, 19, -2, 1], 'lmfdb_label': '139425.p1', 'torsion': [14]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 3442572
    {'conductor': 139425, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '139425.p1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 3442573
    {'conductor': 139425, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '139425.p1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3442574
    {'conductor': 139425, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '139425.p1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 3442575
    {'conductor': 139425, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '139425.p1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2570245
    {'adelic_gens': [[25405, 30016, 6944, 39], [3, 21458, 30016, 17123], [8, 5, 91, 57], [16381, 14, 24577, 99], [1, 14, 0, 1], [1, 0, 14, 1], [30017, 14, 30016, 15], [20021, 14, 20027, 99], [24023, 30016, 18011, 29931]], 'adelic_image': '30030.96.2.?', 'conductor': 139425, 'lmfdb_label': '139425.p1', 'prime': 0}
  • id: 539201
    {'conductor': 139425, 'elladic_image': '7.8.0.1', 'lmfdb_label': '139425.p1', 'modell_image': '7B', 'prime': 7}
• lmfdb_iso 139425.p does not appear in ec_padic