Elliptic curve data - 393129.w1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '393129w', 'Clabel': '393129w1', 'Cnumber': 1, 'abc_quality': 1.1430978334115345, 'absD': 2485797285751487035370163, 'adelic_genus': 3, 'adelic_index': 60, 'adelic_level': 6270, 'ainvs': [0, 0, 1, -19918536, 83216116167], 'analytic_rank': 2, 'bad_primes': [3, 11, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 393129, 'degree': 54720000, 'elladic_images': ['5.15.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3681610901573881600269434961', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1], 'jinv': [-56623104, 161051], 'lmfdb_iso': '393129.w', 'lmfdb_label': '393129.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -456, 9115], 'min_quad_twist_disc': 209, 'modell_images': ['5Ns'], 'modm_images': ['5.15.0.a.1', '95.30.0.?', '330.30.1.?', '1254.2.0.?', '6270.60.3.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '7.1224250305366709123220110148', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31376885278365487985961017603', 'prec': 107}, 'szpiro_ratio': 4.953663166969472, '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, 0, 0, -2, -2, 0, -2, 0, 0, 0, 0, 0, -5, 0, 0, 4, -3, 0, 0, 4], 'aplist': [0, 0, -2, -2, 0, -5, -3, 0, -6, -10, 10, 0, -10, 6, 2, -5, 5, 0, 10, 15, -14, -5, -9, 5, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 393129, 'isogeny_matrix': [[1]], 'lmfdb_iso': '393129.w', 'trace_hash': 858368688563010786}
• 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': '0.0011870047278776935659595445292', 'prec': 110}, 'conductor': 393129, 'gens': [[138985, 50211296, 3], [-825, 314781, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1642613591131041531652006014', 'prec': 100}, {'__RealLiteral__': 0, 'data': '3.4733360138323486218982461813', 'prec': 100}], 'lmfdb_label': '393129.w1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.071712240422934822560742836904', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.1722408989467942361228048833923977907', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': [-825, 3249]}
• lmfdb_label 393129.w1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16237203
    {'degree': 3, 'field': [-9, -5, -1, 1], 'lmfdb_label': '393129.w1', 'torsion': [2]}
  • id: 16237204
    {'degree': 6, 'field': [2508, 0, 256, 0, -32, 0, 1], 'lmfdb_label': '393129.w1', 'torsion': [2, 2]}
  • id: 16237205
    {'degree': 8, 'field': [-45306, 96097, -71216, -17517, 2617, 223, -81, -2, 1], 'lmfdb_label': '393129.w1', 'torsion': [3]}
  • id: 16237206
    {'degree': 8, 'field': [106458559, -2184314, 377689, -117815, 12796, 148, 7, -2, 1], 'lmfdb_label': '393129.w1', 'torsion': [5]}
  • id: 16237207
    {'degree': 12, 'field': [-4977995, -8996734, -3790642, 1225512, 916999, 55072, -36560, -1376, 601, 186, 2, -4, 1], 'lmfdb_label': '393129.w1', 'torsion': [4]}
  • id: 16237208
    {'degree': 16, 'field': [351230825011, 3992842321754, -336913444516, -63681876060, -8580035584, 1748688922, 144691015, 71217798, -375683, 3855234, -592385, 14984, -13354, -630, -4, -2, 1], 'lmfdb_label': '393129.w1', 'torsion': [5]}
• 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: 9724714
    {'conductor': 393129, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '393129.w1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9724715
    {'conductor': 393129, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '393129.w1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9724716
    {'conductor': 393129, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '393129.w1', 'prime': 19, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 4104168
    {'adelic_gens': [[1, 3772, 0, 5017], [1, 0, 10, 1], [992, 5, 2321, 28], [2, 7, 6245, 6183], [6, 5, 4175, 6266], [4566, 5, 4555, 6266], [6261, 10, 6260, 11], [1, 10, 0, 1]], 'adelic_image': '6270.60.3.?', 'conductor': 393129, 'lmfdb_label': '393129.w1', 'prime': 0}
  • id: 1339562
    {'conductor': 393129, 'elladic_image': '5.15.0.1', 'lmfdb_label': '393129.w1', 'modell_image': '5Ns', 'prime': 5}
• lmfdb_iso 393129.w does not appear in ec_padic