Elliptic curve data - 35904.ce2

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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': '35904bb', 'Clabel': '35904bb2', 'Cnumber': 2, 'abc_quality': 1.070078751332218, 'absD': 126802088160430915584, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, 1, 0, -2009569, 952616831], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 35904, 'degree': 1474560, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5834131697006351293232752776', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 56, 'isogeny_degrees': [1, 2], 'jinv': [3423676911662954233, 483711578981136], 'lmfdb_iso': '35904.ce', 'lmfdb_label': '35904.ce2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -31399, 1848805], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0-2.a.1.1', '88.12.0.?', '132.12.0.?', '136.12.0.?', '204.12.0.?', '264.24.0.?', '408.24.0.?', '748.12.0.?', '1496.24.0.?', '2244.24.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 1088], [5, 2, 11968], [11, 12, 3264], [17, 18, 2112]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5436923988607171651974270954', 'prec': 100}, 'szpiro_ratio': 5.258459188310403, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
• 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, 1, 0, -2, 0, 4, 0, 1, 0, -1, 0, -6, 0, -2, 0, -1, 0, -4, 0], 'aplist': [0, 1, -2, 4, -1, -6, -1, -4, 0, -2, 0, 10, -10, 4, 4, 2, 0, -2, -12, 0, -10, 4, 12, -14, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 35904, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '35904.ce', 'trace_hash': 127334129157168544}
• 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': '0.0057026383694451567261025475723', 'prec': 110}, 'conductor': 35904, 'gens': [], 'heights': [], 'lmfdb_label': '35904.ce2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17821669389014457464665389468', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7821669389014457464665389467985379082', 'prec': 130}, 'tamagawa_product': 160, 'torsion_generators': [[563, 0, 1], [1049, 0, 1]], 'xcoord_integral_points': [-1613, 563, 1049]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '11': [0, 0], '17': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '35904.ce2'}
• ec_torsion_growth •

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

  
  
  • id: 1780978
    {'degree': 4, 'field': [9, 0, 28, 0, 1], 'lmfdb_label': '35904.ce2', 'torsion': [2, 4]}
  • id: 1780979
    {'degree': 4, 'field': [16, 0, -14, 0, 1], 'lmfdb_label': '35904.ce2', 'torsion': [2, 4]}
  • id: 1780977
    {'degree': 4, 'field': [100, 0, -14, 0, 1], 'lmfdb_label': '35904.ce2', 'torsion': [2, 4]}
  • id: 1780980
    {'degree': 8, 'field': [-12, 0, -10, 0, 12, 0, 0, 0, 1], 'lmfdb_label': '35904.ce2', 'torsion': [2, 6]}
  • id: 1780981
    {'degree': 16, 'field': [194481, 0, -470988, 0, 465966, 0, -183840, 0, 22387, 0, 960, 0, 446, 0, -12, 0, 1], 'lmfdb_label': '35904.ce2', 'torsion': [4, 4]}
  • id: 1780984
    {'degree': 16, 'field': [788544, 0, -2063808, 0, 1353264, 0, -285792, 0, 26476, 0, -4156, 0, -99, 0, -52, 0, 1], 'lmfdb_label': '35904.ce2', 'torsion': [2, 8]}
  • id: 1780982
    {'degree': 16, 'field': [804609, 0, -788562, 0, 1391646, 0, -452880, 0, 102775, 0, -11968, 0, 750, 0, -34, 0, 1], 'lmfdb_label': '35904.ce2', 'torsion': [2, 8]}
  • id: 1780983
    {'degree': 16, 'field': [2939587622, 458376672, -163611516, -569620180, 241840480, 32869240, 19121462, -23640948, 3276499, 1691908, -275246, -33460, 4788, 336, -28, -8, 1], 'lmfdb_label': '35904.ce2', 'torsion': [2, 8]}
• 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: 845425
    {'conductor': 35904, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '35904.ce2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 845426
    {'conductor': 35904, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '35904.ce2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 845427
    {'conductor': 35904, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '35904.ce2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 845428
    {'conductor': 35904, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '35904.ce2', 'prime': 17, 'reduction_type': -1, '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: 1904084
    {'adelic_gens': [[409, 4, 818, 9], [4485, 4, 4484, 5], [1, 4, 0, 1], [2247, 4484, 2248, 4483], [3365, 4484, 4486, 4479], [1, 0, 4, 1], [2243, 0, 0, 4487], [927, 2, 130, 2243], [3739, 4486, 0, 4487]], 'adelic_image': '4488.48.0.?', 'conductor': 35904, 'lmfdb_label': '35904.ce2', 'prime': 0}
  • id: 159352
    {'conductor': 35904, 'elladic_image': '2.6.0.1', 'lmfdb_label': '35904.ce2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 35904.ce does not appear in ec_padic