Elliptic curve data - 176176.cd3

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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': '176176bh', 'Clabel': '176176bh2', 'Cnumber': 2, 'abc_quality': 1.0847233207390155, 'absD': 24967649837331477692416, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 616, 'ainvs': [0, 0, 0, -8235139, 4994324610], 'analytic_rank': 0, 'bad_primes': [2, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 176176, 'degree': 11059200, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9955279938120449007020297630', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2], 'jinv': [8511781274893233, 3440817243136], 'lmfdb_iso': '176176.cd', 'lmfdb_label': '176176.cd3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -4254, 59693], 'min_quad_twist_disc': 44, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '28.12.0.b.1', '44.12.0-2.a.1.1', '56.24.0.d.1', '88.24.0.?', '308.24.0.?', '616.48.0.?'], '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, 121], [3, 2, 25168], [7, 8, 25168], [11, 62, 1456], [13, 14, 13552]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1034331768529143192538258526', 'prec': 100}, 'szpiro_ratio': 4.916316875918346, '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, 0, 0, 2, 0, -1, 0, -3, 0, 0, 0, 1, 0, 0, 0, 6, 0, 0, 0], 'aplist': [0, 0, 2, -1, 0, 1, 6, 0, -8, 10, 8, 6, 6, 4, 8, 6, -8, -10, -4, 8, -2, 8, 0, 18, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 176176, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '176176.cd', 'trace_hash': 568150765649290611}
• 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': '0.0025010216073892136711880526573', 'prec': 110}, 'conductor': 176176, 'gens': [], 'heights': [], 'lmfdb_label': '176176.cd3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10837341496463780538033122244', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4679492788684097721705991180416728590', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[638, 0, 1], [2497, 0, 1]], 'xcoord_integral_points': [-3135, 638, 2497]}
• lmfdb_label 176176.cd3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7802682
    {'degree': 4, 'field': [1, 0, 9, 0, 1], 'lmfdb_label': '176176.cd3', 'torsion': [2, 4]}
  • id: 7802681
    {'degree': 4, 'field': [25, 0, -12, 0, 1], 'lmfdb_label': '176176.cd3', 'torsion': [2, 4]}
  • id: 7802680
    {'degree': 4, 'field': [81, 0, 4, 0, 1], 'lmfdb_label': '176176.cd3', 'torsion': [2, 4]}
  • id: 7802683
    {'degree': 8, 'field': [-43923, 0, 15972, 0, 726, 0, 0, 0, 1], 'lmfdb_label': '176176.cd3', 'torsion': [2, 6]}
  • id: 7802684
    {'degree': 16, 'field': [5769, -4632, 37318, -75132, 67400, -52520, 50138, -38324, 24453, -13112, 6182, -2420, 828, -224, 52, -8, 1], 'lmfdb_label': '176176.cd3', 'torsion': [4, 4]}
  • id: 7802687
    {'degree': 16, 'field': [554779, -1810464, 2989014, -1686604, 1753782, 427304, -133322, -9736, -7729, -11952, 2110, -216, 324, -56, 32, -4, 1], 'lmfdb_label': '176176.cd3', 'torsion': [2, 8]}
  • id: 7802686
    {'degree': 16, 'field': [26115257, 31142296, -8218960, -12106064, 3978592, 1526056, -1242560, -46880, 166742, -1080, -17328, 1456, 1264, -72, -64, 0, 1], 'lmfdb_label': '176176.cd3', 'torsion': [2, 8]}
  • id: 7802685
    {'degree': 16, 'field': [31902872, -46274016, 45238864, -33277136, 21139244, -10654144, 4509092, -1487320, 413073, -85040, 14272, -1392, 302, -112, 44, -8, 1], 'lmfdb_label': '176176.cd3', '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: 4356303
    {'conductor': 176176, 'conductor_valuation': 4, 'discriminant_valuation': 22, 'j_denominator_valuation': 10, 'kodaira_symbol': -18, 'lmfdb_label': '176176.cd3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4356304
    {'conductor': 176176, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '176176.cd3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4356305
    {'conductor': 176176, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '176176.cd3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4356306
    {'conductor': 176176, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '176176.cd3', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2798230
    {'adelic_gens': [[1, 0, 4, 1], [613, 4, 612, 5], [331, 506, 22, 111], [559, 0, 0, 615], [1, 4, 0, 1], [309, 396, 506, 177], [571, 220, 418, 109]], 'adelic_image': '616.48.0.?', 'conductor': 176176, 'lmfdb_label': '176176.cd3', 'prime': 0}
  • id: 662087
    {'conductor': 176176, 'elladic_image': '8.12.0.3', 'lmfdb_label': '176176.cd3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 176176.cd does not appear in ec_padic