Elliptic curve data - 229957.f2

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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': '229957f', 'Clabel': '229957f2', 'Cnumber': 2, 'abc_quality': 1.0540820890244733, 'absD': 833883675578808703985773, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 6916, 'ainvs': [1, -1, 1, 11105375, -41564535106], 'analytic_rank': 1, 'bad_primes': [7, 13, 19], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 229957, 'degree': 18574920, 'elladic_images': ['7.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2720857438550069441975916322', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 5, 'isogeny_degrees': [1, 7], 'jinv': [11397810375, 62748517], 'lmfdb_iso': '229957.f', 'lmfdb_label': '229957.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 628, -17823], 'min_quad_twist_disc': 133, 'modell_images': ['7B.6.2'], 'modm_images': ['7.24.0.b.1', '52.2.0.a.1', '133.48.0.?', '364.48.2.?', '6916.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '37.729227077589593993109691102', 'prec': 100}, 'semistable': False, 'serre_invariants': [[7, 20, 361], [13, 14, 17689], [19, 182, 637]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.17827446339235895993861729672', 'prec': 103}, 'szpiro_ratio': 5.056359952239857, '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, 0, -1, 0, 0, 0, 3, -3, 0, -3, 0, -1, 0, 0, -1, -7, 3, 0, 0], 'aplist': [-1, 0, 0, 0, -3, -1, -7, 0, -6, 5, 0, -8, 0, 2, -7, 3, -7, 7, 3, 5, -14, 6, 0, 0, -14], 'class_deg': 7, 'class_size': 2, 'conductor': 229957, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '229957.f', 'trace_hash': 177702860696630473}
• 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': '0.0014384753835379611020733209681', 'prec': 110}, 'conductor': 229957, 'gens': [[11512697091954428, 674401201715051905275607, 2095547]], 'heights': [{'__RealLiteral__': 0, 'data': '37.729227077589593993109691102', 'prec': 100}], 'lmfdb_label': '229957.f2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.044722976288538432383410843037', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6873633279759215860090274317749707380', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 229957.f2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9973210
    {'degree': 3, 'field': [8, 12, -1, 1], 'lmfdb_label': '229957.f2', 'torsion': [2]}
  • id: 9973211
    {'degree': 6, 'field': [13, 0, 55, 0, -5, 0, 1], 'lmfdb_label': '229957.f2', 'torsion': [2, 2]}
  • id: 9973212
    {'degree': 6, 'field': [239, -16, 75, -7, 10, -1, 1], 'lmfdb_label': '229957.f2', 'torsion': [7]}
  • id: 9973213
    {'degree': 8, 'field': [-1379775, 44820, -175782, -4608, -5619, -93, 9, 0, 1], 'lmfdb_label': '229957.f2', 'torsion': [3]}
  • id: 9973214
    {'degree': 12, 'field': [139436256, -224050880, 100311936, -4638336, -8834036, 1897096, 177806, -211466, 23642, 2082, -307, -5, 1], 'lmfdb_label': '229957.f2', 'torsion': [4]}
  • id: 9973215
    {'degree': 18, 'field': [8224553, 3391750, 11340937, 1161631, 6190165, -278777, 2113965, -191481, 480499, -56958, 71712, -10745, 7609, -1277, 599, -94, 33, -3, 1], 'lmfdb_label': '229957.f2', '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: 5702924
    {'conductor': 229957, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '229957.f2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 5702925
    {'conductor': 229957, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '229957.f2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5702926
    {'conductor': 229957, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '229957.f2', 'prime': 19, '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: 3129945
    {'adelic_gens': [[1, 14, 0, 1], [6903, 14, 6902, 15], [6385, 2926, 4655, 6651], [3459, 2926, 4921, 6651], [1, 0, 14, 1], [8, 5, 91, 57], [1633, 3990, 2926, 1937], [2183, 0, 0, 6915]], 'adelic_image': '6916.96.2.?', 'conductor': 229957, 'lmfdb_label': '229957.f2', 'prime': 0}
  • id: 838671
    {'conductor': 229957, 'elladic_image': '7.24.0.3', 'lmfdb_label': '229957.f2', 'modell_image': '7B.6.2', 'prime': 7}
• lmfdb_iso 229957.f does not appear in ec_padic