Elliptic curve data - 388773.bb3

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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': '388773bb', 'Clabel': '388773bb1', 'Cnumber': 1, 'abc_quality': 1.2188506759739957, 'absD': 278909249157, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 23562, 'ainvs': [0, 0, 1, -21431520, -38188058076], 'analytic_rank': 0, 'bad_primes': [3, 7, 11, 17], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 388773, 'degree': 7153920, 'elladic_images': ['9.36.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4785784478787780440486695887', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1, 3, 9], 'jinv': [22759502184972288000, 5831], 'lmfdb_iso': '388773.bb', 'lmfdb_label': '388773.bb3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -177120, 28691253], 'min_quad_twist_disc': -11, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.36.0.e.1', '33.8.0-3.a.1.2', '99.72.0.?', '714.8.0.?', '2142.72.3.?', '7854.16.0.?', '23562.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 2, 2057], [7, 8, 55539], [11, 62, 3213], [17, 18, 22869]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0049777393125653491688864905', 'prec': 100}, 'szpiro_ratio': 4.8369145960665625, '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, 0, 0, -1, 0, 0, 0, 0, 0, 4, 0, 0, 4, 1, 0, -2, 0], 'aplist': [0, 0, 0, -1, 0, 4, 1, -2, 9, 9, 5, 2, 0, 1, -9, 0, 9, 1, 5, -9, 7, 10, 0, -9, -1], 'class_deg': 9, 'class_size': 3, 'conductor': 388773, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '388773.bb', 'trace_hash': 172340249626120259}
• 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': '0.0070328946879340341404790875198', 'prec': 110}, 'conductor': 388773, 'gens': [], 'heights': [], 'lmfdb_label': '388773.bb3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.070167549746761829685923808275', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5260317908834258686932570979157604838', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 388773.bb3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16072950
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '388773.bb3', 'torsion': [3]}
  • id: 16072951
    {'degree': 3, 'field': [-12, -24, 0, 1], 'lmfdb_label': '388773.bb3', 'torsion': [2]}
  • id: 16072953
    {'degree': 6, 'field': [-96, -24, -80, -48, 1, -3, 1], 'lmfdb_label': '388773.bb3', 'torsion': [3]}
  • id: 16072954
    {'degree': 6, 'field': [111, -54, 33, -5, 6, -3, 1], 'lmfdb_label': '388773.bb3', 'torsion': [9]}
  • id: 16072952
    {'degree': 6, 'field': [121, -495, 450, 89, -42, -3, 1], 'lmfdb_label': '388773.bb3', 'torsion': [2, 2]}
  • id: 16072955
    {'degree': 6, 'field': [1875, 177, 576, 53, -36, -3, 1], 'lmfdb_label': '388773.bb3', 'torsion': [6]}
  • id: 16072957
    {'degree': 12, 'field': [576, -1800, 1563, 975, 676, 279, 275, -264, 9, 21, -4, -3, 1], 'lmfdb_label': '388773.bb3', 'torsion': [3, 3]}
  • id: 16072958
    {'degree': 12, 'field': [137919, -147267, 39087, 38136, -11514, -6054, 1951, -420, 177, -76, 33, -6, 1], 'lmfdb_label': '388773.bb3', 'torsion': [9]}
  • id: 16072959
    {'degree': 12, 'field': [3225616, 0, 1921392, 0, 160044, 0, -36713, 0, 2487, 0, -75, 0, 1], 'lmfdb_label': '388773.bb3', 'torsion': [2, 6]}
  • id: 16072956
    {'degree': 12, 'field': [1402902934, 15156261972, -408966011100, -1381082612, -7729650018, -3225096, -60286152, 36936, -195372, -98, -54, 0, 1], 'lmfdb_label': '388773.bb3', 'torsion': [4]}
  • id: 16072960
    {'degree': 18, 'field': [-1978560000, -2007936000, 4176230400, -1053537120, -522487728, 581165064, -95392500, -20673756, 30403488, -1712160, -40800, 298446, -15413, 14289, -3378, 115, -36, -3, 1], 'lmfdb_label': '388773.bb3', 'torsion': [6]}
  • id: 16072961
    {'degree': 18, 'field': [382870907, -570736614, 588431493, -458353785, 292185579, -149250513, 63099639, -21119907, 4326543, 315900, -482676, 70521, 36333, -15195, 1125, 402, -69, -3, 1], 'lmfdb_label': '388773.bb3', 'torsion': [18]}
• 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: 9618287
    {'conductor': 388773, 'conductor_valuation': 3, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '388773.bb3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9618288
    {'conductor': 388773, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '388773.bb3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9618289
    {'conductor': 388773, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '388773.bb3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9618290
    {'conductor': 388773, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '388773.bb3', 'prime': 17, 'reduction_type': 1, '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: 4078541
    {'adelic_gens': [[1, 18, 0, 1], [1, 18, 10, 181], [10, 9, 81, 73], [23545, 18, 23544, 19], [16831, 12870, 16533, 21583], [1, 0, 18, 1], [5545, 12870, 9207, 21583], [8567, 0, 0, 23561], [10715, 12870, 16929, 11155]], 'adelic_image': '23562.144.3.?', 'conductor': 388773, 'lmfdb_label': '388773.bb3', 'prime': 0}
  • id: 1326622
    {'conductor': 388773, 'elladic_image': '9.36.0.6', 'lmfdb_label': '388773.bb3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 388773.bb does not appear in ec_padic