Elliptic curve data - 228800.bn1

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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': '228800ec', 'Clabel': '228800ec1', 'Cnumber': 1, 'abc_quality': 1.0257824319084718, 'absD': 1505425955445800960000000000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 440, 'ainvs': [0, -1, 0, -1711716033, -65020862048063], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 228800, 'degree': 235339776, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4779354588301257144812844284', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 39, 'isogeny_degrees': [1], 'jinv': [-135412551115258010417641, 367535633653760000000], 'lmfdb_iso': '228800.bn', 'lmfdb_label': '228800.bn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1069822, -1016405644], 'min_quad_twist_disc': 40, 'modell_images': [], 'modm_images': ['440.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 275], [5, 18, 9152], [11, 12, 20800], [13, 14, 17600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6334957317731575630550565796', 'prec': 100}, 'szpiro_ratio': 6.250474008440751, '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, -1, 0, 0, 0, -1, 0, -2, 0, 1, 0, -1, 0, 0, 0, 1, 0, -3, 0], 'aplist': [0, -1, 0, -1, 1, -1, 1, -3, -6, 1, -7, 7, 6, 4, -6, -5, 14, -13, 8, -5, -10, 2, -14, 17, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 228800, 'isogeny_matrix': [[1]], 'lmfdb_iso': '228800.bn', 'trace_hash': 891079447843044644}
• 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': '0.00012897771536161092619525681689', 'prec': 113}, 'conductor': 228800, 'gens': [], 'heights': [], 'lmfdb_label': '228800.bn1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.010894327608527468455223213985', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.34861848347287899056714284752669394016', 'prec': 133}, 'tamagawa_product': 32, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 228800.bn1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9928526
    {'degree': 3, 'field': [-8, 2, 0, 1], 'lmfdb_label': '228800.bn1', 'torsion': [2]}
  • id: 9928527
    {'degree': 6, 'field': [16, -32, 118, 16, -7, -2, 1], 'lmfdb_label': '228800.bn1', 'torsion': [2, 2]}
  • id: 9928528
    {'degree': 8, 'field': [-2650800, 0, -423890, 0, -5640, 0, 0, 0, 1], 'lmfdb_label': '228800.bn1', 'torsion': [3]}
  • id: 9928529
    {'degree': 12, 'field': [-100, 600, -1090, 760, 60, -420, 271, -4, -103, 52, -3, -4, 1], 'lmfdb_label': '228800.bn1', 'torsion': [4]}
• 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: 5674334
    {'conductor': 228800, 'conductor_valuation': 6, 'discriminant_valuation': 37, 'j_denominator_valuation': 19, 'kodaira_symbol': -31, 'lmfdb_label': '228800.bn1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 5674335
    {'conductor': 228800, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '228800.bn1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 5674336
    {'conductor': 228800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '228800.bn1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 5674337
    {'conductor': 228800, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '228800.bn1', 'prime': 13, '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

  
  {'adelic_gens': [[439, 2, 438, 3], [221, 2, 221, 3], [321, 2, 321, 3], [1, 1, 439, 0], [1, 0, 2, 1], [1, 2, 0, 1], [111, 2, 0, 1], [177, 2, 177, 3]], 'adelic_image': '440.2.0.?', 'conductor': 228800, 'lmfdb_label': '228800.bn1', 'prime': 0}
• lmfdb_iso 228800.bn does not appear in ec_padic