Elliptic curve data - 227850.bi2

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '227850iy', 'Clabel': '227850iy1', 'Cnumber': 1, 'abc_quality': 0.8831661275521379, 'absD': 423977583750000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1860, 'ainvs': [1, 1, 0, -50250, 4426500], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 227850, 'degree': 1382400, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5845258439139645297682971198', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2], 'jinv': [-7633736209, 230640], 'lmfdb_iso': '227850.bi', 'lmfdb_label': '227850.bi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -41, -121], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '124.6.0.?', '1860.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4856152574085969496697559036', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19314818683074231008475891854', 'prec': 107}, 'szpiro_ratio': 3.577921417158725, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [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, -1, -1, 1, 0, 1, 0, -1, 1, 0, 0, -1, 4, 0, 0, 1, 6, -1, 0, 0], 'aplist': [-1, -1, 0, 0, 0, 4, 6, 0, 0, 8, 1, -4, -10, -8, -4, 14, -14, 6, 10, 6, -8, 8, -12, -16, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 227850, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '227850.bi', 'trace_hash': 1190473909627498567}
• 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': '0.042043449319413059770732442158', 'prec': 107}, 'conductor': 227850, 'gens': [[140, 330, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.4856152574085969496697559036', 'prec': 100}], 'lmfdb_label': '227850.bi2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.52834374027156925499479374927', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2530370479013500167970230678495709347', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-260, 130, 1]], 'xcoord_integral_points': [-260, 140]}
• lmfdb_label 227850.bi2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9892745
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '227850.bi2', 'torsion': [2, 2]}
  • id: 9892746
    {'degree': 4, 'field': [-243, -174, -42, -2, 1], 'lmfdb_label': '227850.bi2', 'torsion': [4]}
  • id: 9892749
    {'degree': 8, 'field': [-898994, 1544189, -1541708, -4963, 2485, -7, 7, -4, 1], 'lmfdb_label': '227850.bi2', 'torsion': [6]}
  • id: 9892748
    {'degree': 8, 'field': [97371, -20367, 20250, -5517, 924, -273, 30, -3, 1], 'lmfdb_label': '227850.bi2', 'torsion': [2, 4]}
  • id: 9892747
    {'degree': 8, 'field': [203316, 236964, 107686, 22134, 969, -434, -72, 0, 1], 'lmfdb_label': '227850.bi2', 'torsion': [2, 4]}
  • id: 9892750
    {'degree': 16, 'field': [309056400, 0, -569390400, 0, -372724356, 0, -65349408, 0, -2191415, 0, 268960, 0, -1030, 0, -128, 0, 1], 'lmfdb_label': '227850.bi2', 'torsion': [8]}
  • id: 9892751
    {'degree': 16, 'field': [84711743664, 97236378642, 64624496077, 20533203994, 3403085122, -324919292, -80803823, 21459328, 14609631, 18648, -21891, -14276, 1423, 286, -92, -2, 1], 'lmfdb_label': '227850.bi2', 'torsion': [2, 6]}
• 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: 5651773
    {'conductor': 227850, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '227850.bi2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5651774
    {'conductor': 227850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '227850.bi2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5651775
    {'conductor': 227850, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '227850.bi2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5651776
    {'conductor': 227850, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '227850.bi2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5651777
    {'conductor': 227850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '227850.bi2', 'prime': 31, '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: 3116940
    {'adelic_gens': [[374, 1, 743, 0], [1, 2, 2, 5], [1, 4, 0, 1], [1801, 4, 1742, 9], [622, 1, 619, 0], [1, 0, 4, 1], [1857, 4, 1856, 5], [3, 4, 8, 11], [469, 1396, 464, 1395]], 'adelic_image': '1860.12.0.?', 'conductor': 227850, 'lmfdb_label': '227850.bi2', 'prime': 0}
  • id: 832103
    {'conductor': 227850, 'elladic_image': '2.3.0.1', 'lmfdb_label': '227850.bi2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 227850.bi does not appear in ec_padic