Elliptic curve data - 249900.bl1

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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': '249900bl', 'Clabel': '249900bl1', 'Cnumber': 1, 'abc_quality': 1.0268382310671036, 'absD': 8746644317250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1428, 'ainvs': [0, -1, 0, -413233, 102283462], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 249900, 'degree': 2211840, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9730156147582487978396439610', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2], 'jinv': [265327034368, 297381], 'lmfdb_iso': '249900.bl', 'lmfdb_label': '249900.bl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -337, -2270], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '42.6.0.a.1', '68.6.0.b.1', '1428.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3460179453016979612588402099', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3675], [3, 4, 83300], [5, 14, 9996], [7, 32, 5100], [17, 18, 14700]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.035707476173106478485822784489', 'prec': 110}, 'szpiro_ratio': 4.05580914637292, '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, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 6, 0, 0, 0, -1, 0, 2, 0], 'aplist': [0, -1, 0, 0, 0, 6, -1, 2, 0, 8, 0, -2, -2, -8, -8, 2, -12, 4, -12, 0, 8, -8, 0, -10, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 249900, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '249900.bl', 'trace_hash': 1538677876359469166}
• 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': '0.019331271110014833611037587575', 'prec': 107}, 'conductor': 249900, 'gens': [[2213, 52275, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '4.3460179453016979612588402099', 'prec': 100}], 'lmfdb_label': '249900.bl1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.41062034018235529812057849806', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.1382534685536160699291477719587558508', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[362, 0, 1]], 'xcoord_integral_points': [362]}
• lmfdb_label 249900.bl1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10756573
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '249900.bl1', 'torsion': [2, 2]}
  • id: 10756574
    {'degree': 4, 'field': [234, -84, 0, -2, 1], 'lmfdb_label': '249900.bl1', 'torsion': [4]}
  • id: 10756577
    {'degree': 8, 'field': [-1508524, 399260, 116120, -12568, 2198, 710, 1, -2, 1], 'lmfdb_label': '249900.bl1', 'torsion': [6]}
  • id: 10756575
    {'degree': 8, 'field': [-5039, -10280, -2188, 2476, 418, -184, -4, -4, 1], 'lmfdb_label': '249900.bl1', 'torsion': [2, 4]}
  • id: 10756576
    {'degree': 8, 'field': [6801, -19890, 18214, -1530, 567, -170, -24, 0, 1], 'lmfdb_label': '249900.bl1', 'torsion': [2, 4]}
  • id: 10756579
    {'degree': 16, 'field': [-7816284, -6149304, 39077892, -18911844, 2068668, 3808098, -1548207, -309528, 319218, 5280, -35139, 1806, 2757, 30, -86, -2, 1], 'lmfdb_label': '249900.bl1', 'torsion': [2, 6]}
  • id: 10756578
    {'degree': 16, 'field': [15256836, 0, 35404992, 0, 34785720, 0, 16682928, 0, 2956360, 0, -130400, 0, 4748, 0, -56, 0, 1], 'lmfdb_label': '249900.bl1', 'torsion': [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: 6196221
    {'conductor': 249900, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '249900.bl1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6196222
    {'conductor': 249900, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '249900.bl1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6196223
    {'conductor': 249900, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '249900.bl1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6196224
    {'conductor': 249900, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '249900.bl1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6196225
    {'conductor': 249900, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '249900.bl1', 'prime': 17, '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: 3250360
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1425, 4, 1424, 5], [361, 1072, 356, 1071], [1261, 4, 1094, 9], [818, 1, 1019, 0], [478, 1, 475, 0]], 'adelic_image': '1428.12.0.?', 'conductor': 249900, 'lmfdb_label': '249900.bl1', 'prime': 0}
  • id: 901947
    {'conductor': 249900, 'elladic_image': '2.3.0.1', 'lmfdb_label': '249900.bl1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 249900.bl does not appear in ec_padic