Elliptic curve data - 142912.bm3

Formats: - HTML - YAML - JSON - 2024-05-04T20:29:10.167795

• 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': '142912p', 'Clabel': '142912p2', 'Cnumber': 2, 'abc_quality': 0.9719685480458286, 'absD': 379747478161063936, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1624, 'ainvs': [0, 0, 0, -231724, -31053360], 'analytic_rank': 1, 'bad_primes': [2, 7, 11, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 142912, 'degree': 1376256, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0806698912931849633258697762', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2], 'jinv': [5249244962308257, 1448621666569], 'lmfdb_iso': '142912.bm', 'lmfdb_label': '142912.bm3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -3621, 61556], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '28.12.0.b.1', '56.24.0-28.b.1.2', '116.12.0.?', '232.24.0.?', '812.24.0.?', '1624.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5348724001990678511612192706', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0409491204532669992000215940', 'prec': 100}, 'szpiro_ratio': 4.100553844052568, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, 2, 0, 1, 0, -3, 0, -1, 0, -6, 0, 0, 0, -2, 0, -8, 0], 'aplist': [0, 0, 2, 1, -1, -6, -2, -8, 0, -1, 4, 2, -2, -4, 4, 10, 12, -2, 12, -8, -10, 0, 12, 6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 142912, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '142912.bm', 'trace_hash': 2207016330918194608}
• 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': '0.015586661187330972444173303533', 'prec': 107}, 'conductor': 142912, 'gens': [[1788, 72600, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.5348724001990678511612192706', 'prec': 100}], 'lmfdb_label': '142912.bm3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.22212256737864166726931574936', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.0437850016005594514324961818702949706', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-148, 0, 1], [538, 0, 1]], 'xcoord_integral_points': [-390, -148, 538, 1788]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 7, 0], '5': [1, 0], '7': [4, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '142912.bm3'}
• ec_torsion_growth •

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

  
  
  • id: 6456688
    {'degree': 4, 'field': [16, 0, 6, 0, 1], 'lmfdb_label': '142912.bm3', 'torsion': [2, 4]}
  • id: 6456687
    {'degree': 4, 'field': [83, 10, -9, -2, 1], 'lmfdb_label': '142912.bm3', 'torsion': [2, 4]}
  • id: 6456689
    {'degree': 4, 'field': [121, 0, -36, 0, 1], 'lmfdb_label': '142912.bm3', 'torsion': [2, 4]}
  • id: 6456690
    {'degree': 8, 'field': [-115248, 0, -37440, 0, -1176, 0, 0, 0, 1], 'lmfdb_label': '142912.bm3', 'torsion': [2, 6]}
  • id: 6456693
    {'degree': 16, 'field': [155236, 0, -3025556, 0, 15316217, 0, -1013236, 0, -150556, 0, 2954, 0, 504, 0, 12, 0, 1], 'lmfdb_label': '142912.bm3', 'torsion': [2, 8]}
  • id: 6456691
    {'degree': 16, 'field': [6255649, 5414940, 8177610, 2665776, 4018032, 780024, 1060662, 98424, 193885, 2952, 22362, -192, 1548, -12, 60, 0, 1], 'lmfdb_label': '142912.bm3', 'torsion': [4, 4]}
  • id: 6456692
    {'degree': 16, 'field': [2529979076, -3591921416, 2772712596, -1244709136, 345053160, -34694180, -7908778, 4001020, -167789, -111204, 55406, -4344, 1449, -68, 70, -4, 1], 'lmfdb_label': '142912.bm3', 'torsion': [2, 8]}
  • id: 6456694
    {'degree': 16, 'field': [2700569089, 0, -695578752, 0, -90341986, 0, 3517248, 0, 836563, 0, 9408, 0, -2114, 0, -64, 0, 1], 'lmfdb_label': '142912.bm3', 'torsion': [2, 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: 3532908
    {'conductor': 142912, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '142912.bm3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3532909
    {'conductor': 142912, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '142912.bm3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 3532910
    {'conductor': 142912, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '142912.bm3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3532911
    {'conductor': 142912, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '142912.bm3', 'prime': 29, '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: 2592797
    {'adelic_gens': [[815, 1620, 816, 1619], [1, 4, 0, 1], [1621, 4, 1620, 5], [811, 0, 0, 1623], [1, 0, 4, 1], [583, 2, 694, 811], [409, 4, 2, 3], [785, 4, 758, 9]], 'adelic_image': '1624.48.0.?', 'conductor': 142912, 'lmfdb_label': '142912.bm3', 'prime': 0}
  • id: 551828
    {'conductor': 142912, 'elladic_image': '8.12.0.1', 'lmfdb_label': '142912.bm3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 142912.bm does not appear in ec_padic