Elliptic curve data - 149058.fk3

Formats: - HTML - YAML - JSON - 2024-04-29T12:45:09.725734

• 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': '149058s', 'Clabel': '149058s1', 'Cnumber': 1, 'abc_quality': 0.9444652801455067, 'absD': 6188284106415643072932, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 10920, 'ainvs': [1, -1, 1, -33688661, -75158000823], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 149058, 'degree': 11980800, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0830628744275597312354082351', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 140, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [4649101309, 6804], 'lmfdb_iso': '149058.fk', 'lmfdb_label': '149058.fk3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -452, -3732], 'min_quad_twist_disc': 273, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.18.0.a.1', '40.36.0.c.2', '65.12.0.a.2', '104.6.0.?', '130.72.0.?', '168.6.0.?', '210.36.0.?', '520.144.1.?', '546.6.0.?', '840.72.1.?', '1365.24.0.?', '2184.12.0.?', '2730.144.1.?', '10920.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '18.811014080765953803728251499', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.36291036253030431905500633625', 'prec': 107}, 'szpiro_ratio': 5.340088472941876, '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, 0, 1, -2, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 1, 2, 0, 4, -2], 'aplist': [1, 0, -2, 0, 0, 0, 2, 4, -6, 0, 0, -2, 0, -4, 8, -4, -6, -12, 2, 0, 14, 0, 14, 4, -2], 'class_deg': 10, 'class_size': 4, 'conductor': 149058, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '149058.fk', 'trace_hash': 510933736490169000}
• 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': '0.0020993536888121583811908017330', 'prec': 110}, 'conductor': 149058, 'gens': [[-5835346053, 4779688267926, 1301]], 'heights': [{'__RealLiteral__': 0, 'data': '18.811014080765953803728251499', 'prec': 100}], 'lmfdb_label': '149058.fk3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.062671023774326474463135085189', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.4312440853989853014902685784984900173', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-3253, 1626, 1]], 'xcoord_integral_points': [-3253]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '149058.fk3'}
• ec_torsion_growth •

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

  
  
  • id: 6708888
    {'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '149058.fk3', 'torsion': [2, 2]}
  • id: 6708889
    {'degree': 4, 'field': [360, -72, -5, -2, 1], 'lmfdb_label': '149058.fk3', 'torsion': [4]}
  • id: 6708890
    {'degree': 4, 'field': [393, 69, 67, -1, 1], 'lmfdb_label': '149058.fk3', 'torsion': [10]}
  • id: 6708891
    {'degree': 8, 'field': [-96704, 137120, -52904, -1576, 3250, -118, -47, -4, 1], 'lmfdb_label': '149058.fk3', 'torsion': [2, 4]}
  • id: 6708894
    {'degree': 8, 'field': [1257, 1017, -251, -278, 155, 16, -16, -2, 1], 'lmfdb_label': '149058.fk3', 'torsion': [2, 10]}
  • id: 6708893
    {'degree': 8, 'field': [21476, 728, -15938, -2977, 4694, -407, 149, -4, 1], 'lmfdb_label': '149058.fk3', 'torsion': [6]}
  • id: 6708892
    {'degree': 8, 'field': [217504, 7952, -7010, -1888, 955, -16, 10, -4, 1], 'lmfdb_label': '149058.fk3', 'torsion': [2, 4]}
  • id: 6708896
    {'degree': 16, 'field': [-9982860996, 12345149868, -1857351492, -1034103468, 137412690, -17529174, 4241125, 7659976, -1284246, -580302, 38421, -6246, 4263, -192, -54, -2, 1], 'lmfdb_label': '149058.fk3', 'torsion': [2, 6]}
  • id: 6708897
    {'degree': 16, 'field': [37260427, -36917664, 26664178, -3693168, 1648646, 618900, -5256, 574680, -133702, -54936, 15936, 1608, 539, -72, -50, 0, 1], 'lmfdb_label': '149058.fk3', 'torsion': [20]}
  • id: 6708895
    {'degree': 16, 'field': [565280478, 992985336, 1240618372, 970105304, 435006601, 141536668, 93845810, 16153852, 6037877, 1880848, 191480, 62960, 10291, -100, 226, -4, 1], 'lmfdb_label': '149058.fk3', 'torsion': [8]}
  • id: 6708898
    {'degree': 20, 'field': [334224915785086, 42205473907518, 8254650169656, -58933733530198, 29996452794192, -8011787348251, 1126234138389, 38344656795, -58437598207, 14140884109, -1307946313, -195935401, 88451103, -16004825, 1517459, 14361, -22943, 2937, -167, -5, 1], 'lmfdb_label': '149058.fk3', 'torsion': [10]}
• 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: 3686815
    {'conductor': 149058, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '149058.fk3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3686816
    {'conductor': 149058, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '149058.fk3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3686817
    {'conductor': 149058, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '149058.fk3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3686818
    {'conductor': 149058, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '149058.fk3', 'prime': 13, 'reduction_type': 0, '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: 2631496
    {'adelic_gens': [[10901, 20, 10900, 21], [2518, 10905, 5075, 262], [7264, 10915, 45, 14], [8191, 20, 0, 1], [5461, 20, 10, 201], [6224, 10915, 1605, 14], [1, 10, 10, 101], [1, 0, 20, 1], [4371, 20, 10900, 10787], [11, 16, 10680, 10571], [1, 20, 0, 1]], 'adelic_image': '10920.288.5.?', 'conductor': 149058, 'lmfdb_label': '149058.fk3', 'prime': 0}
  • id: 572762
    {'conductor': 149058, 'elladic_image': '2.3.0.1', 'lmfdb_label': '149058.fk3', 'modell_image': '2B', 'prime': 2}
  • id: 572763
    {'conductor': 149058, 'elladic_image': '5.6.0.1', 'lmfdb_label': '149058.fk3', 'modell_image': '5B', 'prime': 5}
• lmfdb_iso 149058.fk does not appear in ec_padic