Elliptic curve data - 58608.v2

Formats: - HTML - YAML - JSON - 2024-06-05T18:12:56.594585

• 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': '58608bi', 'Clabel': '58608bi1', 'Cnumber': 1, 'abc_quality': 1.3018384230554119, 'absD': 373106248959312, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 444, 'ainvs': [0, 0, 0, -88320, 10059847], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 58608, 'degree': 184320, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6440783502881904579994804281', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [6532108386304000, 31987847133], 'lmfdb_iso': '58608.v', 'lmfdb_label': '58608.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -9813, 375858], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '74.6.0.?', '444.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86372314576748717582944710249', 'prec': 103}, 'szpiro_ratio': 4.169899456888108, '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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 4, 0, -2, 0], 'aplist': [0, 0, 0, 0, 1, 2, 4, -2, 0, 4, 2, -1, -10, 2, -8, -10, 0, -10, 8, 16, 10, 14, 4, 4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 58608, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '58608.v', 'trace_hash': 592494356990776297}
• 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': '0.037322582723925550129671497460', 'prec': 107}, 'conductor': 58608, 'gens': [], 'heights': [], 'lmfdb_label': '58608.v2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.53891328385039272835846200784', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1556531354015709134338480313417230639', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-343, 0, 1]], 'xcoord_integral_points': [-343]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '11': [1, 0], '37': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '58608.v2'}
• ec_torsion_growth •

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

  
  
  • id: 2818097
    {'degree': 2, 'field': [-9, -1, 1], 'lmfdb_label': '58608.v2', 'torsion': [2, 2]}
  • id: 2818098
    {'degree': 4, 'field': [13, 2, 8, -2, 1], 'lmfdb_label': '58608.v2', 'torsion': [4]}
  • id: 2818101
    {'degree': 8, 'field': [-43200, 0, 16464, 0, 720, 0, 0, 0, 1], 'lmfdb_label': '58608.v2', 'torsion': [6]}
  • id: 2818100
    {'degree': 8, 'field': [-4599, -9846, -6966, -2370, -737, -94, 36, -4, 1], 'lmfdb_label': '58608.v2', 'torsion': [2, 4]}
  • id: 2818099
    {'degree': 8, 'field': [1089, 0, -378, 0, 67, 0, 2, 0, 1], 'lmfdb_label': '58608.v2', 'torsion': [2, 4]}
  • id: 2818103
    {'degree': 16, 'field': [28592780625, 12591023400, -13400172924, 1644653568, -885380982, 67714248, -9253680, -11559624, 3096259, -177176, 74032, -19784, 2266, 448, -44, -8, 1], 'lmfdb_label': '58608.v2', 'torsion': [2, 6]}
  • id: 2818102
    {'degree': 16, 'field': [88723865806, 5603657064, 13870596368, 567790912, 234996488, 40630920, -59703448, 26487240, 10900576, 1132896, 440392, 61988, 2166, -160, 4, -4, 1], 'lmfdb_label': '58608.v2', '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: 1410289
    {'conductor': 58608, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '58608.v2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1410290
    {'conductor': 58608, 'conductor_valuation': 2, 'discriminant_valuation': 16, 'j_denominator_valuation': 10, 'kodaira_symbol': -14, 'lmfdb_label': '58608.v2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1410291
    {'conductor': 58608, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '58608.v2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1410292
    {'conductor': 58608, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '58608.v2', 'prime': 37, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2052904
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [337, 112, 332, 111], [149, 4, 298, 9], [441, 4, 440, 5], [374, 1, 35, 0]], 'adelic_image': '444.12.0.?', 'conductor': 58608, 'lmfdb_label': '58608.v2', 'prime': 0}
  • id: 248217
    {'conductor': 58608, 'elladic_image': '2.3.0.1', 'lmfdb_label': '58608.v2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 58608.v does not appear in ec_padic