Elliptic curve data - 462.f3

Formats: - HTML - YAML - JSON - 2022-06-27T17:50:40.578364

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  absD	numeric
  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[]
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '462g', 'Clabel': '462g2', 'Cnumber': 2, 'absD': 2291573592, 'ainvs': [1, 0, 0, -363, 1305], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 462, 'degree': 192, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49225057390419977497426756934', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [5290763640625, 2291573592], 'lmfdb_iso': '462.f', 'lmfdb_label': '462.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -363, 1305], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49225057390419977497426756934', 'prec': 103}, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
• 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, 1, 1, 1, 0, -1, 1, 2, 1, 0, 1, 0, 1, 2, 0], 'aplist': [1, 1, 0, 1, -1, 2, 0, 2, 0, -6, 2, 2, 0, -4, -6, -6, 0, 2, -4, -12, -4, 8, 6, -6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 462, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '462.f', 'trace_hash': 1927090309509610164}
• 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': '0.37362556438700636319241467326', 'prec': 103}, 'conductor': 462, 'gens': [], 'heights': [], 'lmfdb_label': '462.f3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.3136031374174197867722777393', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6272062748348395735445554785774572760', 'prec': 130}, 'tamagawa_product': 72, 'torsion_generators': [[-12, 69, 1]], 'xcoord_integral_points': [-12, 24]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '7': [1, 0], '11': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '462.f3'}
• ec_torsion_growth •

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

  
  
  • id: 20955
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '462.f3', 'torsion': [2, 6]}
  • id: 20956
    {'degree': 4, 'field': [22, 0, -9, 0, 1], 'lmfdb_label': '462.f3', 'torsion': [12]}
  • id: 20957
    {'degree': 6, 'field': [400, -520, 656, 14, -25, -1, 1], 'lmfdb_label': '462.f3', 'torsion': [3, 6]}
  • id: 20958
    {'degree': 8, 'field': [-756, 3248, -3900, 1320, -699, 44, -10, -4, 1], 'lmfdb_label': '462.f3', 'torsion': [2, 12]}
  • id: 20959
    {'degree': 8, 'field': [1192, -1792, 2036, -460, 161, 80, -22, -4, 1], 'lmfdb_label': '462.f3', 'torsion': [2, 12]}
  • id: 20960
    {'degree': 9, 'field': [7599, 4527, -4662, -2102, 888, 276, 2, -30, -3, 1], 'lmfdb_label': '462.f3', 'torsion': [18]}
  • id: 20961
    {'degree': 12, 'field': [1115136, 0, 46464, 0, -21296, 0, 3080, 0, 528, 0, -22, 0, 1], 'lmfdb_label': '462.f3', 'torsion': [6, 6]}
  • id: 20962
    {'degree': 16, 'field': [2954914, 19146444, 34697660, -10195924, 13359147, -7722174, 5213544, -2260534, 772317, -164820, 28228, -1572, -331, 182, -8, -2, 1], 'lmfdb_label': '462.f3', 'torsion': [24]}
  • id: 20963
    {'degree': 18, 'field': [-1319329792, 0, 539725824, 0, 85865472, 0, 20792640, 0, -7248384, 0, 766656, 0, -77286, 0, 1980, 0, -198, 0, 1], 'lmfdb_label': '462.f3', 'torsion': [2, 18]}
• 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: 5069
    {'conductor': 462, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '462.f3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 5070
    {'conductor': 462, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '462.f3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 5071
    {'conductor': 462, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '462.f3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5072
    {'conductor': 462, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '462.f3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2112
    {'conductor': 462, 'elladic_image': '2.3.0.1', 'lmfdb_label': '462.f3', 'modell_image': '2B', 'prime': 2}
  • id: 2113
    {'conductor': 462, 'elladic_image': '3.8.0.1', 'lmfdb_label': '462.f3', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 462.f does not appear in ec_padic