Elliptic curve data - 310.b1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '310a', 'Clabel': '310a2', 'Cnumber': 2, 'abc_quality': 0.9583488937987097, 'absD': 192200, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 248, 'ainvs': [1, 1, 1, -1066, -13841], 'analytic_rank': 0, 'bad_primes': [2, 5, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 310, 'degree': 96, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.28493926184948998164204541920', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [133974081659809, 192200], 'lmfdb_iso': '310.b', 'lmfdb_label': '310.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1066, -13841], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '124.6.0.?', '248.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 2, 155], [5, 6, 62], [31, 32, 10]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28493926184948998164204541920', 'prec': 97}, 'szpiro_ratio': 5.6704013808064655, '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, 2, 1, -1, 2, 0, 1, 1, -1, 2, 2, 0, 0, -2, 1, 2, 1, -4, -1], 'aplist': [1, 2, -1, 0, 2, 0, 2, -4, -4, -4, -1, -8, 6, 2, 0, 8, 8, 0, 4, 0, 6, -4, 6, -6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 310, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '310.b', 'trace_hash': 218043023890548707}
• 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': '0.56559414081071773631977265927', 'prec': 97}, 'conductor': 310, 'gens': [], 'heights': [], 'lmfdb_label': '310.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.83552253730284114555436966605', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5065676119085234366631089981423984033', 'prec': 127}, 'tamagawa_product': 12, 'torsion_generators': [[-77, 73, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': [2, 0], '5': [0, 0], '31': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '310.b1'}
• ec_torsion_growth •

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

  
  
  • id: 12955
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '310.b1', 'torsion': [2, 2]}
  • id: 12956
    {'degree': 4, 'field': [8, 0, 1, 0, 1], 'lmfdb_label': '310.b1', 'torsion': [4]}
  • id: 12959
    {'degree': 8, 'field': [-10, 37, -40, 5, 1, -7, 7, -4, 1], 'lmfdb_label': '310.b1', 'torsion': [6]}
  • id: 12958
    {'degree': 8, 'field': [196, 0, 164, 0, 37, 0, -6, 0, 1], 'lmfdb_label': '310.b1', 'torsion': [2, 4]}
  • id: 12957
    {'degree': 8, 'field': [974, 240, -464, 448, -223, -4, 6, -4, 1], 'lmfdb_label': '310.b1', 'torsion': [2, 4]}
  • id: 12961
    {'degree': 16, 'field': [-142, 16636, -4211, -24988, 11996, 3366, -6881, 6992, -3835, 746, 315, -40, -145, 42, 14, -8, 1], 'lmfdb_label': '310.b1', 'torsion': [2, 6]}
  • id: 12960
    {'degree': 16, 'field': [1716100, 0, -2421568, 0, 1077692, 0, -125008, 0, -14467, 0, 1208, 0, 466, 0, -24, 0, 1], 'lmfdb_label': '310.b1', '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: 2855
    {'conductor': 310, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '310.b1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2856
    {'conductor': 310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '310.b1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2857
    {'conductor': 310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '310.b1', 'prime': 31, '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: 1667052
    {'adelic_gens': [[1, 2, 2, 5], [2, 1, 123, 0], [33, 218, 216, 31], [65, 4, 130, 9], [3, 4, 8, 11], [245, 4, 244, 5], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '248.12.0.?', 'conductor': 310, 'lmfdb_label': '310.b1', 'prime': 0}
  • id: 1257
    {'conductor': 310, 'elladic_image': '8.6.0.6', 'lmfdb_label': '310.b1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 310.b does not appear in ec_padic