Elliptic curve data - 462462.bi2

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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
  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
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '462462bi', 'Clabel': '462462bi1', 'Cnumber': 1, 'abc_quality': 1.0387829692161805, 'absD': 624644235015830781687936, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 24024, 'ainvs': [1, 1, 0, 4233183, -37875637323], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 462462, 'degree': 67173120, 'elladic_images': ['7.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2454953104259016971559656527', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 34, 'isogeny_degrees': [1, 7], 'jinv': [40251338884511, 2997011332224], 'lmfdb_iso': '462462.bi', 'lmfdb_label': '462462.bi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 714, -82908], 'min_quad_twist_disc': 77, 'modell_images': ['7B.6.1'], 'modm_images': ['7.24.0.a.1', '77.48.0.?', '2184.48.2.?', '24024.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '20.699323282942088009646758646', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 231231], [3, 4, 154154], [7, 26, 1573], [11, 62, 3822], [13, 14, 35574]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0735925994990597725723174920', 'prec': 100}, 'szpiro_ratio': 4.771301846407381, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 1, 1, 0, -1, 1, -1, 0, -1, -1, 0, -1, 1, -3, -1, -1, 1], 'aplist': [-1, -1, 1, 0, 0, -1, -3, -1, 3, -9, -4, -11, 0, 5, 8, -2, -4, -15, -2, -12, 11, -10, -14, -6, 14], 'class_deg': 7, 'class_size': 2, 'conductor': 462462, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '462462.bi', 'trace_hash': 1450952343163432307}
• 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': '0.0015170454466086306338633924002', 'prec': 110}, 'conductor': 462462, 'gens': [[173469261383, 72185885143720835, 3833]], 'heights': [{'__RealLiteral__': 0, 'data': '20.699323282942088009646758646', 'prec': 100}], 'lmfdb_label': '462462.bi2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.043493343125385586895376310453', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6011310800331323244343000069457690851', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 462462.bi2 does not appear in ec_iwasawa
• lmfdb_label 462462.bi2 does not appear in ec_torsion_growth
• 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: 11405545
    {'conductor': 462462, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '462462.bi2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11405546
    {'conductor': 462462, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '462462.bi2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11405547
    {'conductor': 462462, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '462462.bi2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11405548
    {'conductor': 462462, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '462462.bi2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 11405549
    {'conductor': 462462, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '462462.bi2', 'prime': 13, '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: 4506013
    {'adelic_gens': [[848, 17479, 12089, 6546], [6544, 539, 23485, 2034], [17480, 17479, 12551, 6546], [1, 14, 0, 1], [19655, 0, 0, 24023], [24011, 14, 24010, 15], [17480, 17479, 18557, 6546], [9472, 17479, 22561, 6546], [1, 0, 14, 1], [8, 5, 91, 57]], 'adelic_image': '24024.96.2.?', 'conductor': 462462, 'lmfdb_label': '462462.bi2', 'prime': 0}
  • id: 1540886
    {'conductor': 462462, 'elladic_image': '7.24.0.1', 'lmfdb_label': '462462.bi2', 'modell_image': '7B.6.1', 'prime': 7}
• lmfdb_iso 462462.bi does not appear in ec_padic