Elliptic curve data - 469440.bj1

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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': '469440bj', 'Clabel': '469440bj4', 'Cnumber': 4, 'abc_quality': 0.9476298241848735, 'absD': 163905733559408394240, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 19560, 'ainvs': [0, 0, 0, -4051308, -3077600848], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 163], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 469440, 'degree': 15728640, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6662728754609689201940485348', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4], 'jinv': [38480618749557529, 857682789615], 'lmfdb_iso': '469440.bj', 'lmfdb_label': '469440.bj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -7034, 222041], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '60.12.0.h.1', '120.24.0.?', '3912.24.0.?', '6520.24.0.?', '19560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1080214584199915573975108418', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 8, 52160], [5, 6, 93888], [163, 164, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0772459602869961103705777342', 'prec': 100}, 'szpiro_ratio': 4.384405949110108, '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, -1, 0, 0, 0, 0, 0, -4, 0, -2, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, -1, 0, -4, -2, 2, 0, -8, 10, 4, -10, -2, 4, -12, 2, 4, 2, 4, 0, -10, -12, 0, 2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 469440, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '469440.bj', 'trace_hash': 1027364081947931220}
• 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': '0.0048317539000778800352311439428', 'prec': 110}, 'conductor': 469440, 'gens': [[10933, 1122255, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.1080214584199915573975108418', 'prec': 100}], 'lmfdb_label': '469440.bj1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10655894283656456615838922049', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2989996947614706396687265240265254246', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-1292, 0, 1]], 'xcoord_integral_points': [-1292, 10933]}
• lmfdb_label 469440.bj1 does not appear in ec_iwasawa
• lmfdb_label 469440.bj1 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: 11575089
    {'conductor': 469440, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '469440.bj1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 11575090
    {'conductor': 469440, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '469440.bj1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11575091
    {'conductor': 469440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '469440.bj1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11575092
    {'conductor': 469440, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '469440.bj1', 'prime': 163, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 4546349
    {'adelic_gens': [[19553, 8, 19552, 9], [2448, 12233, 2473, 2520], [13036, 19559, 6497, 19554], [7, 6, 19554, 19555], [1, 0, 8, 1], [8641, 8, 15004, 33], [12221, 12222, 17102, 7325], [15656, 3, 5, 2], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '19560.48.0.?', 'conductor': 469440, 'lmfdb_label': '469440.bj1', 'prime': 0}
  • id: 1560842
    {'conductor': 469440, 'elladic_image': '8.12.0.7', 'lmfdb_label': '469440.bj1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 469440.bj does not appear in ec_padic