Elliptic curve data - 442090.b2

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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': '442090b', 'Clabel': '442090b1', 'Cnumber': 1, 'abc_quality': 0.9961366585378372, 'absD': 1642467221810708480000000, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 6189260, 'ainvs': [1, -1, 1, 3169263, 61621374849], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 4019], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 442090, 'degree': 116169984, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3256065165222728426341471185', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 7], 'jinv': [3520454064209678324329119, 1642467221810708480000000], 'lmfdb_iso': '442090.b', 'lmfdb_label': '442090.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 3169263, 61621374849], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '884180.2.0.?', '6189260.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5222570838681468207120719616', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 221045], [5, 6, 88418], [7, 2, 4019], [11, 12, 40190], [4019, 4020, 110]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.3256065165222728426341471185', 'prec': 100}, 'szpiro_ratio': 4.862713565058383, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}
• 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, -3, 1, 1, -3, 1, 1, 6, 1, 1, -3, 0, 1, -3, 1, 4, 6, -1, 1], 'aplist': [1, -3, 1, 1, 1, 0, 4, -1, 3, 2, -3, 3, 0, 2, 6, 12, -3, -1, 5, -12, -10, 17, -14, -8, 7], 'class_deg': 7, 'class_size': 2, 'conductor': 442090, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '442090.b', 'trace_hash': 1804743057945187544}
• 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': '0.0012924533655505835444843135674', 'prec': 110}, 'conductor': 442090, 'gens': [[847, 254356, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.5222570838681468207120719616', 'prec': 100}], 'lmfdb_label': '442090.b2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.065533088185268468979099441811', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.132935692847933314604705473643249408', 'prec': 130}, 'tamagawa_product': 1372, 'torsion_generators': [[1607, 265396, 1]], 'xcoord_integral_points': [-2793, 847, 1607, 11287, 467457]}
• lmfdb_label 442090.b2 does not appear in ec_iwasawa
• lmfdb_label 442090.b2 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: 10913679
    {'conductor': 442090, 'conductor_valuation': 1, 'discriminant_valuation': 28, 'j_denominator_valuation': 28, 'kodaira_symbol': 32, 'lmfdb_label': '442090.b2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 28}
  • id: 10913680
    {'conductor': 442090, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '442090.b2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 10913681
    {'conductor': 442090, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '442090.b2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 10913682
    {'conductor': 442090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '442090.b2', 'prime': 4019, '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: 4388577
    {'adelic_gens': [[3094631, 14, 3094637, 99], [1, 14, 0, 1], [5626601, 14, 2250647, 99], [164781, 14, 1153467, 99], [3094631, 14, 0, 5747171], [1, 0, 14, 1], [8, 5, 91, 57], [6189247, 14, 6189246, 15], [3713557, 14, 1237859, 99]], 'adelic_image': '6189260.96.2.?', 'conductor': 442090, 'lmfdb_label': '442090.b2', 'prime': 0}
  • id: 1482074
    {'conductor': 442090, 'elladic_image': '7.48.0.1', 'lmfdb_label': '442090.b2', 'modell_image': '7B.1.1', 'prime': 7}
• lmfdb_iso 442090.b does not appear in ec_padic