Elliptic curve data - 444675.gq1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '444675gq', 'Clabel': '444675gq1', 'Cnumber': 1, 'abc_quality': 1.0224943068864925, 'absD': 6516243362059470703125, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 20, 'ainvs': [1, 0, 1, -9065026, 11199323573], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 444675, 'degree': 24385536, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9326760919036575376581911295', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 172, 'isogeny_degrees': [1], 'jinv': [-7558595228569, 597871125], 'lmfdb_iso': '444675.gq', 'lmfdb_label': '444675.gq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7400, -261843], 'min_quad_twist_disc': -35, 'modell_images': [], 'modm_images': ['20.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1786070774828912967832312944', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43103449085000338961058570426', 'prec': 103}, 'szpiro_ratio': 4.5983132516240115, '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, 0, 1, 0, -3, 1, 0, 0, -1, 4, 0, 0, -1, 0, 1, -4, 0], 'aplist': [1, 1, 0, 0, 0, 4, 0, -4, 1, -1, 2, 8, 5, 9, -3, -4, -12, -10, -1, 2, -8, -4, 11, 6, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 444675, 'isogeny_matrix': [[1]], 'lmfdb_iso': '444675.gq', 'trace_hash': 497614522173529314}
• 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': '0.0028360240678301381582494534526', 'prec': 110}, 'conductor': 444675, 'gens': [[-3083, 100766, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1786070774828912967832312944', 'prec': 100}], 'lmfdb_label': '444675.gq1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13097175826985701585564824832', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.966596264767477656112268572079161004', 'prec': 130}, 'tamagawa_product': 84, 'torsion_generators': [], 'xcoord_integral_points': [-3083]}
• lmfdb_label 444675.gq1 does not appear in ec_iwasawa
• lmfdb_label 444675.gq1 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: 10976137
    {'conductor': 444675, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '444675.gq1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 10976138
    {'conductor': 444675, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '444675.gq1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10976139
    {'conductor': 444675, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '444675.gq1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
  • id: 10976140
    {'conductor': 444675, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '444675.gq1', 'prime': 11, 'reduction_type': 0, '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

  
  {'adelic_gens': [[1, 2, 0, 1], [1, 1, 19, 0], [17, 2, 17, 3], [1, 0, 2, 1], [11, 2, 11, 3], [19, 2, 18, 3]], 'adelic_image': '20.2.0.?', 'conductor': 444675, 'lmfdb_label': '444675.gq1', 'prime': 0}
• lmfdb_iso 444675.gq does not appear in ec_padic