Elliptic curve data - 443822.g2

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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': '443822g', 'Clabel': '443822g1', 'Cnumber': 1, 'abc_quality': 0.9613126805385601, 'absD': 1836040353680982016, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 83740, 'ainvs': [1, 0, 1, -1179839, 488841490], 'analytic_rank': 0, 'bad_primes': [2, 53, 79], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 443822, 'degree': 7238400, 'elladic_images': ['5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3225366045662357293466871459', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 5], 'jinv': [8194759433281, 82837504], 'lmfdb_iso': '443822.g', 'lmfdb_label': '443822.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -420, 3109], 'min_quad_twist_disc': 53, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '265.24.0.?', '316.2.0.?', '1580.24.1.?', '83740.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.33739064779017481227445257639', 'prec': 103}, 'szpiro_ratio': 4.118705743401691, '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, 3, -1, -2, 1, 2, 1, -1, -3, -1, 1, -2, 2, 0, -1], 'aplist': [-1, 1, -1, 3, 2, -1, -2, 0, 6, -10, -2, -2, -2, 4, 3, 0, 5, -12, -8, 13, 6, 1, 6, -15, 13], 'class_deg': 5, 'class_size': 2, 'conductor': 443822, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '443822.g', 'trace_hash': 1812607448404364330}
• 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': '0.0096088261800906826152793900737', 'prec': 110}, 'conductor': 443822, 'gens': [], 'heights': [], 'lmfdb_label': '443822.g2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26516811933408572713952916890', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0606724773363429085581166755938907677', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 443822.g2 does not appear in ec_iwasawa
• lmfdb_label 443822.g2 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: 10956155
    {'conductor': 443822, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '443822.g2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10956156
    {'conductor': 443822, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '443822.g2', 'prime': 53, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10956157
    {'conductor': 443822, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '443822.g2', 'prime': 79, '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: 4398816
    {'adelic_gens': [[41871, 1590, 0, 75367], [1, 0, 10, 1], [6, 13, 83685, 83621], [83731, 10, 83730, 11], [25441, 1590, 2385, 7951], [41871, 1590, 795, 7951], [25279, 0, 0, 83739], [1, 10, 0, 1]], 'adelic_image': '83740.48.1.?', 'conductor': 443822, 'lmfdb_label': '443822.g2', 'prime': 0}
  • id: 1487375
    {'conductor': 443822, 'elladic_image': '5.12.0.1', 'lmfdb_label': '443822.g2', 'modell_image': '5B.4.1', 'prime': 5}
• lmfdb_iso 443822.g does not appear in ec_padic