Elliptic curve data - 193600.gg2

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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': '193600dq', 'Clabel': '193600dq1', 'Cnumber': 1, 'abc_quality': 0.9443840180226643, 'absD': 7981945241600000000000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, 1, 0, 1931967, -4171695937], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 193600, 'degree': 11059200, 'elladic_images': ['5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8837439880019247263451072617', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 162, 'isogeny_degrees': [1, 5], 'jinv': [109902239, 1100000], 'lmfdb_iso': '193600.gg', 'lmfdb_label': '193600.gg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 10, -45], 'min_quad_twist_disc': 440, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '20.24.0-5.a.1.4', '440.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4832604541273481657191676102', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3025], [5, 14, 7744], [11, 72, 1600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15964337545422869711209237609', 'prec': 107}, 'szpiro_ratio': 4.750186579053409, '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, 0, 1, 0, 0, 0, -3, 0, -2, 0, 0, 0, 6, 0, 0, 0, -7, 0, -5, 0], 'aplist': [0, 1, 0, -3, 0, 6, -7, -5, -6, 5, 3, 3, -2, 4, -2, -1, -10, 7, -8, -7, 14, 10, -6, -15, 12], 'class_deg': 5, 'class_size': 2, 'conductor': 193600, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '193600.gg', 'trace_hash': 2148757668337822438}
• 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': '0.0031276042713977182372110989436', 'prec': 110}, 'conductor': 193600, 'gens': [[1903, 80000, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4832604541273481657191676102', 'prec': 100}], 'lmfdb_label': '193600.gg2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.064813612942087013088892315548', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1526700138313058216666394774549032205', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [], 'xcoord_integral_points': [1903, 2593]}
• lmfdb_label 193600.gg2 does not appear in ec_iwasawa
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 8517109
    {'degree': 2, 'field': [-110, 0, 1], 'lmfdb_label': '193600.gg2', 'torsion': [5]}
  • id: 8517110
    {'degree': 3, 'field': [-8, 2, 0, 1], 'lmfdb_label': '193600.gg2', 'torsion': [2]}
  • id: 8517112
    {'degree': 6, 'field': [-10, 20, 1, -20, -2, 0, 1], 'lmfdb_label': '193600.gg2', 'torsion': [10]}
  • id: 8517111
    {'degree': 6, 'field': [16, -32, 118, 16, -7, -2, 1], 'lmfdb_label': '193600.gg2', 'torsion': [2, 2]}
  • id: 8517113
    {'degree': 8, 'field': [-3630000, 0, 308000, 0, -6600, 0, 0, 0, 1], 'lmfdb_label': '193600.gg2', 'torsion': [3]}
  • id: 8517114
    {'degree': 12, 'field': [-5120, 3280, 3390, -280, -1807, 72, 576, 80, -64, -32, 14, 0, 1], 'lmfdb_label': '193600.gg2', 'torsion': [4]}
  • id: 8517115
    {'degree': 12, 'field': [100, 0, 420, 0, 841, 0, 424, 0, 6, 0, 4, 0, 1], 'lmfdb_label': '193600.gg2', 'torsion': [2, 10]}
  • id: 8517116
    {'degree': 16, 'field': [1317690000, 0, -3517833000, 0, -355727900, 0, -8276400, 0, 762300, 0, 15180, 0, -660, 0, 0, 0, 1], 'lmfdb_label': '193600.gg2', 'torsion': [15]}
  • id: 8517117
    {'degree': 20, 'field': [247808000, 0, -179660800, 0, 63222016, 0, -2787840, 0, -727936, 0, 330880, 0, -27984, 0, 3520, 0, 264, 0, 0, 0, 1], 'lmfdb_label': '193600.gg2', 'torsion': [5]}
• 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: 4794811
    {'conductor': 193600, 'conductor_valuation': 6, 'discriminant_valuation': 23, 'j_denominator_valuation': 5, 'kodaira_symbol': -17, 'lmfdb_label': '193600.gg2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4794812
    {'conductor': 193600, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '193600.gg2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4794813
    {'conductor': 193600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '193600.gg2', 'prime': 11, 'reduction_type': 0, '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: 2906655
    {'adelic_gens': [[219, 430, 215, 389], [329, 430, 0, 439], [431, 10, 430, 11], [1, 0, 10, 1], [1, 10, 0, 1], [119, 430, 155, 389], [6, 13, 385, 321], [329, 210, 325, 323]], 'adelic_image': '440.48.1.?', 'conductor': 193600, 'lmfdb_label': '193600.gg2', 'prime': 0}
  • id: 720935
    {'conductor': 193600, 'elladic_image': '5.12.0.1', 'lmfdb_label': '193600.gg2', 'modell_image': '5B.4.1', 'prime': 5}
• lmfdb_iso 193600.gg does not appear in ec_padic