Elliptic curve data - 193600.iw1

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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': '193600ez', 'Clabel': '193600ez2', 'Cnumber': 2, 'abc_quality': 0.8175916232802823, 'absD': 68594841920000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, -1, 0, -125033, -11395063], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 193600, 'degree': 2211840, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9344691187965727223404547043', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 230, 'isogeny_degrees': [1, 2], 'jinv': [1906624, 605], 'lmfdb_iso': '193600.iw', 'lmfdb_label': '193600.iw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -10, -12], 'min_quad_twist_disc': 440, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '44.6.0.b.1', '220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.197692169109713801480597372', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3025], [5, 18, 7744], [11, 72, 1600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76234465437960804640812887276', 'prec': 107}, 'szpiro_ratio': 3.846257835689724, '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, 2, 0, 0, 0, 4, 0, 1, 0, 0, 0, -4, 0, 0, 0, 4, 0, 4, 0], 'aplist': [0, 2, 0, 4, 0, -4, 4, 4, 6, -10, -4, 2, 10, -8, -6, 2, -4, -10, 2, 0, 12, 8, 0, -10, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 193600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '193600.iw', 'trace_hash': 1305848409812074739}
• 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': '0.020880527819131856694015388570', 'prec': 107}, 'conductor': 193600, 'gens': [[-6447503, 7881174433, 252]], 'heights': [{'__RealLiteral__': 0, 'data': '13.197692169109713801480597372', 'prec': 100}], 'lmfdb_label': '193600.iw1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26024204344261361131297528612', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '13.738377515262766411236926593913031404', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-293, 0, 1]], 'xcoord_integral_points': [-293]}
• lmfdb_label 193600.iw1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8517530
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '193600.iw1', 'torsion': [2, 2]}
  • id: 8517531
    {'degree': 4, 'field': [5, 0, 8, 0, 1], 'lmfdb_label': '193600.iw1', 'torsion': [4]}
  • id: 8517534
    {'degree': 8, 'field': [-1098075, 0, -212960, 0, -3630, 0, 0, 0, 1], 'lmfdb_label': '193600.iw1', 'torsion': [6]}
  • id: 8517532
    {'degree': 8, 'field': [81, 0, 180, 0, 107, 0, 20, 0, 1], 'lmfdb_label': '193600.iw1', 'torsion': [2, 4]}
  • id: 8517533
    {'degree': 8, 'field': [961, 0, -492, 0, 99, 0, -18, 0, 1], 'lmfdb_label': '193600.iw1', 'torsion': [2, 4]}
  • id: 8517535
    {'degree': 16, 'field': [48400, 0, 929280, 0, 983136, 0, 464640, 0, 134616, 0, 20608, 0, 1624, 0, 64, 0, 1], 'lmfdb_label': '193600.iw1', 'torsion': [8]}
  • id: 8517536
    {'degree': 16, 'field': [945209, 22602280, -12229868, -18516960, 3857410, 6005768, -1199504, -705992, 195675, -7160, -4288, 3224, -598, 0, 20, -8, 1], 'lmfdb_label': '193600.iw1', 'torsion': [2, 6]}
• 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: 4794976
    {'conductor': 193600, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '193600.iw1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4794977
    {'conductor': 193600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '193600.iw1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4794978
    {'conductor': 193600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '193600.iw1', '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: 2906766
    {'adelic_gens': [[134, 1, 43, 0], [1, 2, 2, 5], [217, 4, 216, 5], [3, 4, 8, 11], [101, 4, 202, 9], [1, 4, 0, 1], [169, 56, 164, 55], [1, 0, 4, 1]], 'adelic_image': '220.12.0.?', 'conductor': 193600, 'lmfdb_label': '193600.iw1', 'prime': 0}
  • id: 721070
    {'conductor': 193600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '193600.iw1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 193600.iw does not appear in ec_padic