Elliptic curve data - 195195.h2

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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': '195195k', 'Clabel': '195195k1', 'Cnumber': 1, 'abc_quality': 0.8162134428945396, 'absD': 178069937740695, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 20020, 'ainvs': [1, 0, 0, 10559, -486760], 'analytic_rank': 2, 'bad_primes': [3, 5, 7, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 195195, 'degree': 602112, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4201500628871278095312490575', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [26973008999, 36891855], 'lmfdb_iso': '195195.h', 'lmfdb_label': '195195.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 62, -217], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '110.6.0.?', '364.6.0.?', '20020.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 15, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '3.6731353775590474043808891643', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13767538415635944150450533672', 'prec': 103}, 'szpiro_ratio': 3.2604343762650996, '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, -1, 1, -1, -1, -1, -1, 3, 1, 1, -1, -1, 0, 1, -1, -1, -6, -1, -2, 1], 'aplist': [-1, 1, -1, -1, -1, 0, -6, -2, -2, -6, 4, -12, -6, 4, 6, -6, -8, -8, 4, 0, 6, -2, 0, 10, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 195195, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '195195.h', 'trace_hash': 1915584621698937316}
• 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': '0.058408133547363561121022202827', 'prec': 107}, 'conductor': 195195, 'gens': [[209, 3191, 1], [41, 104, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.93633194503719053356500245636', 'prec': 103}, {'__RealLiteral__': 0, 'data': '4.0023246704301088321667571749', 'prec': 100}], 'lmfdb_label': '195195.h2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.30349699632022184498601118541', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.9182844333337190986923523815401087249', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[40, -20, 1]], 'xcoord_integral_points': [40, 41, 44, 131, 209, 1721, 15419, 15665]}
• lmfdb_label 195195.h2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8582571
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '195195.h2', 'torsion': [2, 2]}
  • id: 8582572
    {'degree': 4, 'field': [534, -182, -41, 0, 1], 'lmfdb_label': '195195.h2', 'torsion': [4]}
  • id: 8582575
    {'degree': 8, 'field': [-4500129, -420936, 413502, 14867, -7430, -7, 7, -4, 1], 'lmfdb_label': '195195.h2', 'torsion': [6]}
  • id: 8582573
    {'degree': 8, 'field': [168246, 203970, 43247, -12758, 4969, -378, -31, -2, 1], 'lmfdb_label': '195195.h2', 'torsion': [2, 4]}
  • id: 8582574
    {'degree': 8, 'field': [2768896, 0, 4537, 0, -3106, 0, -2, 0, 1], 'lmfdb_label': '195195.h2', 'torsion': [2, 4]}
  • id: 8582576
    {'degree': 16, 'field': [703289762256, -359820091072, 414720642704, -113918663152, 67415441060, -13005134488, 5108924624, -685160140, 198773849, -18615260, 4009096, -147548, 17554, 3220, -440, -8, 1], 'lmfdb_label': '195195.h2', 'torsion': [8]}
  • id: 8582577
    {'degree': 16, 'field': [139585363890625, 0, -1753519150000, 0, 142915615000, 0, -865929375, 0, -55464000, 0, 1403775, 0, -9575, 0, 110, 0, 1], 'lmfdb_label': '195195.h2', '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: 4834385
    {'conductor': 195195, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '195195.h2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4834386
    {'conductor': 195195, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '195195.h2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4834387
    {'conductor': 195195, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '195195.h2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4834388
    {'conductor': 195195, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '195195.h2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4834389
    {'conductor': 195195, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '195195.h2', 'prime': 13, '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: 2916517
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [11441, 4, 2862, 9], [1, 2, 2, 5], [1, 4, 0, 1], [16941, 4, 13862, 9], [12014, 1, 4003, 0], [12742, 1, 3639, 0], [5009, 15016, 5004, 15015], [20017, 4, 20016, 5]], 'adelic_image': '20020.12.0.?', 'conductor': 195195, 'lmfdb_label': '195195.h2', 'prime': 0}
  • id: 726232
    {'conductor': 195195, 'elladic_image': '2.3.0.1', 'lmfdb_label': '195195.h2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 195195.h does not appear in ec_padic