Elliptic curve data - 130536.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': '130536bm', 'Clabel': '130536bm2', 'Cnumber': 2, 'abc_quality': 1.0688184652553268, 'absD': 394333903751763564288, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1036, 'ainvs': [0, 0, 0, -7429527, -7852864950], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 130536, 'degree': 7520256, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7765748899790199372439296718', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [-2065624967846736, 17960084863], 'lmfdb_iso': '130536.h', 'lmfdb_label': '130536.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -16847, -847950], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '148.6.0.?', '1036.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.443528894890504325985103396', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79221555074401156604880926731', 'prec': 103}, 'szpiro_ratio': 5.0165044353003365, '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, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, 0, -4, 0, 4, 4, 0, -2, 0, 6, -2, -1, 2, 8, 4, 6, 6, 0, -4, 8, -10, -8, -16, 0, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 130536, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '130536.h', 'trace_hash': 1085554354889722591}
• 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': '0.0038752318722849102848784205501', 'prec': 110}, 'conductor': 130536, 'gens': [[267318009, 4316988148011, 122]], 'heights': [{'__RealLiteral__': 0, 'data': '16.443528894890504325985103396', 'prec': 100}], 'lmfdb_label': '130536.h2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.045698709872691269087491395946', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.0115844500065347489221080960166168141', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[3150, 0, 1]], 'xcoord_integral_points': [3150]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '130536.h2'}
• ec_torsion_growth •

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

  
  
  • id: 5932361
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '130536.h2', 'torsion': [2, 2]}
  • id: 5932362
    {'degree': 4, 'field': [-63, 0, -9, 0, 1], 'lmfdb_label': '130536.h2', 'torsion': [4]}
  • id: 5932365
    {'degree': 8, 'field': [-14, -56, -62, 10, 58, 34, 4, -2, 1], 'lmfdb_label': '130536.h2', 'torsion': [6]}
  • id: 5932364
    {'degree': 8, 'field': [88, 8, 338, -144, 53, -27, 8, -1, 1], 'lmfdb_label': '130536.h2', 'torsion': [2, 4]}
  • id: 5932363
    {'degree': 8, 'field': [2653, -2786, 2720, 142, -95, 26, -4, -4, 1], 'lmfdb_label': '130536.h2', 'torsion': [2, 4]}
  • id: 5932367
    {'degree': 16, 'field': [954, 720, -1818, -738, 1746, -180, -1008, 540, 273, -240, 18, 12, 0, -6, 0, 0, 1], 'lmfdb_label': '130536.h2', 'torsion': [2, 6]}
  • id: 5932366
    {'degree': 16, 'field': [1036389249, 0, -285018048, 0, -99633672, 0, -19425792, 0, -1659890, 0, -5408, 0, -568, 0, 32, 0, 1], 'lmfdb_label': '130536.h2', 'torsion': [8]}
• 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: 3219345
    {'conductor': 130536, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '130536.h2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3219346
    {'conductor': 130536, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '130536.h2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3219347
    {'conductor': 130536, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '130536.h2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3219348
    {'conductor': 130536, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '130536.h2', 'prime': 37, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2514356
    {'adelic_gens': [[1, 0, 4, 1], [594, 1, 739, 0], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1033, 4, 1032, 5], [261, 778, 776, 259], [113, 4, 226, 9]], 'adelic_image': '1036.12.0.?', 'conductor': 130536, 'lmfdb_label': '130536.h2', 'prime': 0}
  • id: 508469
    {'conductor': 130536, 'elladic_image': '2.3.0.1', 'lmfdb_label': '130536.h2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 130536.h does not appear in ec_padic