Elliptic curve data - 53550.t1

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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': '53550cd', 'Clabel': '53550cd1', 'Cnumber': 1, 'abc_quality': 0.8711217764385547, 'absD': 527012325000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1428, 'ainvs': [1, -1, 0, -10242, 1176916], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 53550, 'degree': 172800, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5097449766188405935068349643', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1], 'jinv': [-417267265, 1850688], 'lmfdb_iso': '53550.t', 'lmfdb_label': '53550.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -46, -352], 'min_quad_twist_disc': -15, 'modell_images': [], 'modm_images': ['1428.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.78011536065131944545247502612', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11251977600461450192462720964', 'prec': 107}, 'szpiro_ratio': 3.8091653273234183, '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, 0, 1, 0, 0, -1, -1, 0, 0, 2, 0, 0, 1, 0, 1, -1, 0, 1, 0], 'aplist': [-1, 0, 0, -1, 2, 0, -1, 1, 0, -1, -8, 2, -2, 4, -6, 12, 0, 1, -12, -4, 11, 5, 8, -7, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 53550, 'isogeny_matrix': [[1]], 'lmfdb_iso': '53550.t', 'trace_hash': 812941905652368183}
• 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': '0.048826115614277425229030566723', 'prec': 107}, 'conductor': 53550, 'gens': [[44, 878, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.78011536065131944545247502612', 'prec': 103}], 'lmfdb_label': '53550.t1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.45320250495845236037842307339', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2426028272449334284001000817829929128', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [-81, 44]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [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': '53550.t1'}
• ec_torsion_growth •

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

  
  
  • id: 2591929
    {'degree': 3, 'field': [-213, 37, -1, 1], 'lmfdb_label': '53550.t1', 'torsion': [2]}
  • id: 2591930
    {'degree': 6, 'field': [65808, 20712, 6913, 718, 114, -2, 1], 'lmfdb_label': '53550.t1', 'torsion': [2, 2]}
  • id: 2591931
    {'degree': 8, 'field': [-32, -460, 502, -85, 46, -7, 7, -4, 1], 'lmfdb_label': '53550.t1', 'torsion': [3]}
  • id: 2591932
    {'degree': 12, 'field': [109179, 401724, 1751100, 2679996, 1754987, 588872, 116824, 14152, 1369, 380, 44, -4, 1], 'lmfdb_label': '53550.t1', 'torsion': [4]}
• 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: 1285058
    {'conductor': 53550, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '53550.t1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1285059
    {'conductor': 53550, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '53550.t1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1285060
    {'conductor': 53550, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '53550.t1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1285061
    {'conductor': 53550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '53550.t1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1285062
    {'conductor': 53550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '53550.t1', 'prime': 17, '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

  
  {'adelic_gens': [[409, 2, 409, 3], [953, 2, 953, 3], [1, 0, 2, 1], [1, 2, 0, 1], [715, 2, 715, 3], [1, 1, 1427, 0], [1261, 2, 1261, 3], [1427, 2, 1426, 3]], 'adelic_image': '1428.2.0.?', 'conductor': 53550, 'lmfdb_label': '53550.t1', 'prime': 0}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 2702418
    {'lmfdb_iso': '53550.t', 'p': 11, 'prec': 20, 'unit': 49494355754449755298, 'val': 1}
  • id: 2702419
    {'lmfdb_iso': '53550.t', 'p': 19, 'prec': 20, 'unit': 34422575054858134669407842, 'val': -1}
  • id: 2702416
    {'lmfdb_iso': '53550.t', 'p': 29, 'prec': 20, 'unit': 2286159881837338550146043854, 'val': 1}
  • id: 2702425
    {'lmfdb_iso': '53550.t', 'p': 31, 'prec': 20, 'unit': 21038497852133268634763574086, 'val': 1}
  • id: 2702412
    {'lmfdb_iso': '53550.t', 'p': 37, 'prec': 20, 'unit': 145150158733674415774058561500, 'val': 1}
  • id: 2702414
    {'lmfdb_iso': '53550.t', 'p': 41, 'prec': 20, 'unit': 4069793218191852909232996593616, 'val': 1}
  • id: 2702415
    {'lmfdb_iso': '53550.t', 'p': 43, 'prec': 20, 'unit': 1835010027749351196024229819632, 'val': 1}
  • id: 2702417
    {'lmfdb_iso': '53550.t', 'p': 47, 'prec': 20, 'unit': 29904898679340805592808469481819, 'val': 1}
  • id: 2702420
    {'lmfdb_iso': '53550.t', 'p': 53, 'prec': 20, 'unit': 127272622571316442257527279316101, 'val': 1}
  • id: 2702424
    {'lmfdb_iso': '53550.t', 'p': 61, 'prec': 20, 'unit': 155109031047430312644103931522943669, 'val': -1}
  • id: 2702411
    {'lmfdb_iso': '53550.t', 'p': 67, 'prec': 20, 'unit': 44005346342035837935478135469487868, 'val': 1}
  • id: 2702413
    {'lmfdb_iso': '53550.t', 'p': 71, 'prec': 20, 'unit': 13685161121538583880309903377482748, 'val': 1}
  • id: 2702421
    {'lmfdb_iso': '53550.t', 'p': 73, 'prec': 20, 'unit': 185859770220776023373891640249957694, 'val': 1}
  • id: 2702423
    {'lmfdb_iso': '53550.t', 'p': 79, 'prec': 20, 'unit': 1002348530803955934552404764842850134, 'val': 1}
  • id: 2702410
    {'lmfdb_iso': '53550.t', 'p': 83, 'prec': 20, 'unit': 1795339192253315194617925428427047580, 'val': 1}
  • id: 2702422
    {'lmfdb_iso': '53550.t', 'p': 89, 'prec': 20, 'unit': 2243328711041213975873047636328353748, 'val': 1}
  • id: 2702409
    {'lmfdb_iso': '53550.t', 'p': 97, 'prec': 20, 'unit': 51069428332675981425598393141351986814, 'val': 1}