Elliptic curve data - 4732603.a1

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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[]

  
  {'abc_quality': 0.7371658762717279, 'absD': 4732603, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 9465206, 'ainvs': [0, 1, 1, -1930, 32000], 'analytic_rank': 4, 'bad_primes': [4732603], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 4732603, 'degree': 6784000, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.46958693885187758819944435300', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-795464207036416, 4732603], 'lmfdb_iso': '4732603.a', 'lmfdb_label': '4732603.a1', 'lmfdb_number': 1, 'min_quad_twist_ainvs': [0, 1, 1, -1930, 32000], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['9465206.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 1, 'num_int_pts': 38, 'potential_good_reduction': False, 'rank': 4, 'regulator': {'__RealLiteral__': 0, 'data': '8.2436413829977635285130334349', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46958693885187758819944435300', 'prec': 103}, 'szpiro_ratio': 2.23226991968265, '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, -2, -2, 2, -4, 4, 0, 0, 1, 8, -3, -4, -6, 0, 8, -4, 0, -2, -6, -8], 'aplist': [-2, -2, -4, 0, -3, -6, 0, -6, -6, -9, -4, -7, 0, 2, -12, -10, -14, -4, -5, -12, 14, -11, -10, -8, -3], 'class_deg': 1, 'class_size': 1, 'conductor': 4732603, 'isogeny_matrix': [[1]], 'lmfdb_iso': '4732603.a', 'trace_hash': 1424341197971609849}
• 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': '0.39095067505702023248459844660', 'prec': 103}, 'conductor': 4732603, 'gens': [[25, 0, 1], [26, 8, 1], [23, 17, 1], [19, 50, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0056555161542687768179296307', 'prec': 100}, {'__RealLiteral__': 0, 'data': '1.7173500770909240959402228714', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.0270414664170923307647096185', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.5921770387950887588871482612', 'prec': 100}], 'lmfdb_label': '4732603.a1', 'ngens': 4, 'rank_bounds': [4, 4], 'real_period': {'__RealLiteral__': 0, 'data': '2.1711540376645000751156623131', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '17.898215273753757765131033369987894355', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': [-51, -44, -41, -26, -10, 12, 19, 23, 25, 26, 29, 32, 85, 197, 246, 452, 935, 1027, 17245]}
• lmfdb_label 4732603.a1 does not appear in ec_iwasawa
• lmfdb_label 4732603.a1 does not appear in ec_torsion_growth
• 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

  
  {'conductor': 4732603, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4732603.a1', 'prime': 4732603, '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': [[9465205, 2, 9465204, 3], [1, 0, 2, 1], [1, 2, 0, 1], [3, 2, 3, 3], [1, 1, 9465205, 0]], 'adelic_image': '9465206.2.0.?', 'conductor': 4732603, 'lmfdb_label': '4732603.a1', 'prime': 0}
• lmfdb_iso 4732603.a does not appear in ec_padic