Elliptic curve data - 501367.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': 0.6590785869526948, 'absD': 501367, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1002734, 'ainvs': [1, 1, 0, -9, 32], 'analytic_rank': 1, 'bad_primes': [501367], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 501367, 'degree': 56132, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.22203177656695998365761470459', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-95443993, 501367], 'lmfdb_iso': '501367.a', 'lmfdb_label': '501367.a1', 'lmfdb_number': 1, 'min_quad_twist_ainvs': [1, 1, 0, -9, 32], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['1002734.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 1, 'num_int_pts': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.2542931173014924668835835658', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.22203177656695998365761470459', 'prec': 107}, 'szpiro_ratio': 1.575937212898075, '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, 2, -1, 2, 2, 3, -3, 1, 2, 2, -2, 1, 3, 4, -1, 2, 1, 1, -2], 'aplist': [1, 2, 2, 3, 2, 1, 2, 1, -6, -10, 0, 2, 2, -11, -6, 11, 11, 0, -10, -6, -3, 8, 8, 2, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 501367, 'isogeny_matrix': [[1]], 'lmfdb_iso': '501367.a', 'trace_hash': 1667189977635560118}
• 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': '1.5590295636881673843873997936', 'prec': 100}, 'conductor': 501367, 'gens': [[-2044, 124154, 25]], 'heights': [{'__RealLiteral__': 0, 'data': '8.2542931173014924668835835658', 'prec': 100}], 'lmfdb_label': '501367.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.5477511051738638766699155191', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '21.029884412033895451195665135625764976', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 501367.a1 does not appear in ec_iwasawa
• lmfdb_label 501367.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': 501367, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '501367.a1', 'prime': 501367, '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': [[1, 1, 1002733, 0], [1002733, 2, 1002732, 3], [1, 0, 2, 1], [1, 2, 0, 1], [3, 2, 3, 3]], 'adelic_image': '1002734.2.0.?', 'conductor': 501367, 'lmfdb_label': '501367.a1', 'prime': 0}
• lmfdb_iso 501367.a does not appear in ec_padic