Elliptic curve data - 462722.q1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '462722q', 'Clabel': '462722q1', 'Cnumber': 1, 'abc_quality': 0.910040393716602, 'absD': 36184868728996, 'adelic_genus': 0, 'adelic_index': 4, 'adelic_level': 52, 'ainvs': [1, 1, 1, -4820, -318791], 'analytic_rank': 0, 'bad_primes': [2, 13, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 462722, 'degree': 1105920, 'elladic_images': ['4.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2885924342411951733709514302', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1], 'jinv': [-1369, 4], 'lmfdb_iso': '462722.q', 'lmfdb_label': '462722.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -28, -156], 'min_quad_twist_disc': 13, 'modell_images': [], 'modm_images': ['4.2.0.a.1', '52.4.0-4.a.1.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 231361], [13, 86, 2738], [37, 470, 338]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1975215487043146761118241809', 'prec': 103}, 'szpiro_ratio': 2.978569498756785, '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, 1, 2, 0, 1, 1, 1, -2, 2, 0, 0, 2, 1, 3, 1, -2, 1], 'aplist': [1, 2, 1, 0, -2, 0, 3, -2, -6, -9, -10, 0, -3, -8, -2, -6, -8, -5, 6, 0, 2, 6, -2, 13, -3], 'class_deg': 1, 'class_size': 1, 'conductor': 462722, 'isogeny_matrix': [[1]], 'lmfdb_iso': '462722.q', 'trace_hash': 1619566123222264528}
• 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': '0.075987618344917188117209525783', 'prec': 107}, 'conductor': 462722, 'gens': [], 'heights': [], 'lmfdb_label': '462722.q1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26512105286875534066991892342', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1209684229500427253593513873899555484', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 462722.q1 does not appear in ec_iwasawa
• lmfdb_label 462722.q1 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

  
  
  • id: 11413061
    {'conductor': 462722, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '462722.q1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11413062
    {'conductor': 462722, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '462722.q1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 11413063
    {'conductor': 462722, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '462722.q1', 'prime': 37, 'reduction_type': 0, '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

  
  
  • id: 4507843
    {'adelic_gens': [[11, 0, 0, 51], [1, 2, 2, 5], [49, 4, 48, 5], [2, 3, 47, 45], [1, 4, 0, 1], [1, 13, 0, 27], [1, 0, 4, 1]], 'adelic_image': '52.4.0.?', 'conductor': 462722, 'lmfdb_label': '462722.q1', 'prime': 0}
  • id: 1541831
    {'conductor': 462722, 'elladic_image': '4.2.0.1', 'lmfdb_label': '462722.q1', 'modell_image': '2G', 'prime': 2}
• lmfdb_iso 462722.q does not appear in ec_padic