Elliptic curve data - 462722.e2

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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': '462722e', 'Clabel': '462722e2', 'Cnumber': 2, 'abc_quality': 1.1290598435864923, 'absD': 890442318442943764920795776, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 26936, 'ainvs': [1, -1, 0, 148259021, 1256313832437], 'analytic_rank': 1, 'bad_primes': [2, 13, 37], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 462722, 'degree': 167311872, 'elladic_images': ['7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8550028950753447816557517861', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 4, 'isogeny_degrees': [1, 7], 'jinv': [4918167786495951, 12151280273024], 'lmfdb_iso': '462722.e', 'lmfdb_label': '462722.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 108297, 24776015], 'min_quad_twist_disc': 37, 'modell_images': ['7B'], 'modm_images': ['7.8.0.a.1', '56.16.0-7.a.1.8', '91.24.0.?', '259.16.0.?', '296.2.0.?', '728.48.0.?', '2072.32.0.?', '3367.48.0.?', '26936.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '94.565984621946606919515210843', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 231361], [7, 2, 231361], [13, 62, 2738], [37, 722, 338]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1945608195993869807872081367', 'prec': 100}, 'szpiro_ratio': 5.307952349675753, '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, 1, 0, 4, -1, -3, -1, -3, 0, 0, -4, 0, 1, 4, 3, 0, 1], 'aplist': [-1, 0, 1, 4, -3, 0, 4, 0, -3, -6, 3, 0, 5, -6, -8, -2, 4, 7, 4, 6, -10, -3, 0, 6, 12], 'class_deg': 7, 'class_size': 2, 'conductor': 462722, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '462722.e', 'trace_hash': 2263370882555712304}
• 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': '0.00044831888129278273355657897373', 'prec': 113}, 'conductor': 462722, 'gens': [[3721501281385665580467489400057522659773277, 7397841108626976939161091172580962012894656852012431723315841921, 8540518911473888516]], 'heights': [{'__RealLiteral__': 0, 'data': '94.565984621946606919515210843', 'prec': 100}], 'lmfdb_label': '462722.e2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.034820217017410179959645539831', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.5856162140025092513607685868137704166', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 462722.e2 does not appear in ec_iwasawa
• lmfdb_label 462722.e2 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: 11412998
    {'conductor': 462722, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '462722.e2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11412999
    {'conductor': 462722, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '462722.e2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11413000
    {'conductor': 462722, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '462722.e2', 'prime': 37, 'reduction_type': 0, '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: 4507822
    {'adelic_gens': [[8, 7, 13461, 26930], [1, 14, 0, 1], [9456, 26929, 15295, 6], [20731, 2, 11942, 26847], [1, 0, 14, 1], [8, 5, 91, 57], [6737, 23096, 13454, 14393], [8, 7, 6727, 26930], [26923, 14, 26922, 15]], 'adelic_image': '26936.96.2.?', 'conductor': 462722, 'lmfdb_label': '462722.e2', 'prime': 0}
  • id: 1541803
    {'conductor': 462722, 'elladic_image': '7.8.0.1', 'lmfdb_label': '462722.e2', 'modell_image': '7B', 'prime': 7}
• lmfdb_iso 462722.e does not appear in ec_padic