Elliptic curve data - 485520.ho1

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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': '485520ho', 'Clabel': '485520ho4', 'Cnumber': 4, 'abc_quality': 1.0111434690046417, 'absD': 7403204215445803087185838080, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [0, 1, 0, -3902175200, -93732701601420], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 485520, 'degree': 495452160, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2614621017603612701747005017', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 196, 'isogeny_degrees': [1, 2, 4], 'jinv': [66464620505913166201729, 74880071980801920], 'lmfdb_iso': '485520.ho', 'lmfdb_label': '485520.ho1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -843896, 298027200], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '120.24.0.?', '136.24.0.?', '1020.12.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2037292980679889675668612471', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1517082491723079206327010713', 'prec': 100}, 'szpiro_ratio': 5.9473113211140785, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, 0, 1, 0, 1, 0, 1, 0, 1, 0, -4, 0, -6, 0, 1, 0, 0, 0, 4, 0], 'aplist': [0, 1, 1, 1, -4, -6, 0, 4, -4, -2, -4, 6, 2, 0, -8, -10, 8, 6, 0, 0, -6, 12, 12, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 485520, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '485520.ho', 'trace_hash': 409678650260241862}
• 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': '0.00019885707576364901543096227401', 'prec': 113}, 'conductor': 485520, 'gens': [[80668, 10790094, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '6.2037292980679889675668612471', 'prec': 100}], 'lmfdb_label': '485520.ho1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.019103029286116383855320990757', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.4808017971304824319705272753257223207', 'prec': 130}, 'tamagawa_product': 320, 'torsion_generators': [[-36981, 0, 1]], 'xcoord_integral_points': [-36981, 80668]}
• lmfdb_label 485520.ho1 does not appear in ec_iwasawa
• lmfdb_label 485520.ho1 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: 11968621
    {'conductor': 485520, 'conductor_valuation': 4, 'discriminant_valuation': 19, 'j_denominator_valuation': 7, 'kodaira_symbol': -15, 'lmfdb_label': '485520.ho1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11968622
    {'conductor': 485520, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '485520.ho1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 11968623
    {'conductor': 485520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '485520.ho1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 11968624
    {'conductor': 485520, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '485520.ho1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 11968625
    {'conductor': 485520, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '485520.ho1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 4640089
    {'adelic_gens': [[7, 6, 2034, 2035], [1272, 247, 1247, 1200], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1228, 1, 431, 6], [2033, 8, 2032, 9], [256, 1283, 769, 798], [1799, 2032, 1076, 2007], [1364, 1, 703, 6]], 'adelic_image': '2040.48.0.?', 'conductor': 485520, 'lmfdb_label': '485520.ho1', 'prime': 0}
  • id: 1607663
    {'conductor': 485520, 'elladic_image': '8.12.0.6', 'lmfdb_label': '485520.ho1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 485520.ho does not appear in ec_padic