Elliptic curve data - 485520.iq1

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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': '485520iq', 'Clabel': '485520iq3', 'Cnumber': 3, 'abc_quality': 1.0434643593713167, 'absD': 6209389625250000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 7140, 'ainvs': [0, 1, 0, -87085, 9107150], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 485520, 'degree': 3981312, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7718084130871666569037172353', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 224, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [189123395584, 16078125], 'lmfdb_iso': '485520.iq', 'lmfdb_label': '485520.iq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -301, -1960], 'min_quad_twist_disc': -68, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '20.6.0.b.1', '42.24.0.c.1', '60.24.0.p.1', '204.24.0.?', '420.48.1.?', '1020.48.0.?', '1428.48.0.?', '7140.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7336684827588233360810055120', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 6069], [3, 4, 4624], [5, 6, 97104], [7, 8, 69360], [17, 146, 1680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.12415268087241018030653921921', 'prec': 103}, 'szpiro_ratio': 3.4932879391852256, '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, 6, 0, -4, 0, 1, 0, 0, 0, -2, 0], 'aplist': [0, 1, 1, 1, 6, -4, 0, -2, 0, -6, -10, -2, 6, 4, 0, -12, 0, -14, 4, 6, 4, -16, 12, 6, 16], 'class_deg': 6, 'class_size': 4, 'conductor': 485520, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '485520.iq', 'trace_hash': 1430521605588297676}
• 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': '0.028908580460749022517921576190', 'prec': 107}, 'conductor': 485520, 'gens': [[1285, 30345, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7336684827588233360810055120', 'prec': 100}], 'lmfdb_label': '485520.iq1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.41383603257096271444506688608', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.914180760568174654618874955795062196', 'prec': 130}, 'tamagawa_product': 72, 'torsion_generators': [[130, 0, 1]], 'xcoord_integral_points': [130]}
• lmfdb_label 485520.iq1 does not appear in ec_iwasawa
• lmfdb_label 485520.iq1 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: 11969006
    {'conductor': 485520, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '485520.iq1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 11969007
    {'conductor': 485520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '485520.iq1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 11969008
    {'conductor': 485520, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '485520.iq1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 11969009
    {'conductor': 485520, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '485520.iq1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 11969010
    {'conductor': 485520, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '485520.iq1', '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: 4640168
    {'adelic_gens': [[11, 2, 7090, 7131], [2481, 4862, 3094, 1699], [2857, 6732, 6222, 4693], [7129, 12, 7128, 13], [290, 1683, 1513, 2092], [1, 0, 12, 1], [1, 6, 6, 37], [1990, 1683, 5253, 2092], [1, 12, 0, 1], [5879, 0, 0, 7139]], 'adelic_image': '7140.96.1.?', 'conductor': 485520, 'lmfdb_label': '485520.iq1', 'prime': 0}
  • id: 1607761
    {'conductor': 485520, 'elladic_image': '2.3.0.1', 'lmfdb_label': '485520.iq1', 'modell_image': '2B', 'prime': 2}
  • id: 1607762
    {'conductor': 485520, 'elladic_image': '3.4.0.1', 'lmfdb_label': '485520.iq1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 485520.iq does not appear in ec_padic