Elliptic curve data - 286650.bl1

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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': '286650bl', 'Clabel': '286650bl1', 'Cnumber': 1, 'abc_quality': 1.0063954697655964, 'absD': 925709958153178395996093750, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -73288917, -1483614472509], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 286650, 'degree': 180633600, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8552366594123438859002024756', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 37, 'isogeny_degrees': [1], 'jinv': [-662989657192009, 14097531093750], 'lmfdb_iso': '286650.bl', 'lmfdb_label': '286650.bl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -6648, -1282172], 'min_quad_twist_disc': 105, 'modell_images': [], 'modm_images': ['1560.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.145083220214354916185019677', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2039381261576966494986316949', 'prec': 100}, 'szpiro_ratio': 5.536692636363927, '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, 0, 0, 0, -1, 0, 0, -4, 0, 1, 0, 0, 1, 5, 0, 7, 0], 'aplist': [-1, 0, 0, 0, -4, 1, 5, 7, -8, -2, -2, -6, 11, 7, 0, -6, -14, 10, -10, 1, 1, -13, -17, 15, 1], 'class_deg': 1, 'class_size': 1, 'conductor': 286650, 'isogeny_matrix': [[1]], 'lmfdb_iso': '286650.bl', 'trace_hash': 316518596953413861}
• 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': '0.00044810932835050523660160386688', 'prec': 113}, 'conductor': 286650, 'gens': [[38023791, 8999047551, 53]], 'heights': [{'__RealLiteral__': 0, 'data': '12.145083220214354916185019677', 'prec': 100}], 'lmfdb_label': '286650.bl1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.021462160072591515682147990564', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2131944033437143709826448787487110584', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 286650.bl1 does not appear in ec_iwasawa
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 12179400
    {'degree': 3, 'field': [-104, -16, -1, 1], 'lmfdb_label': '286650.bl1', 'torsion': [2]}
  • id: 12179401
    {'degree': 6, 'field': [305760, 0, 2401, 0, -98, 0, 1], 'lmfdb_label': '286650.bl1', 'torsion': [2, 2]}
  • id: 12179402
    {'degree': 8, 'field': [-103844, -11011, 12142, -2263, 1135, -7, 7, -4, 1], 'lmfdb_label': '286650.bl1', 'torsion': [3]}
  • id: 12179403
    {'degree': 12, 'field': [63568, 70608, 443874, -222854, -215613, -84096, 6324, 5598, 2493, -68, -24, -6, 1], 'lmfdb_label': '286650.bl1', 'torsion': [4]}
• 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: 7099193
    {'conductor': 286650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '286650.bl1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7099194
    {'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '286650.bl1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7099195
    {'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '286650.bl1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7099196
    {'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '286650.bl1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7099197
    {'conductor': 286650, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '286650.bl1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
• 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': [[521, 2, 521, 3], [781, 2, 781, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 1559, 0], [1559, 2, 1558, 3], [937, 2, 937, 3], [391, 2, 0, 1], [1081, 2, 1081, 3]], 'adelic_image': '1560.2.0.?', 'conductor': 286650, 'lmfdb_label': '286650.bl1', 'prime': 0}
• lmfdb_iso 286650.bl does not appear in ec_padic