Elliptic curve data - 286650.ib1

Formats: - HTML - YAML - JSON - 2026-06-18T04:07:43.837139

• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '286650ib', 'Clabel': '286650ib1', 'Cnumber': 1, 'abc_quality': 0.9883605189879866, 'absD': 898728929280000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1092, 'ainvs': [1, -1, 0, 21558, -777484], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 286650, 'degree': 1612800, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5571637401589045646332352612', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 209, 'isogeny_degrees': [1], 'jinv': [262586475, 212992], 'lmfdb_iso': '286650.ib', 'lmfdb_label': '286650.ib1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 21558, -777484], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['1092.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0717651727168818853738482584', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 6825], [3, 2, 31850], [5, 14, 11466], [7, 20, 2925], [13, 14, 22050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28975231775070615505645663009', 'prec': 107}, 'szpiro_ratio': 3.3064640069468214, '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, 6, 0, -1, 0, 0, 1, -3, 0, -4, 0], 'aplist': [-1, 0, 0, 0, 6, -1, -3, -4, 3, 6, 4, 6, 6, -6, 5, -2, 15, -2, -3, 16, -17, -14, 0, -6, -5], 'class_deg': 1, 'class_size': 1, 'conductor': 286650, 'isogeny_matrix': [[1]], 'lmfdb_iso': '286650.ib', 'trace_hash': 2043610543623752888}
• 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': '0.044408362605077763478275225359', 'prec': 107}, 'conductor': 286650, 'gens': [[205, 3394, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.0717651727168818853738482584', 'prec': 100}], 'lmfdb_label': '286650.ib1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.27626207332480724691519780197', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7888977230536033653574814159799754716', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [205]}
• lmfdb_label 286650.ib1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12181826
    {'degree': 3, 'field': [162, -8, -1, 1], 'lmfdb_label': '286650.ib1', 'torsion': [2]}
  • id: 12181827
    {'degree': 6, 'field': [22113, 0, 1647, 0, 111, 0, 1], 'lmfdb_label': '286650.ib1', 'torsion': [2, 2]}
  • id: 12181828
    {'degree': 8, 'field': [-9408, 0, 2352, 0, -336, 0, 0, 0, 1], 'lmfdb_label': '286650.ib1', 'torsion': [3]}
  • id: 12181829
    {'degree': 12, 'field': [-101250513, 0, -12557916, 0, -810117, 0, -7056, 0, 21, 0, -84, 0, 1], 'lmfdb_label': '286650.ib1', '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: 7100678
    {'conductor': 286650, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '286650.ib1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7100679
    {'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '286650.ib1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7100680
    {'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '286650.ib1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7100681
    {'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '286650.ib1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7100682
    {'conductor': 286650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '286650.ib1', 'prime': 13, 'reduction_type': -1, '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

  
  {'adelic_gens': [[157, 2, 157, 3], [1, 1, 1091, 0], [1, 2, 0, 1], [1, 0, 2, 1], [547, 2, 547, 3], [1091, 2, 1090, 3], [925, 2, 925, 3], [365, 2, 365, 3]], 'adelic_image': '1092.2.0.?', 'conductor': 286650, 'lmfdb_label': '286650.ib1', 'prime': 0}
• lmfdb_iso 286650.ib does not appear in ec_padic