Elliptic curve data - 286650.ia2

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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': '286650ia', 'Clabel': '286650ia1', 'Cnumber': 1, 'abc_quality': 1.1412084716895636, 'absD': 184958413645824000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 520, 'ainvs': [1, -1, 0, -142452, -298544], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 286650, 'degree': 4128768, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0027152483419424188519933271', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 208, 'isogeny_degrees': [1, 2], 'jinv': [29819839301, 17252352], 'lmfdb_iso': '286650.ia', 'lmfdb_label': '286650.ia2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -323, -63], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '104.6.0.?', '130.6.0.?', '520.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 28665], [3, 8, 31850], [5, 10, 11466], [7, 26, 2925], [13, 14, 22050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.078094551371705826951504503610', 'prec': 107}, 'szpiro_ratio': 3.757267495774524, '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, -1, 0, 1, 0, 0, 0, -1, 0, 0, 6, 0, -1, 0, 0, 1, -4, 0, -2, 0], 'aplist': [-1, 0, 0, 0, 6, -1, -4, -2, 6, 10, -4, -6, 10, 0, 8, 6, -6, 6, -12, 0, -2, -8, -4, 14, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 286650, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '286650.ia', 'trace_hash': 1426149468003893215}
• 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': '0.018216445451073003641303885413', 'prec': 107}, 'conductor': 286650, 'gens': [], 'heights': [], 'lmfdb_label': '286650.ia2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26936223652216757338090143315', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1548978921773405870472114652093280942', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-376, 188, 1]], 'xcoord_integral_points': [-376]}
• lmfdb_label 286650.ia2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12181812
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '286650.ia2', 'torsion': [2, 2]}
  • id: 12181813
    {'degree': 4, 'field': [1831, -158, 159, -2, 1], 'lmfdb_label': '286650.ia2', 'torsion': [4]}
  • id: 12181815
    {'degree': 8, 'field': [-2669684, 3253448, -545497, -13954, -4070, -764, -172, -2, 1], 'lmfdb_label': '286650.ia2', 'torsion': [2, 4]}
  • id: 12181816
    {'degree': 8, 'field': [-2452224, -67320, 126627, 4740, -3681, -1020, -167, 0, 1], 'lmfdb_label': '286650.ia2', 'torsion': [6]}
  • id: 12181814
    {'degree': 8, 'field': [3594816, -1092096, 405288, -53040, 9361, -370, 107, -2, 1], 'lmfdb_label': '286650.ia2', 'torsion': [2, 4]}
  • id: 12181817
    {'degree': 16, 'field': [2219897968836, 948862705248, 349852564192, 42897742592, 4809006372, -1400343520, -354494152, -49646544, -2830715, 1241864, 236788, 21720, 1962, -712, 12, -8, 1], 'lmfdb_label': '286650.ia2', 'torsion': [8]}
  • id: 12181818
    {'degree': 16, 'field': [6141217298176, 2338463037632, -67611598000, -289873611820, -100380153780, -21269790784, -3147897828, -194651350, 38363920, 11168755, 816852, -49871, -12825, -755, 5, -2, 1], 'lmfdb_label': '286650.ia2', 'torsion': [2, 6]}
• 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: 7100668
    {'conductor': 286650, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '286650.ia2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7100669
    {'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '286650.ia2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7100670
    {'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '286650.ia2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7100671
    {'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '286650.ia2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7100672
    {'conductor': 286650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '286650.ia2', '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

  
  
  • id: 3470958
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [82, 1, 479, 0], [1, 4, 0, 1], [457, 66, 64, 455], [517, 4, 516, 5], [108, 1, 103, 0], [261, 4, 2, 9]], 'adelic_image': '520.12.0.?', 'conductor': 286650, 'lmfdb_label': '286650.ia2', 'prime': 0}
  • id: 1016850
    {'conductor': 286650, 'elladic_image': '2.3.0.1', 'lmfdb_label': '286650.ia2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 286650.ia does not appear in ec_padic