Elliptic curve data - 162288.ba1

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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': '162288db', 'Clabel': '162288db2', 'Cnumber': 2, 'abc_quality': 1.0255381859570742, 'absD': 2394481108105691136, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 3864, 'ainvs': [0, 0, 0, -78788619, -269180355654], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 162288, 'degree': 18247680, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0087335141835437914856733534', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 26, 'isogeny_degrees': [1, 3], 'jinv': [-5702623460245179, 252448], 'lmfdb_iso': '162288.ba', 'lmfdb_label': '162288.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -11166, 456948], 'min_quad_twist_disc': -84, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '84.8.0.?', '552.8.0.?', '3864.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.161158649180586227496942668', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3381], [3, 2, 18032], [7, 32, 3312], [23, 24, 7056]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51867204259485956096933093253', 'prec': 103}, 'szpiro_ratio': 5.514689972755227, '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, 0, 0, 0, -3, 0, 0, 0, 0, 0, 6, 0, -5, 0, 0, 0, -6, 0, 2, 0], 'aplist': [0, 0, -3, 0, 6, -5, -6, 2, -1, -9, -4, -1, -9, -11, 3, -6, 12, -2, 4, 6, -2, 16, -12, -12, -5], 'class_deg': 3, 'class_size': 2, 'conductor': 162288, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '162288.ba', 'trace_hash': 2100159995248901641}
• 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': '0.0024358316800848391260121460865', 'prec': 110}, 'conductor': 162288, 'gens': [[7104909, 16523867808, 19]], 'heights': [{'__RealLiteral__': 0, 'data': '10.161158649180586227496942668', 'prec': 100}], 'lmfdb_label': '162288.ba1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.025336912160716102093517883102', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1192381463262271392742620150272307989', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 162288.ba1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7252859
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '162288.ba1', 'torsion': [3]}
  • id: 7252860
    {'degree': 3, 'field': [24, 0, -1, 1], 'lmfdb_label': '162288.ba1', 'torsion': [2]}
  • id: 7252863
    {'degree': 6, 'field': [336, 0, 88, 0, -11, 0, 1], 'lmfdb_label': '162288.ba1', 'torsion': [6]}
  • id: 7252861
    {'degree': 6, 'field': [7056, 2016, 942, 144, 25, -2, 1], 'lmfdb_label': '162288.ba1', 'torsion': [2, 2]}
  • id: 7252862
    {'degree': 6, 'field': [8121, -3864, 147, -184, -21, 0, 1], 'lmfdb_label': '162288.ba1', 'torsion': [3]}
  • id: 7252864
    {'degree': 12, 'field': [-942956, -7134778, -1262528, 567487, 634441, 155372, 40112, 4142, 1606, 214, 64, -1, 1], 'lmfdb_label': '162288.ba1', 'torsion': [4]}
  • id: 7252866
    {'degree': 12, 'field': [1679616, 1119744, 692064, 97200, -35370, -35964, 5322, 5604, 559, -216, -26, 0, 1], 'lmfdb_label': '162288.ba1', 'torsion': [2, 6]}
  • id: 7252865
    {'degree': 12, 'field': [65950641, 31379544, 13736709, -2420520, -518826, 189336, 53185, 0, 294, -368, 21, 0, 1], 'lmfdb_label': '162288.ba1', 'torsion': [3, 3]}
  • id: 7252868
    {'degree': 18, 'field': [8801061696, -22382873856, 18703762560, 207928560, -6514670736, 2074881648, 374950746, -360206112, 51502932, 17058580, -2321358, 479892, -137274, 3780, 4254, -168, -96, 0, 1], 'lmfdb_label': '162288.ba1', 'torsion': [6]}
  • id: 7252867
    {'degree': 18, 'field': [13363517435625, -1158930139500, 955269239400, -372751911630, 151886225169, -28936968228, 5933388132, -724355226, 247620366, -29492610, 1701441, 1097586, -188607, 30654, 981, 120, 57, -6, 1], 'lmfdb_label': '162288.ba1', 'torsion': [9]}
• 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: 4016235
    {'conductor': 162288, 'conductor_valuation': 4, 'discriminant_valuation': 17, 'j_denominator_valuation': 5, 'kodaira_symbol': -13, 'lmfdb_label': '162288.ba1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4016236
    {'conductor': 162288, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '162288.ba1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4016237
    {'conductor': 162288, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '162288.ba1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4016238
    {'conductor': 162288, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '162288.ba1', 'prime': 23, '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: 2713342
    {'adelic_gens': [[4, 3, 9, 7], [2857, 6, 843, 19], [1103, 3858, 3309, 3845], [2897, 3858, 0, 3863], [1770, 2087, 2573, 786], [1933, 6, 1935, 19], [3859, 6, 3858, 7], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '3864.16.0.?', 'conductor': 162288, 'lmfdb_label': '162288.ba1', 'prime': 0}
  • id: 617247
    {'conductor': 162288, 'elladic_image': '3.4.0.1', 'lmfdb_label': '162288.ba1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 162288.ba does not appear in ec_padic