Elliptic curve data - 162288.fc3

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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': '162288ci', 'Clabel': '162288ci2', 'Cnumber': 2, 'abc_quality': 0.9444691501696788, 'absD': 60211077426855936, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3864, 'ainvs': [0, 0, 0, -120099, -10828510], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 162288, 'degree': 1179648, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9238490625188740029589160568', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 132, 'isogeny_degrees': [1, 2], 'jinv': [545338513, 171396], 'lmfdb_iso': '162288.fc', 'lmfdb_label': '162288.fc3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -17, 11], 'min_quad_twist_disc': -84, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '84.12.0.?', '92.12.0.?', '168.24.0.?', '184.24.0.?', '1932.24.0.?', '3864.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 18032], [7, 26, 3312], [23, 24, 7056]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29155933690278280470861505484', 'prec': 107}, 'szpiro_ratio': 3.8927498984079403, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, -8, 0], 'aplist': [0, 0, 2, 0, 0, 2, 2, -8, -1, 2, -8, 2, 10, -8, -8, -2, 4, -2, -8, 0, 6, -8, 16, 18, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 162288, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '162288.fc', 'trace_hash': 1365699480532377172}
• 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': '0.021328776150877572605274174151', 'prec': 107}, 'conductor': 162288, 'gens': [], 'heights': [], 'lmfdb_label': '162288.fc3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26279144927938450874267073865', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1023315942350760699413659092138099219', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-98, 0, 1], [385, 0, 1]], 'xcoord_integral_points': [-287, -98, 385]}
• lmfdb_label 162288.fc3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7252665
    {'degree': 4, 'field': [1, 0, -44, 0, 1], 'lmfdb_label': '162288.fc3', 'torsion': [2, 4]}
  • id: 7252663
    {'degree': 4, 'field': [121, 0, 1, 0, 1], 'lmfdb_label': '162288.fc3', 'torsion': [2, 4]}
  • id: 7252664
    {'degree': 4, 'field': [121, 0, 20, 0, 1], 'lmfdb_label': '162288.fc3', 'torsion': [2, 4]}
  • id: 7252666
    {'degree': 8, 'field': [-1037232, 0, 0, 0, 3528, 0, 49, 0, 1], 'lmfdb_label': '162288.fc3', 'torsion': [2, 6]}
  • id: 7252667
    {'degree': 16, 'field': [14641, 0, -116644, 0, 349694, 0, -464160, 0, 229667, 0, 960, 0, 974, 0, -4, 0, 1], 'lmfdb_label': '162288.fc3', 'torsion': [4, 4]}
  • id: 7252669
    {'degree': 16, 'field': [485809, 0, 526256, 0, 234248, 0, 42288, 0, 482, 0, -144, 0, 200, 0, -16, 0, 1], 'lmfdb_label': '162288.fc3', 'torsion': [2, 8]}
  • id: 7252668
    {'degree': 16, 'field': [26534832, 22542816, -17168384, -10726872, 5356493, -126938, 270458, -202154, 61374, -10916, 5294, -974, -414, 238, -14, -8, 1], 'lmfdb_label': '162288.fc3', 'torsion': [2, 8]}
  • id: 7252670
    {'degree': 16, 'field': [1286400964, -131150608, -2670741432, -1072479456, 588265592, 247403672, -61696620, -18266360, 3925701, 610784, -160824, -22112, 5858, 696, -132, -8, 1], 'lmfdb_label': '162288.fc3', 'torsion': [2, 8]}
• 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: 4016123
    {'conductor': 162288, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '162288.fc3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4016124
    {'conductor': 162288, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '162288.fc3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4016125
    {'conductor': 162288, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '162288.fc3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4016126
    {'conductor': 162288, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '162288.fc3', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2713517
    {'adelic_gens': [[1, 0, 4, 1], [2575, 0, 0, 3863], [1103, 0, 0, 3863], [1, 4, 0, 1], [1933, 924, 2394, 1849], [2435, 2940, 2016, 3485], [2857, 2394, 0, 1], [3861, 4, 3860, 5]], 'adelic_image': '3864.48.0.?', 'conductor': 162288, 'lmfdb_label': '162288.fc3', 'prime': 0}
  • id: 617367
    {'conductor': 162288, 'elladic_image': '8.12.0.3', 'lmfdb_label': '162288.fc3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 162288.fc does not appear in ec_padic