Elliptic curve data - 388416.fi3

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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': '388416fi', 'Clabel': '388416fi6', 'Cnumber': 6, 'abc_quality': 1.0817271650752718, 'absD': 1328304093480073402804118841458688, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [0, 1, 0, -5412003969, 1760186229049215], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 388416, 'degree': 1698693120, 'elladic_images': ['16.96.0.214'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.0354564121910437667854226123', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 138, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-2770540998624539614657, 209924951154647363208], 'lmfdb_iso': '388416.fi', 'lmfdb_label': '388416.fi3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -292604, -699871003], 'min_quad_twist_disc': -136, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.k.1.3', '16.96.0-16.e.1.4', '68.12.0-4.c.1.1', '136.96.0.?', '272.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 289], [3, 4, 129472], [7, 8, 55488], [17, 162, 1344]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5791289693230177625348071212', 'prec': 100}, 'szpiro_ratio': 6.506031954962936, '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, 0, 1, 0, -2, 0, 1, 0, 1, 0, -4, 0, 2, 0, -2, 0, 0, 0, 4, 0], 'aplist': [0, 1, -2, 1, -4, 2, 0, 4, 8, 6, 0, -2, -10, -4, 0, -6, -4, 6, -12, -8, 6, 0, -12, -6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 388416, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '388416.fi', 'trace_hash': 1517515013792565579}
• 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': '0.000042291991148788875132139980943', 'prec': 117}, 'conductor': 388416, 'gens': [], 'heights': [], 'lmfdb_label': '388416.fi3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.012574348894209691316030911944', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6095166584588404884519567288261351083', 'prec': 130}, 'tamagawa_product': 512, 'torsion_generators': [[-135615, 0, 1]], 'xcoord_integral_points': [-135615]}
• lmfdb_label 388416.fi3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16059584
    {'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '388416.fi3', 'torsion': [8]}
  • id: 16059583
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '388416.fi3', 'torsion': [2, 2]}
  • id: 16059585
    {'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '388416.fi3', 'torsion': [4]}
  • id: 16059586
    {'degree': 4, 'field': [81, 0, -16, 0, 1], 'lmfdb_label': '388416.fi3', 'torsion': [2, 8]}
  • id: 16059591
    {'degree': 8, 'field': [-9377472, 0, 594728, 0, -10608, 0, 0, 0, 1], 'lmfdb_label': '388416.fi3', 'torsion': [6]}
  • id: 16059590
    {'degree': 8, 'field': [81, -500, 1772, -660, 840, -132, 60, -4, 1], 'lmfdb_label': '388416.fi3', 'torsion': [2, 16]}
  • id: 16059588
    {'degree': 8, 'field': [6953, 18088, 13568, 1008, 222, -56, 32, 0, 1], 'lmfdb_label': '388416.fi3', 'torsion': [8]}
  • id: 16059587
    {'degree': 8, 'field': [14662, -4840, 5132, -568, 245, 44, -10, -4, 1], 'lmfdb_label': '388416.fi3', 'torsion': [2, 4]}
  • id: 16059589
    {'degree': 8, 'field': [11102224, 0, 1586032, 0, 8330, 0, -476, 0, 1], 'lmfdb_label': '388416.fi3', 'torsion': [16]}
  • id: 16059592
    {'degree': 16, 'field': [4285458, 7255416, -1975252, 1775368, 6958058, -2771832, 2005296, -527744, 432883, -54152, 55464, -2520, 3378, -56, 92, 0, 1], 'lmfdb_label': '388416.fi3', 'torsion': [4, 8]}
  • id: 16059596
    {'degree': 16, 'field': [383867667, -792367110, 667926999, -181133082, 73282725, -23388144, 24932238, -6520884, 4373962, -589100, 303358, -22072, 10283, -358, 163, -2, 1], 'lmfdb_label': '388416.fi3', 'torsion': [2, 6]}
  • id: 16059595
    {'degree': 16, 'field': [3751562500, 0, 0, 0, 0, 0, 0, 0, 90748, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '388416.fi3', 'torsion': [16]}
  • id: 16059593
    {'degree': 16, 'field': [13048237512, -635188032, 942086624, -640928960, 388538416, -82369728, 28581280, -944800, 215153, 9624, 2044, -1624, -154, 168, -4, -8, 1], 'lmfdb_label': '388416.fi3', 'torsion': [2, 8]}
  • id: 16059598
    {'degree': 16, 'field': [49329298404, 0, 15196939092, 0, 1420280649, 0, 55191132, 0, 3082920, 0, 56744, 0, -564, 0, 0, 0, 1], 'lmfdb_label': '388416.fi3', 'torsion': [12]}
  • id: 16059597
    {'degree': 16, 'field': [1416133320196, 0, -464870432540, 0, 48744896329, 0, -2765883176, 0, 97265020, 0, -2216918, 0, 32152, 0, -272, 0, 1], 'lmfdb_label': '388416.fi3', 'torsion': [24]}
  • id: 16059594
    {'degree': 16, 'field': [7703711109136, 0, 0, 0, 0, 0, 0, 0, 300453937, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '388416.fi3', 'torsion': [2, 16]}
• 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: 9609581
    {'conductor': 388416, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '388416.fi3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9609582
    {'conductor': 388416, 'conductor_valuation': 1, 'discriminant_valuation': 32, 'j_denominator_valuation': 32, 'kodaira_symbol': 36, 'lmfdb_label': '388416.fi3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 32}
  • id: 9609583
    {'conductor': 388416, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '388416.fi3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9609584
    {'conductor': 388416, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '388416.fi3', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 4076414
    {'adelic_gens': [[188, 203, 249, 126], [257, 16, 256, 17], [1, 16, 0, 1], [162, 203, 23, 126], [1, 0, 16, 1], [5, 4, 268, 269], [15, 2, 174, 259], [131, 256, 224, 43]], 'adelic_image': '272.192.1.?', 'conductor': 388416, 'lmfdb_label': '388416.fi3', 'prime': 0}
  • id: 1325534
    {'conductor': 388416, 'elladic_image': '16.96.0.214', 'lmfdb_label': '388416.fi3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 388416.fi does not appear in ec_padic