Elliptic curve data - 212160.fi2

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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': '212160bt', 'Clabel': '212160bt2', 'Cnumber': 2, 'abc_quality': 0.8551938712460835, 'absD': 2880759398400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26520, 'ainvs': [0, 1, 0, 1599, 78399], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 212160, 'degree': 327680, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0725531165576231749971126714', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 138, 'isogeny_degrees': [1, 2], 'jinv': [1723683599, 10989225], 'lmfdb_iso': '212160.fi', 'lmfdb_label': '212160.fi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 25, -150], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '12.12.0-4.a.1.1', '4420.12.0.?', '8840.24.0.?', '13260.24.0.?', '26520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 70720], [5, 6, 42432], [13, 14, 16320], [17, 18, 12480]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.032832345717705210871264489214', 'prec': 107}, 'szpiro_ratio': 2.939123904174401, '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, -1, 0, 2, 0, 1, 0, 0, 0, 1, 0, -1, 0, -1, 0, 2, 0], 'aplist': [0, 1, -1, 2, 0, 1, -1, 2, 0, 10, 4, -2, 6, 6, 8, 2, 10, -10, -8, 12, -6, 14, 16, -10, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 212160, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '212160.fi', 'trace_hash': 1405297213649409946}
• 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': '0.11705560120241620140678823924', 'prec': 103}, 'conductor': 212160, 'gens': [], 'heights': [], 'lmfdb_label': '212160.fi2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.58298084596902437069888002824', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6638467677521949655910402259371596145', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-31, 0, 1]], 'xcoord_integral_points': [-31]}
• lmfdb_label 212160.fi2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9263819
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '212160.fi2', 'torsion': [2, 2]}
  • id: 9263820
    {'degree': 4, 'field': [-576, 0, -46, 0, 1], 'lmfdb_label': '212160.fi2', 'torsion': [4]}
  • id: 9263823
    {'degree': 8, 'field': [-3888, 0, -1656, 0, 216, 0, 0, 0, 1], 'lmfdb_label': '212160.fi2', 'torsion': [6]}
  • id: 9263821
    {'degree': 8, 'field': [20736, 0, 0, 0, 817, 0, 0, 0, 1], 'lmfdb_label': '212160.fi2', 'torsion': [2, 4]}
  • id: 9263822
    {'degree': 8, 'field': [1221025, 0, -53040, 0, 1199, 0, -48, 0, 1], 'lmfdb_label': '212160.fi2', 'torsion': [2, 4]}
  • id: 9263826
    {'degree': 16, 'field': [59049, 0, 0, 0, 69093, 0, 0, 0, 2430, 0, 0, 0, -108, 0, 0, 0, 1], 'lmfdb_label': '212160.fi2', 'torsion': [2, 6]}
  • id: 9263824
    {'degree': 16, 'field': [429981696, 0, 0, 0, -16941312, 0, 0, 0, 646753, 0, 0, 0, -817, 0, 0, 0, 1], 'lmfdb_label': '212160.fi2', 'torsion': [4, 4]}
  • id: 9263825
    {'degree': 16, 'field': [688747536, 0, 131466203712, 0, 15636962520, 0, 547165152, 0, 2892609, 0, -278652, 0, -7970, 0, -92, 0, 1], 'lmfdb_label': '212160.fi2', 'torsion': [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: 5257639
    {'conductor': 212160, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '212160.fi2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5257640
    {'conductor': 212160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '212160.fi2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5257641
    {'conductor': 212160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '212160.fi2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5257642
    {'conductor': 212160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '212160.fi2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5257643
    {'conductor': 212160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '212160.fi2', 'prime': 17, '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: 3020992
    {'adelic_gens': [[19889, 26512, 3313, 26503], [26513, 8, 26512, 9], [17681, 8, 8842, 17], [1, 0, 8, 1], [5, 8, 48, 77], [21217, 6, 0, 1], [13259, 26512, 26518, 26503], [3, 8, 10, 27], [12481, 6, 0, 1], [24481, 6, 0, 1], [1, 8, 0, 1]], 'adelic_image': '26520.48.0.?', 'conductor': 212160, 'lmfdb_label': '212160.fi2', 'prime': 0}
  • id: 781938
    {'conductor': 212160, 'elladic_image': '4.6.0.5', 'lmfdb_label': '212160.fi2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 212160.fi does not appear in ec_padic