Elliptic curve data - 52416.fl2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '52416fx', 'Clabel': '52416fx2', 'Cnumber': 2, 'abc_quality': 1.086555412536647, 'absD': 2118677843423232, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1092, 'ainvs': [0, 0, 0, -184404, -30559552], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 52416, 'degree': 245760, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8094271169566607179435568151', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 141, 'isogeny_degrees': [1, 2], 'jinv': [-232245467895232, 709540923], 'lmfdb_iso': '52416.fl', 'lmfdb_label': '52416.fl2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -5122, -139772], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '364.6.0.?', '1092.12.0.?'], '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, 2, 9], [3, 8, 448], [7, 8, 7488], [13, 14, 4032]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56697379206266056282870207518', 'prec': 103}, 'szpiro_ratio': 4.416459581045783, '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, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 4, 0, 4, 0], 'aplist': [0, 0, 2, 1, 0, -1, 4, 4, 6, -6, 0, 6, 6, -4, 2, -6, -6, 14, 4, 4, 6, 4, -6, 2, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 52416, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '52416.fl', 'trace_hash': 860813734452393942}
• 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': '0.026813380761670016166938306681', 'prec': 107}, 'conductor': 52416, 'gens': [], 'heights': [], 'lmfdb_label': '52416.fl2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11517216175906507196370526723', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6855091762900823028385685512413015689', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[496, 0, 1]], 'xcoord_integral_points': [496]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '7': [1, 0], '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '52416.fl2'}
• ec_torsion_growth •

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

  
  
  • id: 2539717
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '52416.fl2', 'torsion': [2, 2]}
  • id: 2539718
    {'degree': 4, 'field': [-27, 0, -16, 0, 1], 'lmfdb_label': '52416.fl2', 'torsion': [4]}
  • id: 2539721
    {'degree': 8, 'field': [-42, 264, -552, 396, -36, 36, -10, -4, 1], 'lmfdb_label': '52416.fl2', 'torsion': [6]}
  • id: 2539719
    {'degree': 8, 'field': [729, 0, -432, 0, 283, 0, 16, 0, 1], 'lmfdb_label': '52416.fl2', 'torsion': [2, 4]}
  • id: 2539720
    {'degree': 8, 'field': [8281, 0, 3094, 0, 183, 0, -32, 0, 1], 'lmfdb_label': '52416.fl2', 'torsion': [2, 4]}
  • id: 2539723
    {'degree': 16, 'field': [9, 0, 192, 0, 4078, 0, 384, 0, 39, 0, 128, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '52416.fl2', 'torsion': [2, 6]}
  • id: 2539722
    {'degree': 16, 'field': [93562574400, 0, -115815132672, 0, 14509660480, 0, -764378048, 0, 13571264, 0, 228256, 0, -10360, 0, -8, 0, 1], 'lmfdb_label': '52416.fl2', '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: 1256572
    {'conductor': 52416, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '52416.fl2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1256573
    {'conductor': 52416, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '52416.fl2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1256574
    {'conductor': 52416, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '52416.fl2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1256575
    {'conductor': 52416, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '52416.fl2', 'prime': 13, '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: 2012481
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [277, 820, 272, 819], [730, 1, 727, 0], [925, 4, 758, 9], [157, 4, 314, 9], [1089, 4, 1088, 5]], 'adelic_image': '1092.12.0.?', 'conductor': 52416, 'lmfdb_label': '52416.fl2', 'prime': 0}
  • id: 224320
    {'conductor': 52416, 'elladic_image': '2.3.0.1', 'lmfdb_label': '52416.fl2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 52416.fl does not appear in ec_padic