Elliptic curve data - 366912.qf2

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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': '366912qf', 'Clabel': '366912qf1', 'Cnumber': 1, 'abc_quality': 0.8557908585392586, 'absD': 173235502777733480448, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -1741068, -617153040], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 366912, 'degree': 15482880, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5890269315858614549394270714', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 421, 'isogeny_degrees': [1, 2], 'jinv': [2803221, 832], 'lmfdb_iso': '366912.qf', 'lmfdb_label': '366912.qf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -555, 3653], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '104.6.0.?', '168.6.0.?', '546.6.0.?', '2184.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 273], [3, 2, 40768], [7, 20, 7488], [13, 14, 28224]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.73408566754662375656186959606', 'prec': 107}, 'szpiro_ratio': 4.270986875933299, '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, 4, 0, 0, 0, 0, 0, -4, 0, -1, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, 4, 0, -4, -1, 2, 4, -2, 6, 4, -4, -6, 4, 0, 2, 10, 2, 2, 4, 2, 16, -10, 6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 366912, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '366912.qf', 'trace_hash': 697566067019543860}
• 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': '0.0056389699497665653470878548828', 'prec': 110}, 'conductor': 366912, 'gens': [], 'heights': [], 'lmfdb_label': '366912.qf2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.13443579562157913875777362031', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8396886423768489952798503311996763643', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[1470, 0, 1]], 'xcoord_integral_points': [1470]}
• lmfdb_label 366912.qf2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15245513
    {'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '366912.qf2', 'torsion': [2, 2]}
  • id: 15245514
    {'degree': 4, 'field': [4, 52, -51, -2, 1], 'lmfdb_label': '366912.qf2', 'torsion': [4]}
  • id: 15245517
    {'degree': 8, 'field': [-9408, 0, 2744, 0, -336, 0, 0, 0, 1], 'lmfdb_label': '366912.qf2', 'torsion': [6]}
  • id: 15245516
    {'degree': 8, 'field': [4096, 0, -3482, 0, 909, 0, -80, 0, 1], 'lmfdb_label': '366912.qf2', 'torsion': [2, 4]}
  • id: 15245515
    {'degree': 8, 'field': [24117921, 0, 1034820, 0, 10902, 0, 132, 0, 1], 'lmfdb_label': '366912.qf2', 'torsion': [2, 4]}
  • id: 15245519
    {'degree': 16, 'field': [317970496, 657386432, 199948944, 159527168, 224809912, 72860064, 18595624, 2923256, -103050, 17768, -22499, -5016, 106, -130, 12, -4, 1], 'lmfdb_label': '366912.qf2', 'torsion': [2, 6]}
  • id: 15245518
    {'degree': 16, 'field': [3123794416, 3701811264, -2711480192, -1862179904, 642976336, 323423088, -71642648, -28980000, 4786057, 1540376, -211196, -50264, 6254, 952, -116, -8, 1], 'lmfdb_label': '366912.qf2', '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: 9078768
    {'conductor': 366912, 'conductor_valuation': 6, 'discriminant_valuation': 24, 'j_denominator_valuation': 6, 'kodaira_symbol': -18, 'lmfdb_label': '366912.qf2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9078769
    {'conductor': 366912, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '366912.qf2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9078770
    {'conductor': 366912, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '366912.qf2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9078771
    {'conductor': 366912, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '366912.qf2', 'prime': 13, '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: 3948959
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1460, 1, 727, 0], [1, 4, 0, 1], [2181, 4, 2180, 5], [1850, 1, 167, 0], [1093, 4, 2, 9], [628, 1, 935, 0], [1913, 274, 272, 1911]], 'adelic_image': '2184.12.0.?', 'conductor': 366912, 'lmfdb_label': '366912.qf2', 'prime': 0}
  • id: 1261570
    {'conductor': 366912, 'elladic_image': '2.3.0.1', 'lmfdb_label': '366912.qf2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 366912.qf does not appear in ec_padic