Elliptic curve data - 266560.fe1

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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': '266560fe', 'Clabel': '266560fe2', 'Cnumber': 2, 'abc_quality': 0.9321837580203192, 'absD': 15776940032000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2856, 'ainvs': [0, 1, 0, -32321, 6433055], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 266560, 'degree': 1327104, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7932123576087172964074631000', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 134, 'isogeny_degrees': [1, 3], 'jinv': [-290707016929, 1228250000], 'lmfdb_iso': '266560.fe', 'lmfdb_label': '266560.fe1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -505, 12375], 'min_quad_twist_disc': 8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '68.2.0.a.1', '168.8.0.?', '204.8.0.?', '2856.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.97259612729519177337120088980', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 833], [3, 2, 3136], [5, 6, 53312], [7, 14, 5440], [17, 18, 15680]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.42917322859291378143072279391', 'prec': 103}, 'szpiro_ratio': 3.592342787901116, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 0, -2, 0, -3, 0, 5, 0, -1, 0, 1, 0, 2, 0], 'aplist': [0, 1, -1, 0, -3, 5, 1, 2, 0, 0, -8, -2, 6, -2, 6, 3, 6, 8, -2, -15, -8, 5, 6, 3, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 266560, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '266560.fe', 'trace_hash': 1623493046963302370}
• 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': '0.027697178914493459209987484109', 'prec': 107}, 'conductor': 266560, 'gens': [[59, 2176, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.97259612729519177337120088980', 'prec': 103}], 'lmfdb_label': '266560.fe1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.34185816076489649323696625193', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.9797581578606896862982869275950044555', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': [-94, 59]}
• lmfdb_label 266560.fe1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11407460
    {'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '266560.fe1', 'torsion': [3]}
  • id: 11407461
    {'degree': 3, 'field': [-20, 12, -1, 1], 'lmfdb_label': '266560.fe1', 'torsion': [2]}
  • id: 11407464
    {'degree': 6, 'field': [-1512, 0, -63, 0, 0, 0, 1], 'lmfdb_label': '266560.fe1', 'torsion': [6]}
  • id: 11407463
    {'degree': 6, 'field': [126, 0, 84, 0, 14, 0, 1], 'lmfdb_label': '266560.fe1', 'torsion': [3]}
  • id: 11407462
    {'degree': 6, 'field': [272, 0, -72, 0, 1, 0, 1], 'lmfdb_label': '266560.fe1', 'torsion': [2, 2]}
  • id: 11407465
    {'degree': 12, 'field': [-83300, 0, -63504, 0, -6615, 0, -15120, 0, -210, 0, 0, 0, 1], 'lmfdb_label': '266560.fe1', 'torsion': [4]}
  • id: 11407466
    {'degree': 12, 'field': [15876, 0, -10584, 0, 5292, 0, -924, 0, 112, 0, -14, 0, 1], 'lmfdb_label': '266560.fe1', 'torsion': [3, 3]}
  • id: 11407467
    {'degree': 12, 'field': [1101472, 3025344, 3387024, 1991808, 668362, 118020, -4766, -7392, -773, -84, 2, 0, 1], 'lmfdb_label': '266560.fe1', 'torsion': [2, 6]}
  • id: 11407468
    {'degree': 18, 'field': [-53792317906704, -332932809590496, 423211473118800, 69303753967536, -35068904428824, -3017431120320, 1212216784332, 45781502760, -25686311220, -392335932, 417253584, 3136932, -5028725, 17874, 42813, -254, -300, 0, 1], 'lmfdb_label': '266560.fe1', 'torsion': [9]}
  • id: 11407469
    {'degree': 18, 'field': [373248, -870912, 1052352, -976320, 836136, -256032, -160695, 118188, 43176, -64, 2751, 3024, 128, -504, -21, -4, 0, 0, 1], 'lmfdb_label': '266560.fe1', 'torsion': [6]}
• 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: 6608225
    {'conductor': 266560, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '266560.fe1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6608226
    {'conductor': 266560, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '266560.fe1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6608227
    {'conductor': 266560, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '266560.fe1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6608228
    {'conductor': 266560, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '266560.fe1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 3350849
    {'adelic_gens': [[2141, 2850, 2139, 2837], [1595, 2850, 1929, 2837], [1, 6, 0, 1], [4, 3, 9, 7], [1433, 2850, 1434, 2849], [2851, 6, 2850, 7], [3, 4, 8, 11], [1, 0, 6, 1], [2734, 1545, 2489, 2849], [1227, 2, 1234, 7], [1427, 0, 0, 2855]], 'adelic_image': '2856.16.0.?', 'conductor': 266560, 'lmfdb_label': '266560.fe1', 'prime': 0}
  • id: 954759
    {'conductor': 266560, 'elladic_image': '3.4.0.1', 'lmfdb_label': '266560.fe1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 266560.fe does not appear in ec_padic