Elliptic curve data - 348480.n2

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '348480n', 'Clabel': '348480n2', 'Cnumber': 2, 'abc_quality': 1.0465312668394726, 'absD': 6336714670346649600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 660, 'ainvs': [0, 0, 0, 15972, -121110352], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 348480, 'degree': 6488064, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2866455188277287734375410450', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [16, 225], 'lmfdb_iso': '348480.n', 'lmfdb_label': '348480.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 4, 420], 'min_quad_twist_disc': -264, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '22.6.0.a.1', '60.6.0.d.1', '660.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7787369297979406644919759281', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.86975379075837350795997673197', 'prec': 107}, 'szpiro_ratio': 3.9766659573382395, '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, -1, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, -4, 0, 2, 0], 'aplist': [0, 0, -1, -4, 0, -2, -4, 2, -8, -6, 0, 2, 2, 8, 0, -6, 12, -8, -8, -12, -6, -2, 6, 14, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 348480, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '348480.n', 'trace_hash': 1190232449443749288}
• 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': '0.010323927313827376718968640997', 'prec': 107}, 'conductor': 348480, 'gens': [[664, 13500, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.7787369297979406644919759281', 'prec': 100}], 'lmfdb_label': '348480.n2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10991622952644091320042023484', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3227561255656727189895386125302183388', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[484, 0, 1]], 'xcoord_integral_points': [484, 664, 4477]}
• lmfdb_label 348480.n2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14550437
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '348480.n2', 'torsion': [2, 2]}
  • id: 14550438
    {'degree': 4, 'field': [-396, 0, 66, 0, 1], 'lmfdb_label': '348480.n2', 'torsion': [4]}
  • id: 14550441
    {'degree': 8, 'field': [-470448, 0, 104544, 0, 2376, 0, 0, 0, 1], 'lmfdb_label': '348480.n2', 'torsion': [6]}
  • id: 14550439
    {'degree': 8, 'field': [27225, 0, -12342, 0, 1606, 0, -22, 0, 1], 'lmfdb_label': '348480.n2', 'torsion': [2, 4]}
  • id: 14550440
    {'degree': 8, 'field': [30976, 0, 3872, 0, 2244, 0, -22, 0, 1], 'lmfdb_label': '348480.n2', 'torsion': [2, 4]}
  • id: 14550442
    {'degree': 16, 'field': [67523391, 96552000, 82999836, 46645740, 17864805, 3826440, -173526, -476100, -188591, -30840, 854, 1860, 135, -60, -34, 0, 1], 'lmfdb_label': '348480.n2', 'torsion': [8]}
  • id: 14550443
    {'degree': 16, 'field': [2401490025, 0, 0, 0, 38811960, 0, 4456188, 0, 633798, 0, 34848, 0, 1276, 0, 44, 0, 1], 'lmfdb_label': '348480.n2', 'torsion': [2, 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: 8626341
    {'conductor': 348480, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '348480.n2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8626342
    {'conductor': 348480, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '348480.n2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8626343
    {'conductor': 348480, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '348480.n2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8626344
    {'conductor': 348480, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '348480.n2', 'prime': 11, 'reduction_type': 0, '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: 3840638
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [221, 4, 442, 9], [397, 4, 134, 9], [184, 1, 119, 0], [497, 166, 164, 495], [657, 4, 656, 5]], 'adelic_image': '660.12.0.?', 'conductor': 348480, 'lmfdb_label': '348480.n2', 'prime': 0}
  • id: 1206963
    {'conductor': 348480, 'elladic_image': '2.3.0.1', 'lmfdb_label': '348480.n2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 348480.n does not appear in ec_padic