Elliptic curve data - 254016.bi2

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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': '254016bi', 'Clabel': '254016bi1', 'Cnumber': 1, 'abc_quality': 0.9233066376073784, 'absD': 66588770304, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 504, 'ainvs': [0, 0, 0, -2604, -49616], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 254016, 'degree': 248832, 'elladic_images': ['2.2.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84883132029528116894964652386', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 34, 'isogeny_degrees': [1, 3], 'jinv': [1876833, 64], 'lmfdb_iso': '254016.bi', 'lmfdb_label': '254016.bi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -366, 2708], 'min_quad_twist_disc': -24, 'modell_images': ['2Cn', '3B'], 'modm_images': ['2.2.0.a.1', '3.4.0.a.1', '6.8.0.a.1', '24.16.0.a.1', '28.4.0-2.a.1.1', '84.16.0.?', '126.24.0.?', '168.32.0.?', '252.48.0.?', '504.96.2.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3969], [3, 8, 3136], [7, 14, 5184]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.88141190494322557649217552788', 'prec': 107}, 'szpiro_ratio': 2.8290545206625053, '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, 0, 0, -3, 0, 0, 0, 0, 0, 3, 0, 5, 0, 0, 0, -3, 0, 5, 0], 'aplist': [0, 0, -3, 0, 3, 5, -3, 5, -3, 3, 4, 7, 9, -11, 0, 3, 12, 2, 4, 0, -11, 8, 3, -15, 1], 'class_deg': 3, 'class_size': 2, 'conductor': 254016, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '254016.bi', 'trace_hash': 1664204062570814048}
• 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': '0.18311102051844523685651626210', 'prec': 103}, 'conductor': 254016, 'gens': [], 'heights': [], 'lmfdb_label': '254016.bi2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.66972683903867729895374719173', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6789073561547091958149887669259373525', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 254016.bi2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10913708
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '254016.bi2', 'torsion': [3]}
  • id: 10913709
    {'degree': 3, 'field': [-28, -21, 0, 1], 'lmfdb_label': '254016.bi2', 'torsion': [2, 2]}
  • id: 10913710
    {'degree': 6, 'field': [-13608, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '254016.bi2', 'torsion': [3]}
  • id: 10913711
    {'degree': 6, 'field': [224, 0, 1764, 0, 84, 0, 1], 'lmfdb_label': '254016.bi2', 'torsion': [2, 6]}
  • id: 10913712
    {'degree': 12, 'field': [2304, 0, -9864, 0, 6588, 0, -2150, 0, 393, 0, -36, 0, 1], 'lmfdb_label': '254016.bi2', 'torsion': [2, 4]}
  • id: 10913713
    {'degree': 12, 'field': [255025, -3030, -7539, 20110, -7470, -3150, 1149, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '254016.bi2', 'torsion': [3, 3]}
  • id: 10913715
    {'degree': 18, 'field': [-8429568, 0, 18966528, 0, -4346496, 0, -4064256, 0, -592704, 0, -21168, 0, -4872, 0, -504, 0, 0, 0, 1], 'lmfdb_label': '254016.bi2', 'torsion': [2, 6]}
  • id: 10913714
    {'degree': 18, 'field': [588750, -864000, 1043100, -442920, 255078, -219276, 37785, 31356, 42444, 8144, -729, -720, 42, 540, 135, -36, -18, 0, 1], 'lmfdb_label': '254016.bi2', 'torsion': [9]}
• 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: 6296724
    {'conductor': 254016, 'conductor_valuation': 6, 'discriminant_valuation': 24, 'j_denominator_valuation': 6, 'kodaira_symbol': -18, 'lmfdb_label': '254016.bi2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6296725
    {'conductor': 254016, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '254016.bi2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6296726
    {'conductor': 254016, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '254016.bi2', 'prime': 7, 'reduction_type': 0, '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: 3274870
    {'adelic_gens': [[251, 492, 498, 431], [7, 12, 438, 391], [493, 12, 492, 13], [317, 5, 57, 94], [1, 0, 12, 1], [1, 12, 0, 1], [219, 5, 337, 466], [127, 12, 0, 1], [5, 2, 466, 489]], 'adelic_image': '504.96.2.?', 'conductor': 254016, 'lmfdb_label': '254016.bi2', 'prime': 0}
  • id: 914405
    {'conductor': 254016, 'elladic_image': '2.2.0.1', 'lmfdb_label': '254016.bi2', 'modell_image': '2Cn', 'prime': 2}
  • id: 914406
    {'conductor': 254016, 'elladic_image': '3.4.0.1', 'lmfdb_label': '254016.bi2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 254016.bi does not appear in ec_padic