Elliptic curve data - 303450.bc2

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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': '303450bc', 'Clabel': '303450bc4', 'Cnumber': 4, 'abc_quality': 1.07814467781823, 'absD': 208363406655762036427329000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 680, 'ainvs': [1, 1, 0, -6206593050, -186920449267500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 303450, 'degree': 566231040, 'elladic_images': ['8.48.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4538810072882033352513380360', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4], 'jinv': [70108386184777836280897, 552468975892674624], 'lmfdb_iso': '303450.bc', 'lmfdb_label': '303450.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -859044, -304722459], 'min_quad_twist_disc': 85, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.f.1', '40.96.0-8.f.1.2', '136.96.1.?', '340.24.0.?', '680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7225], [3, 4, 50575], [5, 14, 12138], [7, 8, 43350], [17, 162, 1050]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2325553790430451078261910605', 'prec': 100}, 'szpiro_ratio': 6.279047128221979, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, -1, 1, 0, 1, 1, -1, 1, 0, -4, -1, 2, -1, 0, 1, 0, -1, 4, 0], 'aplist': [-1, -1, 0, 1, -4, 2, 0, 4, 8, -6, 0, -2, -10, 4, 0, -6, -4, -6, 12, 8, -6, 0, 12, -6, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 303450, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '303450.bc', 'trace_hash': 491839761309427564}
• 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': '0.00013533437167612440042284793902', 'prec': 113}, 'conductor': 303450, 'gens': [], 'heights': [], 'lmfdb_label': '303450.bc2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.017017376557819394706775221368', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0891120997004412612336141675806873215', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-42380, 21190, 1], [90900, -45450, 1]], 'xcoord_integral_points': [-42380, 90900]}
• lmfdb_label 303450.bc2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12826748
    {'degree': 2, 'field': [85, 0, 1], 'lmfdb_label': '303450.bc2', 'torsion': [2, 4]}
  • id: 12826751
    {'degree': 4, 'field': [341, -32, 33, -2, 1], 'lmfdb_label': '303450.bc2', 'torsion': [2, 8]}
  • id: 12826750
    {'degree': 4, 'field': [359, 46, -45, -2, 1], 'lmfdb_label': '303450.bc2', 'torsion': [2, 4]}
  • id: 12826749
    {'degree': 4, 'field': [531, 38, -37, -2, 1], 'lmfdb_label': '303450.bc2', 'torsion': [2, 4]}
  • id: 12826755
    {'degree': 8, 'field': [-4099116, -116019, -137096, -36774, -1815, -423, -54, 0, 1], 'lmfdb_label': '303450.bc2', 'torsion': [2, 6]}
  • id: 12826753
    {'degree': 8, 'field': [1934, 4, 98, -196, 79, 20, -2, -4, 1], 'lmfdb_label': '303450.bc2', 'torsion': [2, 8]}
  • id: 12826754
    {'degree': 8, 'field': [109319, 62132, -59682, -4816, 2199, 248, -78, -4, 1], 'lmfdb_label': '303450.bc2', 'torsion': [2, 8]}
  • id: 12826752
    {'degree': 8, 'field': [194481, 0, 0, 0, 967, 0, 0, 0, 1], 'lmfdb_label': '303450.bc2', 'torsion': [4, 4]}
  • id: 12826759
    {'degree': 16, 'field': [19189, -78464, 137390, -51480, -111800, 91988, 72582, -53840, -24627, 17596, 3666, -3160, -80, 252, -16, -8, 1], 'lmfdb_label': '303450.bc2', 'torsion': [2, 16]}
  • id: 12826757
    {'degree': 16, 'field': [168121, 175032, 209970, 160680, 110460, 83100, 48258, 18072, 19573, 900, 4590, -120, 564, -12, 36, 0, 1], 'lmfdb_label': '303450.bc2', 'torsion': [4, 8]}
  • id: 12826756
    {'degree': 16, 'field': [391208841, 0, 117547540, 0, 24042910, 0, 1864544, 0, 142463, 0, -2200, 0, 1154, 0, -44, 0, 1], 'lmfdb_label': '303450.bc2', 'torsion': [2, 8]}
  • id: 12826758
    {'degree': 16, 'field': [7511386841, -854006888, 987606760, -151065432, -198725576, 284919320, -23781296, -56164976, 8109081, 3741016, -537628, -110824, 15134, 1512, -196, -8, 1], 'lmfdb_label': '303450.bc2', 'torsion': [4, 8]}
  • id: 12826760
    {'degree': 16, 'field': [45193657744, 0, 15188041253, 0, 2445719986, 0, 233680467, 0, 14022675, 0, 535791, 0, 12679, 0, 170, 0, 1], 'lmfdb_label': '303450.bc2', 'torsion': [2, 12]}
• 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: 7514465
    {'conductor': 303450, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '303450.bc2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7514466
    {'conductor': 303450, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '303450.bc2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7514467
    {'conductor': 303450, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '303450.bc2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 7514468
    {'conductor': 303450, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '303450.bc2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7514469
    {'conductor': 303450, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '303450.bc2', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 3571302
    {'adelic_gens': [[543, 0, 0, 679], [1, 0, 8, 1], [439, 400, 260, 239], [673, 8, 672, 9], [1, 8, 0, 1], [5, 4, 676, 677], [411, 650, 370, 131], [551, 40, 430, 121]], 'adelic_image': '680.192.1.?', 'conductor': 303450, 'lmfdb_label': '303450.bc2', 'prime': 0}
  • id: 1068193
    {'conductor': 303450, 'elladic_image': '8.48.0.96', 'lmfdb_label': '303450.bc2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 303450.bc does not appear in ec_padic