Elliptic curve data - 14520.z2

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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': '14520bo', 'Clabel': '14520bo3', 'Cnumber': 3, 'abc_quality': 0.9792461634823973, 'absD': 6802794240000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, 1, 0, -16496, -811296], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 14520, 'degree': 46080, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2683507212091633717650973311', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2, 4], 'jinv': [136835858, 1875], 'lmfdb_iso': '14520.z', 'lmfdb_label': '14520.z2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -136, 560], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.s.1', '40.12.0.bb.1', '88.12.0.?', '120.24.0.?', '132.12.0.?', '264.24.0.?', '440.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 363], [3, 4, 4840], [5, 6, 2904], [11, 62, 120]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56598183070330510056500390255', 'prec': 107}, 'szpiro_ratio': 4.251808727480474, '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, 1, 0, -1, 0, -4, 0, 1, 0, 0, 0, 6, 0, -1, 0, 2, 0, -4, 0], 'aplist': [0, 1, -1, -4, 0, 6, 2, -4, -8, 6, 0, -6, -10, 4, 8, 10, 0, -6, -4, 0, 14, -16, -12, 2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 14520, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '14520.z', 'trace_hash': 867458199399799830}
• 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': '0.079126974676010570661269070505', 'prec': 107}, 'conductor': 14520, 'gens': [], 'heights': [], 'lmfdb_label': '14520.z2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.42161193196870369437818787242', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6864477278748147775127514896759432686', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-81, 0, 1]], 'xcoord_integral_points': [-81]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [0, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '14520.z2'}
• ec_torsion_growth •

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

  
  
  • id: 749970
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '14520.z2', 'torsion': [2, 2]}
  • id: 749972
    {'degree': 2, 'field': [22, 0, 1], 'lmfdb_label': '14520.z2', 'torsion': [4]}
  • id: 749971
    {'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '14520.z2', 'torsion': [4]}
  • id: 749973
    {'degree': 4, 'field': [49, 0, 8, 0, 1], 'lmfdb_label': '14520.z2', 'torsion': [2, 4]}
  • id: 749977
    {'degree': 8, 'field': [-4455, 3564, -3132, 1380, -30, -32, -12, 0, 1], 'lmfdb_label': '14520.z2', 'torsion': [6]}
  • id: 749974
    {'degree': 8, 'field': [-692, 1872, -664, -192, 216, -24, -28, 0, 1], 'lmfdb_label': '14520.z2', 'torsion': [2, 4]}
  • id: 749976
    {'degree': 8, 'field': [11036, 6800, 4424, 960, 192, -40, -4, 0, 1], 'lmfdb_label': '14520.z2', 'torsion': [8]}
  • id: 749975
    {'degree': 8, 'field': [29269, -16628, 10021, -2306, 862, -140, 37, -2, 1], 'lmfdb_label': '14520.z2', 'torsion': [8]}
  • id: 749978
    {'degree': 16, 'field': [88804, -85824, 41472, 43584, -38420, 17712, 11520, -1344, 6813, 2712, 288, 432, 58, -24, 0, 0, 1], 'lmfdb_label': '14520.z2', 'torsion': [4, 4]}
  • id: 749979
    {'degree': 16, 'field': [608089, 134148, 405644, 747580, 69311, 234936, 169442, -62460, 91660, -30684, 17104, -3964, 1431, -208, 58, -4, 1], 'lmfdb_label': '14520.z2', 'torsion': [2, 8]}
  • id: 749983
    {'degree': 16, 'field': [2205225, 0, 919512, 0, 132300, 0, 154924, 0, 49742, 0, 8920, 0, 880, 0, 44, 0, 1], 'lmfdb_label': '14520.z2', 'torsion': [12]}
  • id: 749981
    {'degree': 16, 'field': [43326009, -159225696, 179439012, -64752336, -4202268, -18432, 2968884, 507552, -379410, -43872, -6836, 6960, 372, -64, -36, 0, 1], 'lmfdb_label': '14520.z2', 'torsion': [2, 6]}
  • id: 749982
    {'degree': 16, 'field': [51883209, 0, -5647152, 0, -998816, 0, -230496, 0, 97374, 0, -1328, 0, 204, 0, 0, 0, 1], 'lmfdb_label': '14520.z2', 'torsion': [12]}
  • id: 749980
    {'degree': 16, 'field': [79014321, 0, 34394496, 0, 6991996, 0, 957696, 0, 90294, 0, 5504, 0, 348, 0, 0, 0, 1], 'lmfdb_label': '14520.z2', 'torsion': [2, 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: 320270
    {'conductor': 14520, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '14520.z2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 320271
    {'conductor': 14520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '14520.z2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 320272
    {'conductor': 14520, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '14520.z2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 320273
    {'conductor': 14520, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '14520.z2', '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: 1760802
    {'adelic_gens': [[1057, 968, 748, 1233], [1, 0, 8, 1], [408, 473, 187, 1134], [1, 8, 0, 1], [1, 4, 4, 17], [1313, 8, 1312, 9], [496, 803, 979, 408], [1288, 363, 1045, 122], [119, 0, 0, 1319], [7, 6, 1314, 1315]], 'adelic_image': '1320.48.0.?', 'conductor': 14520, 'lmfdb_label': '14520.z2', 'prime': 0}
  • id: 69059
    {'conductor': 14520, 'elladic_image': '4.6.0.1', 'lmfdb_label': '14520.z2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 14520.z does not appear in ec_padic