Elliptic curve data - 145728.dt2

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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': '145728fk', 'Clabel': '145728fk1', 'Cnumber': 1, 'abc_quality': 0.8955031105784524, 'absD': 1225358397407232, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 276, 'ainvs': [0, 0, 0, 24180, 861424], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 145728, 'degree': 589824, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5831539854409702700235214401', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 97, 'isogeny_degrees': [1, 2], 'jinv': [8181353375, 6412032], 'lmfdb_iso': '145728.dt', 'lmfdb_label': '145728.dt2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 42, -45], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '46.6.0.a.1', '276.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 207], [3, 8, 16192], [11, 12, 13248], [23, 24, 6336]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.0058729297330025397999493605483', 'prec': 113}, 'szpiro_ratio': 3.523567555358022, '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, 0, 0, -2, 0, 0, 0, -1, 0, -2, 0, 0, 0, 8, 0, 6, 0], 'aplist': [0, 0, 0, -2, -1, -2, 8, 6, -1, 6, 4, 6, 2, 6, -8, -4, -12, -10, 14, 16, 10, -14, -4, 0, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 145728, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '145728.dt', 'trace_hash': 163731573524669755}
• 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': '0.042158963039789156477626017372', 'prec': 107}, 'conductor': 145728, 'gens': [], 'heights': [], 'lmfdb_label': '145728.dt2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.31203389081245977552306947860', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4962711264996782041845558288375781534', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-34, 0, 1]], 'xcoord_integral_points': [-34]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '11': [0, 0], '23': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '145728.dt2'}
• ec_torsion_growth •

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

  
  
  • id: 6574553
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '145728.dt2', 'torsion': [2, 2]}
  • id: 6574554
    {'degree': 4, 'field': [-23, 0, -4, 0, 1], 'lmfdb_label': '145728.dt2', 'torsion': [4]}
  • id: 6574557
    {'degree': 8, 'field': [-432, 0, 102, 0, -72, 0, 0, 0, 1], 'lmfdb_label': '145728.dt2', 'torsion': [6]}
  • id: 6574556
    {'degree': 8, 'field': [676, 0, -116, 0, 45, 0, -8, 0, 1], 'lmfdb_label': '145728.dt2', 'torsion': [2, 4]}
  • id: 6574555
    {'degree': 8, 'field': [2722512, -487152, -186548, 2464, 11024, -152, -139, -2, 1], 'lmfdb_label': '145728.dt2', 'torsion': [2, 4]}
  • id: 6574558
    {'degree': 16, 'field': [208849, 0, 86724, 0, -242492, 0, -105180, 0, 36570, 0, 180, 0, -1052, 0, -12, 0, 1], 'lmfdb_label': '145728.dt2', 'torsion': [8]}
  • id: 6574559
    {'degree': 16, 'field': [8861400, -15154920, 19410474, -9933432, 8685444, -4932384, 2469396, -794304, 313615, -86996, 28408, -6920, 1942, -392, 76, -8, 1], 'lmfdb_label': '145728.dt2', '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: 3604949
    {'conductor': 145728, 'conductor_valuation': 6, 'discriminant_valuation': 26, 'j_denominator_valuation': 8, 'kodaira_symbol': -20, 'lmfdb_label': '145728.dt2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3604950
    {'conductor': 145728, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '145728.dt2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3604951
    {'conductor': 145728, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '145728.dt2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3604952
    {'conductor': 145728, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '145728.dt2', 'prime': 23, 'reduction_type': -1, '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: 2610808
    {'adelic_gens': [[1, 0, 4, 1], [185, 4, 94, 9], [3, 4, 8, 11], [1, 2, 2, 5], [194, 1, 179, 0], [1, 4, 0, 1], [273, 4, 272, 5], [73, 208, 68, 207]], 'adelic_image': '276.12.0.?', 'conductor': 145728, 'lmfdb_label': '145728.dt2', 'prime': 0}
  • id: 561385
    {'conductor': 145728, 'elladic_image': '2.3.0.1', 'lmfdb_label': '145728.dt2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 145728.dt does not appear in ec_padic