Elliptic curve data - 405720.ba1

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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': '405720ba', 'Clabel': '405720ba2', 'Cnumber': 2, 'abc_quality': 1.0932198001295879, 'absD': 2182469759992166400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2760, 'ainvs': [0, 0, 0, -324723, -4543378], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 405720, 'degree': 5505024, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2084749574594900402014806776', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2], 'jinv': [21558430658, 12425175], 'lmfdb_iso': '405720.ba', 'lmfdb_label': '405720.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -736, -736], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.c.1', '184.6.0.?', '2760.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9216079215347373973947064997', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 10143], [3, 8, 45080], [5, 6, 81144], [7, 32, 8280], [23, 24, 17640]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.050828823084495341652052242746', 'prec': 107}, 'szpiro_ratio': 3.847609076426413, '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, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, -6, 0, -8, 0], 'aplist': [0, 0, -1, 0, -2, 4, -6, -8, -1, 0, -4, 2, -2, -10, 0, 2, 0, 2, -10, -6, 2, 8, 16, 0, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 405720, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '405720.ba', 'trace_hash': 2153240728208956995}
• 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': '0.012070993751378056532401646088', 'prec': 107}, 'conductor': 405720, 'gens': [[-266, 7938, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.9216079215347373973947064997', 'prec': 100}], 'lmfdb_label': '405720.ba1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.21789271374532993975518575929', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0927766281844552912532083072674797483', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-14, 0, 1]], 'xcoord_integral_points': [-266, -14]}
• lmfdb_label 405720.ba1 does not appear in ec_iwasawa
• lmfdb_label 405720.ba1 does not appear in ec_torsion_growth
• 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: 10031556
    {'conductor': 405720, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '405720.ba1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10031557
    {'conductor': 405720, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '405720.ba1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10031558
    {'conductor': 405720, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '405720.ba1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10031559
    {'conductor': 405720, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '405720.ba1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10031560
    {'conductor': 405720, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '405720.ba1', '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: 4177710
    {'adelic_gens': [[1, 2, 2, 5], [2402, 1, 1559, 0], [1, 4, 0, 1], [1841, 4, 922, 9], [2757, 4, 2756, 5], [1657, 4, 554, 9], [2, 1, 1379, 0], [1, 0, 4, 1], [1036, 1729, 345, 2416], [3, 4, 8, 11]], 'adelic_image': '2760.12.0.?', 'conductor': 405720, 'lmfdb_label': '405720.ba1', 'prime': 0}
  • id: 1376128
    {'conductor': 405720, 'elladic_image': '2.3.0.1', 'lmfdb_label': '405720.ba1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 405720.ba does not appear in ec_padic