Elliptic curve data - 32490.by2

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '32490br', 'Clabel': '32490br1', 'Cnumber': 1, 'abc_quality': 0.9195748306010464, 'absD': 1524350869292173680, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 380, 'ainvs': [1, -1, 1, -734342, -249206011], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 32490, 'degree': 583680, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2619515668889997950696316504', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 50, 'isogeny_degrees': [1, 2], 'jinv': [-186169411, 6480], 'lmfdb_iso': '32490.by', 'lmfdb_label': '32490.by2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -226, -1441], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.e.1', '76.6.0.?', '190.6.0.?', '380.12.0.?'], '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, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49568381181988539563476154198', 'prec': 107}, 'szpiro_ratio': 5.023945386836145, '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, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 6, 0, 0, 1], 'aplist': [1, 0, 1, 2, 0, 2, 6, 0, -6, 4, 0, 10, 8, 2, 2, 2, 0, 14, 4, -12, 6, -8, -2, 8, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 32490, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '32490.by', 'trace_hash': 564679706728848580}
• 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': '0.010846605188816660941283693708', 'prec': 107}, 'conductor': 32490, 'gens': [], 'heights': [], 'lmfdb_label': '32490.by2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.081378067127613937306121030217', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.8592208331882034860407141756122540208', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[993, -497, 1]], 'xcoord_integral_points': [993]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': [1, 0], '19': 'a'}, 'iwp0': 5, 'lmfdb_label': '32490.by2'}
• ec_torsion_growth •

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

  
  
  • id: 1618495
    {'degree': 2, 'field': [24, -1, 1], 'lmfdb_label': '32490.by2', 'torsion': [2, 2]}
  • id: 1618496
    {'degree': 4, 'field': [-488, 28, -27, -2, 1], 'lmfdb_label': '32490.by2', 'torsion': [4]}
  • id: 1618499
    {'degree': 8, 'field': [-26589, 3303, 1056, 2373, -630, -33, 26, -3, 1], 'lmfdb_label': '32490.by2', 'torsion': [6]}
  • id: 1618497
    {'degree': 8, 'field': [64275, -43125, 11260, -1605, 36, 173, -36, -3, 1], 'lmfdb_label': '32490.by2', 'torsion': [2, 4]}
  • id: 1618498
    {'degree': 8, 'field': [197136, 0, 13380, 0, 688, 0, 25, 0, 1], 'lmfdb_label': '32490.by2', 'torsion': [2, 4]}
  • id: 1618500
    {'degree': 16, 'field': [518400, -2488320, -806784, 1920000, 873616, -389888, -213568, 94496, 51284, -9824, -5512, 1208, 464, -8, -16, -4, 1], 'lmfdb_label': '32490.by2', 'torsion': [8]}
  • id: 1618501
    {'degree': 16, 'field': [3325639680, 3614595840, 2182501440, 699322840, 153059380, 3568770, -2058574, -1595278, 196857, 19287, 36720, -1395, 956, -259, 36, -5, 1], 'lmfdb_label': '32490.by2', '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: 760320
    {'conductor': 32490, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '32490.by2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 760321
    {'conductor': 32490, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '32490.by2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 760322
    {'conductor': 32490, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '32490.by2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 760323
    {'conductor': 32490, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '32490.by2', 'prime': 19, '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: 1881220
    {'adelic_gens': [[154, 1, 303, 0], [1, 2, 2, 5], [1, 4, 0, 1], [84, 1, 359, 0], [377, 4, 376, 5], [1, 0, 4, 1], [3, 4, 8, 11], [289, 96, 284, 95]], 'adelic_image': '380.12.0.?', 'conductor': 32490, 'lmfdb_label': '32490.by2', 'prime': 0}
  • id: 145301
    {'conductor': 32490, 'elladic_image': '2.3.0.1', 'lmfdb_label': '32490.by2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 32490.by does not appear in ec_padic