Elliptic curve data - 282240.y2

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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': '282240y', 'Clabel': '282240y2', 'Cnumber': 2, 'abc_quality': 1.0227332645146032, 'absD': 3389565317246964172800000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 280, 'ainvs': [0, 0, 0, -25322808, 101251481632], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 282240, 'degree': 47185920, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3967272395482679612583052893', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2], 'jinv': [-1277978627383936, 2412172153125], 'lmfdb_iso': '282240.y', 'lmfdb_label': '282240.y2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -57421, 10952245], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.a.1', '56.6.0.d.1', '280.12.0.?'], '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, 2, 2205], [3, 8, 31360], [5, 6, 56448], [7, 32, 5760]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0657943100332869353545688241', 'prec': 100}, 'szpiro_ratio': 5.11571850689035, '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, -4, 0, 2, 0, 0, 0, 4, 0, -2, 0], 'aplist': [0, 0, -1, 0, -4, 2, 4, -2, 4, -6, -4, 8, -10, 4, 8, -12, -10, -14, -4, -10, 12, -14, 0, -10, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 282240, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '282240.y', 'trace_hash': 7359911160435062}
• 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': '0.0011210892977033358265157947411', 'prec': 110}, 'conductor': 282240, 'gens': [], 'heights': [], 'lmfdb_label': '282240.y2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.070760173752213170063897922977', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.56608139001770536051118338381933420444', 'prec': 133}, 'tamagawa_product': 32, 'torsion_generators': [[-6412, 0, 1]], 'xcoord_integral_points': [-6412]}
• lmfdb_label 282240.y2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12009660
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '282240.y2', 'torsion': [2, 2]}
  • id: 12009661
    {'degree': 4, 'field': [-45, 0, 18, 0, 1], 'lmfdb_label': '282240.y2', 'torsion': [4]}
  • id: 12009664
    {'degree': 8, 'field': [-6482700, 0, 0, 0, 8820, 0, 56, 0, 1], 'lmfdb_label': '282240.y2', 'torsion': [6]}
  • id: 12009662
    {'degree': 8, 'field': [5569, -1580, -344, 268, 132, -4, 16, -4, 1], 'lmfdb_label': '282240.y2', 'torsion': [2, 4]}
  • id: 12009663
    {'degree': 8, 'field': [16641, 0, 8088, 0, 934, 0, -8, 0, 1], 'lmfdb_label': '282240.y2', 'torsion': [2, 4]}
  • id: 12009665
    {'degree': 16, 'field': [-26554202, -33791632, 27745680, 24939824, -11354768, -9308992, 2270056, 1870288, -189408, -206192, -5296, 8960, 1492, -56, -80, 0, 1], 'lmfdb_label': '282240.y2', 'torsion': [8]}
  • id: 12009666
    {'degree': 16, 'field': [124169550129, -96425851788, 42341970400, -11823261916, 3761517868, -142955956, -64960352, 41441420, -5205948, 699324, 97428, -18868, 2980, 212, 4, -4, 1], 'lmfdb_label': '282240.y2', '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: 6989960
    {'conductor': 282240, 'conductor_valuation': 7, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '282240.y2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6989961
    {'conductor': 282240, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '282240.y2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6989962
    {'conductor': 282240, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '282240.y2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6989963
    {'conductor': 282240, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '282240.y2', 'prime': 7, '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: 3444473
    {'adelic_gens': [[36, 249, 177, 114], [1, 2, 2, 5], [1, 4, 0, 1], [114, 1, 223, 0], [241, 4, 202, 9], [277, 4, 276, 5], [1, 0, 4, 1], [3, 4, 8, 11], [141, 4, 2, 9]], 'adelic_image': '280.12.0.?', 'conductor': 282240, 'lmfdb_label': '282240.y2', 'prime': 0}
  • id: 1003470
    {'conductor': 282240, 'elladic_image': '2.3.0.1', 'lmfdb_label': '282240.y2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 282240.y does not appear in ec_padic