Elliptic curve data - 101232.y1

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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': '101232bi', 'Clabel': '101232bi1', 'Cnumber': 1, 'abc_quality': 0.9643098235711661, 'absD': 212133255005601792, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 16872, 'ainvs': [0, 0, 0, -2569179, -1585192822], 'analytic_rank': 0, 'bad_primes': [2, 3, 19, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 101232, 'degree': 1580544, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3525050630054797904971004921', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1], 'jinv': [-628086308429730457, 71042997888], 'lmfdb_iso': '101232.y', 'lmfdb_label': '101232.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -17842, -918844], 'min_quad_twist_disc': 12, 'modell_images': [], 'modm_images': ['16872.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 6327], [3, 8, 592], [19, 20, 5328], [37, 38, 2736]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1100517381114796353822457522', 'prec': 100}, 'szpiro_ratio': 4.849480605644193, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 2, 0, -2, 0, 0, 0, 2, 0, -6, 0, 0, 0, -3, 0, 1, 0], 'aplist': [0, 0, 2, -2, 2, -6, -3, 1, 2, -1, -2, -1, -9, -4, -7, -4, 6, -5, -14, -6, 7, -8, 6, -8, 1], 'class_deg': 1, 'class_size': 1, 'conductor': 101232, 'isogeny_matrix': [[1]], 'lmfdb_iso': '101232.y', 'trace_hash': 1948363214210275446}
• 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': '0.0090498225788362052290315925011', 'prec': 110}, 'conductor': 101232, 'gens': [], 'heights': [], 'lmfdb_label': '101232.y1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.059623576153014081906671752562', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.71548291383616898288006103074527760042', 'prec': 133}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [1, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '101232.y1'}
• ec_torsion_growth •

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

  
  
  • id: 4698531
    {'degree': 3, 'field': [-60, -24, -1, 1], 'lmfdb_label': '101232.y1', 'torsion': [2]}
  • id: 4698532
    {'degree': 6, 'field': [13434, 1716, 5443, -192, 70, 0, 1], 'lmfdb_label': '101232.y1', 'torsion': [2, 2]}
  • id: 4698533
    {'degree': 8, 'field': [-2187, 0, 0, 0, -162, 0, 4, 0, 1], 'lmfdb_label': '101232.y1', 'torsion': [3]}
  • id: 4698534
    {'degree': 12, 'field': [-97452672, 0, -495125408, 0, 42925584, 0, -1257616, 0, 9440, 0, 126, 0, 1], 'lmfdb_label': '101232.y1', 'torsion': [4]}
• 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: 2486371
    {'conductor': 101232, 'conductor_valuation': 4, 'discriminant_valuation': 19, 'j_denominator_valuation': 7, 'kodaira_symbol': -15, 'lmfdb_label': '101232.y1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2486372
    {'conductor': 101232, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '101232.y1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2486373
    {'conductor': 101232, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '101232.y1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2486374
    {'conductor': 101232, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '101232.y1', 'prime': 37, '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

  
  {'adelic_gens': [[8437, 2, 8437, 3], [1, 2, 0, 1], [1, 0, 2, 1], [15505, 2, 15505, 3], [16871, 2, 16870, 3], [13321, 2, 13321, 3], [12655, 2, 12655, 3], [1, 1, 16871, 0], [11249, 2, 11249, 3]], 'adelic_image': '16872.2.0.?', 'conductor': 101232, 'lmfdb_label': '101232.y1', 'prime': 0}
• lmfdb_iso 101232.y does not appear in ec_padic