Elliptic curve data - 133952.i1

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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': '133952d', 'Clabel': '133952d2', 'Cnumber': 2, 'abc_quality': 0.7746603566176629, 'absD': 3120545792, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 8372, 'ainvs': [0, 1, 0, -369, 367], 'analytic_rank': 2, 'bad_primes': [2, 7, 13, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 133952, 'degree': 79872, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.51198121744090318948252409939', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [340062928, 190463], 'lmfdb_iso': '133952.i', 'lmfdb_label': '133952.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -92, -92], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '92.6.0.?', '364.6.0.?', '8372.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 19, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.5633614446792927772728709237', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29669049321236633817091337564', 'prec': 107}, 'szpiro_ratio': 2.4860748031930795, '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, -2, 0, -2, 0, 1, 0, 1, 0, -4, 0, 1, 0, 4, 0, 0, 0, 4, 0], 'aplist': [0, -2, -2, 1, -4, 1, 0, 4, -1, 6, 0, -8, -10, 12, -12, -6, -8, 0, -12, -14, -6, -8, 12, 2, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 133952, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '133952.i', 'trace_hash': 1311200735959791801}
• 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': '0.35916893329942017097660116786', 'prec': 103}, 'conductor': 133952, 'gens': [[-13, 56, 1], [19, 24, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.87963243399235608277306828799', 'prec': 103}, {'__RealLiteral__': 0, 'data': '1.8917937379731276481755350871', 'prec': 100}], 'lmfdb_label': '133952.i1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '1.2275933174352499108168840383', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.6766882488968718041510520066969531683', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[1, 0, 1]], 'xcoord_integral_points': [-13, -6, 1, 19, 26, 27, 53, 209, 243, 39547]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [2, 0], '7': [3, 0], '11': [2, 0], '13': [3, 0], '17': [2, 2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '133952.i1'}
• ec_torsion_growth •

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

  
  
  • id: 6070905
    {'degree': 2, 'field': [-23, 0, 1], 'lmfdb_label': '133952.i1', 'torsion': [2, 2]}
  • id: 6070906
    {'degree': 4, 'field': [92, 0, -2, 0, 1], 'lmfdb_label': '133952.i1', 'torsion': [4]}
  • id: 6070909
    {'degree': 8, 'field': [-221952, 0, 6560, 0, 1632, 0, 0, 0, 1], 'lmfdb_label': '133952.i1', 'torsion': [6]}
  • id: 6070907
    {'degree': 8, 'field': [-21296, 61248, 30032, 4720, -140, -376, -8, -4, 1], 'lmfdb_label': '133952.i1', 'torsion': [2, 4]}
  • id: 6070908
    {'degree': 8, 'field': [330625, 0, -21712, 0, 3454, 0, -96, 0, 1], 'lmfdb_label': '133952.i1', 'torsion': [2, 4]}
  • id: 6070911
    {'degree': 16, 'field': [39425841, 0, -9142224, 0, -9415952, 0, 456420, 0, 1255074, 0, -20448, 0, -6012, 0, 12, 0, 1], 'lmfdb_label': '133952.i1', 'torsion': [2, 6]}
  • id: 6070910
    {'degree': 16, 'field': [1121446144, 0, 0, 0, 122967936, 0, 1607424, 0, -848592, 0, -17728, 0, 3736, 0, -16, 0, 1], 'lmfdb_label': '133952.i1', 'torsion': [8]}
• 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: 3303504
    {'conductor': 133952, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '133952.i1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3303505
    {'conductor': 133952, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '133952.i1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3303506
    {'conductor': 133952, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '133952.i1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3303507
    {'conductor': 133952, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '133952.i1', '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: 2535566
    {'adelic_gens': [[5981, 4, 3590, 9], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [7646, 1, 363, 0], [1, 4, 0, 1], [1289, 4, 2578, 9], [6280, 2097, 2093, 6280], [8369, 4, 8368, 5]], 'adelic_image': '8372.12.0.?', 'conductor': 133952, 'lmfdb_label': '133952.i1', 'prime': 0}
  • id: 519518
    {'conductor': 133952, 'elladic_image': '2.3.0.1', 'lmfdb_label': '133952.i1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 133952.i does not appear in ec_padic