Elliptic curve data - 133200.gi2

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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': '133200do', 'Clabel': '133200do1', 'Cnumber': 1, 'abc_quality': 0.967124143790104, 'absD': 517881600000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4440, 'ainvs': [0, 0, 0, -3675, 1098250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 133200, 'degree': 368640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5029718431038736046359167479', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 164, 'isogeny_degrees': [1, 2], 'jinv': [-117649, 11100], 'lmfdb_iso': '133200.gi', 'lmfdb_label': '133200.gi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1, 5], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '222.6.0.?', '4440.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2632060241301498000940115883', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 8325], [3, 8, 14800], [5, 18, 5328], [37, 38, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.54420043800717673777931765863', 'prec': 107}, 'szpiro_ratio': 3.5036423273537487, '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, 0, 0, 4, 0, 0, 0, -2, 0, -2, 0, 0, 0, -2, 0, -2, 0], 'aplist': [0, 0, 0, 4, -2, -2, -2, -2, 0, -2, -4, -1, 6, -4, 10, 6, 4, 4, -12, 8, 2, 4, -4, 6, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 133200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '133200.gi', 'trace_hash': 605034726728778570}
• 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': '0.049492027340509866793342960151', 'prec': 107}, 'conductor': 133200, 'gens': [[29, 1008, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2632060241301498000940115883', 'prec': 100}], 'lmfdb_label': '133200.gi2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.42900113866495886004975024167', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.7673436910818289777129234215959840608', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-115, 0, 1]], 'xcoord_integral_points': [-115, 29, 135]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '133200.gi2'}
• ec_torsion_growth •

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

  
  
  • id: 6042350
    {'degree': 2, 'field': [28, -1, 1], 'lmfdb_label': '133200.gi2', 'torsion': [2, 2]}
  • id: 6042351
    {'degree': 4, 'field': [-111, 0, -14, 0, 1], 'lmfdb_label': '133200.gi2', 'torsion': [4]}
  • id: 6042354
    {'degree': 8, 'field': [-388800, 0, 49680, 0, -2160, 0, 0, 0, 1], 'lmfdb_label': '133200.gi2', 'torsion': [6]}
  • id: 6042353
    {'degree': 8, 'field': [4900, 0, 660, 0, 869, 0, -54, 0, 1], 'lmfdb_label': '133200.gi2', 'torsion': [2, 4]}
  • id: 6042352
    {'degree': 8, 'field': [1364224, 0, 46268, 0, 2568, 0, 59, 0, 1], 'lmfdb_label': '133200.gi2', 'torsion': [2, 4]}
  • id: 6042355
    {'degree': 16, 'field': [12988715076, 24161016480, 15855429616, 3529421280, -496627788, -360349600, -74694992, 22800, 10409245, 1100600, -905708, -7440, 25492, -40, -276, 0, 1], 'lmfdb_label': '133200.gi2', 'torsion': [8]}
  • id: 6042356
    {'degree': 16, 'field': [9442865152134, 2475985044294, 1151087261703, -43782279618, -16043565353, -15205068018, -208121151, -71850814, 73152009, 627174, 158817, -8394, -9267, -298, 27, -6, 1], 'lmfdb_label': '133200.gi2', '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: 3285977
    {'conductor': 133200, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '133200.gi2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3285978
    {'conductor': 133200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '133200.gi2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3285979
    {'conductor': 133200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '133200.gi2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3285980
    {'conductor': 133200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '133200.gi2', '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

  
  
  • id: 2531077
    {'adelic_gens': [[1777, 4, 3554, 9], [1, 2, 2, 5], [1, 4, 0, 1], [2777, 1666, 1664, 2775], [2962, 1, 2959, 0], [1, 0, 4, 1], [4437, 4, 4436, 5], [3, 4, 8, 11], [3482, 1, 479, 0], [2221, 4, 2, 9]], 'adelic_image': '4440.12.0.?', 'conductor': 133200, 'lmfdb_label': '133200.gi2', 'prime': 0}
  • id: 517251
    {'conductor': 133200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '133200.gi2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 133200.gi does not appear in ec_padic