Elliptic curve data - 141120.a2

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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': '141120gu', 'Clabel': '141120gu2', 'Cnumber': 2, 'abc_quality': 1.0515389861488595, 'absD': 166541289062400, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 840, 'ainvs': [0, 0, 0, -400428, 97527248], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 141120, 'degree': 1105920, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8408877149382195651002134588', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [8527173507, 200], 'lmfdb_iso': '141120.a', 'lmfdb_label': '141120.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1149, -14707], 'min_quad_twist_disc': -168, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.ca.1', '40.6.0.e.1', '42.24.0-6.a.1.1', '60.24.0.t.1', '120.48.1.?', '168.48.0.?', '420.48.0.?', '840.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.84962041809504129204159935766', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 147], [3, 6, 15680], [5, 6, 28224], [7, 26, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44644120259638247442712240434', 'prec': 107}, 'szpiro_ratio': 4.24330929324725, '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, -6, 0, -4, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, -1, 0, -6, -4, -6, 4, 0, -6, -4, -8, 0, 8, 0, -6, 6, 2, -4, -12, 10, 4, 12, 12, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 141120, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '141120.a', 'trace_hash': 1307762344162853039}
• 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': '0.025178232941931890156088326136', 'prec': 107}, 'conductor': 141120, 'gens': [[394, 960, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.84962041809504129204159935766', 'prec': 103}], 'lmfdb_label': '141120.a2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.53065979164452946099595499409', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6068751523460209623769597565025363069', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[364, 0, 1]], 'xcoord_integral_points': [-371, 266, 364, 368, 394]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a', '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, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '141120.a2'}
• ec_torsion_growth •

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

  
  
  • id: 6375149
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '141120.a2', 'torsion': [6]}
  • id: 6375148
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '141120.a2', 'torsion': [2, 2]}
  • id: 6375151
    {'degree': 4, 'field': [4, 0, -10, 0, 1], 'lmfdb_label': '141120.a2', 'torsion': [2, 6]}
  • id: 6375150
    {'degree': 4, 'field': [294, 0, -21, 0, 1], 'lmfdb_label': '141120.a2', 'torsion': [4]}
  • id: 6375152
    {'degree': 6, 'field': [74113, 1260, 5292, -10, 126, 0, 1], 'lmfdb_label': '141120.a2', 'torsion': [6]}
  • id: 6375153
    {'degree': 8, 'field': [4, 0, -320, 0, -114, 0, -8, 0, 1], 'lmfdb_label': '141120.a2', 'torsion': [2, 4]}
  • id: 6375155
    {'degree': 8, 'field': [52441, 0, 9694, 0, 882, 0, 46, 0, 1], 'lmfdb_label': '141120.a2', 'torsion': [12]}
  • id: 6375154
    {'degree': 8, 'field': [75076, 0, 18796, 0, 1677, 0, 64, 0, 1], 'lmfdb_label': '141120.a2', 'torsion': [2, 4]}
  • id: 6375157
    {'degree': 12, 'field': [195808, -87552, 104400, -37264, 28266, -13608, 8093, -3342, 1209, -260, 63, -6, 1], 'lmfdb_label': '141120.a2', 'torsion': [2, 6]}
  • id: 6375156
    {'degree': 12, 'field': [7392961, -1141980, 1775172, 301340, 227346, 41160, 19358, 0, 1176, -20, 42, 0, 1], 'lmfdb_label': '141120.a2', 'torsion': [3, 6]}
  • id: 6375159
    {'degree': 16, 'field': [-93168, -271872, 29376, 444672, 154752, -219648, -158880, 45312, 52216, -1920, -10352, -192, 1152, 0, -56, 0, 1], 'lmfdb_label': '141120.a2', 'torsion': [2, 12]}
  • id: 6375160
    {'degree': 16, 'field': [2601, 0, 3312, 0, 97608, 0, -38400, 0, 14326, 0, -2960, 0, 408, 0, -32, 0, 1], 'lmfdb_label': '141120.a2', 'torsion': [2, 12]}
  • id: 6375158
    {'degree': 16, 'field': [4501873216, 0, -1911346082, 0, 235131485, 0, -8333192, 0, 464179, 0, -24418, 0, 455, 0, -28, 0, 1], 'lmfdb_label': '141120.a2', 'torsion': [8]}
  • id: 6375161
    {'degree': 18, 'field': [-21296924, 6701808, 32764176, -27298824, 13536216, -17720304, 16275360, -4028268, -2596590, 1545612, -287622, 76092, -17115, 858, 297, -168, 27, -6, 1], 'lmfdb_label': '141120.a2', 'torsion': [18]}
• 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: 3484999
    {'conductor': 141120, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '141120.a2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3485000
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '141120.a2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3485001
    {'conductor': 141120, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '141120.a2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3485002
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '141120.a2', 'prime': 7, '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: 2580418
    {'adelic_gens': [[1, 6, 6, 37], [1, 12, 0, 1], [11, 2, 790, 831], [337, 252, 462, 673], [599, 0, 0, 839], [829, 12, 828, 13], [230, 357, 567, 608], [512, 371, 525, 568], [1, 0, 12, 1], [174, 623, 595, 454]], 'adelic_image': '840.96.1.?', 'conductor': 141120, 'lmfdb_label': '141120.a2', 'prime': 0}
  • id: 544551
    {'conductor': 141120, 'elladic_image': '2.3.0.1', 'lmfdb_label': '141120.a2', 'modell_image': '2B', 'prime': 2}
  • id: 544552
    {'conductor': 141120, 'elladic_image': '3.4.0.1', 'lmfdb_label': '141120.a2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 141120.a does not appear in ec_padic