Elliptic curve data - 141120.ds1

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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': '141120dt', 'Clabel': '141120dt3', 'Cnumber': 3, 'abc_quality': 1.0109039721020272, 'absD': 126467291381760, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 0, 0, -847308, 300199088], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 141120, 'degree': 1179648, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9611542500764857149265753686', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 96, 'isogeny_degrees': [1, 2, 4], 'jinv': [23937672968, 45], 'lmfdb_iso': '141120.ds', 'lmfdb_label': '141120.ds1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -480, 4212], 'min_quad_twist_disc': 168, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '40.24.0.by.1', '48.24.0.j.1', '80.48.0.?', '112.24.0.?', '168.24.0.?', '240.96.3.?', '336.48.0.?', '420.12.0.?', '560.96.0.?', '840.48.0.?', '1680.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 17, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.9692893523815168883842645312', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2205], [3, 8, 15680], [5, 6, 28224], [7, 26, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42754094448515742009526377341', 'prec': 107}, 'szpiro_ratio': 4.432945920299795, '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, 0, 0, -2, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, -1, 0, 0, -2, -6, 0, 4, -2, 8, -6, -6, -12, -12, -10, -8, -10, 12, -8, -10, 16, -12, -6, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 141120, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '141120.ds', 'trace_hash': 224077291011306957}
• 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': '0.019795344401771852949427264442', 'prec': 107}, 'conductor': 141120, 'gens': [[526, 216, 1], [568, 1476, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.97018125065502081944260632161', 'prec': 103}, {'__RealLiteral__': 0, 'data': '3.1389011519140554963338969114', 'prec': 100}], 'lmfdb_label': '141120.ds1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.50319205629690405687559313013', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.952982519722864273795004555180840212', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[532, 0, 1]], 'xcoord_integral_points': [-194, 238, 526, 532, 548, 568, 581, 5432, 10333]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': 'a', '11': [2, 2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '141120.ds1'}
• ec_torsion_growth •

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

  
  
  • id: 6373403
    {'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '141120.ds1', 'torsion': [4]}
  • id: 6373402
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '141120.ds1', 'torsion': [4]}
  • id: 6373401
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '141120.ds1', 'torsion': [2, 2]}
  • id: 6373404
    {'degree': 4, 'field': [64, 0, -26, 0, 1], 'lmfdb_label': '141120.ds1', 'torsion': [2, 4]}
  • id: 6373408
    {'degree': 8, 'field': [-131087, -131976, -50390, -11428, -2772, -508, -26, 0, 1], 'lmfdb_label': '141120.ds1', 'torsion': [6]}
  • id: 6373406
    {'degree': 8, 'field': [7036, 880, -8328, 160, 1904, -40, -92, 0, 1], 'lmfdb_label': '141120.ds1', 'torsion': [2, 8]}
  • id: 6373407
    {'degree': 8, 'field': [12874, -7136, 3284, -1976, 934, -136, 56, -4, 1], 'lmfdb_label': '141120.ds1', 'torsion': [8]}
  • id: 6373405
    {'degree': 8, 'field': [44041, 56040, 21248, 3120, 414, -120, 32, 0, 1], 'lmfdb_label': '141120.ds1', 'torsion': [2, 4]}
  • id: 6373413
    {'degree': 16, 'field': [-263406479, -506827468, -225926076, 81701052, 76591818, 3998904, -10895320, -1768196, 977652, 174268, -59380, -10308, 2538, 384, -84, -4, 1], 'lmfdb_label': '141120.ds1', 'torsion': [12]}
  • id: 6373410
    {'degree': 16, 'field': [1296, 0, 0, 0, 740088, 0, 0, 0, 35473, 0, 0, 0, 398, 0, 0, 0, 1], 'lmfdb_label': '141120.ds1', 'torsion': [2, 8]}
  • id: 6373411
    {'degree': 16, 'field': [150381169, 0, -696875444, 0, 194236420, 0, -27021092, 0, 1243690, 0, 15148, 0, -1148, 0, -20, 0, 1], 'lmfdb_label': '141120.ds1', 'torsion': [2, 6]}
  • id: 6373409
    {'degree': 16, 'field': [442050625, 0, 0, 0, 26870000, 0, 0, 0, 434850, 0, 0, 0, -400, 0, 0, 0, 1], 'lmfdb_label': '141120.ds1', 'torsion': [4, 4]}
  • id: 6373412
    {'degree': 16, 'field': [9473518224, 0, 8211493056, 0, -1623448280, 0, 93994368, 0, -1452435, 0, -832, 0, -1038, 0, 0, 0, 1], 'lmfdb_label': '141120.ds1', 'torsion': [12]}
• 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: 3484299
    {'conductor': 141120, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '141120.ds1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3484300
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '141120.ds1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3484301
    {'conductor': 141120, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '141120.ds1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3484302
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '141120.ds1', '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: 2580577
    {'adelic_gens': [[547, 910, 1624, 533], [1, 16, 0, 1], [1665, 16, 1664, 17], [638, 483, 861, 260], [1, 8, 8, 65], [1439, 0, 0, 1679], [15, 166, 1394, 195], [1252, 1491, 1057, 1294], [1, 0, 16, 1], [559, 224, 392, 111]], 'adelic_image': '1680.192.3.?', 'conductor': 141120, 'lmfdb_label': '141120.ds1', 'prime': 0}
  • id: 544702
    {'conductor': 141120, 'elladic_image': '8.12.0.10', 'lmfdb_label': '141120.ds1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 141120.ds does not appear in ec_padic