Elliptic curve data - 141960.f3

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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': '141960cn', 'Clabel': '141960cn4', 'Cnumber': 4, 'abc_quality': 0.932414050605158, 'absD': 350182626655155840000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -2318736, 1018771740], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 141960, 'degree': 5505024, 'elladic_images': ['8.24.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6517413464743561895693137906', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [278944461825124, 70849130625], 'lmfdb_iso': '141960.f', 'lmfdb_label': '141960.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -13720, 467932], 'min_quad_twist_disc': 13, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.8', '52.24.0-4.b.1.1', '56.48.0-56.e.1.20', '104.48.0.?', '120.48.0.?', '728.96.0.?', '840.96.0.?', '1560.96.0.?', '10920.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.6629302222183946495279922153', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 169], [3, 4, 47320], [5, 6, 28392], [7, 8, 20280], [13, 98, 840]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79164401727696673036154330194', 'prec': 103}, 'szpiro_ratio': 4.685306695766422, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 0, -1, 0, -1, 0, 1, 0, 4, 0, 0, 0, 1, 0, 2, 0, -4, 0], 'aplist': [0, -1, -1, -1, 4, 0, 2, -4, 0, 6, 8, 10, 6, -4, 8, 6, -12, -2, 12, 8, -10, 8, -4, 6, -18], 'class_deg': 8, 'class_size': 6, 'conductor': 141960, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '141960.f', 'trace_hash': 278059596153958922}
• 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': '0.0049742399547918425378142926083', 'prec': 110}, 'conductor': 141960, 'gens': [[-12399, 5654826, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '9.6629302222183946495279922153', 'prec': 100}], 'lmfdb_label': '141960.f3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15964355084163775321208684688', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1704979688396811152988610088316094999', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[490, 0, 1], [1218, 0, 1]], 'xcoord_integral_points': [-1707, 490, 1218]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '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': '141960.f3'}
• ec_torsion_growth •

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

  
  
  • id: 6417092
    {'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '141960.f3', 'torsion': [2, 4]}
  • id: 6417094
    {'degree': 4, 'field': [107, 34, -33, -2, 1], 'lmfdb_label': '141960.f3', 'torsion': [2, 4]}
  • id: 6417093
    {'degree': 4, 'field': [303, -22, 23, -2, 1], 'lmfdb_label': '141960.f3', 'torsion': [2, 4]}
  • id: 6417098
    {'degree': 8, 'field': [-85683, 0, 29224, 0, -1014, 0, 0, 0, 1], 'lmfdb_label': '141960.f3', 'torsion': [2, 6]}
  • id: 6417096
    {'degree': 8, 'field': [900, 0, 7680, 0, 1429, 0, 74, 0, 1], 'lmfdb_label': '141960.f3', 'torsion': [2, 8]}
  • id: 6417097
    {'degree': 8, 'field': [2601, 0, 1050, 0, 127, 0, -10, 0, 1], 'lmfdb_label': '141960.f3', 'torsion': [2, 8]}
  • id: 6417095
    {'degree': 8, 'field': [4001, -1852, 2004, -292, 117, 32, -6, -4, 1], 'lmfdb_label': '141960.f3', 'torsion': [4, 4]}
  • id: 6417099
    {'degree': 16, 'field': [24649, 0, 244636, 0, 468430, 0, 30912, 0, 15375, 0, 2520, 0, 274, 0, 28, 0, 1], 'lmfdb_label': '141960.f3', 'torsion': [4, 8]}
  • id: 6417101
    {'degree': 16, 'field': [172134400, 0, 3095109632, 0, 342661120, 0, 6695424, 0, 976512, 0, 129600, 0, 4720, 0, 104, 0, 1], 'lmfdb_label': '141960.f3', 'torsion': [2, 12]}
  • id: 6417100
    {'degree': 16, 'field': [571039921, 3054272336, -2576449388, -923551000, 385246538, 81702440, -11091480, -12372736, 1319651, 1095976, -134856, -43424, 5114, 952, -116, -8, 1], 'lmfdb_label': '141960.f3', 'torsion': [2, 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: 3509045
    {'conductor': 141960, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '141960.f3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3509046
    {'conductor': 141960, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '141960.f3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3509047
    {'conductor': 141960, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '141960.f3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3509048
    {'conductor': 141960, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '141960.f3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3509049
    {'conductor': 141960, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '141960.f3', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2586785
    {'adelic_gens': [[1, 0, 8, 1], [6719, 10916, 0, 10919], [10913, 8, 10912, 9], [3641, 8, 3644, 33], [1, 8, 0, 1], [3, 8198, 8182, 10899], [8737, 8, 2188, 33], [7, 6, 7794, 10915], [7, 2732, 10902, 8185], [5, 4, 10916, 10917]], 'adelic_image': '10920.192.1.?', 'conductor': 141960, 'lmfdb_label': '141960.f3', 'prime': 0}
  • id: 548499
    {'conductor': 141960, 'elladic_image': '8.24.0.11', 'lmfdb_label': '141960.f3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 141960.f does not appear in ec_padic