Elliptic curve data - 141120.gv6

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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': '141120mu', 'Clabel': '141120mu1', 'Cnumber': 1, 'abc_quality': 0.9283517895086211, 'absD': 4230415208247459840, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 0, 0, 281652, -80514448], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 141120, 'degree': 2359296, 'elladic_images': ['16.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2590186483358434517117260382', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 177, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [109902239, 188160], 'lmfdb_iso': '141120.gv', 'lmfdb_label': '141120.gv6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 10, -13], 'min_quad_twist_disc': 168, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.e.2', '24.24.0-8.n.1.3', '30.6.0.a.1', '40.24.0-8.n.1.3', '48.48.0-16.e.2.9', '56.24.0.bv.1', '60.12.0.g.1', '80.48.0.?', '112.48.0.?', '120.48.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.085499474300040370064191765', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2205], [3, 8, 15680], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30296334136578601066442113417', 'prec': 107}, 'szpiro_ratio': 4.210972360041938, '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, 4, 0, -2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, -1, 0, 4, -2, 2, -4, 8, 6, 8, 2, 2, 12, -8, 6, -4, -2, -12, -8, 14, 0, -12, 2, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 141120, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '141120.gv', 'trace_hash': 2145874898631123541}
• 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': '0.010910416578651234689308181273', 'prec': 107}, 'conductor': 141120, 'gens': [[73851841, 634844262591, 58]], 'heights': [{'__RealLiteral__': 0, 'data': '15.085499474300040370064191765', 'prec': 100}], 'lmfdb_label': '141120.gv6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12941286444984207062288204248', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.8090307945030197580206224227752688113', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[238, 0, 1]], 'xcoord_integral_points': [238]}
• 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, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '141120.gv6'}
• ec_torsion_growth •

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

  
  
  • id: 6378957
    {'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '141120.gv6', 'torsion': [4]}
  • id: 6378956
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '141120.gv6', 'torsion': [2, 2]}
  • id: 6378958
    {'degree': 2, 'field': [70, 0, 1], 'lmfdb_label': '141120.gv6', 'torsion': [4]}
  • id: 6378961
    {'degree': 4, 'field': [22, -16, 17, -2, 1], 'lmfdb_label': '141120.gv6', 'torsion': [8]}
  • id: 6378960
    {'degree': 4, 'field': [64, 0, -26, 0, 1], 'lmfdb_label': '141120.gv6', 'torsion': [8]}
  • id: 6378959
    {'degree': 4, 'field': [784, 0, 14, 0, 1], 'lmfdb_label': '141120.gv6', 'torsion': [2, 4]}
  • id: 6378965
    {'degree': 8, 'field': [-14700, 0, -55650, 0, 1260, 0, -14, 0, 1], 'lmfdb_label': '141120.gv6', 'torsion': [6]}
  • id: 6378964
    {'degree': 8, 'field': [424, 328, -278, -104, 63, -16, 10, -4, 1], 'lmfdb_label': '141120.gv6', 'torsion': [2, 8]}
  • id: 6378962
    {'degree': 8, 'field': [4096, 0, 1952, 0, 144, 0, -22, 0, 1], 'lmfdb_label': '141120.gv6', 'torsion': [2, 4]}
  • id: 6378963
    {'degree': 8, 'field': [470596, 0, 42532, 0, 1029, 0, 28, 0, 1], 'lmfdb_label': '141120.gv6', 'torsion': [8]}
  • id: 6378969
    {'degree': 16, 'field': [50176, 0, -43904, 25088, 31248, -18144, -896, 10304, -1972, -856, 1144, -88, -71, 54, -1, -2, 1], 'lmfdb_label': '141120.gv6', 'torsion': [16]}
  • id: 6378966
    {'degree': 16, 'field': [65536, 0, 0, 0, 41104, 0, 0, 0, 7176, 0, 0, 0, 49, 0, 0, 0, 1], 'lmfdb_label': '141120.gv6', 'torsion': [4, 4]}
  • id: 6378970
    {'degree': 16, 'field': [9834496, 0, 8078336, 0, 4255552, 0, 1395968, 0, 262420, 0, 33212, 0, 2077, 0, 44, 0, 1], 'lmfdb_label': '141120.gv6', 'torsion': [16]}
  • id: 6378968
    {'degree': 16, 'field': [57395776, 19091520, -15758512, -11373600, -8651450, 3373020, 903098, -2196600, -422711, 170520, 54782, 7560, -740, -420, -28, 0, 1], 'lmfdb_label': '141120.gv6', 'torsion': [16]}
  • id: 6378973
    {'degree': 16, 'field': [88510464, 0, -141370880, 0, 33533248, 0, 32819808, 0, 815360, 0, 62678, 0, 840, 0, -14, 0, 1], 'lmfdb_label': '141120.gv6', 'torsion': [12]}
  • id: 6378971
    {'degree': 16, 'field': [88510464, 0, 117487104, 0, 629332480, 0, -4195968, 0, 102900, 0, 34342, 0, -588, 0, 0, 0, 1], 'lmfdb_label': '141120.gv6', 'torsion': [2, 6]}
  • id: 6378967
    {'degree': 16, 'field': [408484521, 103803696, 13189248, 53630928, -26158872, -1441512, 3998976, -2080536, 497398, 34352, -21856, 8336, -1352, -56, 32, -8, 1], 'lmfdb_label': '141120.gv6', 'torsion': [2, 8]}
  • id: 6378972
    {'degree': 16, 'field': [5933312784, 0, -3065292216, 0, 725069268, 0, -96259128, 0, 7817460, 0, -414708, 0, 13552, 0, -196, 0, 1], 'lmfdb_label': '141120.gv6', '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: 3486455
    {'conductor': 141120, 'conductor_valuation': 6, 'discriminant_valuation': 26, 'j_denominator_valuation': 8, 'kodaira_symbol': -20, 'lmfdb_label': '141120.gv6', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3486456
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '141120.gv6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3486457
    {'conductor': 141120, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '141120.gv6', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3486458
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '141120.gv6', '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: 2580779
    {'adelic_gens': [[1, 16, 0, 1], [641, 16, 146, 1167], [1112, 1679, 481, 1670], [1679, 1664, 1260, 1259], [227, 1664, 1216, 315], [1, 0, 16, 1], [1016, 1, 1423, 10], [15, 2, 1582, 1667], [5, 4, 1676, 1677], [1665, 16, 1664, 17]], 'adelic_image': '1680.192.1.?', 'conductor': 141120, 'lmfdb_label': '141120.gv6', 'prime': 0}
  • id: 544906
    {'conductor': 141120, 'elladic_image': '16.24.0.13', 'lmfdb_label': '141120.gv6', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 141120.gv does not appear in ec_padic