Elliptic curve data - 60984.v1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '60984bl', 'Clabel': '60984bl1', 'Cnumber': 1, 'abc_quality': 0.7162256829945562, 'absD': 58929205104, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 462, 'ainvs': [0, 0, 0, -363, 11979], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 60984, 'degree': 30720, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74863505951985447891839878772', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1], 'jinv': [-6912, 77], 'lmfdb_iso': '60984.v', 'lmfdb_label': '60984.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -3, -9], 'min_quad_twist_disc': -11, 'modell_images': [], 'modm_images': ['462.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.32214137038680064877924364710', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.95601470923300665243379501765', 'prec': 107}, 'szpiro_ratio': 2.931919664264306, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 1, 0], 'aplist': [0, 0, -1, -1, 0, 1, -2, 1, -4, -5, -4, -3, 6, -2, 9, -2, 1, 2, -11, 2, 11, 14, 6, 14, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 60984, 'isogeny_matrix': [[1]], 'lmfdb_iso': '60984.v', 'trace_hash': 322687515099326392}
• 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': '0.22374011109222761186351632048', 'prec': 103}, 'conductor': 60984, 'gens': [[-11, 121, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.32214137038680064877924364710', 'prec': 103}], 'lmfdb_label': '60984.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.94606617765729657028816401386', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8762728791539827032779511072150604509', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': [-11, 22]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [3, 0], '11': 'a', '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': '60984.v1'}
• ec_torsion_growth •

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

  
  
  • id: 2923207
    {'degree': 3, 'field': [3, 0, -1, 1], 'lmfdb_label': '60984.v1', 'torsion': [2]}
  • id: 2923208
    {'degree': 6, 'field': [81, 27, 42, 15, 4, -2, 1], 'lmfdb_label': '60984.v1', 'torsion': [2, 2]}
  • id: 2923209
    {'degree': 8, 'field': [-2684, -1936, 748, 308, 220, -88, 4, -4, 1], 'lmfdb_label': '60984.v1', 'torsion': [3]}
  • id: 2923210
    {'degree': 12, 'field': [77479, -108054, 57486, -26906, 26136, -15444, 5676, -2376, 693, -44, 0, -6, 1], 'lmfdb_label': '60984.v1', 'torsion': [4]}
• 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: 1468705
    {'conductor': 60984, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '60984.v1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1468706
    {'conductor': 60984, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '60984.v1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1468707
    {'conductor': 60984, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '60984.v1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1468708
    {'conductor': 60984, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '60984.v1', 'prime': 11, '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

  
  {'adelic_gens': [[155, 2, 155, 3], [211, 2, 211, 3], [199, 2, 199, 3], [1, 1, 461, 0], [1, 2, 0, 1], [1, 0, 2, 1], [461, 2, 460, 3]], 'adelic_image': '462.2.0.?', 'conductor': 60984, 'lmfdb_label': '60984.v1', 'prime': 0}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 3097074
    {'lmfdb_iso': '60984.v', 'p': 5, 'prec': 20, 'unit': 11667960008446, 'val': 1}
  • id: 3097080
    {'lmfdb_iso': '60984.v', 'p': 13, 'prec': 20, 'unit': 18551222113550351012880, 'val': -1}
  • id: 3097082
    {'lmfdb_iso': '60984.v', 'p': 17, 'prec': 20, 'unit': 178772097874634800723606, 'val': 1}
  • id: 3097083
    {'lmfdb_iso': '60984.v', 'p': 19, 'prec': 20, 'unit': 3622362442612625607988821, 'val': -1}
  • id: 3097087
    {'lmfdb_iso': '60984.v', 'p': 23, 'prec': 20, 'unit': 69211085673944613214114310, 'val': 1}
  • id: 3097079
    {'lmfdb_iso': '60984.v', 'p': 29, 'prec': 20, 'unit': 206835413496552878472970845, 'val': 1}
  • id: 3097076
    {'lmfdb_iso': '60984.v', 'p': 31, 'prec': 20, 'unit': 3253598190411809732858384843, 'val': 1}
  • id: 3097091
    {'lmfdb_iso': '60984.v', 'p': 37, 'prec': 20, 'unit': 323569700089807709710271803629, 'val': 1}
  • id: 3097077
    {'lmfdb_iso': '60984.v', 'p': 41, 'prec': 20, 'unit': 4202116206349601309547984393272, 'val': 1}
  • id: 3097078
    {'lmfdb_iso': '60984.v', 'p': 43, 'prec': 20, 'unit': 9074840816341455596493238934945, 'val': 1}
  • id: 3097089
    {'lmfdb_iso': '60984.v', 'p': 47, 'prec': 20, 'unit': 34910128759680423182164023661578, 'val': 1}
  • id: 3097084
    {'lmfdb_iso': '60984.v', 'p': 53, 'prec': 20, 'unit': 132202774716176465673582512262740, 'val': 1}
  • id: 3097085
    {'lmfdb_iso': '60984.v', 'p': 59, 'prec': 20, 'unit': 207463934479901444387528970964259692, 'val': -1}
  • id: 3097090
    {'lmfdb_iso': '60984.v', 'p': 61, 'prec': 20, 'unit': 5408222194641642385613013995302648, 'val': 1}
  • id: 3097073
    {'lmfdb_iso': '60984.v', 'p': 67, 'prec': 20, 'unit': 43272687774940844473746890347730931, 'val': 1}
  • id: 3097075
    {'lmfdb_iso': '60984.v', 'p': 71, 'prec': 20, 'unit': 29296996165748064042860592494957391, 'val': 1}
  • id: 3097086
    {'lmfdb_iso': '60984.v', 'p': 73, 'prec': 20, 'unit': 186964273424735848143198942326176885, 'val': 1}
  • id: 3097081
    {'lmfdb_iso': '60984.v', 'p': 79, 'prec': 20, 'unit': 807434656397227057444801501417232816, 'val': 1}
  • id: 3097072
    {'lmfdb_iso': '60984.v', 'p': 83, 'prec': 20, 'unit': 1405112434354950723749679649018196209, 'val': 1}
  • id: 3097088
    {'lmfdb_iso': '60984.v', 'p': 89, 'prec': 20, 'unit': 2355801302980333284198585144648499333, 'val': 1}
  • id: 3097071
    {'lmfdb_iso': '60984.v', 'p': 97, 'prec': 20, 'unit': 33654922872490422679641316957987456494, 'val': 1}