Elliptic curve data - 30912.ci3

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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': '30912y', 'Clabel': '30912y3', 'Cnumber': 3, 'abc_quality': 0.9847261399959292, 'absD': 377343928430493696, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1288, 'ainvs': [0, 1, 0, -324737, -64914465], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 30912, 'degree': 393216, 'elladic_images': ['8.48.0.130'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1091217335997830208422237035', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 60, 'isogeny_degrees': [1, 2, 4], 'jinv': [14447092394873377, 1439452851984], 'lmfdb_iso': '30912.ci', 'lmfdb_label': '30912.ci3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5074, -128689], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.e.1.11', '28.24.0.c.1', '56.96.0-56.j.2.1', '184.96.0.?', '1288.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3226495441590513146297128429', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0694009627598650567163755213', 'prec': 100}, 'szpiro_ratio': 4.805725955836717, '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, 2, 0, 1, 0, 1, 0, 4, 0, 2, 0, 2, 0, -6, 0, -4, 0], 'aplist': [0, 1, 2, 1, 4, 2, -6, -4, -1, 2, -8, -6, -6, 4, -8, -6, -4, 10, -4, -8, -6, 0, 12, 2, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 30912, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '30912.ci', 'trace_hash': 914675042604160770}
• 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': '0.014724485845033076786463497595', 'prec': 107}, 'conductor': 30912, 'gens': [[2955, 157440, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.3226495441590513146297128429', 'prec': 100}], 'lmfdb_label': '30912.ci3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20127695413646110595488988576', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.5706135054732558683567911378143435513', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-245, 0, 1], [651, 0, 1]], 'xcoord_integral_points': [-407, -245, 651, 2955]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': [2, 0], '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': '30912.ci3'}
• ec_torsion_growth •

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

  
  
  • id: 1541597
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '30912.ci3', 'torsion': [2, 4]}
  • id: 1541599
    {'degree': 4, 'field': [9, 0, -8, 0, 1], 'lmfdb_label': '30912.ci3', 'torsion': [2, 4]}
  • id: 1541598
    {'degree': 4, 'field': [16, 0, 6, 0, 1], 'lmfdb_label': '30912.ci3', 'torsion': [2, 4]}
  • id: 1541604
    {'degree': 8, 'field': [-12288, 0, 2528, 0, -384, 0, 0, 0, 1], 'lmfdb_label': '30912.ci3', 'torsion': [2, 6]}
  • id: 1541603
    {'degree': 8, 'field': [4, 0, 10, 0, 5, 0, -2, 0, 1], 'lmfdb_label': '30912.ci3', 'torsion': [2, 8]}
  • id: 1541600
    {'degree': 8, 'field': [16, 0, 0, 0, 1, 0, 0, 0, 1], 'lmfdb_label': '30912.ci3', 'torsion': [4, 4]}
  • id: 1541602
    {'degree': 8, 'field': [162, -684, 1086, -844, 523, -124, 46, -4, 1], 'lmfdb_label': '30912.ci3', 'torsion': [2, 8]}
  • id: 1541601
    {'degree': 8, 'field': [1296, 0, 0, 0, 49, 0, 0, 0, 1], 'lmfdb_label': '30912.ci3', 'torsion': [2, 8]}
  • id: 1541605
    {'degree': 16, 'field': [-2464119, 1914948, 3202234, -2507148, -1599044, 1347884, 315494, -338660, -25019, 47956, 122, -4516, 188, 280, -24, -8, 1], 'lmfdb_label': '30912.ci3', 'torsion': [2, 8]}
  • id: 1541607
    {'degree': 16, 'field': [16, 0, 0, 0, -24, 0, 0, 0, 73, 0, 0, 0, 15, 0, 0, 0, 1], 'lmfdb_label': '30912.ci3', 'torsion': [4, 8]}
  • id: 1541608
    {'degree': 16, 'field': [254016, 0, -606528, 0, 142992, 0, 300608, 0, 38288, 0, 584, 0, -80, 0, 16, 0, 1], 'lmfdb_label': '30912.ci3', 'torsion': [2, 12]}
  • id: 1541606
    {'degree': 16, 'field': [1742400, 1848000, -1193648, -862944, 1009858, 306252, -349474, -50712, 75065, 2016, -9982, 120, 872, -12, -44, 0, 1], 'lmfdb_label': '30912.ci3', 'torsion': [4, 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: 720351
    {'conductor': 30912, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '30912.ci3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 720352
    {'conductor': 30912, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '30912.ci3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 720353
    {'conductor': 30912, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '30912.ci3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 720354
    {'conductor': 30912, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '30912.ci3', 'prime': 23, 'reduction_type': -1, '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: 1870455
    {'adelic_gens': [[281, 4, 0, 1], [639, 964, 944, 635], [1, 0, 8, 1], [1281, 8, 1280, 9], [1, 326, 0, 967], [7, 6, 178, 1283], [5, 4, 1284, 1285], [1, 8, 0, 1]], 'adelic_image': '1288.192.1.?', 'conductor': 30912, 'lmfdb_label': '30912.ci3', 'prime': 0}
  • id: 138542
    {'conductor': 30912, 'elladic_image': '8.48.0.130', 'lmfdb_label': '30912.ci3', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1498069
    {'lmfdb_iso': '30912.ci', 'p': 5, 'prec': 20, 'unit': 12343992966283, 'val': 1}
  • id: 1498068
    {'lmfdb_iso': '30912.ci', 'p': 11, 'prec': 20, 'unit': 40180671762534733979, 'val': 1}
  • id: 1498075
    {'lmfdb_iso': '30912.ci', 'p': 13, 'prec': 20, 'unit': 653681934549982850243, 'val': 1}
  • id: 1498077
    {'lmfdb_iso': '30912.ci', 'p': 17, 'prec': 20, 'unit': 105770304429299879921417, 'val': 1}
  • id: 1498078
    {'lmfdb_iso': '30912.ci', 'p': 19, 'prec': 20, 'unit': 1588792274983936108589567, 'val': 1}
  • id: 1498074
    {'lmfdb_iso': '30912.ci', 'p': 29, 'prec': 20, 'unit': 2964519530224663107706100725, 'val': 1}
  • id: 1498071
    {'lmfdb_iso': '30912.ci', 'p': 31, 'prec': 20, 'unit': 14261848745909317041851228092, 'val': 1}
  • id: 1498085
    {'lmfdb_iso': '30912.ci', 'p': 37, 'prec': 20, 'unit': 598035232984055351016670811028, 'val': 1}
  • id: 1498072
    {'lmfdb_iso': '30912.ci', 'p': 41, 'prec': 20, 'unit': 1646180554948230084924058404385, 'val': 1}
  • id: 1498073
    {'lmfdb_iso': '30912.ci', 'p': 43, 'prec': 20, 'unit': 429849981285330806765744834025, 'val': 1}
  • id: 1498076
    {'lmfdb_iso': '30912.ci', 'p': 47, 'prec': 20, 'unit': 28205178321811750176016217927838, 'val': 1}
  • id: 1498079
    {'lmfdb_iso': '30912.ci', 'p': 53, 'prec': 20, 'unit': 458014693116510233966326578960108, 'val': 1}
  • id: 1498083
    {'lmfdb_iso': '30912.ci', 'p': 59, 'prec': 20, 'unit': 2857036361918424165609208825123949, 'val': 1}
  • id: 1498084
    {'lmfdb_iso': '30912.ci', 'p': 61, 'prec': 20, 'unit': 4066946680799146321614838669399659, 'val': 1}
  • id: 1498067
    {'lmfdb_iso': '30912.ci', 'p': 67, 'prec': 20, 'unit': 42721169292089113795942647567540176, 'val': 1}
  • id: 1498070
    {'lmfdb_iso': '30912.ci', 'p': 71, 'prec': 20, 'unit': 106240883888787793153407411744170304, 'val': 1}
  • id: 1498080
    {'lmfdb_iso': '30912.ci', 'p': 73, 'prec': 20, 'unit': 134091089782524723888248027919198394, 'val': 1}
  • id: 1498081
    {'lmfdb_iso': '30912.ci', 'p': 83, 'prec': 20, 'unit': 2654509799885639288876285447785903216, 'val': 1}
  • id: 1498082
    {'lmfdb_iso': '30912.ci', 'p': 89, 'prec': 20, 'unit': 5130509265112692105040094622565346252, 'val': 1}
  • id: 1498066
    {'lmfdb_iso': '30912.ci', 'p': 97, 'prec': 20, 'unit': 19668145954836081714099057636219444350, 'val': 1}