Elliptic curve data - 4800.bq1

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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': '4800bf', 'Clabel': '4800bf1', 'Cnumber': 1, 'abc_quality': 1.0439051029424253, 'absD': 120000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 1, 0, -33, -87], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 4800, 'degree': 480, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.24652474381470015997657587053', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 42, 'isogeny_degrees': [1, 5], 'jinv': [-102400, 3], 'lmfdb_iso': '4800.bq', 'lmfdb_label': '4800.bq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -8, -7], 'min_quad_twist_disc': 8, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '6.2.0.a.1', '30.24.1.d.2', '40.24.0-5.a.2.4', '120.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3853003397069058826025615725', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 4, 1600], [5, 14, 192]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1295776382393729395521117090', 'prec': 103}, 'szpiro_ratio': 2.6169998262921252, '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, 1, 0, 0, 0, -3, 0, 1, 0, -2, 0, -1, 0, 0, 0, 2, 0, 5, 0], 'aplist': [0, 1, 0, -3, -2, -1, 2, 5, 6, -10, -3, -2, -8, -1, 2, 4, 10, -7, 3, -8, -14, 0, -6, 0, 17], 'class_deg': 5, 'class_size': 2, 'conductor': 4800, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '4800.bq', 'trace_hash': 568812346329284534}
• 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': '1.6373015455564098207950064873', 'prec': 100}, 'conductor': 4800, 'gens': [[8, 15, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3853003397069058826025615725', 'prec': 100}], 'lmfdb_label': '4800.bq1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.99174550261186491375809973541', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1215961450130377408767881826645568144', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': [8]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '4800.bq1'}
• ec_torsion_growth •

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

  
  
  • id: 249711
    {'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '4800.bq1', 'torsion': [2]}
  • id: 249712
    {'degree': 4, 'field': [20, 0, 10, 0, 1], 'lmfdb_label': '4800.bq1', 'torsion': [5]}
  • id: 249713
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '4800.bq1', 'torsion': [2, 2]}
  • id: 249714
    {'degree': 8, 'field': [-48, 0, 56, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '4800.bq1', 'torsion': [3]}
  • id: 249715
    {'degree': 10, 'field': [-640, 0, 80, 0, 200, 0, 100, 0, 10, 0, 1], 'lmfdb_label': '4800.bq1', 'torsion': [5]}
  • id: 249716
    {'degree': 12, 'field': [-3, 0, -20, 0, 87, 0, -100, 0, -1, 0, 0, 0, 1], 'lmfdb_label': '4800.bq1', 'torsion': [4]}
  • id: 249717
    {'degree': 12, 'field': [20, 0, 120, 0, 0, 0, -20, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '4800.bq1', 'torsion': [10]}
• 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: 92065
    {'conductor': 4800, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '4800.bq1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 92066
    {'conductor': 4800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4800.bq1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 92067
    {'conductor': 4800, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '4800.bq1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1695156
    {'adelic_gens': [[3, 10, 20, 19], [31, 0, 0, 1], [111, 10, 110, 11], [1, 0, 10, 1], [6, 13, 65, 1], [114, 107, 115, 119], [109, 110, 95, 99], [59, 0, 0, 119], [21, 10, 20, 11], [1, 10, 0, 1]], 'adelic_image': '120.48.1.?', 'conductor': 4800, 'lmfdb_label': '4800.bq1', 'prime': 0}
  • id: 23675
    {'conductor': 4800, 'elladic_image': '5.12.0.2', 'lmfdb_label': '4800.bq1', 'modell_image': '5B.4.2', 'prime': 5}
• ec_padic •

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

  
  
  • id: 174663
    {'lmfdb_iso': '4800.bq', 'p': 7, 'prec': 20, 'unit': 6837168585581093, 'val': 1}
  • id: 174661
    {'lmfdb_iso': '4800.bq', 'p': 11, 'prec': 20, 'unit': 13381030511335635631, 'val': 1}
  • id: 174667
    {'lmfdb_iso': '4800.bq', 'p': 13, 'prec': 20, 'unit': 135223917673132405196, 'val': 1}
  • id: 174669
    {'lmfdb_iso': '4800.bq', 'p': 17, 'prec': 20, 'unit': 124473920053926634703329, 'val': 1}
  • id: 174670
    {'lmfdb_iso': '4800.bq', 'p': 19, 'prec': 20, 'unit': 776924291900694316567339, 'val': 1}
  • id: 174673
    {'lmfdb_iso': '4800.bq', 'p': 23, 'prec': 20, 'unit': 2114066545993385477120484, 'val': 2}
  • id: 174666
    {'lmfdb_iso': '4800.bq', 'p': 29, 'prec': 20, 'unit': 4531179693773101601783283037, 'val': 1}
  • id: 174678
    {'lmfdb_iso': '4800.bq', 'p': 31, 'prec': 20, 'unit': 7713567078325977298351399040, 'val': 1}
  • id: 174662
    {'lmfdb_iso': '4800.bq', 'p': 37, 'prec': 20, 'unit': 83665261859061857864501188093, 'val': 1}
  • id: 174664
    {'lmfdb_iso': '4800.bq', 'p': 41, 'prec': 20, 'unit': 1837881396865809237923798173813, 'val': 1}
  • id: 174665
    {'lmfdb_iso': '4800.bq', 'p': 43, 'prec': 20, 'unit': 4535696779654238609328088902231, 'val': 1}
  • id: 174668
    {'lmfdb_iso': '4800.bq', 'p': 47, 'prec': 20, 'unit': 36506293667057249217849767869174, 'val': 1}
  • id: 174671
    {'lmfdb_iso': '4800.bq', 'p': 53, 'prec': 20, 'unit': 482479855018520694648276042833853, 'val': 1}
  • id: 174676
    {'lmfdb_iso': '4800.bq', 'p': 59, 'prec': 20, 'unit': 2476054503532727573764483465224450, 'val': 1}
  • id: 174677
    {'lmfdb_iso': '4800.bq', 'p': 61, 'prec': 20, 'unit': 3382315610997247290207272740188988, 'val': 1}
  • id: 174660
    {'lmfdb_iso': '4800.bq', 'p': 67, 'prec': 20, 'unit': 7845544617360382078072058244758014, 'val': 1}
  • id: 174675
    {'lmfdb_iso': '4800.bq', 'p': 71, 'prec': 20, 'unit': 88407143209239923456324513492679690, 'val': 1}
  • id: 174672
    {'lmfdb_iso': '4800.bq', 'p': 73, 'prec': 20, 'unit': 98314179536782970290522333255691478, 'val': 1}
  • id: 174674
    {'lmfdb_iso': '4800.bq', 'p': 83, 'prec': 20, 'unit': 1814947982548954821636012916033474648, 'val': 1}
  • id: 174659
    {'lmfdb_iso': '4800.bq', 'p': 97, 'prec': 20, 'unit': 4764266435756224258765589809918256259, 'val': 1}