Elliptic curve isogeny class data - 57222.bm

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• 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, 1, 0, 1, 0, 0, -2, 1, 0, 0, -1, 0, -4, -2, 0, 1, 0, 0, -4, 0], 'aplist': [1, 0, 0, -2, -1, -4, 0, -4, 6, 6, -8, 10, 6, 8, 6, 0, 0, -8, -4, 6, -2, -14, 12, 6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 57222, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '57222.bm', 'trace_hash': 1150435713886934616}
• ec_padic •

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

  
  
  • id: 2900898
    {'lmfdb_iso': '57222.bm', 'p': 7, 'prec': 20, 'unit': 7791886082935365, 'val': 1}
  • id: 2900902
    {'lmfdb_iso': '57222.bm', 'p': 13, 'prec': 20, 'unit': 343708777594327819319, 'val': 1}
  • id: 2900904
    {'lmfdb_iso': '57222.bm', 'p': 19, 'prec': 20, 'unit': 737704964144292081720023, 'val': 1}
  • id: 2900906
    {'lmfdb_iso': '57222.bm', 'p': 23, 'prec': 20, 'unit': 15498011742883251267831816, 'val': 1}
  • id: 2900901
    {'lmfdb_iso': '57222.bm', 'p': 29, 'prec': 20, 'unit': 3352787876354874009432962316, 'val': 1}
  • id: 2900911
    {'lmfdb_iso': '57222.bm', 'p': 31, 'prec': 20, 'unit': 20793569951735220575667591412, 'val': 1}
  • id: 2900897
    {'lmfdb_iso': '57222.bm', 'p': 37, 'prec': 20, 'unit': 589551130060887632420170084205, 'val': 1}
  • id: 2900899
    {'lmfdb_iso': '57222.bm', 'p': 41, 'prec': 20, 'unit': 3269115502443454592207391355262, 'val': 1}
  • id: 2900900
    {'lmfdb_iso': '57222.bm', 'p': 43, 'prec': 20, 'unit': 6551407834117729614897260080298, 'val': 1}
  • id: 2900903
    {'lmfdb_iso': '57222.bm', 'p': 47, 'prec': 20, 'unit': 22936194171831324443145710007909, 'val': 1}
  • id: 2900910
    {'lmfdb_iso': '57222.bm', 'p': 61, 'prec': 20, 'unit': 45165023681783859001982276219205, 'val': 2}
  • id: 2900896
    {'lmfdb_iso': '57222.bm', 'p': 67, 'prec': 20, 'unit': 21995128492491177665370188494074098, 'val': 1}
  • id: 2900908
    {'lmfdb_iso': '57222.bm', 'p': 71, 'prec': 20, 'unit': 92850687861421569598710607446562397, 'val': 1}
  • id: 2900905
    {'lmfdb_iso': '57222.bm', 'p': 73, 'prec': 20, 'unit': 107024946608957653199256928604731844, 'val': 1}
  • id: 2900909
    {'lmfdb_iso': '57222.bm', 'p': 79, 'prec': 20, 'unit': 638806114709649825915704873133740725, 'val': 1}
  • id: 2900895
    {'lmfdb_iso': '57222.bm', 'p': 83, 'prec': 20, 'unit': 1841454879294330980561621975836781450, 'val': 1}
  • id: 2900907
    {'lmfdb_iso': '57222.bm', 'p': 89, 'prec': 20, 'unit': 8585801023948354950227753114221473083, 'val': 1}
  • id: 2900894
    {'lmfdb_iso': '57222.bm', 'p': 97, 'prec': 20, 'unit': 54925488699213581617362788335406266022, 'val': 1}
• 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[]

  
  
  • id: 379580
    {'Ciso': '57222bh', 'Clabel': '57222bh3', 'Cnumber': 3, 'abc_quality': 0.997746845851364, 'absD': 4496766540121152, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4488, 'ainvs': [1, -1, 1, -209435, 36802059], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 57222, 'degree': 442368, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8558358422068831242595105748', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [57736239625, 255552], 'lmfdb_iso': '57222.bm', 'lmfdb_label': '57222.bm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -81, -284], 'min_quad_twist_disc': -51, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '24.24.0.bx.1', '51.8.0-3.a.1.2', '66.24.0.b.1', '102.24.0.?', '264.48.1.?', '408.48.0.?', '1122.48.0.?', '4488.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.76776229086132613705877062635', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11007697415527976156287935260', 'prec': 107}, 'szpiro_ratio': 4.4154684668516975, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 379581
    {'Ciso': '57222bh', 'Clabel': '57222bh4', 'Cnumber': 4, 'abc_quality': 1.0528666156799333, 'absD': 2244448599337969992, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4488, 'ainvs': [1, -1, 1, -105395, 73299291], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 57222, 'degree': 884736, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2024094324868557789681266356', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-7357983625, 127552392], 'lmfdb_iso': '57222.bm', 'lmfdb_label': '57222.bm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -41, -556], 'min_quad_twist_disc': -51, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '24.24.0.p.1', '51.8.0-3.a.1.2', '102.24.0.?', '132.24.0.?', '264.48.1.?', '408.48.0.?', '2244.48.0.?', '4488.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5355245817226522741175412527', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.23649661612469289314573670820', 'prec': 103}, 'szpiro_ratio': 4.540752187785545, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 379578
    {'Ciso': '57222bh', 'Clabel': '57222bh1', 'Cnumber': 1, 'abc_quality': 0.9258126221887728, 'absD': 20904389907588, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4488, 'ainvs': [1, -1, 1, -14360, -621129], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 57222, 'degree': 147456, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3065296978728282785618879564', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [18609625, 1188], 'lmfdb_iso': '57222.bm', 'lmfdb_label': '57222.bm3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -6, 4], 'min_quad_twist_disc': -51, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '24.24.0.bx.1', '51.8.0-3.a.1.1', '66.24.0.b.1', '102.24.0.?', '264.48.1.?', '408.48.0.?', '1122.48.0.?', '4488.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3032868725839784111763118791', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.65938311848933460726050197100', 'prec': 107}, 'szpiro_ratio': 3.6815400146757202, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 379579
    {'Ciso': '57222bh', 'Clabel': '57222bh2', 'Cnumber': 2, 'abc_quality': 1.0115965249920487, 'absD': 3104301901276818, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4488, 'ainvs': [1, -1, 1, 11650, -2639505], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 57222, 'degree': 294912, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6531032881528009332705040171', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 176418], 'lmfdb_iso': '57222.bm', 'lmfdb_label': '57222.bm4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, 20], 'min_quad_twist_disc': -51, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '24.24.0.p.1', '51.8.0-3.a.1.1', '102.24.0.?', '132.24.0.?', '264.48.1.?', '408.48.0.?', '2244.48.0.?', '4488.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.6065737451679568223526237581', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31280952820936195255188591030', 'prec': 107}, 'szpiro_ratio': 3.9337604707589016, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}