Elliptic curve isogeny class data - 18150.bi

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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, 1, 1, 0, -1, 0, -1, 1, 0, 0, 1, 2, 0, 0, 1, -2, -1, -8, 0], 'aplist': [-1, 1, 0, 0, 0, 2, -2, -8, -4, -2, 8, 2, -6, 8, 4, -2, 4, 6, 12, -12, 2, 0, 4, -6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 18150, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '18150.bi', 'trace_hash': 97682544130971557}
• ec_padic •

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

  
  
  • id: 832530
    {'lmfdb_iso': '18150.bi', 'p': 13, 'prec': 20, 'unit': 1114573353953178122216, 'val': 1}
  • id: 832532
    {'lmfdb_iso': '18150.bi', 'p': 17, 'prec': 20, 'unit': 77390802412478300942872, 'val': 1}
  • id: 832533
    {'lmfdb_iso': '18150.bi', 'p': 19, 'prec': 20, 'unit': 772993007100436394599861, 'val': 1}
  • id: 832536
    {'lmfdb_iso': '18150.bi', 'p': 23, 'prec': 20, 'unit': 15183117814589199444385548, 'val': 1}
  • id: 832529
    {'lmfdb_iso': '18150.bi', 'p': 29, 'prec': 20, 'unit': 3836801103129362170761959324, 'val': 1}
  • id: 832540
    {'lmfdb_iso': '18150.bi', 'p': 31, 'prec': 20, 'unit': 2123028154980960752539089109, 'val': 1}
  • id: 832525
    {'lmfdb_iso': '18150.bi', 'p': 37, 'prec': 20, 'unit': 52592713772739506819855245567, 'val': 1}
  • id: 832527
    {'lmfdb_iso': '18150.bi', 'p': 41, 'prec': 20, 'unit': 3802399193682463120827194393432, 'val': 1}
  • id: 832528
    {'lmfdb_iso': '18150.bi', 'p': 43, 'prec': 20, 'unit': 6182254861568947600253123981737, 'val': 1}
  • id: 832531
    {'lmfdb_iso': '18150.bi', 'p': 47, 'prec': 20, 'unit': 24326078696400211357689922638666, 'val': 1}
  • id: 832534
    {'lmfdb_iso': '18150.bi', 'p': 53, 'prec': 20, 'unit': 355285052327028379852184392104596, 'val': 1}
  • id: 832538
    {'lmfdb_iso': '18150.bi', 'p': 59, 'prec': 20, 'unit': 2209014534384133460560784234549867, 'val': 1}
  • id: 832539
    {'lmfdb_iso': '18150.bi', 'p': 61, 'prec': 20, 'unit': 372506803437478781034681973047571, 'val': 1}
  • id: 832524
    {'lmfdb_iso': '18150.bi', 'p': 67, 'prec': 20, 'unit': 4252749571412859125062170596582724, 'val': 1}
  • id: 832526
    {'lmfdb_iso': '18150.bi', 'p': 71, 'prec': 20, 'unit': 89610385561048823558897752054186070, 'val': 1}
  • id: 832535
    {'lmfdb_iso': '18150.bi', 'p': 73, 'prec': 20, 'unit': 213780633443745535606475089179824354, 'val': 1}
  • id: 832523
    {'lmfdb_iso': '18150.bi', 'p': 83, 'prec': 20, 'unit': 1264587848738696544106525984086729061, 'val': 1}
  • id: 832537
    {'lmfdb_iso': '18150.bi', 'p': 89, 'prec': 20, 'unit': 10747794940621745624717345559609248248, 'val': 1}
  • id: 832522
    {'lmfdb_iso': '18150.bi', 'p': 97, 'prec': 20, 'unit': 30963110159947562279289263791264653652, '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
  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[]

  
  
  • id: 119822
    {'Ciso': '18150y', 'Clabel': '18150y3', 'Cnumber': 3, 'abc_quality': 1.0158633909872032, 'absD': 53084034267515289843750, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [1, 0, 1, -12594651, -13157606552], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 18150, 'degree': 1843200, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0716503435536115715560430060', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [7981893677157049, 1917731420550], 'lmfdb_iso': '18150.bi', 'lmfdb_label': '18150.bi1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -4163, 77343], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '24.12.0.bb.1', '88.12.0.?', '120.24.0.?', '264.24.0.?', '440.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7027626665444415194721801176', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3025], [3, 4, 6050], [5, 18, 242], [11, 72, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0679837509373761122246915504', 'prec': 100}, 'szpiro_ratio': 6.185734964413525, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 119821
    {'Ciso': '18150y', 'Clabel': '18150y2', 'Cnumber': 2, 'abc_quality': 0.9945009363078844, 'absD': 494440529850351562500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [1, 0, 1, -4275901, 3230330948], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 18150, 'degree': 921600, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7250767532736389168474269453', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2], 'jinv': [312341975961049, 17862322500], 'lmfdb_iso': '18150.bi', 'lmfdb_label': '18150.bi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1413, -20007], 'min_quad_twist_disc': -55, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '24.12.0.a.1', '88.12.0.?', '120.24.0.?', '132.12.0.?', '264.24.0.?', '440.24.0.?', '660.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3513813332722207597360900588', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3025], [3, 4, 6050], [5, 18, 242], [11, 72, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.72141016065740345751607548971', 'prec': 103}, 'szpiro_ratio': 5.855254486223196, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 119820
    {'Ciso': '18150y', 'Clabel': '18150y1', 'Cnumber': 1, 'abc_quality': 0.992742012197403, 'absD': 29596140956250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [1, 0, 1, -4215401, 3330881948], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 18150, 'degree': 460800, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3785031629936662621388108846', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [299270638153369, 1069200], 'lmfdb_iso': '18150.bi', 'lmfdb_label': '18150.bi3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1393, -20603], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '24.12.0.bb.1', '66.6.0.a.1', '88.12.0.?', '120.24.0.?', '132.12.0.?', '264.24.0.?', '440.24.0.?', '660.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.67569066663611037986804502940', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 9075], [3, 4, 6050], [5, 18, 242], [11, 72, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.37483657037743080280745942900', 'prec': 103}, 'szpiro_ratio': 5.850895063459721, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 119823
    {'Ciso': '18150y', 'Clabel': '18150y4', 'Cnumber': 4, 'abc_quality': 1.042494685403093, 'absD': 76938405493688964843750, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [1, 0, 1, 3074849, 13183246448], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 18150, 'degree': 1843200, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0716503435536115715560430060', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [116149984977671, 2779502343750], 'lmfdb_iso': '18150.bi', 'lmfdb_label': '18150.bi4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 1017, -78813], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.v.1', '40.12.0-4.c.1.5', '88.12.0.?', '120.24.0.?', '264.24.0.?', '440.24.0.?', '660.12.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7027626665444415194721801176', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9075], [3, 4, 6050], [5, 18, 242], [11, 72, 150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0679837509373761122246915504', 'prec': 100}, 'szpiro_ratio': 6.13144207184547, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}