Elliptic curve isogeny class data - 13200.b

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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, 0, -1, 0, 0, 0, -4, 0, 1, 0, 1, 0, -2, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, -1, 0, -4, 1, -2, -6, -4, -8, -10, 0, 10, -6, -8, 0, 2, -12, -2, -12, -8, 2, 8, -8, -6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 13200, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '13200.b', 'trace_hash': 521594327105140936}
• ec_padic •

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

  
  
  • id: 580627
    {'lmfdb_iso': '13200.b', 'p': 7, 'prec': 20, 'unit': 149891825859759, 'val': 3}
  • id: 580631
    {'lmfdb_iso': '13200.b', 'p': 13, 'prec': 20, 'unit': 1358821676207188717820, 'val': 2}
  • id: 580633
    {'lmfdb_iso': '13200.b', 'p': 17, 'prec': 20, 'unit': 212833840738235619620962, 'val': 2}
  • id: 580623
    {'lmfdb_iso': '13200.b', 'p': 19, 'prec': 20, 'unit': 1661213618011216838967486, 'val': 2}
  • id: 580637
    {'lmfdb_iso': '13200.b', 'p': 23, 'prec': 20, 'unit': 17277036207097639542251736, 'val': 2}
  • id: 580630
    {'lmfdb_iso': '13200.b', 'p': 29, 'prec': 20, 'unit': 1138782900870922022630040372, 'val': 2}
  • id: 580626
    {'lmfdb_iso': '13200.b', 'p': 37, 'prec': 20, 'unit': 43901766184728019482210391488, 'val': 2}
  • id: 580628
    {'lmfdb_iso': '13200.b', 'p': 41, 'prec': 20, 'unit': 1758949897033945064651896467170, 'val': 2}
  • id: 580629
    {'lmfdb_iso': '13200.b', 'p': 43, 'prec': 20, 'unit': 3203650278340327885364270999926, 'val': 2}
  • id: 580635
    {'lmfdb_iso': '13200.b', 'p': 53, 'prec': 20, 'unit': 557081338511057432105581554044180, 'val': 2}
  • id: 580640
    {'lmfdb_iso': '13200.b', 'p': 59, 'prec': 20, 'unit': 3500787062191930006297723023635284, 'val': 2}
  • id: 580641
    {'lmfdb_iso': '13200.b', 'p': 61, 'prec': 20, 'unit': 8073376450424623147211133099301642, 'val': 2}
  • id: 580625
    {'lmfdb_iso': '13200.b', 'p': 67, 'prec': 20, 'unit': 4929082375693893845058087259906832, 'val': 2}
  • id: 580639
    {'lmfdb_iso': '13200.b', 'p': 71, 'prec': 20, 'unit': 88915049893739676195034549976515121, 'val': 2}
  • id: 580636
    {'lmfdb_iso': '13200.b', 'p': 73, 'prec': 20, 'unit': 41018846814583605442298514061974060, 'val': 2}
  • id: 580632
    {'lmfdb_iso': '13200.b', 'p': 79, 'prec': 20, 'unit': 735155432851967035415141992003741028, 'val': 2}
  • id: 580634
    {'lmfdb_iso': '13200.b', 'p': 83, 'prec': 20, 'unit': 1312127959540919188095134067924150836, 'val': 2}
  • id: 580638
    {'lmfdb_iso': '13200.b', 'p': 89, 'prec': 20, 'unit': 1697754350698495372123138204923687045, 'val': 2}
  • id: 580624
    {'lmfdb_iso': '13200.b', 'p': 97, 'prec': 20, 'unit': 27944863045074862818432531200809005077, 'val': 2}
• 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: 86191
    {'Ciso': '13200m', 'Clabel': '13200m3', 'Cnumber': 3, 'abc_quality': 0.935175191781846, 'absD': 5773680000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, -1, 0, -30008, -1987488], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13200, 'degree': 49152, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3376323741819838512459093266', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [186779563204, 360855], 'lmfdb_iso': '13200.b', 'lmfdb_label': '13200.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1200, 16380], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '40.24.0-40.z.1.12', '88.24.0.?', '220.24.0.?', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 15, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '3.6707508141816088059247639263', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [3, 4, 4400], [5, 18, 528], [11, 12, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.044709232501687427235497107895', 'prec': 110}, 'szpiro_ratio': 4.483707766575872, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 86192
    {'Ciso': '13200m', 'Clabel': '13200m4', 'Cnumber': 4, 'abc_quality': 0.9306311286094568, 'absD': 10541520000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, -1, 0, -25008, 1522512], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13200, 'degree': 49152, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3376323741819838512459093266', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [108108036004, 658845], 'lmfdb_iso': '13200.b', 'lmfdb_label': '13200.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1000, -11780], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '10.6.0.a.1', '20.24.0-20.g.1.2', '88.24.0.?', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 41, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.91768770354540220148119098158', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 4400], [5, 18, 528], [11, 12, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.044709232501687427235497107895', 'prec': 110}, 'szpiro_ratio': 4.426077110797345, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 86190
    {'Ciso': '13200m', 'Clabel': '13200m2', 'Cnumber': 2, 'abc_quality': 0.9352092820152678, 'absD': 980100000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 220, 'ainvs': [0, -1, 0, -2508, -7488], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13200, 'degree': 24576, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.99105878390201119653729326588', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [436334416, 245025], 'lmfdb_iso': '13200.b', 'lmfdb_label': '13200.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -100, 100], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '20.24.0-20.b.1.1', '44.24.0-44.b.1.3', '220.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 19, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '3.6707508141816088059247639263', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 4400], [5, 18, 528], [11, 12, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27575829268833586370790781504', 'prec': 107}, 'szpiro_ratio': 3.698970025834487, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 86189
    {'Ciso': '13200m', 'Clabel': '13200m1', 'Cnumber': 1, 'abc_quality': 0.9670332751849728, 'absD': 15468750000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, -1, 0, 617, -1238], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13200, 'degree': 12288, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.64448519362203854182867720515', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [103737344, 61875], 'lmfdb_iso': '13200.b', 'lmfdb_label': '13200.b4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 25, 0], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '20.12.0-4.c.1.1', '22.6.0.a.1', '40.24.0-40.z.1.2', '44.12.0.g.1', '88.24.0.?', '220.24.0.?', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '3.6707508141816088059247639263', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [3, 4, 4400], [5, 18, 528], [11, 12, 1200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39128282278166008194411316862', 'prec': 107}, 'szpiro_ratio': 3.2553414541579073, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}