Elliptic curve isogeny class data - 198744.bb

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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, 2, 0, 0, 0, 1, 0, -4, 0, 0, 0, -2, 0, -6, 0, 4, 0], 'aplist': [0, -1, 2, 0, -4, 0, -6, 4, -8, -6, 8, -2, 2, -4, -12, -6, 12, 6, 0, -16, -2, 0, -4, 2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 198744, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '198744.bb', 'trace_hash': 2044290681021909056}
• lmfdb_iso 198744.bb does not appear in ec_padic
• 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: 1275143
    {'Ciso': '198744ds', 'Clabel': '198744ds4', 'Cnumber': 4, 'abc_quality': 1.045887654306257, 'absD': 5650175047579451977649338368, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, -1, 0, -448766712, 557104816332], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 198744, 'degree': 130056192, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0151215128645859467838039599', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [8594236719188066, 4858291807551], 'lmfdb_iso': '198744.bb', 'lmfdb_label': '198744.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -54192, -757152], 'min_quad_twist_disc': -91, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.4', '56.12.0.bb.1', '84.12.0.?', '104.12.0.?', '168.24.0.?', '312.24.0.?', '728.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 24843], [3, 4, 66248], [7, 32, 4056], [13, 98, 1176]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1243068440928777259052544227', 'prec': 100}, 'szpiro_ratio': 5.850899452490395, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1275141
    {'Ciso': '198744ds', 'Clabel': '198744ds2', 'Cnumber': 2, 'abc_quality': 0.9873046363895048, 'absD': 8428509556818959974818816, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, -1, 0, -332501472, 2329591653180], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 198744, 'degree': 65028096, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6685479225846132920751878991', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2], 'jinv': [6991270724335972, 14494474449], 'lmfdb_iso': '198744.bb', 'lmfdb_label': '198744.bb2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -40152, -3104640], 'min_quad_twist_disc': -91, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0-2.a.1.2', '52.12.0-2.a.1.1', '56.12.0.a.1', '84.12.0.?', '168.24.0.?', '312.24.0.?', '728.24.0.?', '1092.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 8281], [3, 4, 66248], [7, 32, 4056], [13, 98, 1176]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.83549551885956718031474103871', 'prec': 103}, 'szpiro_ratio': 5.777162286207702, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1275140
    {'Ciso': '198744ds', 'Clabel': '198744ds1', 'Cnumber': 1, 'abc_quality': 0.987247345777624, 'absD': 17502075612408860928, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, -1, 0, -332335852, 2332032163252], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 198744, 'degree': 32514048, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3219743323046406373665718384', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [27923315228972368, 120393], 'lmfdb_iso': '198744.bb', 'lmfdb_label': '198744.bb3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -40132, -3107872], 'min_quad_twist_disc': -91, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.4', '52.12.0-4.c.1.2', '56.12.0.bb.1', '84.12.0.?', '168.24.0.?', '312.24.0.?', '546.6.0.?', '728.24.0.?', '1092.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 24843], [3, 4, 66248], [7, 32, 4056], [13, 98, 1176]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.60444645867291874384233033159', 'prec': 103}, 'szpiro_ratio': 5.777039769053048, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1275142
    {'Ciso': '198744ds', 'Clabel': '198744ds3', 'Cnumber': 3, 'abc_quality': 1.0137478498120591, 'absD': 6054815194808470483135002624, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, -1, 0, -218886152, 3945883195500], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 198744, 'degree': 130056192, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0151215128645859467838039599', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [-997241325462146, 5206220835543], 'lmfdb_iso': '198744.bb', 'lmfdb_label': '198744.bb4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -26432, -5244960], 'min_quad_twist_disc': -91, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.4', '52.12.0-4.c.1.1', '56.12.0.v.1', '168.24.0.?', '312.24.0.?', '728.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 8281], [3, 4, 66248], [7, 32, 4056], [13, 98, 1176]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1243068440928777259052544227', 'prec': 100}, 'szpiro_ratio': 5.863264613113653, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}