Elliptic curve isogeny class data - 637.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, 2, -2, 3, 0, 0, 0, 1, 0, 0, -4, -1, 0, 6, 4, 6, 0, 7, -6], 'aplist': [0, 2, 3, 0, 0, -1, 6, 7, 3, -9, -5, 2, 6, -1, -3, -9, 0, 10, 14, -6, -11, -1, -3, -15, 1], 'class_deg': 9, 'class_size': 3, 'conductor': 637, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '637.b', 'trace_hash': 1977031095258253576}
• lmfdb_iso 637.b 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: 2968
    {'Ciso': '637b', 'Clabel': '637b3', 'Cnumber': 3, 'abc_quality': 1.1502342302824948, 'absD': 61718299629259, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 1638, 'ainvs': [0, -1, 1, -5749, 415463], 'analytic_rank': 0, 'bad_primes': [7, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 637, 'degree': 1728, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3330589161440993063527570871', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3, 9], 'jinv': [-178643795968, 524596891], 'lmfdb_iso': '637.b', 'lmfdb_label': '637.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -117, -1245], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '21.8.0-3.a.1.2', '63.24.0-9.a.1.2', '78.8.0.?', '117.36.0.?', '182.2.0.?', '234.72.0.?', '546.16.0.?', '819.72.0.?', '1638.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[7, 32, 13], [13, 14, 49]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.36010384161644265380008071538', 'prec': 103}, 'szpiro_ratio': 6.100294695200196, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 2966
    {'Ciso': '637b', 'Clabel': '637b1', 'Cnumber': 1, 'abc_quality': 0.8714055948137694, 'absD': 10706059, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 1638, 'ainvs': [0, -1, 1, -359, -2507], 'analytic_rank': 0, 'bad_primes': [7, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 637, 'degree': 192, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.23444662747598961495751185016', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3, 9], 'jinv': [-43614208, 91], 'lmfdb_iso': '637.b', 'lmfdb_label': '637.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -7, 5], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '21.8.0-3.a.1.1', '63.24.0-9.a.1.1', '78.8.0.?', '117.36.0.?', '182.2.0.?', '234.72.0.?', '546.16.0.?', '819.72.0.?', '1638.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[7, 32, 13], [13, 14, 49]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.73850844705166703759516452156', 'prec': 107}, 'szpiro_ratio': 4.533219385095935, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 2967
    {'Ciso': '637b', 'Clabel': '637b2', 'Cnumber': 2, 'abc_quality': 0.9579816735246167, 'absD': 88656874579, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 1638, 'ainvs': [0, -1, 1, 621, -13238], 'analytic_rank': 0, 'bad_primes': [7, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 637, 'degree': 576, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.78375277181004446065513446862', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [224755712, 753571], 'lmfdb_iso': '637.b', 'lmfdb_label': '637.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 13, 42], 'min_quad_twist_disc': -7, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '21.24.0-3.a.1.1', '78.24.0.?', '117.36.0.?', '182.2.0.?', '234.72.0.?', '546.48.1.?', '819.72.0.?', '1638.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 2, 49], [7, 32, 13], [13, 14, 49]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.18920230271761219189754190310', 'prec': 107}, 'szpiro_ratio': 5.0293402265870855, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}