Elliptic curve isogeny class data - 77.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, -2, 3, 0, 1, 0, -2, 0, -1, -2, -4, 0, 3, 4, -6, 0, 2, -6], 'aplist': [0, 1, 3, 1, -1, -4, -6, 2, 3, -6, 5, 11, 6, 8, 0, -6, -9, -10, 5, 9, 2, -10, 12, -3, -1], 'class_deg': 9, 'class_size': 3, 'conductor': 77, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '77.b', 'trace_hash': 874065559975919228}
• lmfdb_iso 77.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: 221
    {'Ciso': '77b', 'Clabel': '77b3', 'Cnumber': 3, 'abc_quality': 1.0060400503962048, 'absD': 539, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 1386, 'ainvs': [0, 1, 1, -89, 295], 'analytic_rank': 0, 'bad_primes': [7, 11], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 77, 'degree': 60, 'elladic_images': ['9.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.29499966938540413647508105321', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3, 9], 'jinv': [-78843215872, 539], 'lmfdb_iso': '77.b', 'lmfdb_label': '77.b1', 'lmfdb_number': 1, 'manin_constant': 3, 'min_quad_twist_ainvs': [0, 1, 1, -89, 295], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '9.24.0-9.a.1.2', '22.2.0.a.1', '63.72.0-63.e.1.2', '66.16.0-66.a.1.4', '198.48.1.?', '1386.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 11], [7, 8, 11], [11, 12, 7]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29499966938540413647508105321', 'prec': 107}, 'szpiro_ratio': 5.776211520701965, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
  • id: 219
    {'Ciso': '77b', 'Clabel': '77b1', 'Cnumber': 1, 'abc_quality': 1.0652168396120913, 'absD': 156590819, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 1386, 'ainvs': [0, 1, 1, -49, 600], 'analytic_rank': 0, 'bad_primes': [7, 11], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 77, 'degree': 20, 'elladic_images': ['3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.25430647494865070922254156525', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [-13278380032, 156590819], 'lmfdb_iso': '77.b', 'lmfdb_label': '77.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -49, 600], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '22.2.0.a.1', '63.72.0-63.b.1.3', '66.48.1-66.b.1.1', '1386.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 11], [3, 2, 1], [7, 8, 11], [11, 12, 7]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25430647494865070922254156525', 'prec': 103}, 'szpiro_ratio': 6.071122024362502, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
  • id: 220
    {'Ciso': '77b', 'Clabel': '77b2', 'Cnumber': 2, 'abc_quality': 1.0659265883154396, 'absD': 115539436859, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 1386, 'ainvs': [0, 1, 1, 441, -15815], 'analytic_rank': 0, 'bad_primes': [7, 11], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 77, 'degree': 60, 'elladic_images': ['9.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.80361261928270555492016418371', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3, 9], 'jinv': [9463555063808, 115539436859], 'lmfdb_iso': '77.b', 'lmfdb_label': '77.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 441, -15815], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '9.24.0-9.a.1.1', '22.2.0.a.1', '63.72.0-63.e.2.2', '66.16.0-66.a.1.1', '198.48.1.?', '1386.144.3.?'], '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': True, 'serre_invariants': [[2, 2, 11], [3, 2, 7], [7, 8, 11], [11, 12, 7]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80361261928270555492016418371', 'prec': 103}, 'szpiro_ratio': 7.569178195449453, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}