Elliptic curve isogeny class data - 377520.fc

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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, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 6, 0, 0, 0], 'aplist': [0, 1, -1, 0, 0, 1, 6, 0, 4, 10, 0, -6, -2, -4, 0, -6, 0, -6, -4, -16, 2, 0, 4, -6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 377520, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '377520.fc', 'trace_hash': 524441885588318250}
• lmfdb_iso 377520.fc 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: 2350941
    {'Ciso': '377520fc', 'Clabel': '377520fc4', 'Cnumber': 4, 'abc_quality': 0.9697774643830833, 'absD': 18652282203709440, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5720, 'ainvs': [0, 1, 0, -936096, -348851340], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 377520, 'degree': 4423680, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1191273598078856354280691453', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 132, 'isogeny_degrees': [1, 2, 4], 'jinv': [12501706118329, 2570490], 'lmfdb_iso': '377520.fc', 'lmfdb_label': '377520.fc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -483, -4293], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.v.1', '88.12.0.?', '104.12.0.?', '220.12.0.?', '440.24.0.?', '520.24.0.?', '1144.24.0.?', '5720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.4123471712692971507834149545', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 605], [3, 4, 125840], [5, 6, 75504], [11, 62, 3120], [13, 14, 29040]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.22703254284875505397986523486', 'prec': 103}, 'szpiro_ratio': 4.116538010328076, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2350939
    {'Ciso': '377520fc', 'Clabel': '377520fc2', 'Cnumber': 2, 'abc_quality': 0.9227266645673144, 'absD': 9933168037478400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5720, 'ainvs': [0, 1, 0, -64896, -4204620], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 377520, 'degree': 2211840, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7725537695279129807194530846', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 132, 'isogeny_degrees': [1, 2], 'jinv': [4165509529, 1368900], 'lmfdb_iso': '377520.fc', 'lmfdb_label': '377520.fc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -33, -63], 'min_quad_twist_disc': 44, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '40.12.0.a.1', '88.12.0.?', '104.12.0.?', '220.12.0.?', '260.12.0.?', '440.24.0.?', '520.24.0.?', '572.12.0.?', '1144.24.0.?', '2860.24.0.?', '5720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2061735856346485753917074773', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 125840], [5, 6, 75504], [11, 62, 3120], [13, 14, 29040]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11954104743121760072875082584', 'prec': 107}, 'szpiro_ratio': 3.4930238295182092, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2350938
    {'Ciso': '377520fc', 'Clabel': '377520fc1', 'Cnumber': 1, 'abc_quality': 0.8780552029900824, 'absD': 67919097692160, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5720, 'ainvs': [0, 1, 0, -26176, 1572404], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 377520, 'degree': 1105920, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4259801792479403260108370239', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 132, 'isogeny_degrees': [1, 2, 4], 'jinv': [273359449, 9360], 'lmfdb_iso': '377520.fc', 'lmfdb_label': '377520.fc3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -13, 13], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.bb.1', '88.12.0.?', '104.12.0.?', '130.6.0.?', '220.12.0.?', '260.12.0.?', '440.24.0.?', '520.24.0.?', '572.12.0.?', '1144.24.0.?', '2860.24.0.?', '5720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.4123471712692971507834149545', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 7865], [3, 4, 125840], [5, 6, 75504], [11, 62, 3120], [13, 14, 29040]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.46611463771119025543736688654', 'prec': 107}, 'szpiro_ratio': 3.280912160850272, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2350940
    {'Ciso': '377520fc', 'Clabel': '377520fc3', 'Cnumber': 3, 'abc_quality': 1.035787691267508, 'absD': 773640972149760000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5720, 'ainvs': [0, 1, 0, 186784, -28667916], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 377520, 'degree': 4423680, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1191273598078856354280691453', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 132, 'isogeny_degrees': [1, 2, 4], 'jinv': [99317171591, 106616250], 'lmfdb_iso': '377520.fc', 'lmfdb_label': '377520.fc4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 97, -297], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.bb.1', '88.12.0.?', '104.12.0.?', '440.24.0.?', '520.24.0.?', '572.12.0.?', '1144.24.0.?', '5720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.4123471712692971507834149545', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1573], [3, 4, 125840], [5, 6, 75504], [11, 62, 3120], [13, 14, 29040]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.22703254284875505397986523486', 'prec': 103}, 'szpiro_ratio': 3.7399972987491723, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}