Elliptic curve isogeny class data - 54390.bg

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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, -1, 1, 1, 1, -1, 0, -1, 1, -1, 4, 1, -2, 0, 1, 1, 2, -1, -8, 1], 'aplist': [-1, 1, 1, 0, 4, -2, 2, -8, 0, -6, 8, -1, 6, 4, 12, -6, 0, 6, 12, 0, 6, -8, -4, 14, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 54390, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '54390.bg', 'trace_hash': 1066513569763781497}
• lmfdb_iso 54390.bg 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 361068
    {'Ciso': '54390ba', 'Clabel': '54390ba4', 'Cnumber': 4, 'abc_quality': 1.0723763682349206, 'absD': 14813754080208168960, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10360, 'ainvs': [1, 0, 1, -17557587318, 895456842421768], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 37], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 54390, 'degree': 56770560, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1241378215453641568578371744', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 4], 'jinv': [5087799435928552778197163696329, 125914832087040], 'lmfdb_iso': '54390.bg', 'lmfdb_label': '54390.bg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -358318108, -2610814913072], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.v.1', '56.12.0-4.c.1.2', '140.12.0.?', '280.24.0.?', '296.12.0.?', '1480.24.0.?', '2072.24.0.?', '10360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.1511827470177075043051608027', 'prec': 100}, 'szpiro_ratio': 7.55505738200296, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 361066
    {'Ciso': '54390ba', 'Clabel': '54390ba2', 'Cnumber': 2, 'abc_quality': 1.057383147699428, 'absD': 726995423613818083737600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10360, 'ainvs': [1, 0, 1, -1097350518, 13991409497608], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 37], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 54390, 'degree': 28385280, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7775642312653915021492211137', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [1242142983306846366056931529, 6179359141291622400], 'lmfdb_iso': '54390.bg', 'lmfdb_label': '54390.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -22394908, -40800879152], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '40.12.0.a.1', '56.12.0-2.a.1.1', '140.12.0.?', '280.24.0.?', '296.12.0.?', '740.12.0.?', '1036.12.0.?', '1480.24.0.?', '2072.24.0.?', '5180.24.0.?', '10360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8046091567377348495965447420', 'prec': 100}, 'szpiro_ratio': 6.792235324371977, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 361067
    {'Ciso': '54390ba', 'Clabel': '54390ba3', 'Cnumber': 3, 'abc_quality': 1.0582453643508336, 'absD': 10324762843308184252074240000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10360, 'ainvs': [1, 0, 1, -1078785398, 14487662581256], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 37], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 54390, 'degree': 56770560, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1241378215453641568578371744', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 4], 'jinv': [-1180159344892952613848670409, 87759036144023189760000], 'lmfdb_iso': '54390.bg', 'lmfdb_label': '54390.bg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -22016028, -42247518768], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.bb.1', '56.12.0-4.c.1.1', '280.24.0.?', '296.12.0.?', '1036.12.0.?', '1480.24.0.?', '2072.24.0.?', '10360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.1511827470177075043051608027', 'prec': 100}, 'szpiro_ratio': 6.798627377524819, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 361065
    {'Ciso': '54390ba', 'Clabel': '54390ba1', 'Cnumber': 1, 'abc_quality': 1.0397547745428808, 'absD': 2512174572304923560509440, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10360, 'ainvs': [1, 0, 1, -69746038, 210822379016], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 37], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 54390, 'degree': 14192640, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4309906409854188474406050530', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 4], 'jinv': [318929057401476905525449, 21353131537921474560], 'lmfdb_iso': '54390.bg', 'lmfdb_label': '54390.bg4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1423388, -615252528], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.bb.1', '56.12.0-4.c.1.4', '140.12.0.?', '280.24.0.?', '296.12.0.?', '370.6.0.?', '740.12.0.?', '1036.12.0.?', '1480.24.0.?', '2072.24.0.?', '5180.24.0.?', '10360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4580355664577621948879286813', 'prec': 100}, 'szpiro_ratio': 6.034033856585166, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}