Elliptic curve isogeny class data - 457776.fg

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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, 0, 0, 2, 0, 4, 0, 0, 0, -1, 0, 6, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, 0, 2, 4, -1, 6, 0, -4, 0, 2, 0, 10, -10, 4, 4, 2, 0, -2, -12, 0, 10, 4, -12, 14, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 457776, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '457776.fg', 'trace_hash': 1013798571076718445}
• lmfdb_iso 457776.fg 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: 2818721
    {'Ciso': '457776fg', 'Clabel': '457776fg3', 'Cnumber': 3, 'abc_quality': 1.0294913049284855, 'absD': 22745373206149456942399930368, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, 0, 0, -20139627099, 1100058556561418], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 457776, 'degree': 849346560, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.5493259860627980151456652050', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 136, 'isogeny_degrees': [1, 2, 4], 'jinv': [12534210458299016895673, 315581882565708], 'lmfdb_iso': '457776.fg', 'lmfdb_label': '457776.fg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -483939, 129374577], 'min_quad_twist_disc': 204, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '88.12.0.?', '136.12.0.?', '264.24.0.?', '408.24.0.?', '748.12.0.?', '1496.24.0.?', '2244.24.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '101.55082162832109612154139012', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 28611], [3, 8, 4624], [11, 12, 41616], [17, 162, 1584]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8902659891406898199060431561', 'prec': 100}, 'szpiro_ratio': 6.3518957724474365, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2818720
    {'Ciso': '457776fg', 'Clabel': '457776fg2', 'Cnumber': 2, 'abc_quality': 1.070078751332218, 'absD': 34863219328729953918656249856, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2244, 'ainvs': [0, 0, 0, -1306722459, 15806804046410], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 457776, 'degree': 424673280, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2027523957828253604370491443', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 136, 'isogeny_degrees': [1, 2], 'jinv': [3423676911662954233, 483711578981136], 'lmfdb_iso': '457776.fg', 'lmfdb_label': '457776.fg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -31399, 1848805], 'min_quad_twist_disc': 204, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '44.12.0-2.a.1.2', '68.12.0-2.a.1.1', '132.24.0.?', '204.24.0.?', '748.24.0.?', '2244.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '50.775410814160548060770695062', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2601], [3, 8, 4624], [11, 12, 41616], [17, 162, 1584]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5436923988607171651974270954', 'prec': 100}, 'szpiro_ratio': 5.722356354316999, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2818719
    {'Ciso': '457776fg', 'Clabel': '457776fg1', 'Cnumber': 1, 'abc_quality': 0.9879715979533532, 'absD': 498426339229600278635347968, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, 0, 0, -344560539, -2215066012342], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 457776, 'degree': 212336640, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8561788055028527057284330836', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 136, 'isogeny_degrees': [1, 2, 4], 'jinv': [62768149033310713, 6915442583808], 'lmfdb_iso': '457776.fg', 'lmfdb_label': '457776.fg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -8279, -264363], 'min_quad_twist_disc': 204, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '66.6.0.a.1', '68.12.0-4.c.1.1', '88.12.0.?', '132.12.0.?', '264.24.0.?', '408.24.0.?', '1496.24.0.?', '2244.24.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '25.387705407080274030385347531', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 28611], [3, 8, 4624], [11, 12, 41616], [17, 162, 1584]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1971188085807445104888110347', 'prec': 100}, 'szpiro_ratio': 5.4155448528892896, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2818722
    {'Ciso': '457776fg', 'Clabel': '457776fg4', 'Cnumber': 4, 'abc_quality': 1.0924697760886544, 'absD': 3737734186469629986328285200384, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, 0, 0, 2131591461, 84954735291530], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 457776, 'degree': 849346560, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.5493259860627980151456652050', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 136, 'isogeny_degrees': [1, 2, 4], 'jinv': [14861225463775641287, 51859390496937804], 'lmfdb_iso': '457776.fg', 'lmfdb_label': '457776.fg4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 51221, 10028185], 'min_quad_twist_disc': 204, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '68.12.0-4.c.1.2', '88.12.0.?', '102.6.0.?', '204.24.0.?', '264.24.0.?', '1496.24.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '101.55082162832109612154139012', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2601], [3, 8, 4624], [11, 12, 41616], [17, 162, 1584]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8902659891406898199060431561', 'prec': 100}, 'szpiro_ratio': 5.958924270354425, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}