Elliptic curve isogeny class data - 277200.bb

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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, 0, 0, -1, 0, 0, 0, -1, 0, -2, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 0, -1, -1, -2, 2, 0, 8, 2, 8, 2, -10, 4, -8, 6, 0, 10, -12, 16, 14, 0, 0, 6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 277200, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '277200.bb', 'trace_hash': 2118336875054066258}
• lmfdb_iso 277200.bb 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: 1751424
    {'Ciso': '277200bb', 'Clabel': '277200bb4', 'Cnumber': 4, 'abc_quality': 1.0357809367334248, 'absD': 108436382208000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -18589275, -30849045750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 277200, 'degree': 9437184, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6743453592976798985254576975', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [15226621995131793, 2324168], 'lmfdb_iso': '277200.bb', 'lmfdb_label': '277200.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -5164, -141529], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '56.24.0.v.1', '60.12.0-4.c.1.2', '120.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.7741274724108472512361575670', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 6, 30800], [5, 14, 11088], [7, 8, 39600], [11, 12, 25200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62717307818662955611022329097', 'prec': 103}, 'szpiro_ratio': 4.933406424614233, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1751423
    {'Ciso': '277200bb', 'Clabel': '277200bb3', 'Cnumber': 3, 'abc_quality': 1.1340815776703688, 'absD': 560063165308416000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -2173275, 473546250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 277200, 'degree': 9437184, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6743453592976798985254576975', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [24331017010833, 12004097336], 'lmfdb_iso': '277200.bb', 'lmfdb_label': '277200.bb2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -604, 2343], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '56.24.0.bp.1', '120.24.0.?', '420.12.0.?', '840.48.0.?'], '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': '6.7741274724108472512361575670', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1575], [3, 6, 30800], [5, 14, 11088], [7, 8, 39600], [11, 12, 25200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62717307818662955611022329097', 'prec': 103}, 'szpiro_ratio': 4.4196181567249715, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1751422
    {'Ciso': '277200bb', 'Clabel': '277200bb2', 'Cnumber': 2, 'abc_quality': 1.0843785851749197, 'absD': 2142171795456000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -1165275, -479013750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 277200, 'degree': 4718592, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3277717690177072438168416368', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2], 'jinv': [3750606459153, 45914176], 'lmfdb_iso': '277200.bb', 'lmfdb_label': '277200.bb3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -324, -2137], 'min_quad_twist_disc': 60, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '28.12.0.b.1', '56.24.0.d.1', '60.12.0-2.a.1.1', '120.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3870637362054236256180787835', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 6, 30800], [5, 14, 11088], [7, 8, 39600], [11, 12, 25200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28059948790665690140160723027', 'prec': 103}, 'szpiro_ratio': 4.270419256190157, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1751421
    {'Ciso': '277200bb', 'Clabel': '277200bb1', 'Cnumber': 1, 'abc_quality': 1.057467049514408, 'absD': 161864220672000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -13275, -19365750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 277200, 'degree': 2359296, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9811981787377345891082255760', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [-5545233, 3469312], 'lmfdb_iso': '277200.bb', 'lmfdb_label': '277200.bb4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -4, -89], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '14.6.0.b.1', '28.12.0.g.1', '56.24.0.bn.1', '60.12.0-4.c.1.1', '120.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.7741274724108472512361575670', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1575], [3, 6, 30800], [5, 14, 11088], [7, 8, 39600], [11, 12, 25200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.065974102373315753307008830531', 'prec': 110}, 'szpiro_ratio': 3.7567284440759505, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}