Elliptic curve isogeny class data - 137904.ct

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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, 2, 0, -4, 0, 1, 0, -4, 0, 0, 0, 2, 0, 1, 0, -4, 0], 'aplist': [0, 1, 2, -4, -4, 0, 1, -4, 8, -2, -4, 6, 6, 4, -4, 14, 0, -10, -12, -8, 10, -8, -8, -6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 137904, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '137904.ct', 'trace_hash': 195587293382148839}
• lmfdb_iso 137904.ct 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: 897371
    {'Ciso': '137904cq', 'Clabel': '137904cq4', 'Cnumber': 4, 'abc_quality': 0.9449562683403349, 'absD': 3276978551808, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5304, 'ainvs': [0, 1, 0, -2390392, -1423295548], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 137904, 'degree': 2064384, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0753486004691803120178157835', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 71, 'isogeny_degrees': [1, 2, 4], 'jinv': [305612563186948, 663], 'lmfdb_iso': '137904.ct', 'lmfdb_label': '137904.ct1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -14144, 652188], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '104.24.0.?', '408.24.0.?', '2652.24.0.?', '5304.48.0.?'], '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': '7.9810464403430743857899379592', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21525127127179085281004529483', 'prec': 103}, 'szpiro_ratio': 4.7044984279075095, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 897370
    {'Ciso': '137904cq', 'Clabel': '137904cq3', 'Cnumber': 3, 'abc_quality': 0.9341909408008048, 'absD': 434694481875883008, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5304, 'ainvs': [0, 1, 0, -193392, -8146332], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 137904, 'degree': 2064384, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0753486004691803120178157835', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 71, 'isogeny_degrees': [1, 2, 4], 'jinv': [161838334948, 87947613], 'lmfdb_iso': '137904.ct', 'lmfdb_label': '137904.ct2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1144, 4060], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '26.6.0.b.1', '52.24.0-52.g.1.2', '408.24.0.?', '5304.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9952616100857685964474844898', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21525127127179085281004529483', 'prec': 103}, 'szpiro_ratio': 4.067074396935866, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 897369
    {'Ciso': '137904cq', 'Clabel': '137904cq2', 'Cnumber': 2, 'abc_quality': 0.9352459879321328, 'absD': 543159194962176, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2652, 'ainvs': [0, 1, 0, -149452, -22259860], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 137904, 'degree': 1032192, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7287750101892076573091997228', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 71, 'isogeny_degrees': [1, 2], 'jinv': [298766385232, 439569], 'lmfdb_iso': '137904.ct', 'lmfdb_label': '137904.ct3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -884, 10404], 'min_quad_twist_disc': -52, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '52.24.0-52.b.1.1', '204.24.0.?', '2652.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9905232201715371928949689796', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.015797788914857583662365412290', 'prec': 110}, 'szpiro_ratio': 4.001736399420204, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 897368
    {'Ciso': '137904cq', 'Clabel': '137904cq1', 'Cnumber': 1, 'abc_quality': 0.9547039170966647, 'absD': 112492529348784, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5304, 'ainvs': [0, 1, 0, -6647, -553500], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 137904, 'degree': 516096, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3822014199092350026005836620', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 71, 'isogeny_degrees': [1, 2, 4], 'jinv': [-420616192, 1456611], 'lmfdb_iso': '137904.ct', 'lmfdb_label': '137904.ct4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -39, 264], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '52.12.0-4.c.1.1', '102.6.0.?', '104.24.0.?', '204.12.0.?', '408.24.0.?', '2652.24.0.?', '5304.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.9810464403430743857899379592', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13132231900818180189857076594', 'prec': 107}, 'szpiro_ratio': 3.3768886293495237, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}