Elliptic curve isogeny class data - 98736.bl

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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, 0, 0, 2, 0, 1, 0, 0, 0, 4, 0, 0, 0, 1, 0, 8, 0], 'aplist': [0, -1, 0, 2, 0, 4, 1, 8, -6, -6, 4, 2, 6, -4, -6, -12, 0, 4, 4, -6, -2, -10, 12, 18, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 98736, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '98736.bl', 'trace_hash': 507861087694051724}
• lmfdb_iso 98736.bl 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: 649604
    {'Ciso': '98736cg', 'Clabel': '98736cg3', 'Cnumber': 3, 'abc_quality': 1.1764898982289331, 'absD': 5918661243597056114688, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 264, 'ainvs': [0, -1, 0, -32127083688, -2216424652946832], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 98736, 'degree': 99532800, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3330397016182048782580330205', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [505384091400037554067434625, 815656731648], 'lmfdb_iso': '98736.bl', 'lmfdb_label': '98736.bl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -16594568, -26020768704], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '12.24.0-6.a.1.10', '24.48.0-24.bx.1.12', '66.24.0.b.1', '132.48.0.?', '264.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 363], [3, 4, 1936], [11, 72, 816], [17, 18, 5808]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4409448846590742968098291101', 'prec': 100}, 'szpiro_ratio': 7.320956407348335, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 649605
    {'Ciso': '98736cg', 'Clabel': '98736cg4', 'Cnumber': 4, 'abc_quality': 1.103954672669075, 'absD': 147326534597291929857814560768, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 264, 'ainvs': [0, -1, 0, -32126773928, -2216469530480016], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 98736, 'degree': 199065600, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.6796132918981775329666490812', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-505369473241574671219626625, 20303219722982711328], 'lmfdb_iso': '98736.bl', 'lmfdb_label': '98736.bl2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -16594408, -26021295520], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '12.24.0-6.a.1.2', '24.48.0-24.p.1.16', '132.48.0.?', '264.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 1936], [11, 72, 816], [17, 18, 5808]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.7875184749390469515184451708', 'prec': 100}, 'szpiro_ratio': 7.32095992856621, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 649602
    {'Ciso': '98736cg', 'Clabel': '98736cg1', 'Cnumber': 1, 'abc_quality': 1.0219861987163863, 'absD': 80919947293839909602721792, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 264, 'ainvs': [0, -1, 0, -397747368, -3022263827856], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 98736, 'degree': 33177600, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7837335572841500325604104020', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [959024269496848362625, 11151660319506432], 'lmfdb_iso': '98736.bl', 'lmfdb_label': '98736.bl3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -205448, -35497920], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '12.24.0-6.a.1.4', '24.48.0-24.bx.1.16', '66.24.0.b.1', '132.48.0.?', '264.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 363], [3, 4, 32912], [11, 72, 816], [17, 18, 5808]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8916387403250194511122064916', 'prec': 100}, 'szpiro_ratio': 6.175332220001542, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 649603
    {'Ciso': '98736cg', 'Clabel': '98736cg2', 'Cnumber': 2, 'abc_quality': 1.0762120398825734, 'absD': 25647516545554549446795067392, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 264, 'ainvs': [0, -1, 0, -80553128, -7710140939664], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 98736, 'degree': 66355200, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1303071475641226872690264627', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-7966267523043306625, 3534510366354604032], 'lmfdb_iso': '98736.bl', 'lmfdb_label': '98736.bl4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -41608, -90515392], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '12.24.0-6.a.1.8', '24.48.0-24.p.1.14', '132.48.0.?', '264.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 32912], [11, 72, 816], [17, 18, 5808]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2382123306049921058208225523', 'prec': 100}, 'szpiro_ratio': 6.336432115749821, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}