Elliptic curve isogeny class data - 102.b

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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, 0, -1, 2, -1, 1, 0, 0, 1, 2, -2, 0, 1, -1, -1, -4, 0], 'aplist': [-1, 1, 0, 2, 0, 2, -1, -4, -6, 0, -10, 8, 6, -4, 12, 6, -12, 8, -4, 6, 2, -10, 12, -18, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 102, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '102.b', 'trace_hash': 1834044102859205000}
• lmfdb_iso 102.b 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: 317
    {'Ciso': '102c', 'Clabel': '102c3', 'Cnumber': 3, 'abc_quality': 1.0866579960559595, 'absD': 11591221248, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 408, 'ainvs': [1, 0, 1, -751, -6046], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 102, 'degree': 72, 'elladic_images': ['8.6.0.4', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.64142632068141965454817785789', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [46753267515625, 11591221248], 'lmfdb_iso': '102.b', 'lmfdb_label': '102.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -751, -6046], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '8.6.0.d.1', '24.48.0-24.bx.1.11', '34.6.0.a.1', '102.48.0.?', '136.12.0.?', '408.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 17], [3, 4, 1], [17, 18, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64142632068141965454817785789', 'prec': 103}, 'szpiro_ratio': 6.805641142839843, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 315
    {'Ciso': '102c', 'Clabel': '102c1', 'Cnumber': 1, 'abc_quality': 1.002934967692302, 'absD': 793152, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 408, 'ainvs': [1, 0, 1, -256, 1550], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 102, 'degree': 24, 'elladic_images': ['8.6.0.4', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.092120176347364808850555239430', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1845026709625, 793152], 'lmfdb_iso': '102.b', 'lmfdb_label': '102.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -256, 1550], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '8.6.0.d.1', '24.48.0-24.bx.1.15', '34.6.0.a.1', '102.48.0.?', '136.12.0.?', '408.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 17], [3, 4, 17], [17, 18, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.092120176347364808850555239430', 'prec': 107}, 'szpiro_ratio': 6.1067418145581644, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
  • id: 316
    {'Ciso': '102c', 'Clabel': '102c2', 'Cnumber': 2, 'abc_quality': 1.0188378451820035, 'absD': 1228691592, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 408, 'ainvs': [1, 0, 1, -216, 2062], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 102, 'degree': 48, 'elladic_images': ['8.6.0.5', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.43869376662733746355917130016', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-1107111813625, 1228691592], 'lmfdb_iso': '102.b', 'lmfdb_label': '102.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -216, 2062], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '8.6.0.a.1', '24.48.0-24.p.1.15', '68.6.0.c.1', '136.12.0.?', '204.48.0.?', '408.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 17], [17, 18, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43869376662733746355917130016', 'prec': 103}, 'szpiro_ratio': 6.227840566657582, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
  • id: 318
    {'Ciso': '102c', 'Clabel': '102c4', 'Cnumber': 4, 'abc_quality': 1.053583581360511, 'absD': 1001033261568, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 408, 'ainvs': [1, 0, 1, 1809, -37790], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 102, 'degree': 144, 'elladic_images': ['8.6.0.5', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98799991096139230925679391862', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [655215969476375, 1001033261568], 'lmfdb_iso': '102.b', 'lmfdb_label': '102.b4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1809, -37790], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '8.6.0.a.1', '24.48.0-24.p.1.13', '68.6.0.c.1', '136.12.0.?', '204.48.0.?', '408.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 1], [17, 18, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.98799991096139230925679391862', 'prec': 103}, 'szpiro_ratio': 7.4834378307728855, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}