Elliptic curve isogeny class data - 10230.bf

Formats: - HTML - YAML - JSON - 2026-07-14T09:15:19.665861

• 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, 1, 1, -2, 1, 1, 1, 1, 1, -6, -2, 1, 1, 8, 1, 0, 1], 'aplist': [1, 1, 1, -2, 1, -6, 8, 0, 4, -10, 1, -2, 12, 4, 8, -6, 0, 12, 8, -8, 14, 10, -6, -10, -2], 'class_deg': 10, 'class_size': 4, 'conductor': 10230, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '10230.bf', 'trace_hash': 1628854454134330619}
• lmfdb_iso 10230.bf 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 66280
    {'Ciso': '10230bg', 'Clabel': '10230bg3', 'Cnumber': 3, 'abc_quality': 1.011821271387809, 'absD': 178215946908754500240, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 20460, 'ainvs': [1, 0, 0, -8731875, -9911311503], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 31], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 10230, 'degree': 880000, 'elladic_images': ['2.3.0.1', '5.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7645737500613568020873629818', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'intrinsic_torsion': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [73628549562506871957390001, 178215946908754500240], 'lmfdb_iso': '10230.bf', 'lmfdb_label': '10230.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8731875, -9911311503], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '5B.1.2'], 'modm_images': ['2.3.0.a.1', '5.24.0-5.a.2.2', '10.72.0-10.a.1.2', '44.6.0.c.1', '220.144.1.?', '930.144.1.?', '20460.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 465], [3, 4, 3410], [5, 6, 6], [11, 12, 930], [31, 32, 330]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.7645737500613568020873629818', 'prec': 100}, 'szpiro_ratio': 6.450835040307267, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 66281
    {'Ciso': '10230bg', 'Clabel': '10230bg4', 'Cnumber': 4, 'abc_quality': 1.028999293653901, 'absD': 118801759721890483665900, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 20460, 'ainvs': [1, 0, 0, -5510855, -17315148075], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 31], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 10230, 'degree': 1760000, 'elladic_images': ['2.3.0.1', '5.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1111473403413294567959790425', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'intrinsic_torsion': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-18508902577171306222471921, 118801759721890483665900], 'lmfdb_iso': '10230.bf', 'lmfdb_label': '10230.bf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5510855, -17315148075], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '5B.1.2'], 'modm_images': ['2.3.0.a.1', '5.24.0-5.a.2.2', '10.72.0-10.a.1.2', '22.6.0.a.1', '110.144.1.?', '1860.144.1.?', '20460.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 11], [3, 4, 3410], [5, 6, 6], [11, 12, 930], [31, 32, 330]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.1111473403413294567959790425', 'prec': 100}, 'szpiro_ratio': 6.571240425985704, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 66278
    {'Ciso': '10230bg', 'Clabel': '10230bg1', 'Cnumber': 1, 'abc_quality': 0.9854867048946367, 'absD': 2986780262400000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 20460, 'ainvs': [1, 0, 0, -486675, 130612257], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 31], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 10230, 'degree': 176000, 'elladic_images': ['2.3.0.1', '5.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9598547938443066147869833152', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [12747965531857798561201, 2986780262400000], 'lmfdb_iso': '10230.bf', 'lmfdb_label': '10230.bf3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -486675, 130612257], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '5B.1.1'], 'modm_images': ['2.3.0.a.1', '5.24.0-5.a.1.2', '10.72.0-10.a.2.1', '44.6.0.c.1', '220.144.1.?', '930.144.1.?', '20460.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 465], [3, 4, 3410], [5, 6, 341], [11, 12, 930], [31, 32, 330]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9598547938443066147869833152', 'prec': 100}, 'szpiro_ratio': 5.51274974582867, 'torsion': 10, 'torsion_primes': [2, 5], 'torsion_structure': [10]}
  • id: 66279
    {'Ciso': '10230bg', 'Clabel': '10230bg2', 'Cnumber': 2, 'abc_quality': 0.9920428670213398, 'absD': 6242069790000000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 20460, 'ainvs': [1, 0, 0, -430355, 162005025], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 31], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 10230, 'degree': 352000, 'elladic_images': ['2.3.0.1', '5.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3064283841242792694955993759', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-8814635019030000319921, 6242069790000000000], 'lmfdb_iso': '10230.bf', 'lmfdb_label': '10230.bf4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -430355, 162005025], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '5B.1.1'], 'modm_images': ['2.3.0.a.1', '5.24.0-5.a.1.2', '10.72.0-10.a.2.1', '22.6.0.a.1', '110.144.1.?', '1860.144.1.?', '20460.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 11], [3, 4, 3410], [5, 6, 341], [11, 12, 930], [31, 32, 330]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3064283841242792694955993759', 'prec': 100}, 'szpiro_ratio': 5.559343667940444, 'torsion': 10, 'torsion_primes': [2, 5], 'torsion_structure': [10]}