Elliptic curve isogeny class data - 286650.ho

Formats: - HTML - YAML - JSON - 2025-04-16T05:47:42.024979

• 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, 0, 1, 0, 0, 0, -1, 0, 0, 4, 0, 1, 0, 0, 1, 2, 0, -4, 0], 'aplist': [-1, 0, 0, 0, 4, 1, 2, -4, 4, 6, -4, 2, -2, 4, -8, 6, -12, 10, 0, 8, 14, 0, 4, 6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 286650, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '286650.ho', 'trace_hash': 856683735598322591}
• lmfdb_iso 286650.ho 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: 1809118
    {'Ciso': '286650ho', 'Clabel': '286650ho3', 'Cnumber': 3, 'abc_quality': 0.9626897298752, 'absD': 56263473240079218750, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, -1, 0, -86474817, 309537043591], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 286650, 'degree': 28311552, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0963203506399816442560843925', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 196, 'isogeny_degrees': [1, 2, 4], 'jinv': [53365044437418169, 41984670], 'lmfdb_iso': '286650.ho', 'lmfdb_label': '286650.ho1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -7843, 264103], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '120.12.0.?', '140.12.0.?', '168.12.0.?', '312.12.0.?', '520.12.0.?', '728.12.0.?', '840.24.0.?', '1560.24.0.?', '2184.24.0.?', '3640.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 11025], [3, 8, 31850], [5, 18, 11466], [7, 32, 5850], [13, 14, 22050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.76934017556121995870540573570', 'prec': 103}, 'szpiro_ratio': 5.287251574527027, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1809119
    {'Ciso': '286650ho', 'Clabel': '286650ho4', 'Cnumber': 4, 'abc_quality': 0.9437174381880754, 'absD': 81348300776966845781250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, -1, 0, -12607317, -10416173909], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 286650, 'degree': 28311552, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0963203506399816442560843925', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 196, 'isogeny_degrees': [1, 2, 4], 'jinv': [165369706597369, 60703354530], 'lmfdb_iso': '286650.ho', 'lmfdb_label': '286650.ho2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1143, -9477], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '120.12.0.?', '168.12.0.?', '280.12.0.?', '312.12.0.?', '520.12.0.?', '728.12.0.?', '840.24.0.?', '1560.24.0.?', '2184.24.0.?', '3640.24.0.?', '5460.12.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 143325], [3, 8, 31850], [5, 18, 11466], [7, 32, 5850], [13, 14, 22050]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.76934017556121995870540573570', 'prec': 103}, 'szpiro_ratio': 4.827541271011776, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1809117
    {'Ciso': '286650ho', 'Clabel': '286650ho2', 'Cnumber': 2, 'abc_quality': 0.9137772472489275, 'absD': 489392341200689062500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, -1, 0, -5441067, 4769109841], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 286650, 'degree': 14155776, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7497467603600089895474683318', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 196, 'isogeny_degrees': [1, 2], 'jinv': [13293525831769, 365192100], 'lmfdb_iso': '286650.ho', 'lmfdb_label': '286650.ho3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -493, 3913], 'min_quad_twist_disc': 105, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '120.12.0.?', '140.12.0.?', '156.12.0.?', '168.12.0.?', '520.12.0.?', '728.12.0.?', '840.24.0.?', '1560.24.0.?', '2184.24.0.?', '3640.24.0.?', '5460.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 11025], [3, 8, 31850], [5, 18, 11466], [7, 32, 5850], [13, 14, 22050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.42276658528124730399678967500', 'prec': 103}, 'szpiro_ratio': 4.626928266232132, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1809116
    {'Ciso': '286650ho', 'Clabel': '286650ho1', 'Cnumber': 1, 'abc_quality': 0.9401756067094464, 'absD': 25609227692343750000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, -1, 0, 71433, 243347341], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 286650, 'degree': 7077888, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4031731700800363348388522711', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 196, 'isogeny_degrees': [1, 2, 4], 'jinv': [30080231, 19110000], 'lmfdb_iso': '286650.ho', 'lmfdb_label': '286650.ho4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 7, 213], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '78.6.0.?', '120.12.0.?', '140.12.0.?', '156.12.0.?', '168.12.0.?', '520.12.0.?', '728.12.0.?', '840.24.0.?', '1560.24.0.?', '2184.24.0.?', '3640.24.0.?', '5460.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 143325], [3, 8, 31850], [5, 18, 11466], [7, 32, 5850], [13, 14, 22050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.076192995001274649288173614304', 'prec': 107}, 'szpiro_ratio': 4.1495481065906175, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}