Elliptic curve isogeny class data - 88725.cf

Formats: - HTML - YAML - JSON - 2025-10-30T09:01:30.267634

• 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, -1, -3, 1, 0, 0, -1, 0, -1, 0, -1, -2, 1, 4, 0], 'aplist': [1, 1, 0, -1, 0, 0, -2, 4, 0, 6, -8, 2, 10, -8, 12, 6, -4, 6, 12, -12, -6, -8, 8, 10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 88725, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '88725.cf', 'trace_hash': 698706367881851556}
• lmfdb_iso 88725.cf 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: 584695
    {'Ciso': '88725bm', 'Clabel': '88725bm4', 'Cnumber': 4, 'abc_quality': 0.9735305925746595, 'absD': 357521318398740234375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, 0, 1, -71290626, 231676651273], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 88725, 'degree': 7741440, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1096078181329260043131982241', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 57, 'isogeny_degrees': [1, 2, 4], 'jinv': [531301262949272089, 4740474375], 'lmfdb_iso': '88725.cf', 'lmfdb_label': '88725.cf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -16873, 836602], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '156.12.0.?', '168.12.0.?', '728.12.0.?', '780.24.0.?', '840.24.0.?', '2184.24.0.?', '3640.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 12675], [3, 4, 29575], [5, 18, 1183], [7, 8, 12675], [13, 98, 525]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0224141831851074489860748367', 'prec': 100}, 'szpiro_ratio': 5.780629553921954, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 584693
    {'Ciso': '88725bm', 'Clabel': '88725bm2', 'Cnumber': 2, 'abc_quality': 0.9312987645826678, 'absD': 921967220262547265625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5460, 'ainvs': [1, 0, 1, -4556751, 3446798773], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 88725, 'degree': 3870720, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7630342278529533496045821633', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 57, 'isogeny_degrees': [1, 2], 'jinv': [138742439989609, 12224619225], 'lmfdb_iso': '88725.cf', 'lmfdb_label': '88725.cf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1078, 12103], 'min_quad_twist_disc': 65, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '84.12.0.?', '156.12.0.?', '364.12.0.?', '420.24.0.?', '780.24.0.?', '1092.24.0.?', '1820.24.0.?', '5460.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 4225], [3, 4, 29575], [5, 18, 1183], [7, 8, 12675], [13, 98, 525]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.67584059290513479427745877590', 'prec': 103}, 'szpiro_ratio': 5.056478744789989, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 584692
    {'Ciso': '88725bm', 'Clabel': '88725bm1', 'Cnumber': 1, 'abc_quality': 0.9010228496837062, 'absD': 18320101143371015625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, 0, 1, -986626, -316112977], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 88725, 'degree': 1935360, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4164606375729806948959661026', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 57, 'isogeny_degrees': [1, 2, 4], 'jinv': [1408317602329, 242911305], 'lmfdb_iso': '88725.cf', 'lmfdb_label': '88725.cf3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -233, -1248], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0-4.c.1.5', '168.12.0.?', '210.6.0.?', '312.12.0.?', '364.12.0.?', '420.12.0.?', '780.12.0.?', '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': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 4, 29575], [5, 18, 1183], [7, 8, 12675], [13, 98, 525]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.32926700262516213956884271520', 'prec': 103}, 'szpiro_ratio': 4.6535906719604085, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 584694
    {'Ciso': '88725bm', 'Clabel': '88725bm3', 'Cnumber': 3, 'abc_quality': 0.9710184073087608, 'absD': 119651082174248688984375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, 0, 1, 5055124, 16057578773], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 88725, 'degree': 7741440, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1096078181329260043131982241', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 57, 'isogeny_degrees': [1, 2, 4], 'jinv': [189425802193991, 1586486902455], 'lmfdb_iso': '88725.cf', 'lmfdb_label': '88725.cf4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 1197, 58968], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '168.12.0.?', '312.12.0.?', '364.12.0.?', '840.24.0.?', '910.6.0.?', '1560.24.0.?', '1820.24.0.?', '2184.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 29575], [3, 4, 29575], [5, 18, 1183], [7, 8, 12675], [13, 98, 525]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0224141831851074489860748367', 'prec': 100}, 'szpiro_ratio': 5.3120696084021475, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}