Elliptic curve isogeny class data - 87120.h

Formats: - HTML - YAML - JSON - 2025-10-19T20:42:25.388074

• 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, 0, 0, -1, 0, -4, 0, 0, 0, 0, 0, 6, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -1, -4, 0, 6, -2, -4, -8, 6, 0, -2, 2, -8, 0, 2, 4, 10, -12, -16, -6, 8, 16, -10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 87120, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '87120.h', 'trace_hash': 1909239283046232353}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 4503401
    {'lmfdb_iso': '87120.h', 'p': 7, 'prec': 20, 'unit': 4282985873048829, 'val': 1}
  • id: 4503405
    {'lmfdb_iso': '87120.h', 'p': 13, 'prec': 20, 'unit': 327073031838184579543, 'val': 1}
  • id: 4503407
    {'lmfdb_iso': '87120.h', 'p': 17, 'prec': 20, 'unit': 165111986387850910667367, 'val': 1}
  • id: 4503397
    {'lmfdb_iso': '87120.h', 'p': 19, 'prec': 20, 'unit': 109657483144220214309073, 'val': 1}
  • id: 4503411
    {'lmfdb_iso': '87120.h', 'p': 23, 'prec': 20, 'unit': 60275152624647568680594591, 'val': 1}
  • id: 4503404
    {'lmfdb_iso': '87120.h', 'p': 29, 'prec': 20, 'unit': 928064896861158040822428419, 'val': 1}
  • id: 4503400
    {'lmfdb_iso': '87120.h', 'p': 37, 'prec': 20, 'unit': 6280176411203103633574591014, 'val': 2}
  • id: 4503402
    {'lmfdb_iso': '87120.h', 'p': 41, 'prec': 20, 'unit': 2821756749560354251116725901618, 'val': 1}
  • id: 4503403
    {'lmfdb_iso': '87120.h', 'p': 43, 'prec': 20, 'unit': 9826553644033337724146250823739, 'val': 1}
  • id: 4503409
    {'lmfdb_iso': '87120.h', 'p': 53, 'prec': 20, 'unit': 437664293993437122595955699822157, 'val': 1}
  • id: 4503414
    {'lmfdb_iso': '87120.h', 'p': 59, 'prec': 20, 'unit': 46082387712271762880961270592472, 'val': 1}
  • id: 4503415
    {'lmfdb_iso': '87120.h', 'p': 61, 'prec': 20, 'unit': 2228037565085595044589725052795432, 'val': 1}
  • id: 4503399
    {'lmfdb_iso': '87120.h', 'p': 67, 'prec': 20, 'unit': 29356796211212434597759146060948268, 'val': 1}
  • id: 4503413
    {'lmfdb_iso': '87120.h', 'p': 71, 'prec': 20, 'unit': 103275920494073895372838453041470704, 'val': 1}
  • id: 4503410
    {'lmfdb_iso': '87120.h', 'p': 73, 'prec': 20, 'unit': 102233016372149451379323502044081818, 'val': 1}
  • id: 4503406
    {'lmfdb_iso': '87120.h', 'p': 79, 'prec': 20, 'unit': 548780425332947432858740559360299387, 'val': 1}
  • id: 4503408
    {'lmfdb_iso': '87120.h', 'p': 83, 'prec': 20, 'unit': 144582058958743140377302085814250706, 'val': 1}
  • id: 4503412
    {'lmfdb_iso': '87120.h', 'p': 89, 'prec': 20, 'unit': 2831728901784409799135299090416490604, 'val': 1}
  • id: 4503398
    {'lmfdb_iso': '87120.h', 'p': 97, 'prec': 20, 'unit': 51346480867978792892874203483634480653, 'val': 1}
• 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: 573839
    {'Ciso': '87120bn', 'Clabel': '87120bn4', 'Cnumber': 4, 'abc_quality': 1.07876989573691, 'absD': 78275593569507345792000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -34325643, 76226878442], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87120, 'degree': 11796480, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1894321979241913448584096116', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [3382175663521924, 59189241375], 'lmfdb_iso': '87120.h', 'lmfdb_label': '87120.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -31520, -2131632], 'min_quad_twist_disc': -132, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '40.12.0.z.1', '88.12.0.?', '120.24.0.?', '220.12.0.?', '264.24.0.?', '440.24.0.?', '660.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1655745988357855324105344586', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 5445], [3, 8, 1936], [5, 6, 17424], [11, 72, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86355576672433013594878843628', 'prec': 103}, 'szpiro_ratio': 5.5971498053255, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 573837
    {'Ciso': '87120bn', 'Clabel': '87120bn2', 'Cnumber': 2, 'abc_quality': 1.0840443130940778, 'absD': 4101087530790756000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 660, 'ainvs': [0, 0, 0, -4378143, -1714485058], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87120, 'degree': 5898240, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8428586076442186901497935509', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [28071778927696, 12404390625], 'lmfdb_iso': '87120.h', 'lmfdb_label': '87120.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -4020, 46368], 'min_quad_twist_disc': -132, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '20.12.0.b.1', '44.12.0.b.1', '60.24.0-20.b.1.3', '132.24.0.?', '220.24.0.?', '660.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.331149197671571064821068917', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 1936], [5, 6, 17424], [11, 72, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.63250670653768169947637772915', 'prec': 103}, 'szpiro_ratio': 5.054048144818687, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 573836
    {'Ciso': '87120bn', 'Clabel': '87120bn1', 'Cnumber': 1, 'abc_quality': 1.007096649724964, 'absD': 3063157970528898000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -3719298, -2759544997], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87120, 'degree': 2949120, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4962850173642460354411774901', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [275361373935616, 148240125], 'lmfdb_iso': '87120.h', 'lmfdb_label': '87120.h3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3415, 75650], 'min_quad_twist_disc': -132, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '10.6.0.a.1', '20.12.0.g.1', '24.12.0-4.c.1.3', '88.12.0.?', '120.24.0.?', '132.12.0.?', '264.24.0.?', '440.24.0.?', '660.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '20.662298395343142129642137834', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 5445], [3, 8, 1936], [5, 6, 17424], [11, 72, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51698217644435748124017237551', 'prec': 103}, 'szpiro_ratio': 5.011035629025055, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 573838
    {'Ciso': '87120bn', 'Clabel': '87120bn3', 'Cnumber': 3, 'abc_quality': 1.0113231141124994, 'absD': 287674490094750000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, 0, 0, 15027837, -12772012462], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87120, 'degree': 11796480, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1894321979241913448584096116', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [283811208976796, 217529296875], 'lmfdb_iso': '87120.h', 'lmfdb_label': '87120.h4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 13800, 360000], 'min_quad_twist_disc': -132, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '22.6.0.a.1', '40.12.0.z.1', '44.12.0.g.1', '120.24.0.?', '132.24.0.?', '440.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1655745988357855324105344586', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 1936], [5, 6, 17424], [11, 72, 720]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86355576672433013594878843628', 'prec': 103}, 'szpiro_ratio': 5.379307509741281, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}