Elliptic curve isogeny class data - 9702.o

Formats: - HTML - YAML - JSON - 2025-11-07T23:09:39.402717

• 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, 1, 0, 5, 0, 0, 1, -6, 0, 2, 0], 'aplist': [-1, 0, 0, 0, 1, 5, -6, 2, -6, -3, 8, 2, 6, -4, -6, 12, 3, -7, -13, 12, -10, -1, -6, -6, -13], 'class_deg': 3, 'class_size': 2, 'conductor': 9702, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '9702.o', 'trace_hash': 1832835397793656559}
• ec_padic •

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

  
  
  • id: 407314
    {'lmfdb_iso': '9702.o', 'p': 13, 'prec': 20, 'unit': 847960979115201986834, 'val': 1}
  • id: 407316
    {'lmfdb_iso': '9702.o', 'p': 17, 'prec': 20, 'unit': 18944548839415888753685, 'val': 1}
  • id: 407317
    {'lmfdb_iso': '9702.o', 'p': 19, 'prec': 20, 'unit': 1792169391518431771917010, 'val': 1}
  • id: 407321
    {'lmfdb_iso': '9702.o', 'p': 23, 'prec': 20, 'unit': 54720074593241909098504244, 'val': 1}
  • id: 407313
    {'lmfdb_iso': '9702.o', 'p': 29, 'prec': 20, 'unit': 3222463880111746191286390041, 'val': 1}
  • id: 407325
    {'lmfdb_iso': '9702.o', 'p': 31, 'prec': 20, 'unit': 17680310007907149091110843069, 'val': 1}
  • id: 407309
    {'lmfdb_iso': '9702.o', 'p': 37, 'prec': 20, 'unit': 105903266675048535469993319907, 'val': 1}
  • id: 407311
    {'lmfdb_iso': '9702.o', 'p': 41, 'prec': 20, 'unit': 1512019305336610068464670654805, 'val': 1}
  • id: 407312
    {'lmfdb_iso': '9702.o', 'p': 43, 'prec': 20, 'unit': 8600128845477946718311311923631, 'val': 1}
  • id: 407323
    {'lmfdb_iso': '9702.o', 'p': 47, 'prec': 20, 'unit': 43645847792955665547899853486776, 'val': 1}
  • id: 407318
    {'lmfdb_iso': '9702.o', 'p': 53, 'prec': 20, 'unit': 381861116329244575471543622375812, 'val': 1}
  • id: 407319
    {'lmfdb_iso': '9702.o', 'p': 59, 'prec': 20, 'unit': 3464588925133709569782782860054705, 'val': 1}
  • id: 407324
    {'lmfdb_iso': '9702.o', 'p': 61, 'prec': 20, 'unit': 4019300582444164250915228279329442, 'val': 1}
  • id: 407308
    {'lmfdb_iso': '9702.o', 'p': 67, 'prec': 20, 'unit': 15507152954615280387318656051985218, 'val': 1}
  • id: 407310
    {'lmfdb_iso': '9702.o', 'p': 71, 'prec': 20, 'unit': 16708637300596124828615715599012450, 'val': 1}
  • id: 407320
    {'lmfdb_iso': '9702.o', 'p': 73, 'prec': 20, 'unit': 20879531367840713329144272729864875, 'val': 1}
  • id: 407315
    {'lmfdb_iso': '9702.o', 'p': 79, 'prec': 20, 'unit': 467239474057971956764312963523185817, 'val': 1}
  • id: 407307
    {'lmfdb_iso': '9702.o', 'p': 83, 'prec': 20, 'unit': 564991871047523156785473561751498237, 'val': 1}
  • id: 407322
    {'lmfdb_iso': '9702.o', 'p': 89, 'prec': 20, 'unit': 1536837146670988481224619256963509903, 'val': 1}
  • id: 407306
    {'lmfdb_iso': '9702.o', 'p': 97, 'prec': 20, 'unit': 31210859714006462869960976783071604417, '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: 62657
    {'Ciso': '9702m', 'Clabel': '9702m2', 'Cnumber': 2, 'abc_quality': 1.0036446488871962, 'absD': 178994580655968, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 264, 'ainvs': [1, -1, 0, -2504007, 1525736925], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 9702, 'degree': 151200, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1645645757281003562002034748', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 14, 'isogeny_degrees': [1, 3], 'jinv': [413160293352625, 42592], 'lmfdb_iso': '9702.o', 'lmfdb_label': '9702.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5678, 162315], 'min_quad_twist_disc': 21, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '88.2.0.?', '264.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.6707007709905867591651837729', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4851], [3, 6, 98], [5, 2, 4851], [7, 26, 198], [11, 12, 882]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.31798499869050330709901236071', 'prec': 103}, 'szpiro_ratio': 6.079878075060122, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
  • id: 62656
    {'Ciso': '9702m', 'Clabel': '9702m1', 'Cnumber': 1, 'abc_quality': 0.9291102595564523, 'absD': 1514797112328192, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 264, 'ainvs': [1, -1, 0, -34407, 1598589], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 9702, 'degree': 50400, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6152584313940455105025808563', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 3], 'jinv': [1071912625, 360448], 'lmfdb_iso': '9702.o', 'lmfdb_label': '9702.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -78, 139], 'min_quad_twist_disc': 21, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '88.2.0.?', '264.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5569002569968622530550612576', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4851], [3, 2, 539], [5, 2, 4851], [7, 26, 198], [11, 12, 882]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23132114564355153859861025779', 'prec': 107}, 'szpiro_ratio': 4.678786135227854, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}