Elliptic curve isogeny class data - 7742.i

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• 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, -2, 1, 2, -2, 0, 1, 1, 2, -4, -2, -2, 0, -4, 1, 2, 1, 0, 2], 'aplist': [1, -2, 2, 0, -4, -2, 2, 0, 0, 8, -8, 4, 10, -2, 0, -8, -14, 0, 8, 8, -6, -1, -12, -6, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 7742, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '7742.i', 'trace_hash': 268065703040483254}
• ec_padic •

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

  
  
  • id: 315974
    {'lmfdb_iso': '7742.i', 'p': 5, 'prec': 20, 'unit': 5591365573, 'val': 5}
  • id: 315973
    {'lmfdb_iso': '7742.i', 'p': 11, 'prec': 20, 'unit': 34155764844230661644, 'val': 1}
  • id: 315979
    {'lmfdb_iso': '7742.i', 'p': 13, 'prec': 20, 'unit': 636368701943166121011, 'val': 1}
  • id: 315980
    {'lmfdb_iso': '7742.i', 'p': 17, 'prec': 20, 'unit': 210544828472904778032429, 'val': 1}
  • id: 315986
    {'lmfdb_iso': '7742.i', 'p': 29, 'prec': 20, 'unit': 596637224750390639844166776, 'val': 1}
  • id: 315976
    {'lmfdb_iso': '7742.i', 'p': 31, 'prec': 20, 'unit': 4126668730825385779426160160, 'val': 1}
  • id: 315987
    {'lmfdb_iso': '7742.i', 'p': 37, 'prec': 20, 'unit': 283011084314127173498671168934, 'val': 1}
  • id: 315977
    {'lmfdb_iso': '7742.i', 'p': 41, 'prec': 20, 'unit': 1903213296927831043448675369662, 'val': 1}
  • id: 315978
    {'lmfdb_iso': '7742.i', 'p': 43, 'prec': 20, 'unit': 5256878906224256047571493562298, 'val': 1}
  • id: 315982
    {'lmfdb_iso': '7742.i', 'p': 53, 'prec': 20, 'unit': 434663374481194737657918706037043, 'val': 1}
  • id: 315985
    {'lmfdb_iso': '7742.i', 'p': 59, 'prec': 20, 'unit': 77107199567803101986711915716783, 'val': 1}
  • id: 315972
    {'lmfdb_iso': '7742.i', 'p': 67, 'prec': 20, 'unit': 38335112668499574163529604970580572, 'val': 1}
  • id: 315975
    {'lmfdb_iso': '7742.i', 'p': 71, 'prec': 20, 'unit': 136561297471360337317393392669908106, 'val': 1}
  • id: 315983
    {'lmfdb_iso': '7742.i', 'p': 73, 'prec': 20, 'unit': 144768699941492095846516738631595616, 'val': 1}
  • id: 315981
    {'lmfdb_iso': '7742.i', 'p': 83, 'prec': 20, 'unit': 1328634061643553404808844946210560988, 'val': 1}
  • id: 315984
    {'lmfdb_iso': '7742.i', 'p': 89, 'prec': 20, 'unit': 7174289659031482443139159000897004188, 'val': 1}
  • id: 315971
    {'lmfdb_iso': '7742.i', 'p': 97, 'prec': 20, 'unit': 40997185922013218989908526957195687999, '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: 49602
    {'Ciso': '7742m', 'Clabel': '7742m2', 'Cnumber': 2, 'abc_quality': 0.8597299405419038, 'absD': 1468494818, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 632, 'ainvs': [1, 0, 0, -442, -3102], 'analytic_rank': 1, 'bad_primes': [2, 7, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 7742, 'degree': 4608, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.48248927724826959516369046178', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [81182737, 12482], 'lmfdb_iso': '7742.i', 'lmfdb_label': '7742.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -9, 5], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '316.6.0.?', '632.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2833273159655961446249840015', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 49], [7, 26, 158], [79, 80, 98]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49046579727938705738898590994', 'prec': 107}, 'szpiro_ratio': 3.337758298345799, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 49601
    {'Ciso': '7742m', 'Clabel': '7742m1', 'Cnumber': 1, 'abc_quality': 0.8000937907084497, 'absD': 37177084, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 632, 'ainvs': [1, 0, 0, 48, -260], 'analytic_rank': 1, 'bad_primes': [2, 7, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 7742, 'degree': 2304, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.13591568696829694045507440105', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [103823, 316], 'lmfdb_iso': '7742.i', 'lmfdb_label': '7742.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 1, 1], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '158.6.0.?', '632.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5666546319311922892499680029', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3871], [7, 26, 158], [79, 80, 98]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.83703938755935971209760197067', 'prec': 107}, 'szpiro_ratio': 2.755627705791128, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}