Elliptic curve isogeny class data - 4761.b

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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, 0, -1, 0, 0, 2, 3, 0, 0, 4, 0, -6, -2, 0, -1, 4, 0, -2, 0], 'aplist': [-1, 0, 0, 2, 4, -6, 4, -2, 0, -2, 4, -2, -2, -10, 0, -12, 12, 6, 10, -8, -14, -10, 12, -16, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 4761, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4761.b', 'trace_hash': 1097360340666517941}
• ec_padic •

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

  
  
  • id: 173092
    {'lmfdb_iso': '4761.b', 'p': 7, 'prec': 20, 'unit': 1282395745736734, 'val': 2}
  • id: 173098
    {'lmfdb_iso': '4761.b', 'p': 11, 'prec': 20, 'unit': 49990385904684586088, 'val': 1}
  • id: 173096
    {'lmfdb_iso': '4761.b', 'p': 13, 'prec': 20, 'unit': 1092332342025378970565, 'val': 1}
  • id: 173099
    {'lmfdb_iso': '4761.b', 'p': 17, 'prec': 20, 'unit': 61069187837225152298285, 'val': 1}
  • id: 173100
    {'lmfdb_iso': '4761.b', 'p': 19, 'prec': 20, 'unit': 1705432193834840748326377, 'val': 1}
  • id: 173095
    {'lmfdb_iso': '4761.b', 'p': 29, 'prec': 20, 'unit': 4610944476639270612919973599, 'val': 1}
  • id: 173107
    {'lmfdb_iso': '4761.b', 'p': 31, 'prec': 20, 'unit': 3388960681815284184700499384, 'val': 1}
  • id: 173091
    {'lmfdb_iso': '4761.b', 'p': 37, 'prec': 20, 'unit': 297651597081820453280162466123, 'val': 1}
  • id: 173093
    {'lmfdb_iso': '4761.b', 'p': 41, 'prec': 20, 'unit': 357527235158218888848350662219, 'val': 1}
  • id: 173094
    {'lmfdb_iso': '4761.b', 'p': 43, 'prec': 20, 'unit': 3764780571239242713775687797700, 'val': 1}
  • id: 173101
    {'lmfdb_iso': '4761.b', 'p': 53, 'prec': 20, 'unit': 241960533856004790075931902905890, 'val': 1}
  • id: 173105
    {'lmfdb_iso': '4761.b', 'p': 59, 'prec': 20, 'unit': 3638839015405681804990747253309701, 'val': 1}
  • id: 173106
    {'lmfdb_iso': '4761.b', 'p': 61, 'prec': 20, 'unit': 6648852684780148190958163562866006, 'val': 1}
  • id: 173090
    {'lmfdb_iso': '4761.b', 'p': 67, 'prec': 20, 'unit': 4007255144031488861939556785158499, 'val': 1}
  • id: 173104
    {'lmfdb_iso': '4761.b', 'p': 71, 'prec': 20, 'unit': 95023391341258991622103302716817373, 'val': 1}
  • id: 173102
    {'lmfdb_iso': '4761.b', 'p': 73, 'prec': 20, 'unit': 215561155733389058575711354303383361, 'val': 1}
  • id: 173097
    {'lmfdb_iso': '4761.b', 'p': 79, 'prec': 20, 'unit': 1126779357538617990208092628569815476, 'val': 1}
  • id: 173089
    {'lmfdb_iso': '4761.b', 'p': 83, 'prec': 20, 'unit': 2869522038642660555150330879922375367, 'val': 1}
  • id: 173103
    {'lmfdb_iso': '4761.b', 'p': 89, 'prec': 20, 'unit': 7343161666618896963339574685749638839, 'val': 1}
  • id: 173088
    {'lmfdb_iso': '4761.b', 'p': 97, 'prec': 20, 'unit': 2117521534439891297897727478260600830, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 29308
    {'Ciso': '4761c', 'Clabel': '4761c2', 'Cnumber': 2, 'abc_quality': 0.9246304097924353, 'absD': 171266124809547, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 276, 'ainvs': [1, -1, 1, -73895, -7687420], 'analytic_rank': 1, 'bad_primes': [3, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4761, 'degree': 16896, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5896597040269605971799845787', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [413493625, 1587], 'lmfdb_iso': '4761.b', 'lmfdb_label': '4761.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -16, -25], 'min_quad_twist_disc': 69, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '92.6.0.?', '276.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2395209874564174833409155251', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52739354827166909392101445567', 'prec': 107}, 'szpiro_ratio': 5.3428972126228835, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 29307
    {'Ciso': '4761c', 'Clabel': '4761c1', 'Cnumber': 1, 'abc_quality': 0.9906117492663808, 'absD': 22339059757767, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 276, 'ainvs': [1, -1, 1, -2480, -231694], 'analytic_rank': 1, 'bad_primes': [3, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4761, 'degree': 8448, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2430861137469879424713685179', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [-15625, 207], 'lmfdb_iso': '4761.b', 'lmfdb_label': '4761.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, -1], 'min_quad_twist_disc': 69, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '46.6.0.a.1', '276.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.4790419749128349666818310503', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87396713855164174862963051647', 'prec': 107}, 'szpiro_ratio': 4.5151005181863715, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}