Elliptic curve isogeny class data - 84474.ba

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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, 3, 0, -1, -1, 0, -3, -6, 0, -1, 1, 0, 1, 3, 0, 0, 3], 'aplist': [-1, 0, 3, -1, -6, -1, 3, 0, 0, 6, 4, 7, 0, -1, -3, 0, -6, 8, -14, -3, 2, -8, -12, -6, 10], 'class_deg': 9, 'class_size': 3, 'conductor': 84474, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '84474.ba', 'trace_hash': 504244868013828733}
• ec_padic •

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

  
  
  • id: 4356328
    {'lmfdb_iso': '84474.ba', 'p': 5, 'prec': 20, 'unit': 10728909557549, 'val': 1}
  • id: 4356329
    {'lmfdb_iso': '84474.ba', 'p': 7, 'prec': 20, 'unit': 1062191490290697, 'val': 2}
  • id: 4356327
    {'lmfdb_iso': '84474.ba', 'p': 11, 'prec': 20, 'unit': 6884440841905274938, 'val': 1}
  • id: 4356335
    {'lmfdb_iso': '84474.ba', 'p': 17, 'prec': 20, 'unit': 197256484323571825332514, 'val': 1}
  • id: 4356333
    {'lmfdb_iso': '84474.ba', 'p': 29, 'prec': 20, 'unit': 4038391391768969974134105109, 'val': 1}
  • id: 4356330
    {'lmfdb_iso': '84474.ba', 'p': 31, 'prec': 20, 'unit': 14517025415964449330698571985, 'val': 1}
  • id: 4356342
    {'lmfdb_iso': '84474.ba', 'p': 37, 'prec': 20, 'unit': 57664444419489944918707003284, 'val': 1}
  • id: 4356332
    {'lmfdb_iso': '84474.ba', 'p': 43, 'prec': 20, 'unit': 7257242340620918748337543894065, 'val': 1}
  • id: 4356340
    {'lmfdb_iso': '84474.ba', 'p': 47, 'prec': 20, 'unit': 808534630396102699828718909335, 'val': 2}
  • id: 4356337
    {'lmfdb_iso': '84474.ba', 'p': 59, 'prec': 20, 'unit': 2537083978322143997264385570776993, 'val': 1}
  • id: 4356341
    {'lmfdb_iso': '84474.ba', 'p': 61, 'prec': 20, 'unit': 5347964162118640058590773399899999, 'val': 1}
  • id: 4356326
    {'lmfdb_iso': '84474.ba', 'p': 67, 'prec': 20, 'unit': 33583348924792800216384656416689846, 'val': 1}
  • id: 4356339
    {'lmfdb_iso': '84474.ba', 'p': 71, 'prec': 20, 'unit': 134076213222927277777522838367189957, 'val': 1}
  • id: 4356331
    {'lmfdb_iso': '84474.ba', 'p': 73, 'prec': 20, 'unit': 4335158044147230716386509386988859, 'val': 1}
  • id: 4356334
    {'lmfdb_iso': '84474.ba', 'p': 79, 'prec': 20, 'unit': 1025801264390412685390482787368927423, 'val': 1}
  • id: 4356336
    {'lmfdb_iso': '84474.ba', 'p': 83, 'prec': 20, 'unit': 1981914260984010178829923328209938655, 'val': 1}
  • id: 4356338
    {'lmfdb_iso': '84474.ba', 'p': 89, 'prec': 20, 'unit': 10055279615875546904976429546125657633, 'val': 1}
  • id: 4356325
    {'lmfdb_iso': '84474.ba', 'p': 97, 'prec': 20, 'unit': 1080225281785788092499366986102090861, '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: 556257
    {'Ciso': '84474q', 'Clabel': '84474q3', 'Cnumber': 3, 'abc_quality': 1.0219339430875438, 'absD': 228277152889344, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 17784, 'ainvs': [1, -1, 0, -1492983, -701778083], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 84474, 'degree': 1283040, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0759120600506517314753468451', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 26, 'isogeny_degrees': [1, 3, 9], 'jinv': [-10730978619193, 6656], 'lmfdb_iso': '84474.ba', 'lmfdb_label': '84474.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -460, -3830], 'min_quad_twist_disc': 57, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '57.8.0-3.a.1.1', '104.2.0.?', '117.36.0.?', '171.24.0.?', '312.8.0.?', '936.72.3.?', '2223.72.0.?', '5928.16.0.?', '17784.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '39.025726436476534553959816815', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.054386426133376655773210510694', 'prec': 107}, 'szpiro_ratio': 4.783278590120968, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 556256
    {'Ciso': '84474q', 'Clabel': '84474q2', 'Cnumber': 2, 'abc_quality': 0.947172997962475, 'absD': 602794356848424, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 17784, 'ainvs': [1, -1, 0, -14688, -1361912], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 84474, 'degree': 427680, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5266059157165968857777242266', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 26, 'isogeny_degrees': [1, 3], 'jinv': [-10218313, 17576], 'lmfdb_iso': '84474.ba', 'lmfdb_label': '84474.ba2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5, -8], 'min_quad_twist_disc': 57, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '57.24.0-3.a.1.1', '104.2.0.?', '117.36.0.?', '312.24.1.?', '936.72.3.?', '2223.72.0.?', '5928.48.1.?', '17784.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.008575478825511517986605605', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49491971820067818992441210781', 'prec': 107}, 'szpiro_ratio': 3.682704330191991, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 556255
    {'Ciso': '84474q', 'Clabel': '84474q1', 'Cnumber': 1, 'abc_quality': 0.8441470072585473, 'absD': 891707628474, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 17784, 'ainvs': [1, -1, 0, 1557, 38407], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 84474, 'degree': 142560, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.97729977138254204008010160817', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 3, 9], 'jinv': [12167, 26], 'lmfdb_iso': '84474.ba', 'lmfdb_label': '84474.ba3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 0, 0], 'min_quad_twist_disc': 57, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '57.8.0-3.a.1.2', '104.2.0.?', '117.36.0.?', '171.24.0.?', '312.8.0.?', '936.72.3.?', '2223.72.0.?', '5928.16.0.?', '17784.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3361918262751705059955352017', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0442258625347330356220347262', 'prec': 103}, 'szpiro_ratio': 3.05489188301635, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}