Elliptic curve isogeny class data - 1872.d

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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, 0, 0, 0, -2, 0, -2, 0, 0, 0, 4, 0, -1, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, 0, -2, -2, 4, -1, 0, 2, 4, 0, -2, -10, -2, -8, 0, -12, 12, -6, 6, -8, -2, -12, -4, -14, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 1872, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1872.d', 'trace_hash': 2212481615064370741}
• ec_padic •

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

  
  
  • id: 53276
    {'lmfdb_iso': '1872.d', 'p': 5, 'prec': 20, 'unit': 11920327246779, 'val': 1}
  • id: 53277
    {'lmfdb_iso': '1872.d', 'p': 7, 'prec': 20, 'unit': 4237056528471001, 'val': 1}
  • id: 53282
    {'lmfdb_iso': '1872.d', 'p': 11, 'prec': 20, 'unit': 44153233152561450505, 'val': 1}
  • id: 53283
    {'lmfdb_iso': '1872.d', 'p': 19, 'prec': 20, 'unit': 1374259649687768069112604, 'val': 1}
  • id: 53286
    {'lmfdb_iso': '1872.d', 'p': 23, 'prec': 20, 'unit': 44725577096254004973296450, 'val': 1}
  • id: 53278
    {'lmfdb_iso': '1872.d', 'p': 31, 'prec': 20, 'unit': 14099150153076363960345911069, 'val': 1}
  • id: 53291
    {'lmfdb_iso': '1872.d', 'p': 37, 'prec': 20, 'unit': 316837401488406645741937669178, 'val': 1}
  • id: 53279
    {'lmfdb_iso': '1872.d', 'p': 41, 'prec': 20, 'unit': 545400304975477766266322550420, 'val': 1}
  • id: 53280
    {'lmfdb_iso': '1872.d', 'p': 43, 'prec': 20, 'unit': 3405762846457821335438943607151, 'val': 1}
  • id: 53284
    {'lmfdb_iso': '1872.d', 'p': 53, 'prec': 20, 'unit': 530610059252818859757450062899944, 'val': 1}
  • id: 53289
    {'lmfdb_iso': '1872.d', 'p': 59, 'prec': 20, 'unit': 56567122138139178775793228968939, 'val': 2}
  • id: 53290
    {'lmfdb_iso': '1872.d', 'p': 61, 'prec': 20, 'unit': 5550557319260548582162974605752540, 'val': 1}
  • id: 53275
    {'lmfdb_iso': '1872.d', 'p': 67, 'prec': 20, 'unit': 3796951219777917772762471114003960, 'val': 1}
  • id: 53288
    {'lmfdb_iso': '1872.d', 'p': 71, 'prec': 20, 'unit': 54200299112557716708386463057535699, 'val': 1}
  • id: 53285
    {'lmfdb_iso': '1872.d', 'p': 73, 'prec': 20, 'unit': 125553180871782252065828988524430534, 'val': 1}
  • id: 53281
    {'lmfdb_iso': '1872.d', 'p': 79, 'prec': 20, 'unit': 896086946812941684679514496184992301, 'val': 1}
  • id: 53274
    {'lmfdb_iso': '1872.d', 'p': 83, 'prec': 20, 'unit': 1022441128658029720482201551620554082, 'val': 1}
  • id: 53287
    {'lmfdb_iso': '1872.d', 'p': 89, 'prec': 20, 'unit': 4191166326797246592543933815901265701, 'val': 1}
  • id: 53273
    {'lmfdb_iso': '1872.d', 'p': 97, 'prec': 20, 'unit': 14484009373506882230705611562212837398, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 10488
    {'Ciso': '1872b', 'Clabel': '1872b2', 'Cnumber': 2, 'abc_quality': 0.8549692080894192, 'absD': 4672512, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, -51, -94], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1872, 'degree': 256, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.016441502017888575499045248284', 'prec': 110}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [530604, 169], 'lmfdb_iso': '1872.d', 'lmfdb_label': '1872.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -51, 94], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '52.6.0.e.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.72020059558646639330007627756', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 6, 208], [13, 14, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.86871722465153708952888332540', 'prec': 107}, 'szpiro_ratio': 3.1068105256152103, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 10487
    {'Ciso': '1872b', 'Clabel': '1872b1', 'Cnumber': 1, 'abc_quality': 0.662277327620974, 'absD': 89856, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, 9, -10], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1872, 'degree': 128, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.36301509229786123020766130901', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [11664, 13], 'lmfdb_iso': '1872.d', 'lmfdb_label': '1872.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 9, 10], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '52.6.0.e.1', '78.6.0.?', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4404011911729327866001525551', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 39], [3, 6, 208], [13, 14, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0997662848381855260012940325', 'prec': 103}, 'szpiro_ratio': 2.4161712310511114, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}