Elliptic curve isogeny class data - 1056.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, -1, 0, 0, 0, -2, 0, 1, 0, -1, 0, 4, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, -1, 0, -2, -1, 4, -2, 0, -2, -2, -4, 6, -6, -12, -6, 0, 0, 0, 4, -10, 2, 2, -4, -14, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 1056, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1056.d', 'trace_hash': 1418902645715003956}
• ec_padic •

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

  
  
  • id: 24209
    {'lmfdb_iso': '1056.d', 'p': 7, 'prec': 20, 'unit': 4398307268659957, 'val': 1}
  • id: 24212
    {'lmfdb_iso': '1056.d', 'p': 13, 'prec': 20, 'unit': 1189459215130711576310, 'val': 1}
  • id: 24214
    {'lmfdb_iso': '1056.d', 'p': 17, 'prec': 20, 'unit': 9330464128849991788708, 'val': 2}
  • id: 24217
    {'lmfdb_iso': '1056.d', 'p': 23, 'prec': 20, 'unit': 31352505545610925766857397, 'val': 1}
  • id: 24221
    {'lmfdb_iso': '1056.d', 'p': 29, 'prec': 20, 'unit': 203862601242334282526707434, 'val': 1}
  • id: 24222
    {'lmfdb_iso': '1056.d', 'p': 31, 'prec': 20, 'unit': 8582641788105920395778948407, 'val': 1}
  • id: 24208
    {'lmfdb_iso': '1056.d', 'p': 37, 'prec': 20, 'unit': 589639170786669721877657731145, 'val': 1}
  • id: 24210
    {'lmfdb_iso': '1056.d', 'p': 41, 'prec': 20, 'unit': 3895592935444367187296219074672, 'val': 1}
  • id: 24211
    {'lmfdb_iso': '1056.d', 'p': 43, 'prec': 20, 'unit': 4767867320231892581709197309620, 'val': 1}
  • id: 24213
    {'lmfdb_iso': '1056.d', 'p': 47, 'prec': 20, 'unit': 33002513099175376467609893449416, 'val': 1}
  • id: 24207
    {'lmfdb_iso': '1056.d', 'p': 67, 'prec': 20, 'unit': 33914352564830437595724050039458333, 'val': 1}
  • id: 24219
    {'lmfdb_iso': '1056.d', 'p': 71, 'prec': 20, 'unit': 139121918173068749099542426053831980, 'val': 1}
  • id: 24216
    {'lmfdb_iso': '1056.d', 'p': 73, 'prec': 20, 'unit': 211887844906857404417941339733498164, 'val': 1}
  • id: 24220
    {'lmfdb_iso': '1056.d', 'p': 79, 'prec': 20, 'unit': 976555493939184901322331749830153878, 'val': 1}
  • id: 24215
    {'lmfdb_iso': '1056.d', 'p': 83, 'prec': 20, 'unit': 666027621655379838052628288653605703, 'val': 1}
  • id: 24218
    {'lmfdb_iso': '1056.d', 'p': 89, 'prec': 20, 'unit': 4974419930164831222101007344342663300, 'val': 1}
  • id: 24206
    {'lmfdb_iso': '1056.d', 'p': 97, 'prec': 20, 'unit': 7047150304660359577507113336755761406, '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: 5446
    {'Ciso': '1056a', 'Clabel': '1056a1', 'Cnumber': 1, 'abc_quality': 0.9631437603910471, 'absD': 19008, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [0, -1, 0, -98, 408], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1056, 'degree': 96, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.17531452818576905752585812190', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [1643032000, 297], 'lmfdb_iso': '1056.d', 'lmfdb_label': '1056.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -98, 408], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '66.6.0.a.1', '264.12.0.?'], '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': '1.1396448857938216224381539763', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 33], [3, 4, 352], [11, 12, 96]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52188811846574171223447418263', 'prec': 107}, 'szpiro_ratio': 3.6451888483927957, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 5447
    {'Ciso': '1056a', 'Clabel': '1056a2', 'Cnumber': 2, 'abc_quality': 1.1220261923101509, 'absD': 45163008, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [0, -1, 0, -88, 484], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1056, 'degree': 192, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.17125906209420359718275793882', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [-148877000, 88209], 'lmfdb_iso': '1056.d', 'lmfdb_label': '1056.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -88, 484], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '132.6.0.?', '264.12.0.?'], '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': '0.56982244289691081121907698815', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 1], [3, 4, 352], [11, 12, 96]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34860132332575538488016615227', 'prec': 107}, 'szpiro_ratio': 3.700236698662009, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}