Elliptic curve isogeny class data - 17600.cd

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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, -2, 0, 1, 0, 4, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 1, 0, -2, 1, 4, 2, 0, -1, 0, -7, 3, -8, 6, 8, -6, 5, -12, 7, 3, -4, 10, 6, 15, 7], 'class_deg': 25, 'class_size': 3, 'conductor': 17600, 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'lmfdb_iso': '17600.cd', 'trace_hash': 549039491737318046}
• ec_padic •

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

  
  
  • id: 805527
    {'lmfdb_iso': '17600.cd', 'p': 7, 'prec': 20, 'unit': 6708034453460457, 'val': 1}
  • id: 805530
    {'lmfdb_iso': '17600.cd', 'p': 13, 'prec': 20, 'unit': 207039260898417477926, 'val': 1}
  • id: 805532
    {'lmfdb_iso': '17600.cd', 'p': 17, 'prec': 20, 'unit': 218147349124009209139528, 'val': 1}
  • id: 805537
    {'lmfdb_iso': '17600.cd', 'p': 23, 'prec': 20, 'unit': 36870188909257150508074538, 'val': 1}
  • id: 805542
    {'lmfdb_iso': '17600.cd', 'p': 31, 'prec': 20, 'unit': 14685110587896059180533422989, 'val': 1}
  • id: 805526
    {'lmfdb_iso': '17600.cd', 'p': 37, 'prec': 20, 'unit': 33926910106257441366676656171, 'val': 1}
  • id: 805528
    {'lmfdb_iso': '17600.cd', 'p': 41, 'prec': 20, 'unit': 2375738234503825035104390644387, 'val': 1}
  • id: 805529
    {'lmfdb_iso': '17600.cd', 'p': 43, 'prec': 20, 'unit': 1570317522479077221665054315917, 'val': 1}
  • id: 805540
    {'lmfdb_iso': '17600.cd', 'p': 47, 'prec': 20, 'unit': 19242651263882376318624890221490, 'val': 1}
  • id: 805534
    {'lmfdb_iso': '17600.cd', 'p': 53, 'prec': 20, 'unit': 444535535684977620567098026394288, 'val': 1}
  • id: 805535
    {'lmfdb_iso': '17600.cd', 'p': 59, 'prec': 20, 'unit': 2172010234851961012179299988620010, 'val': 1}
  • id: 805541
    {'lmfdb_iso': '17600.cd', 'p': 61, 'prec': 20, 'unit': 1887420698470220977055261980764521, 'val': 1}
  • id: 805525
    {'lmfdb_iso': '17600.cd', 'p': 67, 'prec': 20, 'unit': 46200938608704263716050498637689022, 'val': 1}
  • id: 805539
    {'lmfdb_iso': '17600.cd', 'p': 71, 'prec': 20, 'unit': 81405139690568082017229989295317600, 'val': 1}
  • id: 805536
    {'lmfdb_iso': '17600.cd', 'p': 73, 'prec': 20, 'unit': 147761274084782970417705470906592279, 'val': 1}
  • id: 805531
    {'lmfdb_iso': '17600.cd', 'p': 79, 'prec': 20, 'unit': 950537343282212036616813252949538330, 'val': 1}
  • id: 805533
    {'lmfdb_iso': '17600.cd', 'p': 83, 'prec': 20, 'unit': 1711192188351324545237870926182730371, 'val': 1}
  • id: 805538
    {'lmfdb_iso': '17600.cd', 'p': 89, 'prec': 20, 'unit': 6774208243624579530581917388223293144, 'val': 1}
  • id: 805524
    {'lmfdb_iso': '17600.cd', 'p': 97, 'prec': 20, 'unit': 44243822374804412574729875897194654227, '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: 116183
    {'Ciso': '17600cd', 'Clabel': '17600cd3', 'Cnumber': 3, 'abc_quality': 1.0929566831983986, 'absD': 11000000, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 2200, 'ainvs': [0, 1, 0, -782033, 265925813], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 17600, 'degree': 56000, 'elladic_images': ['25.60.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6480016615956699646203611325', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 25, 'iso_nlabel': 55, 'isogeny_degrees': [1, 5, 25], 'jinv': [-52893159101157376, 11], 'lmfdb_iso': '17600.cd', 'lmfdb_label': '17600.cd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -7820, -263580], 'min_quad_twist_disc': -40, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '22.2.0.a.1', '25.60.0.a.2', '40.24.0-5.a.2.2', '110.24.1.?', '200.120.0.?', '275.300.12.?', '440.48.1.?', '550.600.37.?', '2200.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0564385259122230423538407296', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [5, 14, 704], [11, 12, 1600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49670911509864712261136540516', 'prec': 103}, 'szpiro_ratio': 5.352333459930769, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 116182
    {'Ciso': '17600cd', 'Clabel': '17600cd2', 'Cnumber': 2, 'abc_quality': 1.012998630378065, 'absD': 161051000000, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 2200, 'ainvs': [0, 1, 0, -1033, 22813], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 17600, 'degree': 11200, 'elladic_images': ['5.60.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84328270537861977731998146588', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 55, 'isogeny_degrees': [1, 5], 'jinv': [-122023936, 161051], 'lmfdb_iso': '17600.cd', 'lmfdb_label': '17600.cd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -10, -20], 'min_quad_twist_disc': -40, 'modell_images': ['5Cs.4.1'], 'modm_images': ['5.60.0.a.1', '22.2.0.a.1', '40.120.0-5.a.1.2', '110.120.5.?', '275.300.12.?', '440.240.5.?', '550.600.37.?', '2200.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2112877051824446084707681459', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [5, 14, 64], [11, 12, 1600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30800984111840306468901426146', 'prec': 107}, 'szpiro_ratio': 3.439492117912607, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 116181
    {'Ciso': '17600cd', 'Clabel': '17600cd1', 'Cnumber': 1, 'abc_quality': 0.8254556483942886, 'absD': 11000000, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 2200, 'ainvs': [0, 1, 0, -33, -187], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 17600, 'degree': 2240, 'elladic_images': ['25.60.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.038563749161569590019601799269', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 55, 'isogeny_degrees': [1, 5, 25], 'jinv': [-4096, 11], 'lmfdb_iso': '17600.cd', 'lmfdb_label': '17600.cd3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, 0, 0], 'min_quad_twist_disc': -40, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '22.2.0.a.1', '25.60.0.a.1', '40.24.0-5.a.1.2', '110.24.1.?', '200.120.0.?', '275.300.12.?', '440.48.1.?', '550.600.37.?', '2200.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0564385259122230423538407296', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [5, 14, 704], [11, 12, 1600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1127287973354532519893939281', 'prec': 103}, 'szpiro_ratio': 2.4410920392390225, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}