Elliptic curve isogeny class data - 27200.s

Formats: - HTML - YAML - JSON - 2025-11-09T11:03:12.128163

• 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, -4, 0, -1, 0, 0, 0, -1, 0, 1, 0], 'aplist': [0, -1, 0, -2, -4, -1, -1, 1, -6, 5, 3, 4, 6, 10, -5, -3, -3, -5, -6, -9, -13, 8, -8, -1, 1], 'class_deg': 1, 'class_size': 1, 'conductor': 27200, 'isogeny_matrix': [[1]], 'lmfdb_iso': '27200.s', 'trace_hash': 678317815329422102}
• ec_padic •

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

  
  
  • id: 1301710
    {'lmfdb_iso': '27200.s', 'p': 7, 'prec': 20, 'unit': 6533538816302205, 'val': 1}
  • id: 1301708
    {'lmfdb_iso': '27200.s', 'p': 11, 'prec': 20, 'unit': 12502288240572914640, 'val': 1}
  • id: 1301714
    {'lmfdb_iso': '27200.s', 'p': 13, 'prec': 20, 'unit': 1072584932403038918679, 'val': 1}
  • id: 1301717
    {'lmfdb_iso': '27200.s', 'p': 19, 'prec': 20, 'unit': 24655522652010980538147479, 'val': -1}
  • id: 1301720
    {'lmfdb_iso': '27200.s', 'p': 23, 'prec': 20, 'unit': 4500180183879175159019551, 'val': 1}
  • id: 1301713
    {'lmfdb_iso': '27200.s', 'p': 29, 'prec': 20, 'unit': 4528446081483036486736913657, 'val': 1}
  • id: 1301726
    {'lmfdb_iso': '27200.s', 'p': 31, 'prec': 20, 'unit': 11456470693827732802778468520, 'val': 1}
  • id: 1301709
    {'lmfdb_iso': '27200.s', 'p': 37, 'prec': 20, 'unit': 161610663403437047067153245801, 'val': 1}
  • id: 1301711
    {'lmfdb_iso': '27200.s', 'p': 41, 'prec': 20, 'unit': 1219948600401340022935305744783, 'val': 1}
  • id: 1301712
    {'lmfdb_iso': '27200.s', 'p': 43, 'prec': 20, 'unit': 9162156062497047383113166331645, 'val': 1}
  • id: 1301723
    {'lmfdb_iso': '27200.s', 'p': 47, 'prec': 20, 'unit': 1155173619427091252528860293785, 'val': 1}
  • id: 1301718
    {'lmfdb_iso': '27200.s', 'p': 53, 'prec': 20, 'unit': 141044109781347800521104456393927, 'val': 1}
  • id: 1301716
    {'lmfdb_iso': '27200.s', 'p': 59, 'prec': 20, 'unit': 344748877998804489614990015292434, 'val': 1}
  • id: 1301724
    {'lmfdb_iso': '27200.s', 'p': 61, 'prec': 20, 'unit': 5882251899607387357182106811529739, 'val': 1}
  • id: 1301707
    {'lmfdb_iso': '27200.s', 'p': 67, 'prec': 20, 'unit': 7467444412058576940204151890743411, 'val': 1}
  • id: 1301722
    {'lmfdb_iso': '27200.s', 'p': 71, 'prec': 20, 'unit': 86361023745111785346169189935477684, 'val': 1}
  • id: 1301719
    {'lmfdb_iso': '27200.s', 'p': 73, 'prec': 20, 'unit': 84970343448124188327487939731049635, 'val': 1}
  • id: 1301715
    {'lmfdb_iso': '27200.s', 'p': 79, 'prec': 20, 'unit': 135931891279617170406964984595301290, 'val': 1}
  • id: 1301725
    {'lmfdb_iso': '27200.s', 'p': 83, 'prec': 20, 'unit': 108927954899910974864862442164490317, 'val': 1}
  • id: 1301721
    {'lmfdb_iso': '27200.s', 'p': 89, 'prec': 20, 'unit': 1229881813827555923548035825373240659, 'val': 1}
  • id: 1301706
    {'lmfdb_iso': '27200.s', 'p': 97, 'prec': 20, 'unit': 4392261108782239516921971698825333313783, '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[]

  
  {'Ciso': '27200h', 'Clabel': '27200h1', 'Cnumber': 1, 'abc_quality': 0.9465813098045789, 'absD': 174080000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 680, 'ainvs': [0, -1, 0, -33, -20063], 'analytic_rank': 1, 'bad_primes': [2, 5, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 27200, 'degree': 18432, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.83579181295202697622181898418', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1], 'jinv': [-2, 85], 'lmfdb_iso': '27200.s', 'lmfdb_label': '27200.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 0, -20], 'min_quad_twist_disc': 40, 'modell_images': [], 'modm_images': ['680.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.80633641261433584279869884215', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 425], [5, 18, 1088], [17, 18, 1600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.95088564905827906608630618783', 'prec': 107}, 'szpiro_ratio': 3.2648717029845775, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}