Elliptic curve isogeny class data - 5537.a

Formats: - HTML - YAML - JSON - 2025-11-29T01:41:56.843037

• 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, -2, -1, -2, 2, 0, 3, 1, 2, 0, 2, -2, 0, 4, -1, 6, -1, -6, 2], 'aplist': [-1, -2, -2, 0, 0, -2, 6, -6, -6, -6, 4, 2, 2, 6, -6, 10, -6, -6, 2, -6, -2, 10, 4, 14, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 5537, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '5537.a', 'trace_hash': 1776879957488445892}
• ec_padic •

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

  
  
  • id: 208363
    {'lmfdb_iso': '5537.a', 'p': 5, 'prec': 20, 'unit': 16368209819611, 'val': 1}
  • id: 208369
    {'lmfdb_iso': '5537.a', 'p': 13, 'prec': 20, 'unit': 1155226657086601315010, 'val': 1}
  • id: 208371
    {'lmfdb_iso': '5537.a', 'p': 17, 'prec': 20, 'unit': 192264473590240675356476, 'val': 1}
  • id: 208372
    {'lmfdb_iso': '5537.a', 'p': 19, 'prec': 20, 'unit': 1143231339225206024717316, 'val': 1}
  • id: 208376
    {'lmfdb_iso': '5537.a', 'p': 23, 'prec': 20, 'unit': 9518091762108709638902522, 'val': 1}
  • id: 208368
    {'lmfdb_iso': '5537.a', 'p': 29, 'prec': 20, 'unit': 3350259379493202468293594332, 'val': 1}
  • id: 208365
    {'lmfdb_iso': '5537.a', 'p': 31, 'prec': 20, 'unit': 19758603787125807141181374902, 'val': 1}
  • id: 208380
    {'lmfdb_iso': '5537.a', 'p': 37, 'prec': 20, 'unit': 362895834633757454596055619417, 'val': 1}
  • id: 208366
    {'lmfdb_iso': '5537.a', 'p': 41, 'prec': 20, 'unit': 2370630377139172824937217941051, 'val': 1}
  • id: 208367
    {'lmfdb_iso': '5537.a', 'p': 43, 'prec': 20, 'unit': 9595686594259662914898553899634, 'val': 1}
  • id: 208378
    {'lmfdb_iso': '5537.a', 'p': 47, 'prec': 20, 'unit': 8802362434758883978966728645588, 'val': 1}
  • id: 208373
    {'lmfdb_iso': '5537.a', 'p': 53, 'prec': 20, 'unit': 362957147443396634364794555842982, 'val': 1}
  • id: 208374
    {'lmfdb_iso': '5537.a', 'p': 59, 'prec': 20, 'unit': 1207137400519154827904622421487816, 'val': 1}
  • id: 208379
    {'lmfdb_iso': '5537.a', 'p': 61, 'prec': 20, 'unit': 2609767386396013982692464240715950, 'val': 1}
  • id: 208362
    {'lmfdb_iso': '5537.a', 'p': 67, 'prec': 20, 'unit': 2300851976584132052120444454846182, 'val': 1}
  • id: 208364
    {'lmfdb_iso': '5537.a', 'p': 71, 'prec': 20, 'unit': 21249866452404059041387556732478548, 'val': 1}
  • id: 208375
    {'lmfdb_iso': '5537.a', 'p': 73, 'prec': 20, 'unit': 165122371873289560512063536820734867, 'val': 1}
  • id: 208370
    {'lmfdb_iso': '5537.a', 'p': 79, 'prec': 20, 'unit': 834850654081791034786021585137841018, 'val': 1}
  • id: 208361
    {'lmfdb_iso': '5537.a', 'p': 83, 'prec': 20, 'unit': 1295267797562720299085568484298860318, 'val': 1}
  • id: 208377
    {'lmfdb_iso': '5537.a', 'p': 89, 'prec': 20, 'unit': 1086089513472272674474698926234667377, 'val': 1}
  • id: 208360
    {'lmfdb_iso': '5537.a', 'p': 97, 'prec': 20, 'unit': 6803761123206904058988639817993634051, '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: 34429
    {'Ciso': '5537d', 'Clabel': '5537d1', 'Cnumber': 1, 'abc_quality': 0.8890032334305703, 'absD': 13294337, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6328, 'ainvs': [1, 0, 0, -99, 328], 'analytic_rank': 1, 'bad_primes': [7, 113], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 5537, 'degree': 1152, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.096781818130634314533468588383', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [912673, 113], 'lmfdb_iso': '5537.a', 'lmfdb_label': '5537.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2, -2], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '56.12.0-4.b.1.2', '226.6.0.?', '452.24.0.?', '6328.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.53965640917629561433568514906', 'prec': 103}, 'semistable': False, 'serre_invariants': [[7, 26, 113], [113, 114, 49]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87617325639702233801920778334', 'prec': 107}, 'szpiro_ratio': 2.946859326933655, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 34430
    {'Ciso': '5537d', 'Clabel': '5537d2', 'Cnumber': 2, 'abc_quality': 1.1245004508528507, 'absD': 1502260081, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6328, 'ainvs': [1, 0, 0, 146, 1749], 'analytic_rank': 1, 'bad_primes': [7, 113], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 5537, 'degree': 2304, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.44335540841060696924208464911', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [2924207, 12769], 'lmfdb_iso': '5537.a', 'lmfdb_label': '5537.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 3, -4], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '56.12.0-4.a.1.1', '452.12.0.?', '904.24.0.?', '6328.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0793128183525912286713702981', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [7, 26, 113], [113, 114, 49]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52959966611704968331059172261', 'prec': 107}, 'szpiro_ratio': 3.299930121933208, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}