Elliptic curve isogeny class data - 252.a

Formats: - HTML - YAML - JSON - 2025-12-15T14:35:29.626108

• 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, -4, 0, -1, 0, 0, 0, -2, 0, -6, 0, 0, 0, 4, 0, -4, 0], 'aplist': [0, 0, -4, -1, -2, -6, 4, -4, -2, 2, 0, 2, 0, -4, -12, 6, 8, 6, -8, -14, -2, 12, 4, 0, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 252, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '252.a', 'trace_hash': 1277624205169700480}
• ec_padic •

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

  
  
  • id: 2327
    {'lmfdb_iso': '252.a', 'p': 5, 'prec': 20, 'unit': 63763643867371, 'val': -1}
  • id: 2326
    {'lmfdb_iso': '252.a', 'p': 11, 'prec': 20, 'unit': 17795278472354713636, 'val': 1}
  • id: 2332
    {'lmfdb_iso': '252.a', 'p': 13, 'prec': 20, 'unit': 58956938463425658811, 'val': 1}
  • id: 2334
    {'lmfdb_iso': '252.a', 'p': 17, 'prec': 20, 'unit': 109147155826265960222697, 'val': 1}
  • id: 2335
    {'lmfdb_iso': '252.a', 'p': 19, 'prec': 20, 'unit': 938526078778976779958636, 'val': 1}
  • id: 2338
    {'lmfdb_iso': '252.a', 'p': 23, 'prec': 20, 'unit': 45497456837567839323210127, 'val': 1}
  • id: 2331
    {'lmfdb_iso': '252.a', 'p': 29, 'prec': 20, 'unit': 6056876266322374958150207721, 'val': 1}
  • id: 2342
    {'lmfdb_iso': '252.a', 'p': 37, 'prec': 20, 'unit': 21341220687531843892004056145, 'val': 1}
  • id: 2330
    {'lmfdb_iso': '252.a', 'p': 43, 'prec': 20, 'unit': 37322527112416795820632648336, 'val': 2}
  • id: 2340
    {'lmfdb_iso': '252.a', 'p': 47, 'prec': 20, 'unit': 28012771191644420772617068824696, 'val': 1}
  • id: 2336
    {'lmfdb_iso': '252.a', 'p': 53, 'prec': 20, 'unit': 182779913626787492450742965779551, 'val': 1}
  • id: 2337
    {'lmfdb_iso': '252.a', 'p': 59, 'prec': 20, 'unit': 776711200533391889925283721426130, 'val': 1}
  • id: 2341
    {'lmfdb_iso': '252.a', 'p': 61, 'prec': 20, 'unit': 7165261545675510633436981500480075, 'val': 1}
  • id: 2325
    {'lmfdb_iso': '252.a', 'p': 67, 'prec': 20, 'unit': 29764951551740357521791945620742743, 'val': 1}
  • id: 2328
    {'lmfdb_iso': '252.a', 'p': 71, 'prec': 20, 'unit': 69450721142023786834524099485689201, 'val': 1}
  • id: 2329
    {'lmfdb_iso': '252.a', 'p': 73, 'prec': 20, 'unit': 3211267157507955254615440517091287, 'val': 2}
  • id: 2333
    {'lmfdb_iso': '252.a', 'p': 79, 'prec': 20, 'unit': 58606898110608606245602928856705037, 'val': 1}
  • id: 2339
    {'lmfdb_iso': '252.a', 'p': 83, 'prec': 20, 'unit': 1243886230374166554131371145092457764, 'val': 1}
  • id: 2324
    {'lmfdb_iso': '252.a', 'p': 97, 'prec': 20, 'unit': 18507957489766645002643026089071563147, '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: 989
    {'Ciso': '252b', 'Clabel': '252b2', 'Cnumber': 2, 'abc_quality': 0.9101516292778125, 'absD': 11757312, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 84, 'ainvs': [0, 0, 0, -327, 2270], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 252, 'degree': 96, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.22531951732796146635982111236', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [20720464, 63], 'lmfdb_iso': '252.a', 'lmfdb_label': '252.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -36, -72], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '28.6.0.a.1', '84.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.19554938003603203674501292948', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 63], [3, 8, 28], [7, 8, 36]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78608474737939025228262292041', 'prec': 107}, 'szpiro_ratio': 5.241677411303913, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 988
    {'Ciso': '252b', 'Clabel': '252b1', 'Cnumber': 1, 'abc_quality': 1.0551964751750895, 'absD': 1714608, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 84, 'ainvs': [0, 0, 0, -12, 65], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 252, 'degree': 48, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.12125407295201118834879494837', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [-16384, 147], 'lmfdb_iso': '252.a', 'lmfdb_label': '252.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1, -2], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '28.6.0.b.1', '84.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 17, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.097774690018016018372506464739', 'prec': 107}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 28], [7, 8, 36]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90160927747271447051882827398', 'prec': 107}, 'szpiro_ratio': 3.955547621869054, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}