Elliptic curve isogeny class data - 312050.l

Formats: - HTML - YAML - JSON - 2025-09-22T11:24:44.227338

• 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, 0, -2, 0, -1, 1, 0, -4, 2, -2, 0, 0, 1, -2, -1, 0, 0], 'aplist': [-1, 2, 0, 0, -4, -2, -2, 0, 0, -8, 8, 4, 10, -2, 0, -8, -14, 0, -8, -8, -6, 0, -12, 6, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 312050, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '312050.l', 'trace_hash': 3144990452260074}
• lmfdb_iso 312050.l does not appear in ec_padic
• 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: 1961027
    {'Ciso': '312050l', 'Clabel': '312050l2', 'Cnumber': 2, 'abc_quality': 0.8597299405419038, 'absD': 47409650309580031250, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 632, 'ainvs': [1, 1, 0, -1407475, -551332125], 'analytic_rank': 2, 'bad_primes': [2, 5, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 312050, 'degree': 9584640, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4989770851711738769978665274', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [81182737, 12482], 'lmfdb_iso': '312050.l', 'lmfdb_label': '312050.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -9, 5], 'min_quad_twist_disc': -395, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '316.6.0.?', '632.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '53.922593041773512899745043226', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 156025], [5, 14, 12482], [79, 3200, 50]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49046579727938705738898590995', 'prec': 107}, 'szpiro_ratio': 4.275225302737382, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1961026
    {'Ciso': '312050l', 'Clabel': '312050l1', 'Cnumber': 1, 'abc_quality': 0.8000937907084497, 'absD': 1200244311634937500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 632, 'ainvs': [1, 1, 0, 152775, -47371375], 'analytic_rank': 2, 'bad_primes': [2, 5, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 312050, 'degree': 4792320, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1524034948912012222892504667', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [103823, 316], 'lmfdb_iso': '312050.l', 'lmfdb_label': '312050.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 1, 1], 'min_quad_twist_disc': -395, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '158.6.0.?', '632.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '13.480648260443378224936260807', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 156025], [5, 14, 12482], [79, 3200, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.83703938755935971209760197065', 'prec': 107}, 'szpiro_ratio': 3.863188894786538, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}