Elliptic curve isogeny class data - 31734.f

Formats: - HTML - YAML - JSON - 2026-07-14T21:16:05.288349

• 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, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, -4, 1, 0, 1, 0, 0, -4, 0], 'aplist': [-1, 0, 0, -1, 0, -4, 0, -4, 3, -6, 5, -4, 1, 1, 6, 6, 3, -4, 8, 3, -4, -4, 15, -9, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 31734, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '31734.f', 'trace_hash': 1366472543890953369}
• lmfdb_iso 31734.f 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 211172
    {'Ciso': '31734f', 'Clabel': '31734f1', 'Cnumber': 1, 'abc_quality': 0.9849524275265034, 'absD': 5264289792, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 10578, 'ainvs': [1, -1, 0, -3537, -80163], 'analytic_rank': 0, 'bad_primes': [2, 3, 41, 43], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 31734, 'degree': 20160, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.78141675536442685345003461705', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3], 'jinv': [-6713831364625, 7221248], 'lmfdb_iso': '31734.f', 'lmfdb_label': '31734.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -393, 2969], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '3526.2.0.?', '10578.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 15867], [3, 2, 1763], [41, 42, 774], [43, 44, 738]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.23211061103037200775241199859', 'prec': 103}, 'szpiro_ratio': 3.4855976637376522, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 211173
    {'Ciso': '31734f', 'Clabel': '31734f2', 'Cnumber': 2, 'abc_quality': 1.0081129251170486, 'absD': 63915243509808, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 10578, 'ainvs': [1, -1, 0, 4383, -369171], 'analytic_rank': 0, 'bad_primes': [2, 3, 41, 43], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 31734, 'degree': 60480, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3307228996984816991476572355', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3], 'jinv': [12771880859375, 87675231152], 'lmfdb_iso': '31734.f', 'lmfdb_label': '31734.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 487, 13673], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '3526.2.0.?', '10578.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 15867], [3, 6, 2], [41, 42, 774], [43, 44, 738]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78141675536442685345003461704', 'prec': 103}, 'szpiro_ratio': 3.777586813346767, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}