Elliptic curve isogeny class data - 172380.j

Formats: - HTML - YAML - JSON - 2025-10-12T13:37:41.393123

• 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, 1, 0, -2, 0, 1, 0, -2, 0, 0, 0, -1, 0, -1, 0, 2, 0], 'aplist': [0, -1, 1, -2, -2, 0, -1, 2, 4, 2, -10, -6, -2, -8, -2, 6, 10, -2, 14, 2, -14, 12, -14, 10, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 172380, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '172380.j', 'trace_hash': 1581078827761792155}
• lmfdb_iso 172380.j 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: 1112230
    {'Ciso': '172380s', 'Clabel': '172380s1', 'Cnumber': 1, 'abc_quality': 0.9840786842752162, 'absD': 106126582489229250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26520, 'ainvs': [0, -1, 0, -11296185, -14601043458], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 172380, 'degree': 7741440, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7814252016309563995186286626', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [2064139491706322944, 1374181453125], 'lmfdb_iso': '172380.j', 'lmfdb_label': '172380.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -66841, -6625334], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '26.6.0.b.1', '52.12.0.e.1', '260.24.0.?', '408.12.0.?', '5304.24.0.?', '26520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1610783734457628582184656325', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 169], [3, 4, 11492], [5, 6, 34476], [13, 98, 1020], [17, 18, 10140]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2679014627135395950194742347', 'prec': 100}, 'szpiro_ratio': 5.003835540518576, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1112231
    {'Ciso': '172380s', 'Clabel': '172380s2', 'Cnumber': 2, 'abc_quality': 0.9456866456199285, 'absD': 132607225332562500000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26520, 'ainvs': [0, -1, 0, -9098340, -20455223400], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 172380, 'degree': 15482880, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1279987919109290542272447233', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [-67407802159923664, 107316650390625], 'lmfdb_iso': '172380.j', 'lmfdb_label': '172380.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -53836, -9293960], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '52.12.0.d.1', '408.12.0.?', '520.24.0.?', '5304.24.0.?', '26520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5805391867228814291092328162', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 169], [3, 4, 11492], [5, 6, 34476], [13, 98, 1020], [17, 18, 10140]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3834259928068638132556795882', 'prec': 100}, 'szpiro_ratio': 5.059645013081023, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}