Elliptic curve isogeny class data - 2700.l

Formats: - HTML - YAML - JSON - 2026-06-07T00:45:41.063292

• 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, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -7, 0], 'aplist': [0, 0, 0, 1, 0, -2, 0, -7, 0, 0, -7, 1, 0, -5, 0, 0, 0, -1, 16, 0, -17, -13, 0, 0, 19], 'class_deg': 3, 'class_size': 2, 'conductor': 2700, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '2700.l', 'trace_hash': 782418070585401732}
• ec_padic •

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

  
  
  • id: 85174
    {'lmfdb_iso': '2700.l', 'p': 7, 'prec': 20, 'unit': 33150395635861060, 'val': 0}
  • id: 85177
    {'lmfdb_iso': '2700.l', 'p': 13, 'prec': 20, 'unit': 1290675998019981340726, 'val': 1}
  • id: 85179
    {'lmfdb_iso': '2700.l', 'p': 19, 'prec': 20, 'unit': 1287743717524399044882421, 'val': 1}
  • id: 85181
    {'lmfdb_iso': '2700.l', 'p': 31, 'prec': 20, 'unit': 8790785442643208705203743000, 'val': 1}
  • id: 85173
    {'lmfdb_iso': '2700.l', 'p': 37, 'prec': 20, 'unit': 14081754336618622012820305249367, 'val': 0}
  • id: 85176
    {'lmfdb_iso': '2700.l', 'p': 43, 'prec': 20, 'unit': 3603186092908274858893896868738, 'val': 1}
  • id: 85180
    {'lmfdb_iso': '2700.l', 'p': 61, 'prec': 20, 'unit': 5927505444988242374545915640834843, 'val': 1}
  • id: 85172
    {'lmfdb_iso': '2700.l', 'p': 67, 'prec': 20, 'unit': 27981404202703657729784101144889251, 'val': 1}
  • id: 85175
    {'lmfdb_iso': '2700.l', 'p': 73, 'prec': 20, 'unit': 155502297551499422529677124664092597, 'val': 1}
  • id: 85178
    {'lmfdb_iso': '2700.l', 'p': 79, 'prec': 20, 'unit': 78223560154715775326872760072565651, 'val': 1}
  • id: 85171
    {'lmfdb_iso': '2700.l', 'p': 97, 'prec': 20, 'unit': 26220982826038143270521001997547558502, '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
  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: 15880
    {'Ciso': '2700l', 'Clabel': '2700l2', 'Cnumber': 2, 'absD': 7873200, 'ainvs': [0, 0, 0, 0, -135], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 2700, 'degree': 324, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.0021305003320428524624353278623', 'prec': 110}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '2700.l', 'lmfdb_label': '2700.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, 5], 'min_quad_twist_disc': -3, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.34536885721753343666931436724', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 675], [3, 2, 10], [5, 10, 108]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 2.9532558243446756, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 15879
    {'Ciso': '2700l', 'Clabel': '2700l1', 'Cnumber': 1, 'absD': 10800, 'ainvs': [0, 0, 0, 0, 5], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 2700, 'degree': 108, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.54717564400201199323518729060', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '2700.l', 'lmfdb_label': '2700.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, 5], 'min_quad_twist_disc': 1, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0361065716526003100079431017', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 675], [3, 6, 100], [5, 10, 108]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 2.1189730944809657, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}