Elliptic curve isogeny class data - 12870.bq

Formats: - HTML - YAML - JSON - 2025-09-24T02:01:06.330537

• 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, -1, 0, 4, 1, 0, -1, 1, 0, -1, 4, 0, 1, -2, 0, 0, -1], 'aplist': [1, 0, -1, 4, 1, -1, -2, 0, 0, -8, 8, -2, 0, 4, 6, 8, -4, -8, 8, 8, 10, -4, -4, 10, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 12870, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '12870.bq', 'trace_hash': 1334623711107633847}
• lmfdb_iso 12870.bq 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: 84080
    {'Ciso': '12870br', 'Clabel': '12870br2', 'Cnumber': 2, 'abc_quality': 0.9309329263643302, 'absD': 917373600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5720, 'ainvs': [1, -1, 1, -19958, -1080219], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 12870, 'degree': 23040, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0096039690414881447305603819', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2], 'jinv': [1205943158724121, 1258400], 'lmfdb_iso': '12870.bq', 'lmfdb_label': '12870.bq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2217, 39269], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '104.6.0.?', '220.6.0.?', '5720.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 117], [3, 6, 1430], [5, 6, 1287], [11, 12, 1170], [13, 14, 990]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46029782470743329903293776344', 'prec': 103}, 'szpiro_ratio': 4.366397712475569, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 84079
    {'Ciso': '12870br', 'Clabel': '12870br1', 'Cnumber': 1, 'abc_quality': 0.8703475134803965, 'absD': 6938680320, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5720, 'ainvs': [1, -1, 1, -1238, -16923], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 12870, 'degree': 11520, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.66303037876151549002194432117', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2], 'jinv': [-287626699801, 9518080], 'lmfdb_iso': '12870.bq', 'lmfdb_label': '12870.bq2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -137, 581], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '104.6.0.?', '110.6.0.?', '5720.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 495], [3, 6, 1430], [5, 6, 1287], [11, 12, 1170], [13, 14, 990]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11372423442746064432432170271', 'prec': 103}, 'szpiro_ratio': 3.490797552344634, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}