Elliptic curve isogeny class data - 42826.q

Formats: - HTML - YAML - JSON - 2025-10-30T13:08:10.869886

• 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, -1, 1, -3, -1, 0, 1, -2, -3, -3, -1, -2, 0, 3, 1, 0, -2, -1, -3], 'aplist': [1, -1, -3, 0, -3, -2, 0, -1, 1, -3, 4, -4, -6, -13, -3, 0, -9, -2, 8, -12, -11, -1, -9, 3, -17], 'class_deg': 3, 'class_size': 2, 'conductor': 42826, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '42826.q', 'trace_hash': 2065385743236737958}
• ec_padic •

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

  
  
  • id: 2131888
    {'lmfdb_iso': '42826.q', 'p': 5, 'prec': 20, 'unit': 5641970428713, 'val': 2}
  • id: 2131873
    {'lmfdb_iso': '42826.q', 'p': 11, 'prec': 20, 'unit': 433925488528348866, 'val': 3}
  • id: 2131880
    {'lmfdb_iso': '42826.q', 'p': 13, 'prec': 20, 'unit': 936640564331192763598, 'val': 2}
  • id: 2131879
    {'lmfdb_iso': '42826.q', 'p': 29, 'prec': 20, 'unit': 846978963850361487342169527, 'val': 2}
  • id: 2131876
    {'lmfdb_iso': '42826.q', 'p': 31, 'prec': 20, 'unit': 13405952004950628157009381433, 'val': 2}
  • id: 2131874
    {'lmfdb_iso': '42826.q', 'p': 37, 'prec': 20, 'unit': 185378490687339275606000470705, 'val': 2}
  • id: 2131877
    {'lmfdb_iso': '42826.q', 'p': 41, 'prec': 20, 'unit': 2582595333739014138180351218907, 'val': 2}
  • id: 2131878
    {'lmfdb_iso': '42826.q', 'p': 43, 'prec': 20, 'unit': 7512480573673369709246285356727, 'val': 2}
  • id: 2131886
    {'lmfdb_iso': '42826.q', 'p': 47, 'prec': 20, 'unit': 41957223753738427114141896418363, 'val': 2}
  • id: 2131882
    {'lmfdb_iso': '42826.q', 'p': 59, 'prec': 20, 'unit': 198762608457789317562599192161008, 'val': 2}
  • id: 2131887
    {'lmfdb_iso': '42826.q', 'p': 61, 'prec': 20, 'unit': 6694788191276288521965218959908627, 'val': 2}
  • id: 2131883
    {'lmfdb_iso': '42826.q', 'p': 67, 'prec': 20, 'unit': 3889574718782120026993330287111845, 'val': 2}
  • id: 2131875
    {'lmfdb_iso': '42826.q', 'p': 71, 'prec': 20, 'unit': 124303795954341551535639702245037686, 'val': 2}
  • id: 2131884
    {'lmfdb_iso': '42826.q', 'p': 73, 'prec': 20, 'unit': 25232238611761032787193165491582315, 'val': 2}
  • id: 2131881
    {'lmfdb_iso': '42826.q', 'p': 79, 'prec': 20, 'unit': 192858911169014457411325435209582400, 'val': 2}
  • id: 2131872
    {'lmfdb_iso': '42826.q', 'p': 83, 'prec': 20, 'unit': 7965701712134352834940000581531700, 'val': 2}
  • id: 2131885
    {'lmfdb_iso': '42826.q', 'p': 89, 'prec': 20, 'unit': 10153913520219917227468634696887870431, 'val': 2}
  • id: 2131871
    {'lmfdb_iso': '42826.q', 'p': 97, 'prec': 20, 'unit': 35590010838712692745740297686064844735, 'val': 2}
• 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: 284865
    {'Ciso': '42826n', 'Clabel': '42826n2', 'Cnumber': 2, 'abc_quality': 1.014697315204348, 'absD': 2375674021504, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 73416, 'ainvs': [1, 1, 1, -31403562, 67722437047], 'analytic_rank': 2, 'bad_primes': [2, 7, 19, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 42826, 'degree': 1451520, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5881604297612437685211368280', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 16, 'isogeny_degrees': [1, 3], 'jinv': [29112011033527546515217, 20192896], 'lmfdb_iso': '42826.q', 'lmfdb_label': '42826.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -640889, -197533063], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.2', '3496.2.0.?', '10488.8.0.?', '73416.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.8749750842719534904026069419', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 21413], [3, 2, 2254], [7, 26, 437], [19, 20, 2254], [23, 24, 1862]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6152053552335871159684604563', 'prec': 100}, 'szpiro_ratio': 5.944818486915191, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 284864
    {'Ciso': '42826n', 'Clabel': '42826n1', 'Cnumber': 1, 'abc_quality': 0.9640066419360215, 'absD': 57036813950255104, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 73416, 'ainvs': [1, 1, 1, -388522, 92339127], 'analytic_rank': 2, 'bad_primes': [2, 7, 19, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 42826, 'degree': 483840, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0388542854271889228235142095', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 3], 'jinv': [55129288688387857, 484804919296], 'lmfdb_iso': '42826.q', 'lmfdb_label': '42826.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7929, -270343], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.1', '3496.2.0.?', '10488.8.0.?', '73416.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 26, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.20833056491910594337806743799', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 21413], [3, 2, 931], [7, 26, 437], [19, 20, 2254], [23, 24, 1862]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0658992108995322702708378378', 'prec': 100}, 'szpiro_ratio': 4.709272027526846, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}