Elliptic curve isogeny class data - 285.a

Formats: - HTML - YAML - JSON - 2025-04-21T20:42:18.245946

• 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, -1, -1, -2, 3, 1, 1, -6, -1, 0, 2, -1, -1, -6, -1, 1, 1], 'aplist': [-1, 1, -1, -2, -6, 0, -6, 1, -8, 4, 0, 4, 0, -2, -8, 2, 12, 2, -8, 16, 14, 8, 0, 0, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 285, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '285.a', 'trace_hash': 666118259663023950}
• ec_padic •

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

  
  
  • id: 2820
    {'lmfdb_iso': '285.a', 'p': 7, 'prec': 20, 'unit': 2361010940967383, 'val': 1}
  • id: 2818
    {'lmfdb_iso': '285.a', 'p': 11, 'prec': 20, 'unit': 1697255156687471137, 'val': 1}
  • id: 2825
    {'lmfdb_iso': '285.a', 'p': 17, 'prec': 20, 'unit': 158319416037158208483886, 'val': 1}
  • id: 2829
    {'lmfdb_iso': '285.a', 'p': 23, 'prec': 20, 'unit': 40936968974196744944193451, 'val': 1}
  • id: 2823
    {'lmfdb_iso': '285.a', 'p': 29, 'prec': 20, 'unit': 1291906551247099267435904190, 'val': 1}
  • id: 2819
    {'lmfdb_iso': '285.a', 'p': 37, 'prec': 20, 'unit': 545416845455761467135891171006, 'val': 1}
  • id: 2822
    {'lmfdb_iso': '285.a', 'p': 43, 'prec': 20, 'unit': 10094220869652299247610977858999, 'val': 1}
  • id: 2831
    {'lmfdb_iso': '285.a', 'p': 47, 'prec': 20, 'unit': 3054256445268753537728053268154, 'val': 1}
  • id: 2827
    {'lmfdb_iso': '285.a', 'p': 53, 'prec': 20, 'unit': 102280588569900699866304873705287, 'val': 1}
  • id: 2828
    {'lmfdb_iso': '285.a', 'p': 59, 'prec': 20, 'unit': 2581496512415726104754887685651756, 'val': 1}
  • id: 2832
    {'lmfdb_iso': '285.a', 'p': 61, 'prec': 20, 'unit': 7989223268274700785370635932038186, 'val': 1}
  • id: 2826
    {'lmfdb_iso': '285.a', 'p': 67, 'prec': 20, 'unit': 34272171352947694392685116207289861, 'val': 1}
  • id: 2830
    {'lmfdb_iso': '285.a', 'p': 71, 'prec': 20, 'unit': 83983316234788933720879797549224255, 'val': 1}
  • id: 2821
    {'lmfdb_iso': '285.a', 'p': 73, 'prec': 20, 'unit': 136153705404032745116054302809842248, 'val': 1}
  • id: 2824
    {'lmfdb_iso': '285.a', 'p': 79, 'prec': 20, 'unit': 515726054206696402605696617708050013, 'val': 1}
  • id: 2817
    {'lmfdb_iso': '285.a', 'p': 97, 'prec': 20, 'unit': 55363371147098332050889226503425570575, '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
  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: 1093
    {'Ciso': '285a', 'Clabel': '285a2', 'Cnumber': 2, 'abc_quality': 1.0317978744296175, 'absD': 28048275, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1140, 'ainvs': [1, 0, 0, -76, -19], 'analytic_rank': 1, 'bad_primes': [3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 285, 'degree': 80, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.11864263774689362441543696896', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [48587168449, 28048275], 'lmfdb_iso': '285.a', 'lmfdb_label': '285.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -76, -19], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.c.1', '76.6.0.?', '1140.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.13482717795889418687569402828', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 2, 19], [3, 4, 95], [5, 6, 19], [19, 20, 15]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11864263774689362441543696896', 'prec': 103}, 'szpiro_ratio': 4.353237047353329, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1092
    {'Ciso': '285a', 'Clabel': '285a1', 'Cnumber': 1, 'abc_quality': 1.0032160152059715, 'absD': 438615, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1140, 'ainvs': [1, 0, 0, 19, 0], 'analytic_rank': 1, 'bad_primes': [3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 285, 'degree': 40, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.22793095253307903029317909177', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [756058031, 438615], 'lmfdb_iso': '285.a', 'lmfdb_label': '285.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 19, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '76.6.0.?', '1140.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.26965435591778837375138805656', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 2, 15], [3, 4, 95], [5, 6, 19], [19, 20, 15]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.22793095253307903029317909177', 'prec': 107}, 'szpiro_ratio': 3.6167479564831706, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}