Elliptic curve isogeny class data - 70070.c

Formats: - HTML - YAML - JSON - 2024-06-13T20:08:06.922588

• 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, -2, 1, -1, 2, 0, -1, 1, 1, -1, -2, 1, 0, 2, 1, -2, -1, 0, -1], 'aplist': [-1, -2, -1, 0, -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': 70070, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '70070.c', 'trace_hash': 880469102684004145}
• ec_padic •

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

  
  
  • id: 3589347
    {'lmfdb_iso': '70070.c', 'p': 17, 'prec': 20, 'unit': 12683138289068130753543, 'val': 2}
  • id: 3589345
    {'lmfdb_iso': '70070.c', 'p': 29, 'prec': 20, 'unit': 1787253948772705430142487444, 'val': 1}
  • id: 3589354
    {'lmfdb_iso': '70070.c', 'p': 31, 'prec': 20, 'unit': 16013927134330308015154095670, 'val': 1}
  • id: 3589341
    {'lmfdb_iso': '70070.c', 'p': 37, 'prec': 20, 'unit': 281073123227669533228064692686, 'val': 1}
  • id: 3589344
    {'lmfdb_iso': '70070.c', 'p': 43, 'prec': 20, 'unit': 10362386867482357109866134980731, 'val': 1}
  • id: 3589352
    {'lmfdb_iso': '70070.c', 'p': 47, 'prec': 20, 'unit': 52329212730779253733675889877517, 'val': 1}
  • id: 3589349
    {'lmfdb_iso': '70070.c', 'p': 53, 'prec': 20, 'unit': 34126567475205977680538761153078, 'val': 1}
  • id: 3589350
    {'lmfdb_iso': '70070.c', 'p': 59, 'prec': 20, 'unit': 2022363475943623169735120513843733, 'val': 1}
  • id: 3589353
    {'lmfdb_iso': '70070.c', 'p': 61, 'prec': 20, 'unit': 637395889077576989853982237965737, 'val': 1}
  • id: 3589340
    {'lmfdb_iso': '70070.c', 'p': 67, 'prec': 20, 'unit': 6069100655607622797192915687590685, 'val': 1}
  • id: 3589342
    {'lmfdb_iso': '70070.c', 'p': 71, 'prec': 20, 'unit': 111513749927364914141768148972608606, 'val': 1}
  • id: 3589343
    {'lmfdb_iso': '70070.c', 'p': 73, 'prec': 20, 'unit': 200099027622375026969508472654925521, 'val': 1}
  • id: 3589346
    {'lmfdb_iso': '70070.c', 'p': 79, 'prec': 20, 'unit': 369842892336901778622177143123837647, 'val': 1}
  • id: 3589348
    {'lmfdb_iso': '70070.c', 'p': 83, 'prec': 20, 'unit': 1430540345732042725918752318409837591, 'val': 1}
  • id: 3589351
    {'lmfdb_iso': '70070.c', 'p': 89, 'prec': 20, 'unit': 95830569741551758180526553061705569, 'val': 1}
  • id: 3589339
    {'lmfdb_iso': '70070.c', 'p': 97, 'prec': 20, 'unit': 44128818456349142232390762091091377114, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 463308
    {'Ciso': '70070f', 'Clabel': '70070f2', 'Cnumber': 2, 'abc_quality': 0.9309329263643302, 'absD': 148049501600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5720, 'ainvs': [1, 0, 1, -108659, -13795218], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 70070, 'degree': 276480, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4332528992350899515856141352', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [1205943158724121, 1258400], 'lmfdb_iso': '70070.c', 'lmfdb_label': '70070.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2217, 39269], 'min_quad_twist_disc': -7, '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': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.4516818330795022958009125154', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46029782470743329903293776348', 'prec': 103}, 'szpiro_ratio': 4.158865236999695, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 463307
    {'Ciso': '70070f', 'Clabel': '70070f1', 'Cnumber': 1, 'abc_quality': 0.8703475134803965, 'absD': 1119792593920, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5720, 'ainvs': [1, 0, 1, -6739, -219474], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 70070, 'degree': 138240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0866793089551172968769980744', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [-287626699801, 9518080], 'lmfdb_iso': '70070.c', 'lmfdb_label': '70070.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -137, 581], 'min_quad_twist_disc': -7, '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': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2258409165397511479004562577', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11372423442746064432432170268', 'prec': 103}, 'szpiro_ratio': 3.4162537865979514, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}