Elliptic curve isogeny class data - 31600.w

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• 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, 2, 0, 0, 0, 0, 0, 1, 0, 4, 0, -2, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 2, 0, 0, 4, -2, 2, 0, 0, 8, -8, -4, -10, -2, 0, 8, -14, 0, 8, -8, -6, 1, 12, 6, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 31600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '31600.w', 'trace_hash': 1780549236750992106}
• ec_padic •

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

  
  
  • id: 1536488
    {'lmfdb_iso': '31600.w', 'p': 11, 'prec': 20, 'unit': 466699423266495593, 'val': 1}
  • id: 1536493
    {'lmfdb_iso': '31600.w', 'p': 13, 'prec': 20, 'unit': 859805911224877644349, 'val': 1}
  • id: 1536494
    {'lmfdb_iso': '31600.w', 'p': 17, 'prec': 20, 'unit': 184666097049944687805984, 'val': 1}
  • id: 1536500
    {'lmfdb_iso': '31600.w', 'p': 29, 'prec': 20, 'unit': 4917040121176317251016165806, 'val': 1}
  • id: 1536501
    {'lmfdb_iso': '31600.w', 'p': 31, 'prec': 20, 'unit': 6113350684856840133629199612, 'val': 1}
  • id: 1536489
    {'lmfdb_iso': '31600.w', 'p': 37, 'prec': 20, 'unit': 479492460917409346571105499915, 'val': 1}
  • id: 1536491
    {'lmfdb_iso': '31600.w', 'p': 41, 'prec': 20, 'unit': 2530922778380846447378907340785, 'val': 1}
  • id: 1536492
    {'lmfdb_iso': '31600.w', 'p': 43, 'prec': 20, 'unit': 157907685636835912144874253269, 'val': 2}
  • id: 1536496
    {'lmfdb_iso': '31600.w', 'p': 53, 'prec': 20, 'unit': 413090747066406991847699265474496, 'val': 1}
  • id: 1536499
    {'lmfdb_iso': '31600.w', 'p': 59, 'prec': 20, 'unit': 931292161381766234770537544953510, 'val': 1}
  • id: 1536487
    {'lmfdb_iso': '31600.w', 'p': 67, 'prec': 20, 'unit': 32251344260059605205092477871317310, 'val': 1}
  • id: 1536490
    {'lmfdb_iso': '31600.w', 'p': 71, 'prec': 20, 'unit': 92900507287262863014909300207771247, 'val': 1}
  • id: 1536497
    {'lmfdb_iso': '31600.w', 'p': 73, 'prec': 20, 'unit': 78676220340024514708173071505486414, 'val': 1}
  • id: 1536495
    {'lmfdb_iso': '31600.w', 'p': 83, 'prec': 20, 'unit': 1303322652898674040956035843133253256, 'val': 1}
  • id: 1536498
    {'lmfdb_iso': '31600.w', 'p': 89, 'prec': 20, 'unit': 8446865044637491736457404200890183576, 'val': 1}
  • id: 1536486
    {'lmfdb_iso': '31600.w', 'p': 97, 'prec': 20, 'unit': 29847362030952516774083282856219907380, '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: 210170
    {'Ciso': '31600s', 'Clabel': '31600s2', 'Cnumber': 2, 'abc_quality': 0.8597299405419038, 'absD': 798848000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 632, 'ainvs': [0, -1, 0, -3608, -70288], 'analytic_rank': 1, 'bad_primes': [2, 5, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 31600, 'degree': 36864, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0074003394976084393286258781', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2], 'jinv': [81182737, 12482], 'lmfdb_iso': '31600.w', 'lmfdb_label': '31600.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -9, 5], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '316.6.0.?', '632.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.8232416050976590908505198051', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [5, 14, 1264], [79, 80, 400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49046579727938705738898590997', 'prec': 107}, 'szpiro_ratio': 3.492608124629619, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 210169
    {'Ciso': '31600s', 'Clabel': '31600s1', 'Cnumber': 1, 'abc_quality': 0.8000937907084497, 'absD': 20224000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 632, 'ainvs': [0, -1, 0, 392, -6288], 'analytic_rank': 1, 'bad_primes': [2, 5, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 31600, 'degree': 18432, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.66082674921763578462000981740', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2], 'jinv': [103823, 316], 'lmfdb_iso': '31600.w', 'lmfdb_label': '31600.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 1, 1], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '158.6.0.?', '632.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4116208025488295454252599026', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1975], [5, 14, 1264], [79, 80, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.83703938755935971209760197067', 'prec': 107}, 'szpiro_ratio': 2.9895019403799017, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}