Elliptic curve isogeny class data - 75712.e

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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, -4, 0, -1, 0, 1, 0, 0, 0, 0, 0, 8, 0, -2, 0, -2, 0], 'aplist': [0, -2, -4, -1, 0, 0, -2, -2, 8, -2, -4, -6, 2, -8, 4, 10, 6, -4, -12, 0, 14, -8, 6, -10, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 75712, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '75712.e', 'trace_hash': 1900117216811366665}
• ec_padic •

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

  
  
  • id: 3896987
    {'lmfdb_iso': '75712.e', 'p': 5, 'prec': 20, 'unit': 33227359527638, 'val': -1}
  • id: 3896993
    {'lmfdb_iso': '75712.e', 'p': 17, 'prec': 20, 'unit': 182573324882336401757642, 'val': 1}
  • id: 3896984
    {'lmfdb_iso': '75712.e', 'p': 19, 'prec': 20, 'unit': 745737844138134011954877, 'val': 1}
  • id: 3896998
    {'lmfdb_iso': '75712.e', 'p': 23, 'prec': 20, 'unit': 5541454111958644538338295, 'val': 1}
  • id: 3896991
    {'lmfdb_iso': '75712.e', 'p': 29, 'prec': 20, 'unit': 4509459583650653310782075321, 'val': 1}
  • id: 3896988
    {'lmfdb_iso': '75712.e', 'p': 31, 'prec': 20, 'unit': 7442010858341727447506001816, 'val': 1}
  • id: 3897002
    {'lmfdb_iso': '75712.e', 'p': 37, 'prec': 20, 'unit': 554535554705937310560138631960, 'val': 1}
  • id: 3896989
    {'lmfdb_iso': '75712.e', 'p': 41, 'prec': 20, 'unit': 704688033047654207651369586411, 'val': 1}
  • id: 3896990
    {'lmfdb_iso': '75712.e', 'p': 43, 'prec': 20, 'unit': 3683397576144825472948837394894, 'val': 1}
  • id: 3897000
    {'lmfdb_iso': '75712.e', 'p': 47, 'prec': 20, 'unit': 34161322163403538430133984525025, 'val': 1}
  • id: 3896995
    {'lmfdb_iso': '75712.e', 'p': 53, 'prec': 20, 'unit': 465119245278899174541896094606900, 'val': 1}
  • id: 3896996
    {'lmfdb_iso': '75712.e', 'p': 59, 'prec': 20, 'unit': 3042815689991044348103451667193614, 'val': 1}
  • id: 3897001
    {'lmfdb_iso': '75712.e', 'p': 61, 'prec': 20, 'unit': 7467039289762360438226771662447436, 'val': 1}
  • id: 3896986
    {'lmfdb_iso': '75712.e', 'p': 67, 'prec': 20, 'unit': 22072669162222934304169561914815959, 'val': 1}
  • id: 3896997
    {'lmfdb_iso': '75712.e', 'p': 73, 'prec': 20, 'unit': 8718057699379020704842310965171500, 'val': 1}
  • id: 3896992
    {'lmfdb_iso': '75712.e', 'p': 79, 'prec': 20, 'unit': 1071339382370685473314408016489819231, 'val': 1}
  • id: 3896994
    {'lmfdb_iso': '75712.e', 'p': 83, 'prec': 20, 'unit': 734656766969983465666264999572446026, 'val': 1}
  • id: 3896999
    {'lmfdb_iso': '75712.e', 'p': 89, 'prec': 20, 'unit': 10881706939238747407304913860940214470, 'val': 1}
  • id: 3896985
    {'lmfdb_iso': '75712.e', 'p': 97, 'prec': 20, 'unit': 54158872105586433922645978200826681973, '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: 500156
    {'Ciso': '75712q', 'Clabel': '75712q2', 'Cnumber': 2, 'abc_quality': 1.080363610213567, 'absD': 31000315953152, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, 1, 0, -27265, -1721121], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 75712, 'degree': 301056, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3943794334505983740240349421', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [3543122, 49], 'lmfdb_iso': '75712.e', 'lmfdb_label': '75712.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -40, -84], 'min_quad_twist_disc': 104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '28.6.0.c.1', '56.12.0.k.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3765554746893024080871571127', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87005375107342584901045428408', 'prec': 107}, 'szpiro_ratio': 3.761003615381731, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 500155
    {'Ciso': '75712q', 'Clabel': '75712q1', 'Cnumber': 1, 'abc_quality': 1.0348177494302118, 'absD': 2214308282368, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, 1, 0, -225, -71681], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 75712, 'degree': 150528, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0478058431706257193154188814', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [-4, 7], 'lmfdb_iso': '75712.e', 'lmfdb_label': '75712.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 0, -4], 'min_quad_twist_disc': 104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '14.6.0.b.1', '56.12.0.n.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7531109493786048161743142254', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1588650763067363946009676680', 'prec': 103}, 'szpiro_ratio': 3.1937690800516165, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}