Elliptic curve isogeny class data - 4032.a

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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, 0, 0, -4, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0], 'aplist': [0, 0, -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': 4032, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4032.a', 'trace_hash': 2042875714892484157}
• ec_padic •

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

  
  
  • id: 141407
    {'lmfdb_iso': '4032.a', 'p': 5, 'prec': 20, 'unit': 25666618754573, 'val': -1}
  • id: 141413
    {'lmfdb_iso': '4032.a', 'p': 17, 'prec': 20, 'unit': 130422801170278258242079, 'val': 1}
  • id: 141404
    {'lmfdb_iso': '4032.a', 'p': 19, 'prec': 20, 'unit': 317310995336395989821349, 'val': 1}
  • id: 141418
    {'lmfdb_iso': '4032.a', 'p': 23, 'prec': 20, 'unit': 23276395715224490327678088, 'val': 1}
  • id: 141411
    {'lmfdb_iso': '4032.a', 'p': 29, 'prec': 20, 'unit': 5698755901850903609236703084, 'val': 1}
  • id: 141408
    {'lmfdb_iso': '4032.a', 'p': 31, 'prec': 20, 'unit': 9850864973585120439801409507, 'val': 1}
  • id: 141422
    {'lmfdb_iso': '4032.a', 'p': 37, 'prec': 20, 'unit': 568844732887092867262700315742, 'val': 1}
  • id: 141409
    {'lmfdb_iso': '4032.a', 'p': 41, 'prec': 20, 'unit': 3207937379430897316628266822181, 'val': 1}
  • id: 141410
    {'lmfdb_iso': '4032.a', 'p': 43, 'prec': 20, 'unit': 1904351241805610366229909074475, 'val': 1}
  • id: 141420
    {'lmfdb_iso': '4032.a', 'p': 47, 'prec': 20, 'unit': 32527120800579122849734326962529, 'val': 1}
  • id: 141415
    {'lmfdb_iso': '4032.a', 'p': 53, 'prec': 20, 'unit': 7669674504753524390478935620756, 'val': 2}
  • id: 141416
    {'lmfdb_iso': '4032.a', 'p': 59, 'prec': 20, 'unit': 2665645333841965415165716934926226, 'val': 1}
  • id: 141421
    {'lmfdb_iso': '4032.a', 'p': 61, 'prec': 20, 'unit': 8204050939938261443682753387590335, 'val': 1}
  • id: 141406
    {'lmfdb_iso': '4032.a', 'p': 67, 'prec': 20, 'unit': 15939870245397091401603168021562750, 'val': 1}
  • id: 141417
    {'lmfdb_iso': '4032.a', 'p': 73, 'prec': 20, 'unit': 83476753641053973996406669690241241, 'val': 1}
  • id: 141412
    {'lmfdb_iso': '4032.a', 'p': 79, 'prec': 20, 'unit': 1028093198140025996092157991074890232, 'val': 1}
  • id: 141414
    {'lmfdb_iso': '4032.a', 'p': 83, 'prec': 20, 'unit': 2562735814635429628862131801612028418, 'val': 1}
  • id: 141419
    {'lmfdb_iso': '4032.a', 'p': 89, 'prec': 20, 'unit': 5629596016167731373227937618338722784, 'val': 1}
  • id: 141405
    {'lmfdb_iso': '4032.a', 'p': 97, 'prec': 20, 'unit': 18975030525364979545681783684025258039, '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: 24602
    {'Ciso': '4032bf', 'Clabel': '4032bf2', 'Cnumber': 2, 'abc_quality': 1.080363610213567, 'absD': 4682022912, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, 0, 0, -1452, -21040], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4032, 'degree': 3072, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.66121089905388485169491383979', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [3543122, 49], 'lmfdb_iso': '4032.a', 'lmfdb_label': '4032.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -40, -84], 'min_quad_twist_disc': 24, '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': '0.87390373149173068806897306944', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 6, 448], [7, 8, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87005375107342584901045428407', 'prec': 107}, 'szpiro_ratio': 4.029826890949599, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 24601
    {'Ciso': '4032bf', 'Clabel': '4032bf1', 'Cnumber': 1, 'abc_quality': 1.0348177494302118, 'absD': 334430208, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, 0, 0, -12, -880], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4032, 'degree': 1536, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.31463730877391219698629777906', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [-4, 7], 'lmfdb_iso': '4032.a', 'lmfdb_label': '4032.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 0, -4], 'min_quad_twist_disc': 24, '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': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7478074629834613761379461389', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 63], [3, 6, 448], [7, 8, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1588650763067363946009676680', 'prec': 103}, 'szpiro_ratio': 3.262217688902337, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}