Elliptic curve isogeny class data - 13520.c

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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, -1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], 'aplist': [0, -2, -1, 0, 2, 0, 2, 2, -2, -6, 2, 6, -2, -6, -8, -2, 6, -14, 0, 10, 2, 4, 12, 6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 13520, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '13520.c', 'trace_hash': 1582310609099984514}
• ec_padic •

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

  
  
  • id: 597278
    {'lmfdb_iso': '13520.c', 'p': 11, 'prec': 20, 'unit': 48712858631669134020, 'val': 1}
  • id: 597285
    {'lmfdb_iso': '13520.c', 'p': 17, 'prec': 20, 'unit': 18433356880874441292326, 'val': 1}
  • id: 597276
    {'lmfdb_iso': '13520.c', 'p': 19, 'prec': 20, 'unit': 1433910414317011646815631, 'val': 1}
  • id: 597290
    {'lmfdb_iso': '13520.c', 'p': 23, 'prec': 20, 'unit': 63251810933153006869992806, 'val': 1}
  • id: 597283
    {'lmfdb_iso': '13520.c', 'p': 29, 'prec': 20, 'unit': 5325124915948884687280304550, 'val': 1}
  • id: 597294
    {'lmfdb_iso': '13520.c', 'p': 31, 'prec': 20, 'unit': 18596187391547492276298760395, 'val': 1}
  • id: 597279
    {'lmfdb_iso': '13520.c', 'p': 37, 'prec': 20, 'unit': 597961308761345581148766987184, 'val': 1}
  • id: 597281
    {'lmfdb_iso': '13520.c', 'p': 41, 'prec': 20, 'unit': 3153225128671935829380372484663, 'val': 1}
  • id: 597282
    {'lmfdb_iso': '13520.c', 'p': 43, 'prec': 20, 'unit': 2220289459456932270381821917727, 'val': 1}
  • id: 597292
    {'lmfdb_iso': '13520.c', 'p': 47, 'prec': 20, 'unit': 52021805014866006570127881389268, 'val': 1}
  • id: 597287
    {'lmfdb_iso': '13520.c', 'p': 53, 'prec': 20, 'unit': 452506855507261084213560567595253, 'val': 1}
  • id: 597288
    {'lmfdb_iso': '13520.c', 'p': 59, 'prec': 20, 'unit': 4407036220827867841777633973984295, 'val': 1}
  • id: 597293
    {'lmfdb_iso': '13520.c', 'p': 61, 'prec': 20, 'unit': 6665240299148910969890277754975393, 'val': 1}
  • id: 597280
    {'lmfdb_iso': '13520.c', 'p': 71, 'prec': 20, 'unit': 107914254429611391624069275702793806, 'val': 1}
  • id: 597289
    {'lmfdb_iso': '13520.c', 'p': 73, 'prec': 20, 'unit': 245387696436562300642066251188670125, 'val': 1}
  • id: 597284
    {'lmfdb_iso': '13520.c', 'p': 79, 'prec': 20, 'unit': 181412553448698353363749234116574359, 'val': 1}
  • id: 597286
    {'lmfdb_iso': '13520.c', 'p': 83, 'prec': 20, 'unit': 1164780515738237708113008790874207911, 'val': 1}
  • id: 597291
    {'lmfdb_iso': '13520.c', 'p': 89, 'prec': 20, 'unit': 9982371727921439190337676110599479493, 'val': 1}
  • id: 597277
    {'lmfdb_iso': '13520.c', 'p': 97, 'prec': 20, 'unit': 50455903894518812613489184347123376660, '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: 88431
    {'Ciso': '13520e', 'Clabel': '13520e1', 'Cnumber': 1, 'abc_quality': 0.7599770656493292, 'absD': 80318101760, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 1, 0, -3436, 75180], 'analytic_rank': 1, 'bad_primes': [2, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 13520, 'degree': 10752, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88813878418956175578873222680', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [3631696, 65], 'lmfdb_iso': '13520.c', 'lmfdb_label': '13520.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -20, -28], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '40.12.0-4.b.1.1', '104.12.0.?', '130.6.0.?', '260.24.0.?', '520.48.0.?'], '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': '2.7336768606571539954000782859', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 845], [5, 6, 2704], [13, 98, 80]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.85643401491450348518283290829', 'prec': 107}, 'szpiro_ratio': 3.7889367903350513, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 88432
    {'Ciso': '13520e', 'Clabel': '13520e2', 'Cnumber': 2, 'abc_quality': 1.0943056888733467, 'absD': 20882706457600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 1, 0, -56, 219844], 'analytic_rank': 1, 'bad_primes': [2, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 13520, 'degree': 21504, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2347123744695344104973482875', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [-4, 4225], 'lmfdb_iso': '13520.c', 'lmfdb_label': '13520.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 0, -100], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '20.12.0-4.a.1.2', '52.12.0-4.a.1.1', '260.24.0.?', '520.48.0.?'], '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': '1.3668384303285769977000391429', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 169], [5, 6, 2704], [13, 98, 80]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.62538495472785504871042220117', 'prec': 107}, 'szpiro_ratio': 4.008091063185689, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}