Elliptic curve isogeny class data - 540.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, -1, 0, -4, 0, 0, 0, 6, 0, -4, 0, 0, 0, -3, 0, -7, 0], 'aplist': [0, 0, -1, -4, 6, -4, -3, -7, -9, 0, -7, 2, 6, 2, 0, 9, -12, -7, 2, 6, 2, -1, 9, -6, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 540, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '540.a', 'trace_hash': 35210885126202400}
• ec_padic •

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

  
  
  • id: 8513
    {'lmfdb_iso': '540.a', 'p': 7, 'prec': 20, 'unit': 275112078216244, 'val': 1}
  • id: 8518
    {'lmfdb_iso': '540.a', 'p': 11, 'prec': 20, 'unit': 10881597552884174482, 'val': 1}
  • id: 8516
    {'lmfdb_iso': '540.a', 'p': 13, 'prec': 20, 'unit': 1137879346714794234171, 'val': 1}
  • id: 8519
    {'lmfdb_iso': '540.a', 'p': 17, 'prec': 20, 'unit': 141869314712186712186884, 'val': 1}
  • id: 8520
    {'lmfdb_iso': '540.a', 'p': 19, 'prec': 20, 'unit': 1373388372341674007274641, 'val': 1}
  • id: 8523
    {'lmfdb_iso': '540.a', 'p': 23, 'prec': 20, 'unit': 7624697890431310718739084, 'val': 1}
  • id: 8528
    {'lmfdb_iso': '540.a', 'p': 31, 'prec': 20, 'unit': 12461265178067345372376101779, 'val': 1}
  • id: 8512
    {'lmfdb_iso': '540.a', 'p': 37, 'prec': 20, 'unit': 457737369915731890387732352064, 'val': 1}
  • id: 8514
    {'lmfdb_iso': '540.a', 'p': 41, 'prec': 20, 'unit': 4144827431106706914094048448588, 'val': 1}
  • id: 8515
    {'lmfdb_iso': '540.a', 'p': 43, 'prec': 20, 'unit': 64243290662788793333597736516, 'val': 1}
  • id: 8521
    {'lmfdb_iso': '540.a', 'p': 53, 'prec': 20, 'unit': 29057271672159808554922762699631, 'val': 1}
  • id: 8526
    {'lmfdb_iso': '540.a', 'p': 59, 'prec': 20, 'unit': 882175964016048591107320069401055, 'val': 1}
  • id: 8527
    {'lmfdb_iso': '540.a', 'p': 61, 'prec': 20, 'unit': 7576157944005680709931510333797647, 'val': 1}
  • id: 8511
    {'lmfdb_iso': '540.a', 'p': 67, 'prec': 20, 'unit': 44897278030737128570989292882584502, 'val': 1}
  • id: 8525
    {'lmfdb_iso': '540.a', 'p': 71, 'prec': 20, 'unit': 74475231011509622850320494946842278, 'val': 1}
  • id: 8522
    {'lmfdb_iso': '540.a', 'p': 73, 'prec': 20, 'unit': 233068470896229926252591560855216299, 'val': 1}
  • id: 8517
    {'lmfdb_iso': '540.a', 'p': 79, 'prec': 20, 'unit': 84398507230428927159297495381731658, 'val': 1}
  • id: 8510
    {'lmfdb_iso': '540.a', 'p': 83, 'prec': 20, 'unit': 123413820426706984366434968823261372, 'val': 1}
  • id: 8524
    {'lmfdb_iso': '540.a', 'p': 89, 'prec': 20, 'unit': 6465954205959356744744649712434050455, 'val': 1}
  • id: 8509
    {'lmfdb_iso': '540.a', 'p': 97, 'prec': 20, 'unit': 21242968607498480839242659324173681666, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 2410
    {'Ciso': '540d', 'Clabel': '540d2', 'Cnumber': 2, 'abc_quality': 1.1514167254781673, 'absD': 354294000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 30, 'ainvs': [0, 0, 0, -513, -4563], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 540, 'degree': 324, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.42679421897599429252050959807', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-5267712, 125], 'lmfdb_iso': '540.a', 'lmfdb_label': '540.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -513, -4563], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '30.16.0-30.b.1.2'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7168549191867733897330630077', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 135], [3, 4, 4], [5, 6, 108]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.81131610582308802773087590959', 'prec': 107}, 'szpiro_ratio': 4.8278284837533025, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 2409
    {'Ciso': '540d', 'Clabel': '540d1', 'Cnumber': 1, 'abc_quality': 0.6989700043360189, 'absD': 1574640, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 30, 'ainvs': [0, 0, 0, 27, -27], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 540, 'degree': 108, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.12251192535806055317711302039', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [6912, 5], 'lmfdb_iso': '540.a', 'lmfdb_label': '540.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 27, -27], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '30.16.0-30.b.1.4'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 10, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2389516397289244632443543359', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 135], [3, 2, 10], [5, 6, 108]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1775202020457912581959576552', 'prec': 103}, 'szpiro_ratio': 3.4174485178185736, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}