Elliptic curve isogeny class data - 550.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, -1, 1, 1, 0, -1, -3, -1, -2, 0, 1, 1, -4, 3, 0, 1, -3, 2, -5, 0], 'aplist': [-1, 1, 0, -3, 1, -4, -3, -5, -4, 5, 7, 7, -8, 6, -8, -9, 0, -13, 12, -3, 6, 0, -4, -15, 12], 'class_deg': 25, 'class_size': 3, 'conductor': 550, 'isogeny_matrix': [[1, 25, 5], [25, 1, 5], [5, 5, 1]], 'lmfdb_iso': '550.e', 'trace_hash': 1092031405518240797}
• ec_padic •

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

  
  
  • id: 8653
    {'lmfdb_iso': '550.e', 'p': 7, 'prec': 20, 'unit': 10722646653526167, 'val': 1}
  • id: 8657
    {'lmfdb_iso': '550.e', 'p': 13, 'prec': 20, 'unit': 1183598434543212570747, 'val': 1}
  • id: 8659
    {'lmfdb_iso': '550.e', 'p': 17, 'prec': 20, 'unit': 66689263717647533608676, 'val': 1}
  • id: 8660
    {'lmfdb_iso': '550.e', 'p': 19, 'prec': 20, 'unit': 911651548012771832987151, 'val': 1}
  • id: 8663
    {'lmfdb_iso': '550.e', 'p': 23, 'prec': 20, 'unit': 49091945290027888739152999, 'val': 1}
  • id: 8656
    {'lmfdb_iso': '550.e', 'p': 29, 'prec': 20, 'unit': 638900384112725714407097731, 'val': 1}
  • id: 8667
    {'lmfdb_iso': '550.e', 'p': 31, 'prec': 20, 'unit': 8354681538972521493978693601, 'val': 1}
  • id: 8652
    {'lmfdb_iso': '550.e', 'p': 37, 'prec': 20, 'unit': 467209344590088203953044555688, 'val': 1}
  • id: 8654
    {'lmfdb_iso': '550.e', 'p': 41, 'prec': 20, 'unit': 1700603642537462810191590532644, 'val': 1}
  • id: 8655
    {'lmfdb_iso': '550.e', 'p': 43, 'prec': 20, 'unit': 10041235423887660547420725207717, 'val': 1}
  • id: 8658
    {'lmfdb_iso': '550.e', 'p': 47, 'prec': 20, 'unit': 57285983843628774149781125063789, 'val': 1}
  • id: 8661
    {'lmfdb_iso': '550.e', 'p': 53, 'prec': 20, 'unit': 57310116572284022177093343148213, 'val': 1}
  • id: 8666
    {'lmfdb_iso': '550.e', 'p': 61, 'prec': 20, 'unit': 6032885626718404291095697713830737, 'val': 1}
  • id: 8651
    {'lmfdb_iso': '550.e', 'p': 67, 'prec': 20, 'unit': 39252297469414349213095622361416070, 'val': 1}
  • id: 8665
    {'lmfdb_iso': '550.e', 'p': 71, 'prec': 20, 'unit': 56671149464384433252482378956497921, 'val': 1}
  • id: 8662
    {'lmfdb_iso': '550.e', 'p': 73, 'prec': 20, 'unit': 238795912164884342737737383522157719, 'val': 1}
  • id: 8650
    {'lmfdb_iso': '550.e', 'p': 83, 'prec': 20, 'unit': 1180522186742255544428399412439285725, 'val': 1}
  • id: 8664
    {'lmfdb_iso': '550.e', 'p': 89, 'prec': 20, 'unit': 8696814422959053452521720259566148670, 'val': 1}
  • id: 8649
    {'lmfdb_iso': '550.e', 'p': 97, 'prec': 20, 'unit': 55968501189199417113722128067599887698, '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: 2465
    {'Ciso': '550f', 'Clabel': '550f3', 'Cnumber': 3, 'abc_quality': 1.0355690721710038, 'absD': 720896000000000, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 2200, 'ainvs': [1, 0, 1, -758201, 254051548], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 550, 'degree': 6000, 'elladic_images': ['25.120.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9878470172189146283969967080', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 25, 'iso_nlabel': 4, 'isogeny_degrees': [1, 5, 25], 'jinv': [-24680042791780949, 369098752], 'lmfdb_iso': '550.e', 'lmfdb_label': '550.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -30328, 2020281], 'min_quad_twist_disc': 5, 'modell_images': ['5B.1.4'], 'modm_images': ['5.24.0-5.a.1.1', '25.120.0-25.a.1.1', '275.600.12.?', '440.48.1.?', '2200.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7960031138852879834226129668', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 55], [5, 14, 11], [11, 12, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78076858289333934744642720808', 'prec': 103}, 'szpiro_ratio': 8.277403300524817, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 2463
    {'Ciso': '550f', 'Clabel': '550f1', 'Cnumber': 1, 'abc_quality': 1.0648872065191846, 'absD': 42968750, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 2200, 'ainvs': [1, 0, 1, -701, -7202], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 550, 'degree': 240, 'elladic_images': ['25.120.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.37840910478481425379623737478', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 5, 25], 'jinv': [-19465109, 22], 'lmfdb_iso': '550.e', 'lmfdb_label': '550.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -28, -69], 'min_quad_twist_disc': 5, 'modell_images': ['5B.1.3'], 'modm_images': ['5.24.0-5.a.2.1', '25.120.0-25.a.2.1', '275.600.12.?', '440.48.1.?', '2200.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7960031138852879834226129668', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 55], [5, 14, 22], [11, 12, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.82866932954076102715433212514', 'prec': 107}, 'szpiro_ratio': 4.955852849460448, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 2464
    {'Ciso': '550f', 'Clabel': '550f2', 'Cnumber': 2, 'abc_quality': 1.0570897476931809, 'absD': 10065687500000, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 2200, 'ainvs': [1, 0, 1, 4924, 75298], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 550, 'degree': 1200, 'elladic_images': ['5.120.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1831280610018644410966170414', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 4, 'isogeny_degrees': [1, 5], 'jinv': [6761990971, 5153632], 'lmfdb_iso': '550.e', 'lmfdb_label': '550.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 197, 681], 'min_quad_twist_disc': 5, 'modell_images': ['5Cs.1.3'], 'modm_images': ['5.120.0-5.a.1.1', '275.600.12.?', '440.240.5.?', '2200.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.35920062277705759668452259335', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 55], [5, 14, 1], [11, 12, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.023950373323710839853952458519', 'prec': 110}, 'szpiro_ratio': 5.882726650513007, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}