Elliptic curve isogeny class data - 5100.p

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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, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -4, 0], 'aplist': [0, 1, 0, 0, 0, 0, 1, -4, -8, -8, 2, 2, 0, -4, 6, -6, -4, 6, -8, -12, -2, -10, -2, 2, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 5100, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '5100.p', 'trace_hash': 1578163346744076782}
• ec_padic •

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

  
  
  • id: 188260
    {'lmfdb_iso': '5100.p', 'p': 19, 'prec': 20, 'unit': 1491273447053727590828989, 'val': 1}
  • id: 188272
    {'lmfdb_iso': '5100.p', 'p': 23, 'prec': 20, 'unit': 45418651810600921940830893, 'val': 1}
  • id: 188267
    {'lmfdb_iso': '5100.p', 'p': 29, 'prec': 20, 'unit': 4825138020414830724605646277, 'val': 1}
  • id: 188276
    {'lmfdb_iso': '5100.p', 'p': 31, 'prec': 20, 'unit': 5314215756991355884711556814, 'val': 1}
  • id: 188263
    {'lmfdb_iso': '5100.p', 'p': 37, 'prec': 20, 'unit': 131361306837096110189878078678, 'val': 1}
  • id: 188266
    {'lmfdb_iso': '5100.p', 'p': 43, 'prec': 20, 'unit': 9793398281095457171822918513093, 'val': 1}
  • id: 188274
    {'lmfdb_iso': '5100.p', 'p': 47, 'prec': 20, 'unit': 48056463246486756395710933786935, 'val': 1}
  • id: 188271
    {'lmfdb_iso': '5100.p', 'p': 53, 'prec': 20, 'unit': 141204905991301999673447102128144, 'val': 1}
  • id: 188269
    {'lmfdb_iso': '5100.p', 'p': 59, 'prec': 20, 'unit': 2944602334635623891650262206948604, 'val': 1}
  • id: 188275
    {'lmfdb_iso': '5100.p', 'p': 61, 'prec': 20, 'unit': 5186782993897311809823090218510783, 'val': 1}
  • id: 188262
    {'lmfdb_iso': '5100.p', 'p': 67, 'prec': 20, 'unit': 35151123524931498828326767239895363, 'val': 1}
  • id: 188264
    {'lmfdb_iso': '5100.p', 'p': 71, 'prec': 20, 'unit': 63094945545951129280095609512800921, 'val': 1}
  • id: 188265
    {'lmfdb_iso': '5100.p', 'p': 73, 'prec': 20, 'unit': 182903481955876426716878297752129146, 'val': 1}
  • id: 188268
    {'lmfdb_iso': '5100.p', 'p': 79, 'prec': 20, 'unit': 771688348588490771253661743908532806, 'val': 1}
  • id: 188270
    {'lmfdb_iso': '5100.p', 'p': 83, 'prec': 20, 'unit': 396667509111072718372586021865088364, 'val': 1}
  • id: 188273
    {'lmfdb_iso': '5100.p', 'p': 89, 'prec': 20, 'unit': 6067716970869338152400061250023779150, 'val': 1}
  • id: 188261
    {'lmfdb_iso': '5100.p', 'p': 97, 'prec': 20, 'unit': 41715576877536456192579694307529645213, '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: 31741
    {'Ciso': '5100p', 'Clabel': '5100p2', 'Cnumber': 2, 'abc_quality': 1.0980405269861715, 'absD': 249696000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1020, 'ainvs': [0, 1, 0, -748, -8092], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 5100, 'degree': 1728, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.45526697230429235644560981269', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [1448301584, 7803], 'lmfdb_iso': '5100.p', 'lmfdb_label': '5100.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -748, -8092], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.a.1', '204.6.0.?', '340.6.0.?', '1020.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.55422565889216670230836946131', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 15], [3, 4, 1700], [17, 18, 300]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40919062617752961014940143492', 'prec': 107}, 'szpiro_ratio': 3.685974461680644, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 31740
    {'Ciso': '5100p', 'Clabel': '5100p1', 'Cnumber': 1, 'abc_quality': 1.204254392721833, 'absD': 24786000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1020, 'ainvs': [0, 1, 0, -73, 8], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 5100, 'degree': 864, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.10869338202431970173699375196', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [21807104, 12393], 'lmfdb_iso': '5100.p', 'lmfdb_label': '5100.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -73, 8], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.b.1', '170.6.0.?', '204.6.0.?', '1020.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.27711282944608335115418473065', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 85], [3, 4, 1700], [17, 18, 300]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52471515627085382838560678850', 'prec': 107}, 'szpiro_ratio': 2.8697037372417746, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}