Elliptic curve isogeny class data - 47775.t

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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, 0, 3, 1, 0, 0, 1, 1, 0, 0, -1, 2, -1, 4, 0], 'aplist': [-1, -1, 0, 0, 0, 1, 2, 4, 0, 6, -8, -2, 10, -8, 12, 6, -4, -6, -12, 12, -6, -8, 8, 10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 47775, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '47775.t', 'trace_hash': 512956888068235593}
• ec_padic •

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

  
  
  • id: 2398697
    {'lmfdb_iso': '47775.t', 'p': 17, 'prec': 20, 'unit': 6413469111840272019414, 'val': 1}
  • id: 2398688
    {'lmfdb_iso': '47775.t', 'p': 19, 'prec': 20, 'unit': 1576269827834538296349305, 'val': 1}
  • id: 2398695
    {'lmfdb_iso': '47775.t', 'p': 29, 'prec': 20, 'unit': 958625273051003897321394443, 'val': 1}
  • id: 2398705
    {'lmfdb_iso': '47775.t', 'p': 31, 'prec': 20, 'unit': 13886060886778691072380953871, 'val': 1}
  • id: 2398691
    {'lmfdb_iso': '47775.t', 'p': 37, 'prec': 20, 'unit': 435754502875974983724217191984, 'val': 1}
  • id: 2398693
    {'lmfdb_iso': '47775.t', 'p': 41, 'prec': 20, 'unit': 3295948151628744739872404089431, 'val': 1}
  • id: 2398694
    {'lmfdb_iso': '47775.t', 'p': 43, 'prec': 20, 'unit': 8325252381698639262061752519383, 'val': 1}
  • id: 2398703
    {'lmfdb_iso': '47775.t', 'p': 47, 'prec': 20, 'unit': 340682025746858436638291710582, 'val': 1}
  • id: 2398699
    {'lmfdb_iso': '47775.t', 'p': 53, 'prec': 20, 'unit': 385242425174568820746527720533907, 'val': 1}
  • id: 2398700
    {'lmfdb_iso': '47775.t', 'p': 59, 'prec': 20, 'unit': 2278370558419997801044815015585301, 'val': 1}
  • id: 2398704
    {'lmfdb_iso': '47775.t', 'p': 61, 'prec': 20, 'unit': 5086867192769854437313438905374659, 'val': 1}
  • id: 2398690
    {'lmfdb_iso': '47775.t', 'p': 67, 'prec': 20, 'unit': 37232784184008913947560097432979009, 'val': 1}
  • id: 2398692
    {'lmfdb_iso': '47775.t', 'p': 71, 'prec': 20, 'unit': 120807674768481030896919961164585976, 'val': 1}
  • id: 2398701
    {'lmfdb_iso': '47775.t', 'p': 73, 'prec': 20, 'unit': 227526483342857272740945606476992621, 'val': 1}
  • id: 2398696
    {'lmfdb_iso': '47775.t', 'p': 79, 'prec': 20, 'unit': 313421505759455352212859935835718229, 'val': 1}
  • id: 2398698
    {'lmfdb_iso': '47775.t', 'p': 83, 'prec': 20, 'unit': 1666399901343998865499406338471667094, 'val': 1}
  • id: 2398702
    {'lmfdb_iso': '47775.t', 'p': 89, 'prec': 20, 'unit': 640599121698980635382819703745804765, 'val': 1}
  • id: 2398689
    {'lmfdb_iso': '47775.t', 'p': 97, 'prec': 20, 'unit': 6760287613162873414283091077384746026, '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: 317876
    {'Ciso': '47775q', 'Clabel': '47775q4', 'Cnumber': 4, 'abc_quality': 0.9735305925746595, 'absD': 8714251089755859375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, 1, 1, -20670063, -36179358594], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 47775, 'degree': 2211840, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8000882139298142888391308750', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [531301262949272089, 4740474375], 'lmfdb_iso': '47775.t', 'lmfdb_label': '47775.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -16873, 836602], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '156.12.0.?', '312.24.0.?', '420.12.0.?', '840.24.0.?', '1820.12.0.?', '3640.24.0.?', '5460.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.318752049957988723064544451', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 4, 15925], [5, 18, 637], [7, 32, 975], [13, 14, 3675]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0224141831851074489860748367', 'prec': 100}, 'szpiro_ratio': 5.768025538852143, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 317874
    {'Ciso': '47775q', 'Clabel': '47775q2', 'Cnumber': 2, 'abc_quality': 0.9312987645826678, 'absD': 22472097300031640625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5460, 'ainvs': [1, 1, 1, -1321188, -538730844], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 47775, 'degree': 1105920, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4535146236498416341305148143', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [138742439989609, 12224619225], 'lmfdb_iso': '47775.t', 'lmfdb_label': '47775.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1078, 12103], 'min_quad_twist_disc': -35, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '156.24.0.?', '420.24.0.?', '1820.24.0.?', '5460.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.6593760249789943615322722254', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [3, 4, 15925], [5, 18, 637], [7, 32, 975], [13, 14, 3675]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.67584059290513479427745877597', 'prec': 103}, 'szpiro_ratio': 5.002268360793581, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 317873
    {'Ciso': '47775q', 'Clabel': '47775q1', 'Cnumber': 1, 'abc_quality': 0.9010228496837062, 'absD': 446535501905390625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, 1, 1, -286063, 49220156], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 47775, 'degree': 552960, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1069410333698689794218987536', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [1408317602329, 242911305], 'lmfdb_iso': '47775.t', 'lmfdb_label': '47775.t3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -233, -1248], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '210.6.0.?', '312.24.0.?', '420.24.0.?', '3640.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8296880124894971807661361127', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3675], [3, 4, 15925], [5, 18, 637], [7, 32, 975], [13, 14, 3675]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.32926700262516213956884271527', 'prec': 103}, 'szpiro_ratio': 4.576232195628971, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 317875
    {'Ciso': '47775q', 'Clabel': '47775q3', 'Cnumber': 3, 'abc_quality': 0.9710184073087608, 'absD': 2916384337295754609375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, 1, 1, 1465687, -2506264594], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 47775, 'degree': 2211840, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8000882139298142888391308750', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [189425802193991, 1586486902455], 'lmfdb_iso': '47775.t', 'lmfdb_label': '47775.t4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 1197, 58968], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '312.24.0.?', '840.24.0.?', '910.6.0.?', '1820.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.318752049957988723064544451', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 15925], [3, 4, 15925], [5, 18, 637], [7, 32, 975], [13, 14, 3675]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0224141831851074489860748367', 'prec': 100}, 'szpiro_ratio': 5.272544297779422, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}