Elliptic curve isogeny class data - 2850.z

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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, -2, 1, 1, 0, -3, 1, -6, -2, 0, 1, -2, 1, -1, 0], 'aplist': [1, 1, 0, -2, -3, -6, -2, -1, -1, -5, 7, -2, 2, -6, -12, 9, -10, -13, -7, 12, 9, 5, -1, 5, -12], 'class_deg': 5, 'class_size': 2, 'conductor': 2850, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '2850.z', 'trace_hash': 1214361058914944988}
• ec_padic •

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

  
  
  • id: 91805
    {'lmfdb_iso': '2850.z', 'p': 7, 'prec': 20, 'unit': 1271098520750685, 'val': 1}
  • id: 91803
    {'lmfdb_iso': '2850.z', 'p': 11, 'prec': 20, 'unit': 889448226049823779, 'val': 1}
  • id: 91809
    {'lmfdb_iso': '2850.z', 'p': 13, 'prec': 20, 'unit': 63881912403698311343, 'val': 2}
  • id: 91811
    {'lmfdb_iso': '2850.z', 'p': 17, 'prec': 20, 'unit': 32674199169410739947585, 'val': 1}
  • id: 91816
    {'lmfdb_iso': '2850.z', 'p': 23, 'prec': 20, 'unit': 7109345670302643706519299, 'val': 1}
  • id: 91808
    {'lmfdb_iso': '2850.z', 'p': 29, 'prec': 20, 'unit': 431326080084877035303785677, 'val': 1}
  • id: 91821
    {'lmfdb_iso': '2850.z', 'p': 31, 'prec': 20, 'unit': 16369109485283912877268624022, 'val': 1}
  • id: 91804
    {'lmfdb_iso': '2850.z', 'p': 37, 'prec': 20, 'unit': 529245009583077848516823973157, 'val': 1}
  • id: 91806
    {'lmfdb_iso': '2850.z', 'p': 41, 'prec': 20, 'unit': 447536108285846005762114337112, 'val': 1}
  • id: 91807
    {'lmfdb_iso': '2850.z', 'p': 43, 'prec': 20, 'unit': 6894377164657439100125453676968, 'val': 1}
  • id: 91819
    {'lmfdb_iso': '2850.z', 'p': 47, 'prec': 20, 'unit': 44263246694208105008456639888572, 'val': 1}
  • id: 91813
    {'lmfdb_iso': '2850.z', 'p': 53, 'prec': 20, 'unit': 261052867403501056648745279289579, 'val': 1}
  • id: 91814
    {'lmfdb_iso': '2850.z', 'p': 59, 'prec': 20, 'unit': 4117534624159570135574905746312158, 'val': 1}
  • id: 91820
    {'lmfdb_iso': '2850.z', 'p': 61, 'prec': 20, 'unit': 5335605745196269706105420238251704, 'val': 1}
  • id: 91812
    {'lmfdb_iso': '2850.z', 'p': 67, 'prec': 20, 'unit': 24222475737009771869938795290427343, 'val': 1}
  • id: 91818
    {'lmfdb_iso': '2850.z', 'p': 71, 'prec': 20, 'unit': 3327909807494011854854854754881133, 'val': 1}
  • id: 91815
    {'lmfdb_iso': '2850.z', 'p': 73, 'prec': 20, 'unit': 69611423478858921205993970953356870, 'val': 1}
  • id: 91810
    {'lmfdb_iso': '2850.z', 'p': 79, 'prec': 20, 'unit': 910124508553929805245753100580825251, 'val': 1}
  • id: 91802
    {'lmfdb_iso': '2850.z', 'p': 83, 'prec': 20, 'unit': 1951746417110410377719512100437359272, 'val': 1}
  • id: 91817
    {'lmfdb_iso': '2850.z', 'p': 89, 'prec': 20, 'unit': 8498682535789727422747298647922405880, 'val': 1}
  • id: 91801
    {'lmfdb_iso': '2850.z', 'p': 97, 'prec': 20, 'unit': 18427346839702893088529937074069303830, '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: 16916
    {'Ciso': '2850w', 'Clabel': '2850w2', 'Cnumber': 2, 'abc_quality': 1.0156937260858383, 'absD': 2611510664062500, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1140, 'ainvs': [1, 0, 0, -496888, -134878108], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 2850, 'degree': 36000, 'elladic_images': ['5.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9586652602171315651320955581', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 25, 'isogeny_degrees': [1, 5], 'jinv': [-1389310279182025, 267418692], 'lmfdb_iso': '2850.z', 'lmfdb_label': '2850.z1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -19875, -1086975], 'min_quad_twist_disc': 5, 'modell_images': ['5B.1.2'], 'modm_images': ['5.24.0-5.a.2.2', '228.2.0.?', '1140.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.5216657117446891329409993657', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1425], [3, 4, 950], [5, 2, 6], [19, 20, 150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.61746699985538125296479611375', 'prec': 103}, 'szpiro_ratio': 6.406262687945846, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 16915
    {'Ciso': '2850w', 'Clabel': '2850w1', 'Cnumber': 1, 'abc_quality': 1.08504151838819, 'absD': 6979308364800, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1140, 'ainvs': [1, 0, 0, 4772, 7952], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 2850, 'degree': 7200, 'elladic_images': ['5.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1539463040000813778317158915', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1, 5], 'jinv': [480705753733655, 279172334592], 'lmfdb_iso': '2850.z', 'lmfdb_label': '2850.z2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 4772, 7952], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.1'], 'modm_images': ['5.24.0-5.a.1.2', '228.2.0.?', '1140.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9043331423489378265881998731', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1425], [3, 4, 950], [5, 10, 19], [19, 20, 150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.88570665192773131539825600263', 'prec': 103}, 'szpiro_ratio': 4.6542811560613035, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}