Elliptic curve isogeny class data - 2700.j

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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, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -7, 0], 'aplist': [0, 0, 0, -1, 0, 2, 0, -7, 0, 0, -7, -1, 0, 5, 0, 0, 0, -1, -16, 0, 17, -13, 0, 0, -19], 'class_deg': 3, 'class_size': 2, 'conductor': 2700, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '2700.j', 'trace_hash': 1961504739866736872}
• ec_padic •

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

  
  
  • id: 85123
    {'lmfdb_iso': '2700.j', 'p': 7, 'prec': 20, 'unit': 7605192036265671, 'val': 1}
  • id: 85126
    {'lmfdb_iso': '2700.j', 'p': 13, 'prec': 20, 'unit': 79427251644357380513, 'val': 1}
  • id: 85128
    {'lmfdb_iso': '2700.j', 'p': 19, 'prec': 20, 'unit': 1257422199412964923459705, 'val': 1}
  • id: 85130
    {'lmfdb_iso': '2700.j', 'p': 31, 'prec': 20, 'unit': 11895085430320772702691027662, 'val': 1}
  • id: 85122
    {'lmfdb_iso': '2700.j', 'p': 37, 'prec': 20, 'unit': 24614949044823158699744169126, 'val': 1}
  • id: 85125
    {'lmfdb_iso': '2700.j', 'p': 43, 'prec': 20, 'unit': 8168042159886970329232606388244, 'val': 1}
  • id: 85129
    {'lmfdb_iso': '2700.j', 'p': 61, 'prec': 20, 'unit': 7120965708479413936677172522385539, 'val': 1}
  • id: 85121
    {'lmfdb_iso': '2700.j', 'p': 67, 'prec': 20, 'unit': 749011485684615753172778738744753, 'val': 1}
  • id: 85124
    {'lmfdb_iso': '2700.j', 'p': 73, 'prec': 20, 'unit': 209900825918372059871099026411370334, 'val': 1}
  • id: 85127
    {'lmfdb_iso': '2700.j', 'p': 79, 'prec': 20, 'unit': 12552544210392821871307038276718476, 'val': 1}
  • id: 85120
    {'lmfdb_iso': '2700.j', 'p': 97, 'prec': 20, 'unit': 28067090769770403603312369360839847729, '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: 15874
    {'Ciso': '2700h', 'Clabel': '2700h2', 'Cnumber': 2, 'absD': 123018750000, 'ainvs': [0, 0, 0, 0, -16875], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 2700, 'degree': 1620, 'elladic_images': ['27.648.18.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.80684945654909303976281499447', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '2700.j', 'lmfdb_label': '2700.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, 5], 'min_quad_twist_disc': -15, 'modell_images': ['3B.1.2'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.7255943144881445896816523647', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 675], [3, 2, 10], [5, 10, 108]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 4.175457932387277, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 15873
    {'Ciso': '2700h', 'Clabel': '2700h1', 'Cnumber': 1, 'absD': 168750000, 'ainvs': [0, 0, 0, 0, 625], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 2700, 'degree': 540, 'elladic_images': ['27.648.18.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.25754331221503819406519237601', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '2700.j', 'lmfdb_label': '2700.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, 5], 'min_quad_twist_disc': 5, 'modell_images': ['3B.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2418647714960481965605507882', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 675], [3, 6, 100], [5, 10, 108]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 3.341175202523568, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}