Elliptic curve isogeny class data - 4730.d

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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, -3, 1, 1, -3, 1, 1, 6, 1, 1, -3, 0, 1, -3, 1, -3, 6, -1, 1], 'aplist': [1, -3, 1, 1, 1, 0, -3, -1, -4, -5, -3, -11, 0, 1, 6, -9, 4, 13, 12, 9, -10, -4, 0, -1, 0], 'class_deg': 7, 'class_size': 2, 'conductor': 4730, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '4730.d', 'trace_hash': 86518948674784705}
• ec_padic •

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

  
  
  • id: 172031
    {'lmfdb_iso': '4730.d', 'p': 7, 'prec': 20, 'unit': 42319493133736148, 'val': 0}
  • id: 172034
    {'lmfdb_iso': '4730.d', 'p': 17, 'prec': 20, 'unit': 38891217996046183503597, 'val': 1}
  • id: 172035
    {'lmfdb_iso': '4730.d', 'p': 19, 'prec': 20, 'unit': 504488406489888151151526, 'val': 1}
  • id: 172038
    {'lmfdb_iso': '4730.d', 'p': 23, 'prec': 20, 'unit': 591377202825965119162612, 'val': 2}
  • id: 172032
    {'lmfdb_iso': '4730.d', 'p': 29, 'prec': 20, 'unit': 236128880388036052233422374, 'val': 1}
  • id: 172042
    {'lmfdb_iso': '4730.d', 'p': 31, 'prec': 20, 'unit': 20828348856138966655115410969, 'val': 1}
  • id: 172028
    {'lmfdb_iso': '4730.d', 'p': 37, 'prec': 20, 'unit': 378710445761321386342769626824, 'val': 1}
  • id: 172040
    {'lmfdb_iso': '4730.d', 'p': 47, 'prec': 20, 'unit': 43754971072455476218085789711368, 'val': 1}
  • id: 172036
    {'lmfdb_iso': '4730.d', 'p': 53, 'prec': 20, 'unit': 575897067747442591022264148988343, 'val': 1}
  • id: 172037
    {'lmfdb_iso': '4730.d', 'p': 59, 'prec': 20, 'unit': 1876126332094200580271655489961588, 'val': 1}
  • id: 172041
    {'lmfdb_iso': '4730.d', 'p': 61, 'prec': 20, 'unit': 2424400734131817762412307865455015, 'val': 1}
  • id: 172027
    {'lmfdb_iso': '4730.d', 'p': 67, 'prec': 20, 'unit': 30635299420337308862386984991133555, 'val': 1}
  • id: 172029
    {'lmfdb_iso': '4730.d', 'p': 71, 'prec': 20, 'unit': 57722848030625888711413996889221971, 'val': 1}
  • id: 172030
    {'lmfdb_iso': '4730.d', 'p': 73, 'prec': 20, 'unit': 245163324090006968443299638307003745, 'val': 1}
  • id: 172033
    {'lmfdb_iso': '4730.d', 'p': 79, 'prec': 20, 'unit': 1127053459099683972442627831344667487, 'val': 1}
  • id: 172039
    {'lmfdb_iso': '4730.d', 'p': 89, 'prec': 20, 'unit': 5384493817620023542623943880436748843, '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: 29180
    {'Ciso': '4730k', 'Clabel': '4730k1', 'Cnumber': 1, 'abc_quality': 1.0231268804034592, 'absD': 360317791790000000, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 3080, 'ainvs': [1, -1, 1, -5582262, 5077966149], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 43], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 4730, 'degree': 219520, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4932317077383535936535959131', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 7], 'jinv': [-19237750463016353596082481, 360317791790000000], 'lmfdb_iso': '4730.d', 'lmfdb_label': '4730.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -5582262, 5077966149], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '440.2.0.?', '3080.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 20, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.98205730514920074385434858962', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 4, 55], [5, 6, 946], [7, 2, 43], [11, 12, 430], [43, 44, 110]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4932317077383535936535959131', 'prec': 100}, 'szpiro_ratio': 6.88030577877314, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}
  • id: 29181
    {'Ciso': '4730k', 'Clabel': '4730k2', 'Cnumber': 2, 'abc_quality': 1.0498548251503086, 'absD': 8127389307855235414199390, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 3080, 'ainvs': [1, -1, 1, 40144188, -96077802411], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 43], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 4730, 'degree': 1536640, 'elladic_images': ['7.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4661867822660102462062722848', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 3, 'isogeny_degrees': [1, 7], 'jinv': [7154705394529607961737582319, 8127389307855235414199390], 'lmfdb_iso': '4730.d', 'lmfdb_label': '4730.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 40144188, -96077802411], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.3'], 'modm_images': ['7.48.0-7.a.2.2', '440.2.0.?', '3080.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.8744011360444052069804401273', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 55], [5, 6, 946], [7, 2, 110], [11, 12, 430], [43, 44, 110]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.4661867822660102462062722848', 'prec': 100}, 'szpiro_ratio': 7.579767150102532, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}