Elliptic curve isogeny class data - 411840.if

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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, 1, 0, -2, 0, 0, 0, -1, 0, 1, 0, 0, 0, -4, 0, -2, 0], 'aplist': [0, 0, 1, -2, -1, 1, -4, -2, -6, -4, 8, -2, -2, -12, 0, 2, 4, 10, 8, -16, -8, 0, -4, -6, 4], 'class_deg': 2, 'class_size': 2, 'conductor': 411840, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '411840.if', 'trace_hash': 1404320587593901601}
• lmfdb_iso 411840.if does not appear in ec_padic
• 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: 2552132
    {'Ciso': '411840if', 'Clabel': '411840if2', 'Cnumber': 2, 'abc_quality': 1.0229491064938572, 'absD': 341657119061528625272586240, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -180237612, -276682436656], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 411840, 'degree': 115605504, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7828948483657225077955563699', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 213, 'isogeny_degrees': [1, 2], 'jinv': [3388383326345613179401, 1787816842064922240], 'lmfdb_iso': '411840.if', 'lmfdb_label': '411840.if1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -312912, -20145024], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '156.6.0.?', '1560.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.7501937778799278207461021500', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 45], [3, 8, 3520], [5, 6, 82368], [11, 12, 37440], [13, 14, 31680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1938679331917496979720855693', 'prec': 100}, 'szpiro_ratio': 5.309474866385343, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2552131
    {'Ciso': '411840if', 'Clabel': '411840if1', 'Cnumber': 1, 'abc_quality': 1.0096489792942698, 'absD': 5506516930145791927910400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [0, 0, 0, 42789588, -33761210416], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 411840, 'degree': 57802752, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4363212580857498530869403092', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 213, 'isogeny_degrees': [1, 2], 'jinv': [45338857965533777399, 28814396538470400], 'lmfdb_iso': '411840.if', 'lmfdb_label': '411840.if2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 74288, -2411264], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '78.6.0.?', '1560.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8750968889399639103730510750', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 8, 3520], [5, 6, 82368], [11, 12, 37440], [13, 14, 31680]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8472943429117770432634695086', 'prec': 100}, 'szpiro_ratio': 4.975794983016726, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}