Elliptic curve isogeny class data - 487305.cx

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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, 0, -1, -1, 0, 0, -3, 0, -1, 0, 0, -1, 0, 0, -1, 1, 0, -4, 1], 'aplist': [1, 0, -1, 0, 0, -1, 1, -4, -8, 2, -4, 2, -2, -4, -8, 10, 12, 2, 4, 4, 2, 8, 12, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 487305, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '487305.cx', 'trace_hash': 1711103878394156237}
• lmfdb_iso 487305.cx 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: 2991057
    {'Ciso': '487305cx', 'Clabel': '487305cx4', 'Cnumber': 4, 'abc_quality': 0.952223151230379, 'absD': 20952571161719925, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 37128, 'ainvs': [1, -1, 0, -6882255, -6947627324], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 487305, 'degree': 9437184, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4564226567384326853791333903', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 75, 'isogeny_degrees': [1, 2, 4], 'jinv': [420339554066191969, 244298925], 'lmfdb_iso': '487305.cx', 'lmfdb_label': '487305.cx1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -15606, -751689], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '26.6.0.b.1', '52.12.0.g.1', '84.12.0.?', '136.12.0.?', '1092.24.0.?', '1768.24.0.?', '2856.24.0.?', '37128.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5733], [3, 8, 54145], [5, 6, 97461], [7, 26, 9945], [13, 14, 37485], [17, 18, 28665]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.93416143787672118712883440012', 'prec': 103}, 'szpiro_ratio': 4.493286003320183, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2991055
    {'Ciso': '487305cx', 'Clabel': '487305cx2', 'Cnumber': 2, 'abc_quality': 1.1569603776083688, 'absD': 212063220235400625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 18564, 'ainvs': [1, -1, 0, -432630, -107155049], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 487305, 'degree': 4718592, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1098490664584600306705173296', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 75, 'isogeny_degrees': [1, 2], 'jinv': [104413920565969, 2472575625], 'lmfdb_iso': '487305.cx', 'lmfdb_label': '487305.cx2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -981, -11664], 'min_quad_twist_disc': 21, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '52.12.0.b.1', '68.12.0.b.1', '84.12.0.?', '884.24.0.?', '1092.24.0.?', '1428.24.0.?', '18564.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 54145], [5, 6, 97461], [7, 26, 9945], [13, 14, 37485], [17, 18, 28665]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58758784759674853242021833942', 'prec': 103}, 'szpiro_ratio': 3.859501182077428, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2991054
    {'Ciso': '487305cx', 'Clabel': '487305cx1', 'Cnumber': 1, 'abc_quality': 0.9481038699028488, 'absD': 9369590645694825, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 37128, 'ainvs': [1, -1, 0, -59985, 3222400], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 487305, 'degree': 2359296, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7632754761784873759619012689', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 75, 'isogeny_degrees': [1, 2, 4], 'jinv': [278317173889, 109245825], 'lmfdb_iso': '487305.cx', 'lmfdb_label': '487305.cx3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -136, 335], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '34.6.0.a.1', '68.12.0.g.1', '84.12.0.?', '104.12.0.?', '1428.24.0.?', '1768.24.0.?', '2184.24.0.?', '37128.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 7497], [3, 8, 54145], [5, 6, 97461], [7, 26, 9945], [13, 14, 37485], [17, 18, 28665]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.24101425731677587771160227872', 'prec': 103}, 'szpiro_ratio': 3.4069152956776736, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2991056
    {'Ciso': '487305cx', 'Clabel': '487305cx3', 'Cnumber': 3, 'abc_quality': 0.9933257523075025, 'absD': 48577830427226953125, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 37128, 'ainvs': [1, -1, 0, 54675, -335311250], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 487305, 'degree': 9437184, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4564226567384326853791333903', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 75, 'isogeny_degrees': [1, 2, 4], 'jinv': [210751100351, 566398828125], 'lmfdb_iso': '487305.cx', 'lmfdb_label': '487305.cx4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 124, -36195], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '104.12.0.?', '136.12.0.?', '168.12.0.?', '884.12.0.?', '1092.12.0.?', '1428.12.0.?', '1768.24.0.?', '2184.24.0.?', '2856.24.0.?', '18564.24.0.?', '37128.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 97461], [3, 8, 54145], [5, 6, 97461], [7, 26, 9945], [13, 14, 37485], [17, 18, 28665]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.93416143787672118712883440012', 'prec': 103}, 'szpiro_ratio': 4.030360566449171, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}