Elliptic curve isogeny class data - 458640.bc

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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, 0, 0, 0, 0, -4, 0, 1, 0, 0, 0, -2, 0, 8, 0], 'aplist': [0, 0, -1, 0, -4, 1, -2, 8, -4, 2, 4, 2, 6, 8, -8, -6, 0, -6, -4, 8, -6, 8, -12, -2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 458640, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '458640.bc', 'trace_hash': 1752906710192976607}
• lmfdb_iso 458640.bc 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: 2823418
    {'Ciso': '458640bc', 'Clabel': '458640bc3', 'Cnumber': 3, 'abc_quality': 1.065112329679351, 'absD': 500065901456748046875000000000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -2335183083723, 853785517389683578], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 458640, 'degree': 15854469120, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '6.1267082951184740583625472741', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4], 'jinv': [4008766897254067912673785886329, 1423480510711669921875000000], 'lmfdb_iso': '458640.bc', 'lmfdb_label': '458640.bc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -330949984, -1440519827218], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '280.12.0.?', '364.12.0.?', '520.12.0.?', '840.24.0.?', '1092.24.0.?', '1560.24.0.?', '3640.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '188.18528683794222916570459335', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 5733], [3, 8, 50960], [5, 6, 91728], [7, 32, 1872], [13, 14, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.9112998956968172506950161625', 'prec': 100}, 'szpiro_ratio': 7.444828315006389, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2823417
    {'Ciso': '458640bc', 'Clabel': '458640bc2', 'Cnumber': 2, 'abc_quality': 1.0531819645075955, 'absD': 3130679325157258723430400000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5460, 'ainvs': [0, 0, 0, -987089689803, -367745902903640198], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 458640, 'degree': 7927234560, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.7801347048385014036539312134', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2], 'jinv': [302773487204995438715379645049, 8911747415025000000000000], 'lmfdb_iso': '458640.bc', 'lmfdb_label': '458640.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -139893664, 620442907886], 'min_quad_twist_disc': -84, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '140.12.0.?', '260.12.0.?', '364.12.0.?', '420.24.0.?', '780.24.0.?', '1092.24.0.?', '1820.24.0.?', '5460.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '94.092643418971114582852296676', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 50960], [5, 6, 91728], [7, 32, 1872], [13, 14, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.5647263054168445959864001018', 'prec': 100}, 'szpiro_ratio': 7.246665544835174, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2823416
    {'Ciso': '458640bc', 'Clabel': '458640bc1', 'Cnumber': 1, 'abc_quality': 1.052714565604007, 'absD': 94295548871975888077455360000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -980008852683, -373415870481973382], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 458640, 'degree': 3963617280, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.4335611145585287489453151526', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4], 'jinv': [296304326013275547793071733369, 268420373544960000000], 'lmfdb_iso': '458640.bc', 'lmfdb_label': '458640.bc3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -138890144, 630009263342], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '130.6.0.?', '260.12.0.?', '280.12.0.?', '420.12.0.?', '728.12.0.?', '840.24.0.?', '1092.12.0.?', '1560.24.0.?', '2184.24.0.?', '3640.24.0.?', '5460.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '188.18528683794222916570459335', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 28665], [3, 8, 50960], [5, 6, 91728], [7, 32, 1872], [13, 14, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2181527151368719412777840410', 'prec': 100}, 'szpiro_ratio': 7.245008758259289, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2823419
    {'Ciso': '458640bc', 'Clabel': '458640bc4', 'Cnumber': 4, 'abc_quality': 1.0927873585724972, 'absD': 650724743632476078837224457154560000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [0, 0, 0, 247710310197, -1226399398183640198], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 458640, 'degree': 15854469120, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '6.1267082951184740583625472741', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4], 'jinv': [4784981304203817469820354951, 1852343836482910078035000000], 'lmfdb_iso': '458640.bc', 'lmfdb_label': '458640.bc4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 35106336, 2069162907886], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '70.6.0.a.1', '140.12.0.?', '420.24.0.?', '520.12.0.?', '728.12.0.?', '1560.24.0.?', '2184.24.0.?', '3640.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '47.046321709485557291426148338', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2205], [3, 8, 50960], [5, 6, 91728], [7, 32, 1872], [13, 14, 35280]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.9112998956968172506950161625', 'prec': 100}, 'szpiro_ratio': 7.427448527785793, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}