Elliptic curve isogeny class data - 388080.mt

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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, 1, 0, -2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, 1, 0, 1, -2, -2, 4, 0, 2, 0, -2, -6, 0, -8, 2, -4, 10, -4, 0, -14, -16, 0, 10, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 388080, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '388080.mt', 'trace_hash': 918852845502894310}
• lmfdb_iso 388080.mt 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: 2413365
    {'Ciso': '388080mt', 'Clabel': '388080mt3', 'Cnumber': 3, 'abc_quality': 0.980529807869572, 'absD': 43473131412480, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -4657107, 3868320386], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 388080, 'degree': 4718592, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2530831745077607256728262523', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 331, 'isogeny_degrees': [1, 2, 4], 'jinv': [127191074376964, 495], 'lmfdb_iso': '388080.mt', 'lmfdb_label': '388080.mt1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -10560, -414180], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.z.1', '88.12.0.?', '168.12.0.?', '220.12.0.?', '420.12.0.?', '440.24.0.?', '840.24.0.?', '924.12.0.?', '1848.24.0.?', '4620.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.0716229991224901124013224427', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 24255], [3, 8, 43120], [5, 6, 77616], [7, 26, 7920], [11, 12, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15319930517942813624150049423', 'prec': 103}, 'szpiro_ratio': 4.481736490521695, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2413364
    {'Ciso': '388080mt', 'Clabel': '388080mt2', 'Cnumber': 2, 'abc_quality': 0.919207014677319, 'absD': 5379800012294400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4620, 'ainvs': [0, 0, 0, -291207, 60382406], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 388080, 'degree': 2359296, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9065095842277880709642101916', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 331, 'isogeny_degrees': [1, 2], 'jinv': [124386546256, 245025], 'lmfdb_iso': '388080.mt', 'lmfdb_label': '388080.mt2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -660, -6300], 'min_quad_twist_disc': -84, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0.b.1', '44.12.0.b.1', '84.12.0.?', '220.24.0.?', '420.24.0.?', '924.24.0.?', '4620.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5358114995612450562006612214', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 43120], [5, 6, 77616], [7, 26, 7920], [11, 12, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.077849755007220300230910212889', 'prec': 110}, 'szpiro_ratio': 3.8355038726706017, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2413366
    {'Ciso': '388080mt', 'Clabel': '388080mt4', 'Cnumber': 4, 'abc_quality': 0.9564905462634501, 'absD': 3961489099962240000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -194187, 101266634], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 388080, 'degree': 4718592, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2530831745077607256728262523', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 331, 'isogeny_degrees': [1, 2, 4], 'jinv': [-9220796644, 45106875], 'lmfdb_iso': '388080.mt', 'lmfdb_label': '388080.mt3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -440, -10788], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '22.6.0.a.1', '40.12.0.z.1', '44.12.0.g.1', '84.12.0.?', '440.24.0.?', '840.24.0.?', '924.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2679057497806225281003306107', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 4851], [3, 8, 43120], [5, 6, 77616], [7, 26, 7920], [11, 12, 35280]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15319930517942813624150049423', 'prec': 103}, 'szpiro_ratio': 3.915596446969178, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2413363
    {'Ciso': '388080mt', 'Clabel': '388080mt1', 'Cnumber': 1, 'abc_quality': 0.9961187021519664, 'absD': 904105279843920, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -24402, 244559], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 388080, 'degree': 1179648, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5599359939478154162555941309', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 331, 'isogeny_degrees': [1, 2, 4], 'jinv': [1171019776, 658845], 'lmfdb_iso': '388080.mt', 'lmfdb_label': '388080.mt4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -55, -8], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '10.6.0.a.1', '20.12.0.g.1', '84.12.0.?', '88.12.0.?', '420.24.0.?', '440.24.0.?', '1848.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.0716229991224901124013224427', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2205], [3, 8, 43120], [5, 6, 77616], [7, 26, 7920], [11, 12, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19337428510054451846711556644', 'prec': 107}, 'szpiro_ratio': 3.257515919131194, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}