Elliptic curve isogeny class data - 138384.cm

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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, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, 2, 0, 0, -2, -6, -4, -8, 2, 0, -10, 6, 8, -8, -6, -12, 6, 12, 8, -10, -8, -8, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 138384, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '138384.cm', 'trace_hash': 864057967259463316}
• lmfdb_iso 138384.cm 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: 899950
    {'Ciso': '138384r', 'Clabel': '138384r4', 'Cnumber': 4, 'abc_quality': 1.0755914478549309, 'absD': 164304451067240448, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 744, 'ainvs': [0, 0, 0, -45761859, -119152619838], 'analytic_rank': 0, 'bad_primes': [2, 3, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 138384, 'degree': 5898240, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8513692416175387510416174273', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 64, 'isogeny_degrees': [1, 2, 4], 'jinv': [3999236143617, 62], 'lmfdb_iso': '138384.cm', 'lmfdb_label': '138384.cm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -331, 2397], 'min_quad_twist_disc': -372, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '12.12.0-4.c.1.2', '24.24.0-8.p.1.1', '248.24.0.?', '744.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 8649], [3, 6, 15376], [31, 512, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10807768551903452703781947489', 'prec': 107}, 'szpiro_ratio': 5.451228659369166, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 899949
    {'Ciso': '138384r', 'Clabel': '138384r3', 'Cnumber': 3, 'abc_quality': 1.1790775616093738, 'absD': 4894793901744160186368, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 744, 'ainvs': [0, 0, 0, -4246659, 123870978], 'analytic_rank': 0, 'bad_primes': [2, 3, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 138384, 'degree': 5898240, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8513692416175387510416174273', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 64, 'isogeny_degrees': [1, 2, 4], 'jinv': [3196010817, 1847042], 'lmfdb_iso': '138384.cm', 'lmfdb_label': '138384.cm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -31, 5], 'min_quad_twist_disc': -372, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '24.24.0-8.k.1.3', '248.24.0.?', '372.12.0.?', '744.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 8649], [3, 6, 15376], [31, 512, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10807768551903452703781947489', 'prec': 107}, 'szpiro_ratio': 4.848755002895337, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 899948
    {'Ciso': '138384r', 'Clabel': '138384r2', 'Cnumber': 2, 'abc_quality': 1.0250423431234554, 'absD': 10186875966168907776, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 744, 'ainvs': [0, 0, 0, -2862819, -1858064670], 'analytic_rank': 0, 'bad_primes': [2, 3, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 138384, 'degree': 2949120, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5047956513375660963330013665', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 64, 'isogeny_degrees': [1, 2], 'jinv': [979146657, 3844], 'lmfdb_iso': '138384.cm', 'lmfdb_label': '138384.cm3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -21, 41], 'min_quad_twist_disc': -372, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '12.12.0-2.a.1.1', '24.24.0-8.a.1.3', '124.12.0.?', '248.24.0.?', '372.24.0.?', '744.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 8649], [3, 6, 15376], [31, 512, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.45465127579900718174643553569', 'prec': 107}, 'szpiro_ratio': 4.748822710952112, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 899947
    {'Ciso': '138384r', 'Clabel': '138384r1', 'Cnumber': 1, 'abc_quality': 0.9309010010327436, 'absD': 1314435608537923584, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 744, 'ainvs': [0, 0, 0, -95139, -56304990], 'analytic_rank': 0, 'bad_primes': [2, 3, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 138384, 'degree': 1474560, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1582220610575934416243853058', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 64, 'isogeny_degrees': [1, 2, 4], 'jinv': [-35937, 496], 'lmfdb_iso': '138384.cm', 'lmfdb_label': '138384.cm4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, 1], 'min_quad_twist_disc': -372, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '12.12.0-4.c.1.1', '24.24.0-8.p.1.3', '62.6.0.b.1', '124.12.0.?', '248.24.0.?', '372.24.0.?', '744.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 8649], [3, 6, 15376], [31, 512, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80122486607897983645505159639', 'prec': 107}, 'szpiro_ratio': 4.157511030975413, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}