Elliptic curve isogeny class data - 38720.da

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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, 2, 0, -1, 0, 4, 0, 1, 0, 0, 0, -4, 0, -2, 0, 0, 0, -4, 0], 'aplist': [0, 2, -1, 4, 0, -4, 0, -4, -6, -6, 8, -2, -6, 8, 6, 6, 12, 2, 10, -12, 16, -8, 0, 6, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 38720, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '38720.da', 'trace_hash': 1343982346691267011}
• lmfdb_iso 38720.da 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: 257549
    {'Ciso': '38720q', 'Clabel': '38720q4', 'Cnumber': 4, 'abc_quality': 0.9734387724171747, 'absD': 965815374233600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -3436561, 2453222961], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 38720, 'degree': 829440, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2599715126845411420697902144', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 78, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [154639330142416, 33275], 'lmfdb_iso': '38720.da', 'lmfdb_label': '38720.da1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7100, -232652], 'min_quad_twist_disc': -88, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '20.6.0.c.1', '24.24.0-6.a.1.4', '44.6.0.a.1', '60.24.0.q.1', '120.48.0.?', '132.24.0.?', '220.12.0.?', '264.48.0.?', '660.48.1.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 121], [5, 6, 7744], [11, 72, 320]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25235216563208634238538095038', 'prec': 103}, 'szpiro_ratio': 5.373243983777033, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 257548
    {'Ciso': '38720q', 'Clabel': '38720q3', 'Cnumber': 3, 'abc_quality': 1.026119420484522, 'absD': 16068753288811520, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -215541, 38102165], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 38720, 'degree': 414720, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9133979224045684873611741537', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 78, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [610462990336, 8857805], 'lmfdb_iso': '38720.da', 'lmfdb_label': '38720.da2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -445, -3720], 'min_quad_twist_disc': -88, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '24.24.0-6.a.1.15', '30.24.0.a.1', '44.6.0.b.1', '120.48.0.?', '132.24.0.?', '220.12.0.?', '264.48.0.?', '660.48.1.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 605], [5, 6, 7744], [11, 72, 320]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13682763553876212414917559684', 'prec': 103}, 'szpiro_ratio': 4.586881420108604, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 257547
    {'Ciso': '38720q', 'Clabel': '38720q2', 'Cnumber': 2, 'abc_quality': 0.8781924989889901, 'absD': 4988715776000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -48561, 2343761], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 38720, 'degree': 276480, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7106653683504862963721675959', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 78, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [436334416, 171875], 'lmfdb_iso': '38720.da', 'lmfdb_label': '38720.da3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -100, -252], 'min_quad_twist_disc': -88, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '20.6.0.c.1', '24.24.0-6.a.1.12', '44.6.0.a.1', '60.24.0.q.1', '120.48.0.?', '132.24.0.?', '220.12.0.?', '264.48.0.?', '660.48.1.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 2, 7744], [5, 6, 7744], [11, 72, 320]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29695397870196850331224166812', 'prec': 107}, 'szpiro_ratio': 4.163658392736569, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 257546
    {'Ciso': '38720q', 'Clabel': '38720q1', 'Cnumber': 1, 'abc_quality': 0.9670463504502834, 'absD': 27437936768000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -21941, -1217995], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 38720, 'degree': 138240, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3640917780705136416635515352', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 78, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [643956736, 15125], 'lmfdb_iso': '38720.da', 'lmfdb_label': '38720.da4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -45, 100], 'min_quad_twist_disc': -88, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '24.24.0-6.a.1.7', '30.24.0.a.1', '44.6.0.b.1', '120.48.0.?', '132.24.0.?', '220.12.0.?', '264.48.0.?', '660.48.1.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 605], [3, 2, 7744], [5, 6, 7744], [11, 72, 320]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41247850879529272154844702166', 'prec': 107}, 'szpiro_ratio': 3.9380486831362522, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}