Elliptic curve isogeny class data - 16758.g

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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, 0, 0, 0, -1, 0, 0, -6, 0, -2, 0, 0, 1, 0, 0, -1, 0], 'aplist': [-1, 0, 0, 0, -6, -2, 0, -1, 6, -6, -8, -10, -6, -4, 6, -6, 12, -2, -4, 0, -2, -4, 6, -6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 16758, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '16758.g', 'trace_hash': 1218248809872998368}
• lmfdb_iso 16758.g 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: 110371
    {'Ciso': '16758b', 'Clabel': '16758b3', 'Cnumber': 3, 'abc_quality': 1.0136201352130507, 'absD': 13057388061016197169152, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1596, 'ainvs': [1, -1, 0, -7457172, -5584724272], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 16758, 'degree': 1327104, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9503052840128110357360777802', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [19804628171203875, 5638671302656], 'lmfdb_iso': '16758.g', 'lmfdb_label': '16758.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -152187, 16325477], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.j.1', '21.8.0-3.a.1.2', '42.24.0-6.a.1.4', '76.6.0.?', '84.48.0.?', '114.24.0.?', '228.48.1.?', '798.48.0.?', '1596.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2793], [3, 2, 49], [7, 32, 342], [19, 20, 882]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1533909929840721146369674808', 'prec': 100}, 'szpiro_ratio': 6.074833447469177, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 110369
    {'Ciso': '16758b', 'Clabel': '16758b1', 'Cnumber': 1, 'abc_quality': 1.0737625761627996, 'absD': 1817748565532928, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1596, 'ainvs': [1, -1, 0, -6844917, -6891163595], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 16758, 'degree': 442368, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4009991396787561900384551617', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [11165451838341046875, 572244736], 'lmfdb_iso': '16758.g', 'lmfdb_label': '16758.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -139692, 20130768], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.j.1', '21.8.0-3.a.1.1', '42.24.0-6.a.1.3', '76.6.0.?', '84.48.0.?', '114.24.0.?', '228.48.1.?', '798.48.0.?', '1596.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2793], [3, 6, 1862], [7, 32, 342], [19, 20, 882]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1533909929840721146369674807', 'prec': 100}, 'szpiro_ratio': 6.0484101406885245, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 110370
    {'Ciso': '16758b', 'Clabel': '16758b2', 'Cnumber': 2, 'abc_quality': 1.0300193263247077, 'absD': 253954357421330342448, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1596, 'ainvs': [1, -1, 0, -6833157, -6916031291], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 16758, 'degree': 884736, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7475727299587288447470712224', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-11108001800138902875, 79947274872976], 'lmfdb_iso': '16758.g', 'lmfdb_label': '16758.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -139452, 20203200], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0.b.1', '21.8.0-3.a.1.1', '42.48.0-6.b.1.1', '76.6.0.?', '228.48.1.?', '1596.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 147], [3, 6, 1862], [7, 32, 342], [19, 20, 882]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4999645832640447693455835414', 'prec': 100}, 'szpiro_ratio': 6.049150536374984, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 110372
    {'Ciso': '16758b', 'Clabel': '16758b4', 'Cnumber': 4, 'abc_quality': 1.0355822640189527, 'absD': 1071403957718504570990592, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1596, 'ainvs': [1, -1, 0, 19637868, -36857819440], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 16758, 'degree': 2654208, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2968788742927836904446938409', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [361682234074684125, 462672528510976], 'lmfdb_iso': '16758.g', 'lmfdb_label': '16758.g4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 400773, 107342693], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0.b.1', '21.8.0-3.a.1.2', '42.48.0-6.b.1.2', '76.6.0.?', '228.48.1.?', '1596.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 147], [3, 2, 49], [7, 32, 342], [19, 20, 882]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4999645832640447693455835415', 'prec': 100}, 'szpiro_ratio': 6.39312277332103, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}