Elliptic curve isogeny class data - 162450.ch

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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, 4, -1, 0, 0, 0, 0, -4, -4, 0, 1, 6, 0, 0, 0], 'aplist': [-1, 0, 0, 4, 0, -4, 6, 0, -6, 6, -2, -4, 6, 4, 6, -6, -12, 14, 8, 0, -14, 10, -12, -6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 162450, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '162450.ch', 'trace_hash': 238419972095219877}
• lmfdb_iso 162450.ch 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 1051797
    {'Ciso': '162450ei', 'Clabel': '162450ei3', 'Cnumber': 3, 'abc_quality': 1.0077462703550282, 'absD': 44107374690167062500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2280, 'ainvs': [1, -1, 0, -34765992, -78891216084], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 162450, 'degree': 14929920, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9317466360844280141278435703', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [8671983378625, 82308], 'lmfdb_iso': '162450.ch', 'lmfdb_label': '162450.ch1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -428, -3444], 'min_quad_twist_disc': 285, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '24.24.0.bx.1', '30.24.0-6.a.1.4', '114.24.0.?', '120.48.0.?', '285.8.0.?', '456.48.1.?', '570.48.0.?', '2280.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.113165650061831550598091121', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.10550204595010275112532756928', 'prec': 103}, 'szpiro_ratio': 5.3096672065442, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1051798
    {'Ciso': '162450ei', 'Clabel': '162450ei4', 'Cnumber': 4, 'abc_quality': 1.0101536552434738, 'absD': 453798724499783822531250, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2280, 'ainvs': [1, -1, 0, -33953742, -82753464834], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 162450, 'degree': 29859840, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2783202263644006688364596310', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-8078253774625, 846825858], 'lmfdb_iso': '162450.ch', 'lmfdb_label': '162450.ch2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -418, -3610], 'min_quad_twist_disc': 285, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '24.24.0.p.1', '60.24.0-6.a.1.9', '120.48.0.?', '228.24.0.?', '285.8.0.?', '456.48.1.?', '570.24.0.?', '1140.48.0.?', '2280.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '26.226331300123663101196182243', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.45207563623007540583394362998', 'prec': 103}, 'szpiro_ratio': 5.317631816852184, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1051795
    {'Ciso': '162450ei', 'Clabel': '162450ei1', 'Cnumber': 1, 'abc_quality': 1.047658380732593, 'absD': 17594077438737000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2280, 'ainvs': [1, -1, 0, -651492, 15622416], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 162450, 'degree': 4976640, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3824404917503731684302209519', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [57066625, 32832], 'lmfdb_iso': '162450.ch', 'lmfdb_label': '162450.ch3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8, 0], 'min_quad_twist_disc': 285, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '24.24.0.bx.1', '30.24.0-6.a.1.3', '114.24.0.?', '120.48.0.?', '285.8.0.?', '456.48.1.?', '570.48.0.?', '2280.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3710552166872771835326970404', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44380409838395209457229504912', 'prec': 107}, 'szpiro_ratio': 4.315229483733205, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1051796
    {'Ciso': '162450ei', 'Clabel': '162450ei2', 'Cnumber': 2, 'abc_quality': 1.073456431344882, 'absD': 1128220215759010125000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2280, 'ainvs': [1, -1, 0, 2597508, 122839416], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 162450, 'degree': 9953280, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7290140820303458231388370126', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [3616805375, 2105352], 'lmfdb_iso': '162450.ch', 'lmfdb_label': '162450.ch4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 32, 8], 'min_quad_twist_disc': 285, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '24.24.0.p.1', '60.24.0-6.a.1.5', '120.48.0.?', '228.24.0.?', '285.8.0.?', '456.48.1.?', '570.24.0.?', '1140.48.0.?', '2280.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.7421104333745543670653940809', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.097230508103979439863678988418', 'prec': 110}, 'szpiro_ratio': 4.661044083104458, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}