Elliptic curve isogeny class data - 123200.t

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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, 0, 0, -1, 0, 1, 0, 1, 0, -4, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, -2, 0, -1, 1, -4, 0, 4, 0, 6, -10, 2, -12, -4, -6, -6, 6, 4, -4, 12, 4, 8, 12, 18, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 123200, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '123200.t', 'trace_hash': 1626887467110499996}
• lmfdb_iso 123200.t 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: 804356
    {'Ciso': '123200bf', 'Clabel': '123200bf4', 'Cnumber': 4, 'abc_quality': 0.9837574844145552, 'absD': 260876000000000000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [0, 1, 0, -41785633, -101033299137], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 123200, 'degree': 15925248, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2671021695244445684814528333', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1969902499564819009, 63690429687500], 'lmfdb_iso': '123200.t', 'lmfdb_label': '123200.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -26116, -1580604], 'min_quad_twist_disc': 40, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '28.6.0.c.1', '44.6.0.a.1', '84.24.0.?', '120.24.0.?', '132.24.0.?', '308.12.0.?', '840.48.0.?', '924.48.1.?', '1320.48.0.?', '9240.96.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4226624424674764170552249845', 'prec': 100}, 'szpiro_ratio': 5.48201508245681, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 804354
    {'Ciso': '123200bf', 'Clabel': '123200bf2', 'Cnumber': 2, 'abc_quality': 0.9548582709393486, 'absD': 212031733760000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [0, 1, 0, -5721633, 5219084863], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 123200, 'degree': 5308416, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7177960251903897227838302149', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [5057359576472449, 51765560000], 'lmfdb_iso': '123200.t', 'lmfdb_label': '123200.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3576, 81280], 'min_quad_twist_disc': 40, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '28.6.0.c.1', '44.6.0.a.1', '84.24.0.?', '120.24.0.?', '132.24.0.?', '308.12.0.?', '840.48.0.?', '924.48.1.?', '1320.48.0.?', '9240.96.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.87335629813342157135760236610', 'prec': 103}, 'szpiro_ratio': 4.973132937065887, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 804353
    {'Ciso': '123200bf', 'Clabel': '123200bf1', 'Cnumber': 1, 'abc_quality': 0.9728075796164264, 'absD': 17407619891200000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [0, 1, 0, -89633, 200972863], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 123200, 'degree': 2654208, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3712224349104170680752141541', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-19443408769, 4249907200], 'lmfdb_iso': '123200.t', 'lmfdb_label': '123200.t3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -56, 3136], 'min_quad_twist_disc': 40, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '14.6.0.b.1', '42.24.0.b.1', '44.6.0.b.1', '120.24.0.?', '132.24.0.?', '308.12.0.?', '840.48.0.?', '924.48.1.?', '1320.48.0.?', '9240.96.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52678270785344891664898630530', 'prec': 103}, 'szpiro_ratio': 4.415861422837995, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 804355
    {'Ciso': '123200bf', 'Clabel': '123200bf3', 'Cnumber': 3, 'abc_quality': 1.0075444572148093, 'absD': 12698549248000000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [0, 1, 0, 806367, -5414259137], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 123200, 'degree': 7962624, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9205285792444719137728367726', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [14156681599871, 3100231750000], 'lmfdb_iso': '123200.t', 'lmfdb_label': '123200.t4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 504, -84560], 'min_quad_twist_disc': 40, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '14.6.0.b.1', '42.24.0.b.1', '44.6.0.b.1', '120.24.0.?', '132.24.0.?', '308.12.0.?', '840.48.0.?', '924.48.1.?', '1320.48.0.?', '9240.96.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0760888521875037623466089238', 'prec': 100}, 'szpiro_ratio': 4.977820960052536, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}