Elliptic curve isogeny class data - 3234.n

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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, 1, 1, 2, -1, 0, -1, 1, -2, 1, 1, -2, 0, 2, 1, 6, -1, 4, 2], 'aplist': [-1, 1, 2, 0, 1, -2, 6, 4, -4, 2, 4, -2, 6, 0, 8, -14, -12, 14, 4, 12, -6, 0, 0, 6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 3234, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '3234.n', 'trace_hash': 1974766823220907331}
• lmfdb_iso 3234.n 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 19384
    {'Ciso': '3234n', 'Clabel': '3234n4', 'Cnumber': 4, 'abc_quality': 0.9493319727776763, 'absD': 72344958378, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [1, 0, 1, -11100, 448984], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3234, 'degree': 6144, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0386156699564463371408107685', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [1285429208617, 614922], 'lmfdb_iso': '3234.n', 'lmfdb_label': '3234.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -226, -1406], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '56.12.0-4.c.1.2', '88.12.0.?', '168.24.0.?', '264.24.0.?', '616.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, '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, 4, 1078], [7, 32, 66], [11, 12, 294]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.065660595428789684588134396778', 'prec': 107}, 'szpiro_ratio': 4.894845865496143, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 19383
    {'Ciso': '3234n', 'Clabel': '3234n3', 'Cnumber': 3, 'abc_quality': 0.9368058527651448, 'absD': 503370893718, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [1, 0, 1, -6200, -185272], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3234, 'degree': 6144, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0386156699564463371408107685', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [223980311017, 4278582], 'lmfdb_iso': '3234.n', 'lmfdb_label': '3234.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -126, 486], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '56.12.0-4.c.1.1', '88.12.0.?', '168.24.0.?', '264.24.0.?', '308.12.0.?', '616.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 539], [3, 4, 1078], [7, 32, 66], [11, 12, 294]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.065660595428789684588134396778', 'prec': 107}, 'szpiro_ratio': 4.678636597185282, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 19382
    {'Ciso': '3234n', 'Clabel': '3234n2', 'Cnumber': 2, 'abc_quality': 0.904080088400946, 'absD': 25111473156, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [1, 0, 1, -810, 4456], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3234, 'degree': 3072, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.69204207967647368243219470773', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [498677257, 213444], 'lmfdb_iso': '3234.n', 'lmfdb_label': '3234.n3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -16, -20], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '56.12.0-2.a.1.1', '88.12.0.?', '168.24.0.?', '264.24.0.?', '308.12.0.?', '616.24.0.?', '924.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 49], [3, 4, 1078], [7, 32, 66], [11, 12, 294]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28091299485118297012048166399', 'prec': 107}, 'szpiro_ratio': 3.9229138742348675, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 19381
    {'Ciso': '3234n', 'Clabel': '3234n1', 'Cnumber': 1, 'abc_quality': 0.8499917728489924, 'absD': 434830704, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [1, 0, 1, 170, 536], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3234, 'degree': 1536, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.34546848939650102772357864700', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [4657463, 3696], 'lmfdb_iso': '3234.n', 'lmfdb_label': '3234.n4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 4, 0], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '56.12.0-4.c.1.4', '88.12.0.?', '168.24.0.?', '264.24.0.?', '308.12.0.?', '462.6.0.?', '616.24.0.?', '924.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1617], [3, 4, 1078], [7, 32, 66], [11, 12, 294]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.62748658513115562482909772472', 'prec': 107}, 'szpiro_ratio': 3.3446174364629058, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}