Elliptic curve isogeny class data - 3234.r

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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, 4, 0, -2, 1, 6, 1, 2, 2], 'aplist': [1, -1, 2, 0, 1, 4, 6, 2, 0, -6, 2, 2, -2, -12, -6, 10, 8, 4, 0, -8, 6, 12, 6, -12, 0], 'class_deg': 2, 'class_size': 2, 'conductor': 3234, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3234.r', 'trace_hash': 860559308438942810}
• lmfdb_iso 3234.r 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: 19394
    {'Ciso': '3234q', 'Clabel': '3234q2', 'Cnumber': 2, 'abc_quality': 1.1312493218569715, 'absD': 30195350250823296, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 616, 'ainvs': [1, 1, 1, -2570492, -1587302179], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3234, 'degree': 75264, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2950804843514194788949783505', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2], 'jinv': [46546832455691959, 748268928], 'lmfdb_iso': '3234.r', 'lmfdb_label': '3234.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -52459, 4620209], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '88.6.0.?', '616.12.0.?'], '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, 77], [3, 4, 1078], [7, 20, 33], [11, 12, 294]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.83564787255993450006596379292', 'prec': 97}, 'szpiro_ratio': 6.916116972973272, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 19393
    {'Ciso': '3234q', 'Clabel': '3234q1', 'Cnumber': 1, 'abc_quality': 0.998022530489296, 'absD': 58319688824635392, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 616, 'ainvs': [1, 1, 1, -155772, -26427171], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3234, 'degree': 37632, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9485068940714468241863622898', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2], 'jinv': [-10358806345399, 1445216256], 'lmfdb_iso': '3234.r', 'lmfdb_label': '3234.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3179, 76593], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '88.6.0.?', '616.12.0.?'], '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, 7], [3, 4, 1078], [7, 20, 33], [11, 12, 294]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.48907428227996184535734773222', 'prec': 97}, 'szpiro_ratio': 5.902144564147829, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}