Elliptic curve isogeny class data - 1225.e

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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, 1, -2, 0, 0, 0, 0, -2, 0, -3, -2, 5, 0, 0, 4, 3, 0, -2, 0], 'aplist': [0, 1, 0, 0, -3, 5, 3, -2, 6, 3, 4, -2, 12, 10, 9, -12, 0, -8, 4, 0, 2, -1, 12, 12, -1], 'class_deg': 9, 'class_size': 3, 'conductor': 1225, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '1225.e', 'trace_hash': 586242828473374160}
• lmfdb_iso 1225.e 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: 6511
    {'Ciso': '1225a', 'Clabel': '1225a3', 'Cnumber': 3, 'abc_quality': 1.0211201298201755, 'absD': 25132537841796875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 630, 'ainvs': [0, 1, 1, -160883, 25929019], 'analytic_rank': 0, 'bad_primes': [5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 1225, 'degree': 6912, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9051361543757115741607239400', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3, 9], 'jinv': [-250523582464, 13671875], 'lmfdb_iso': '1225.e', 'lmfdb_label': '1225.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -131, -650], 'min_quad_twist_disc': -35, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.2', '9.12.0.a.1', '18.24.0-9.a.1.2', '63.36.0.e.2', '70.2.0.a.1', '105.8.0.?', '126.72.0.?', '210.16.0.?', '315.72.0.?', '630.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[5, 18, 49], [7, 32, 25]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.12746212363100473430766790166', 'prec': 103}, 'szpiro_ratio': 6.703847782640383, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 6509
    {'Ciso': '1225a', 'Clabel': '1225a1', 'Cnumber': 1, 'abc_quality': 0.8871538351825968, 'absD': 64339296875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 630, 'ainvs': [0, 1, 1, -1633, -28731], 'analytic_rank': 0, 'bad_primes': [5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 1225, 'degree': 768, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.80652386570760188276547870305', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3, 9], 'jinv': [-262144, 35], 'lmfdb_iso': '1225.e', 'lmfdb_label': '1225.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -1, 0], 'min_quad_twist_disc': -35, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.1', '9.12.0.a.1', '18.24.0-9.a.1.1', '63.36.0.e.1', '70.2.0.a.1', '105.8.0.?', '126.72.0.?', '210.16.0.?', '315.72.0.?', '630.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[5, 18, 49], [7, 32, 25]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.97115016503710495708757733528', 'prec': 107}, 'szpiro_ratio': 4.783825748994121, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 6510
    {'Ciso': '1225a', 'Clabel': '1225a2', 'Cnumber': 2, 'abc_quality': 1.0649344898971125, 'absD': 78815638671875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 630, 'ainvs': [0, 1, 1, 10617, 75394], 'analytic_rank': 0, 'bad_primes': [5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 1225, 'degree': 2304, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3558300100416567284631013215', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3], 'jinv': [71991296, 42875], 'lmfdb_iso': '1225.e', 'lmfdb_label': '1225.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 9, 1], 'min_quad_twist_disc': -35, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '6.24.0-3.a.1.1', '63.36.0.b.1', '70.2.0.a.1', '105.24.0.?', '126.72.0.?', '210.48.1.?', '315.72.0.?', '630.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[5, 18, 49], [7, 32, 25]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42184402070305011138995471683', 'prec': 107}, 'szpiro_ratio': 5.544343826241955, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}