Elliptic curve isogeny class data - 315.b

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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, 0, -2, 1, 0, 1, 0, 0, 0, 3, 0, 5, 0, 0, 4, -3, 0, 2, -2], 'aplist': [0, 0, 1, 1, 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': 315, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '315.b', 'trace_hash': 67422632030211171}
• lmfdb_iso 315.b 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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 1237
    {'Ciso': '315a', 'Clabel': '315a3', 'Cnumber': 3, 'abc_quality': 1.0211201298201755, 'absD': 9966796875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 630, 'ainvs': [0, 0, 1, -1182, 16362], 'analytic_rank': 0, 'bad_primes': [3, 5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 315, 'degree': 180, 'elladic_images': ['9.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.67676826796505958000529052010', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3, 9], 'jinv': [-250523582464, 13671875], 'lmfdb_iso': '315.b', 'lmfdb_label': '315.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -131, -650], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '9.24.0-9.a.1.2', '63.72.0-63.e.2.4', '70.2.0.a.1', '210.16.0.?', '630.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 6, 7], [5, 6, 63], [7, 8, 45]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.12746212363100473430766790164', 'prec': 103}, 'szpiro_ratio': 5.724153673069588, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
  • id: 1235
    {'Ciso': '315a', 'Clabel': '315a1', 'Cnumber': 1, 'abc_quality': 0.8871538351825968, 'absD': 25515, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 630, 'ainvs': [0, 0, 1, -12, -18], 'analytic_rank': 0, 'bad_primes': [3, 5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 315, 'degree': 20, 'elladic_images': ['9.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.42184402070305011138995471682', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3, 9], 'jinv': [-262144, 35], 'lmfdb_iso': '315.b', 'lmfdb_label': '315.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -1, 0], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '9.24.0-9.a.1.1', '63.72.0-63.e.1.1', '70.2.0.a.1', '210.16.0.?', '630.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 2, 35], [5, 6, 63], [7, 8, 45]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.97115016503710495708757733528', 'prec': 107}, 'szpiro_ratio': 3.350834101485778, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 1236
    {'Ciso': '315a', 'Clabel': '315a2', 'Cnumber': 2, 'abc_quality': 1.0649344898971125, 'absD': 31255875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 630, 'ainvs': [0, 0, 1, 78, 45], 'analytic_rank': 0, 'bad_primes': [3, 5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 315, 'degree': 60, 'elladic_images': ['3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.12746212363100473430766790164', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [71991296, 42875], 'lmfdb_iso': '315.b', 'lmfdb_label': '315.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 9, 1], 'min_quad_twist_disc': -3, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '63.72.0-63.b.1.1', '70.2.0.a.1', '210.48.1.?', '630.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 2, 1], [5, 6, 63], [7, 8, 45]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42184402070305011138995471682', 'prec': 107}, 'szpiro_ratio': 4.29090270780684, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}