Elliptic curve isogeny class data - 356928.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, 0, -1, 0, -2, 0, -2, 0, 1, 0, 1, 0, 0, 0, 2, 0, -2, 0, -2, 0], 'aplist': [0, -1, -2, -2, 1, 0, -2, -2, -8, -6, 2, 4, 2, -12, 0, 2, 0, -2, -10, -12, 8, 16, 0, -10, 4], 'class_deg': 2, 'class_size': 2, 'conductor': 356928, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '356928.r', 'trace_hash': 1912903402040241344}
• lmfdb_iso 356928.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
  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: 2228950
    {'Ciso': '356928r', 'Clabel': '356928r1', 'Cnumber': 1, 'abc_quality': 0.926955333830019, 'absD': 198446257152, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, -1, 0, -1629, 14013], 'analytic_rank': 2, 'bad_primes': [2, 3, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 356928, 'degree': 331776, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.86506069027016621768436585405', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2], 'jinv': [212629504, 88209], 'lmfdb_iso': '356928.r', 'lmfdb_label': '356928.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -407, -1548], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.f.1', '26.6.0.b.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.6647660529567924172322988257', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 13], [3, 4, 118976], [11, 12, 32448], [13, 50, 2112]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.35379929956183905751003277422', 'prec': 107}, 'szpiro_ratio': 2.64377134675477, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2228951
    {'Ciso': '356928r', 'Clabel': '356928r2', 'Cnumber': 2, 'abc_quality': 0.906252342038268, 'absD': 14229331623936, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, -1, 0, 5391, 96849], 'analytic_rank': 2, 'bad_primes': [2, 3, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 356928, 'degree': 663552, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2116342805501388723929819148', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2], 'jinv': [481283696, 395307], 'lmfdb_iso': '356928.r', 'lmfdb_label': '356928.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 1348, -12780], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.f.1', '52.6.0.c.1', '78.6.0.?', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 15, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.6647660529567924172322988257', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 39], [3, 4, 118976], [11, 12, 32448], [13, 50, 2112]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23827476946851483927382742062', 'prec': 107}, 'szpiro_ratio': 2.9245232553528004, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}