Elliptic curve isogeny class data - 1872.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, 0, 0, 4, 0, -4, 0, 0, 0, 4, 0, -1, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, 0, 4, -4, 4, -1, 0, 0, 8, -8, -4, 6, 12, 8, 4, 0, -4, -2, 8, 4, -10, 4, -12, -12, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 1872, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1872.r', 'trace_hash': 1103571418139576516}
• lmfdb_iso 1872.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: 10511
    {'Ciso': '1872l', 'Clabel': '1872l2', 'Cnumber': 2, 'abc_quality': 1.0648086831316528, 'absD': 1168128, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, -2703, 54090], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1872, 'degree': 1536, 'elladic_images': ['8.12.0.33'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49388763445050671876231907082', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2], 'jinv': [315978926832, 169], 'lmfdb_iso': '1872.r', 'lmfdb_label': '1872.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -24327, 1460430], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.12.0.u.1', '12.12.0.m.1', '24.24.0.dc.1', '104.24.0.?', '312.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 6, 208], [13, 14, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24286355808981757703131365272', 'prec': 107}, 'szpiro_ratio': 4.68760029734498, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 10510
    {'Ciso': '1872l', 'Clabel': '1872l1', 'Cnumber': 1, 'abc_quality': 1.243698068221619, 'absD': 12338352, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, -168, 855], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1872, 'degree': 768, 'elladic_images': ['4.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.14731404417053406405370301010', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2], 'jinv': [-1213857792, 28561], 'lmfdb_iso': '1872.r', 'lmfdb_label': '1872.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -1512, 23085], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.e.1', '6.6.0.a.1', '12.24.0.k.1', '104.24.0.?', '312.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 6, 208], [13, 14, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.35838808818314179526751900628', 'prec': 107}, 'szpiro_ratio': 3.5867551116875207, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}