Elliptic curve isogeny class data - 207025.cj

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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, 2, -1, 0, 2, 0, -3, 1, 0, -2, -2, 0, 0, 0, -1, 0, 1, -6, 0], 'aplist': [1, 2, 0, 0, -2, 0, 0, -6, 6, -6, -6, 6, 8, -6, 8, 12, -2, -6, -12, -2, -6, 0, 4, 8, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 207025, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '207025.cj', 'trace_hash': 669094906065195761}
• lmfdb_iso 207025.cj 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: 1326641
    {'Ciso': '207025cj', 'Clabel': '207025cj2', 'Cnumber': 2, 'abc_quality': 0.9377878821365829, 'absD': 504833697265625, 'adelic_genus': 41, 'adelic_index': 1152, 'adelic_level': 21840, 'ainvs': [1, 1, 0, -426325, 106959000], 'analytic_rank': 0, 'bad_primes': [5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 207025, 'degree': 1474560, 'elladic_images': ['16.24.0.22', '3.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8834772522150147843524969633', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 61, 'isogeny_degrees': [1, 2], 'jinv': [16974593, 1], 'lmfdb_iso': '207025.cj', 'lmfdb_label': '207025.cj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -348, -2644], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '3Nn'], 'modm_images': ['2.3.0.a.1', '3.3.0.a.1', '4.6.0.d.1', '6.9.0.a.1', '8.12.0.w.1', '12.18.0.k.1', '16.24.0.o.1', '24.72.2.hl.2', '30.18.0.c.1', '39.6.0.b.1', '40.24.0.el.2', '48.144.5.eo.1', '60.36.0.bz.1', '78.18.0.?', '80.48.1.?', '104.24.0.?', '120.144.5.?', '130.6.0.?', '156.36.1.?', '208.48.1.?', '240.288.13.?', '260.12.0.?', '312.144.7.?', '390.36.1.?', '520.48.1.?', '624.288.17.?', '780.72.3.?', '1040.96.5.?', '1560.288.17.?', '1820.24.0.?', '3120.576.41.?', '3640.96.1.?', '5460.144.3.?', '7280.192.5.?', '10920.576.17.?', '21840.1152.41.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3185], [5, 14, 8281], [7, 26, 4225], [13, 50, 1225]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.93779359600360133316412076873', 'prec': 107}, 'szpiro_ratio': 4.125818973840444, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1326640
    {'Ciso': '207025cj', 'Clabel': '207025cj1', 'Cnumber': 1, 'abc_quality': 0.7910122173261119, 'absD': 504833697265625, 'adelic_genus': 41, 'adelic_index': 1152, 'adelic_level': 21840, 'ainvs': [1, 1, 0, -28200, 1455875], 'analytic_rank': 0, 'bad_primes': [5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 207025, 'degree': 737280, 'elladic_images': ['16.24.0.21', '3.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5369036619350421296438809026', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 61, 'isogeny_degrees': [1, 2], 'jinv': [4913, 1], 'lmfdb_iso': '207025.cj', 'lmfdb_label': '207025.cj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -23, -44], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '3Nn'], 'modm_images': ['2.3.0.a.1', '3.3.0.a.1', '4.6.0.d.1', '6.9.0.a.1', '8.12.0.w.1', '12.18.0.k.1', '16.24.0.o.2', '24.72.2.hl.1', '30.18.0.c.1', '39.6.0.b.1', '40.24.0.el.1', '48.144.5.eo.2', '60.36.0.bz.1', '78.18.0.?', '80.48.1.?', '104.24.0.?', '120.144.5.?', '130.6.0.?', '156.36.1.?', '208.48.1.?', '240.288.13.?', '260.12.0.?', '312.144.7.?', '390.36.1.?', '520.48.1.?', '624.288.17.?', '780.72.3.?', '1040.96.5.?', '1560.288.17.?', '1820.24.0.?', '3120.576.41.?', '3640.96.1.?', '5460.144.3.?', '7280.192.5.?', '10920.576.17.?', '21840.1152.41.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3185], [5, 14, 8281], [7, 26, 4225], [13, 50, 1225]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2843671862835739878727368294', 'prec': 103}, 'szpiro_ratio': 3.460198689008473, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}