Elliptic curve isogeny class data - 142296.cs

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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, 0, 0, 1, 0, 0, 0, 2, 0, -2, 0, 6, 0, 0, 0], 'aplist': [0, 1, -2, 0, 0, 2, 6, 0, 4, -2, 0, -10, 6, 8, 4, -6, 12, 2, 4, 12, -14, -16, -12, -10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 142296, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '142296.cs', 'trace_hash': 1109840748799265816}
• lmfdb_iso 142296.cs 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: 925591
    {'Ciso': '142296h', 'Clabel': '142296h3', 'Cnumber': 3, 'abc_quality': 0.9748605365818221, 'absD': 380322489670244352, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, 1, 0, -2800464, 1802642400], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 142296, 'degree': 2949120, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3843157107825177556234394688', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 70, 'isogeny_degrees': [1, 2, 4], 'jinv': [5690357426, 891], 'lmfdb_iso': '142296.cs', 'lmfdb_label': '142296.cs1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -472, 4108], 'min_quad_twist_disc': 77, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '28.12.0-4.c.1.1', '88.12.0.?', '168.24.0.?', '264.24.0.?', '616.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.6078084455801978969277405612', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5929], [3, 4, 47432], [7, 26, 2904], [11, 72, 1176]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42297191565760736925933813657', 'prec': 107}, 'szpiro_ratio': 4.732098197557049, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 925590
    {'Ciso': '142296h', 'Clabel': '142296h2', 'Cnumber': 2, 'abc_quality': 0.899108725536897, 'absD': 232419299242927104, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, 1, 0, -191704, 22424576], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 142296, 'degree': 1474560, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0377421205025451009148234081', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 70, 'isogeny_degrees': [1, 2], 'jinv': [3650692, 1089], 'lmfdb_iso': '142296.cs', 'lmfdb_label': '142296.cs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -32, 60], 'min_quad_twist_disc': 77, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0.a.1', '28.12.0-2.a.1.1', '88.12.0.?', '132.12.0.?', '168.24.0.?', '264.24.0.?', '616.24.0.?', '924.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.2156168911603957938554811223', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 5929], [3, 4, 47432], [7, 26, 2904], [11, 72, 1176]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71178324089091791484985152049', 'prec': 107}, 'szpiro_ratio': 4.054111839055612, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 925589
    {'Ciso': '142296h', 'Clabel': '142296h1', 'Cnumber': 1, 'abc_quality': 0.8218791690420852, 'absD': 1760752266991872, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, 1, 0, -73124, -7362720], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 142296, 'degree': 737280, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6911685302225724462062073474', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 70, 'isogeny_degrees': [1, 2, 4], 'jinv': [810448, 33], 'lmfdb_iso': '142296.cs', 'lmfdb_label': '142296.cs3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -12, -12], 'min_quad_twist_disc': 77, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '28.12.0-4.c.1.2', '66.6.0.a.1', '88.12.0.?', '132.12.0.?', '168.24.0.?', '264.24.0.?', '616.24.0.?', '924.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.6078084455801978969277405612', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 17787], [3, 4, 47432], [7, 26, 2904], [11, 72, 1176]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.94283230107756635132226222761', 'prec': 107}, 'szpiro_ratio': 3.8104357132756905, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 925592
    {'Ciso': '142296h', 'Clabel': '142296h4', 'Cnumber': 4, 'abc_quality': 0.9609292254731742, 'absD': 18748490138929453056, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, 1, 0, 519776, 150490976], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 142296, 'degree': 2949120, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3843157107825177556234394688', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 70, 'isogeny_degrees': [1, 2, 4], 'jinv': [36382894, 43923], 'lmfdb_iso': '142296.cs', 'lmfdb_label': '142296.cs4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 88, 300], 'min_quad_twist_disc': 77, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.v.1', '56.12.0-4.c.1.5', '88.12.0.?', '168.24.0.?', '264.24.0.?', '616.24.0.?', '924.12.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.431233782320791587710962245', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 17787], [3, 4, 47432], [7, 26, 2904], [11, 72, 1176]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42297191565760736925933813657', 'prec': 107}, 'szpiro_ratio': 4.313257655565101, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}