Elliptic curve isogeny class data - 127296.x

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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, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0], 'aplist': [0, 0, -2, 0, 0, -1, -1, 0, 0, -2, -8, -10, 6, -4, -8, -2, 4, 10, 8, -12, 6, 8, -12, 10, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 127296, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '127296.x', 'trace_hash': 1034599472231840484}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 6671119
    {'lmfdb_iso': '127296.x', 'p': 5, 'prec': 20, 'unit': 14354333319074, 'val': 1}
  • id: 6671110
    {'lmfdb_iso': '127296.x', 'p': 29, 'prec': 20, 'unit': 4079798039851405722343313326, 'val': 1}
  • id: 6671107
    {'lmfdb_iso': '127296.x', 'p': 31, 'prec': 20, 'unit': 17019796238424824496084285408, 'val': 1}
  • id: 6671105
    {'lmfdb_iso': '127296.x', 'p': 37, 'prec': 20, 'unit': 620029612852190456048578430045, 'val': 1}
  • id: 6671108
    {'lmfdb_iso': '127296.x', 'p': 41, 'prec': 20, 'unit': 553948528182670650996026512938, 'val': 1}
  • id: 6671109
    {'lmfdb_iso': '127296.x', 'p': 43, 'prec': 20, 'unit': 10781561573229281047738831685103, 'val': 1}
  • id: 6671117
    {'lmfdb_iso': '127296.x', 'p': 47, 'prec': 20, 'unit': 46129751724230979324837850115260, 'val': 1}
  • id: 6671114
    {'lmfdb_iso': '127296.x', 'p': 53, 'prec': 20, 'unit': 165702766791433904993238342757431, 'val': 1}
  • id: 6671112
    {'lmfdb_iso': '127296.x', 'p': 59, 'prec': 20, 'unit': 2136687688970309993133894246992080, 'val': 1}
  • id: 6671118
    {'lmfdb_iso': '127296.x', 'p': 61, 'prec': 20, 'unit': 6862874986369819077411979328640906, 'val': 1}
  • id: 6671104
    {'lmfdb_iso': '127296.x', 'p': 67, 'prec': 20, 'unit': 28502732358444423965434589202763132, 'val': 1}
  • id: 6671106
    {'lmfdb_iso': '127296.x', 'p': 71, 'prec': 20, 'unit': 112600646113429697427884956477287975, 'val': 1}
  • id: 6671115
    {'lmfdb_iso': '127296.x', 'p': 73, 'prec': 20, 'unit': 14221781485540677607253487758828850, 'val': 1}
  • id: 6671111
    {'lmfdb_iso': '127296.x', 'p': 79, 'prec': 20, 'unit': 505719420807854007297975260710688356, 'val': 1}
  • id: 6671113
    {'lmfdb_iso': '127296.x', 'p': 83, 'prec': 20, 'unit': 200146497803815849448474878602128721, 'val': 1}
  • id: 6671116
    {'lmfdb_iso': '127296.x', 'p': 89, 'prec': 20, 'unit': 2439203223970645068522901443557809234, 'val': 1}
  • id: 6671103
    {'lmfdb_iso': '127296.x', 'p': 97, 'prec': 20, 'unit': 43147230198819832012722276340720687301, 'val': 1}
• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 830417
    {'Ciso': '127296cd', 'Clabel': '127296cd4', 'Cnumber': 4, 'abc_quality': 1.0200658980626969, 'absD': 1113450787897344, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5304, 'ainvs': [0, 0, 0, -628716, 191873360], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 127296, 'degree': 786432, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9694753623423152766268106879', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [143820170742457, 5826444], 'lmfdb_iso': '127296.x', 'lmfdb_label': '127296.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1091, 13425], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.1', '104.12.0.?', '136.12.0.?', '204.12.0.?', '312.24.0.?', '408.24.0.?', '1768.24.0.?', '5304.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2410508783610274083876033186', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.38044844716834246680333988725', 'prec': 103}, 'szpiro_ratio': 4.3956712080557345, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 830416
    {'Ciso': '127296cd', 'Clabel': '127296cd3', 'Cnumber': 3, 'abc_quality': 0.927442619481365, 'absD': 67228202305585152, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5304, 'ainvs': [0, 0, 0, -190956, -29596336], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 127296, 'degree': 786432, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9694753623423152766268106879', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [4029546653497, 351790452], 'lmfdb_iso': '127296.x', 'lmfdb_label': '127296.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -331, -2279], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.2', '26.6.0.b.1', '52.12.0.g.1', '136.12.0.?', '312.24.0.?', '408.24.0.?', '1768.24.0.?', '5304.48.0.?'], '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': '4.9642035134441096335504132746', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.38044844716834246680333988725', 'prec': 103}, 'szpiro_ratio': 4.0915340972011665, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 830415
    {'Ciso': '127296cd', 'Clabel': '127296cd2', 'Cnumber': 2, 'abc_quality': 0.8925344207687699, 'absD': 1344047104917504, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5304, 'ainvs': [0, 0, 0, -41196, 2691920], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 127296, 'degree': 393216, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6229017720623426219181946272', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [40459583737, 7033104], 'lmfdb_iso': '127296.x', 'lmfdb_label': '127296.x3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -71, 165], 'min_quad_twist_disc': 24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0-2.a.1.1', '52.12.0.b.1', '136.12.0.?', '204.12.0.?', '312.24.0.?', '408.24.0.?', '1768.24.0.?', '2652.24.0.?', '5304.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4821017567220548167752066373', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.033874856888369812094723826552', 'prec': 107}, 'szpiro_ratio': 3.7000929043008726, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 830414
    {'Ciso': '127296cd', 'Clabel': '127296cd1', 'Cnumber': 1, 'abc_quality': 0.85449985979477, 'absD': 32435525910528, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5304, 'ainvs': [0, 0, 0, 4884, 240464], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 127296, 'degree': 196608, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2763281817823699672095785665', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [67419143, 169728], 'lmfdb_iso': '127296.x', 'lmfdb_label': '127296.x4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 9, 21], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.6', '104.12.0.?', '136.12.0.?', '312.24.0.?', '408.24.0.?', '1326.6.0.?', '1768.24.0.?', '2652.12.0.?', '5304.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.9642035134441096335504132746', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31269873339160284261389223415', 'prec': 107}, 'szpiro_ratio': 3.2587132757377066, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}