Elliptic curve isogeny class data - 226512.cg

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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, 0, 0, -4, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, 0, 0, -4, 0, -1, 0, -4, 0, 0, 10, 2, -6, -10, 0, -6, 0, -2, -2, 12, 10, -10, 12, -12, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 226512, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '226512.cg', 'trace_hash': 365938258862994533}
• lmfdb_iso 226512.cg 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: 1446236
    {'Ciso': '226512bc', 'Clabel': '226512bc4', 'Cnumber': 4, 'abc_quality': 1.1301238642654245, 'absD': 19461109913369327129591808, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1716, 'ainvs': [0, 0, 0, -1135618275, 14728264733666], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 226512, 'degree': 79626240, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8772256800354696153363560071', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [30618029936661765625, 3678951124992], 'lmfdb_iso': '226512.cg', 'lmfdb_label': '226512.cg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -65176, -6409114], 'min_quad_twist_disc': -132, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '66.24.0-6.a.1.4', '132.48.0.?', '156.48.0.?', '572.6.0.?', '1716.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 25168], [11, 72, 1872], [13, 14, 17424]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4358247187422841881905294782', 'prec': 100}, 'szpiro_ratio': 6.014728701922564, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1446235
    {'Ciso': '226512bc', 'Clabel': '226512bc3', 'Cnumber': 3, 'abc_quality': 0.9888164482102493, 'absD': 13820615998120689578016768, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1716, 'ainvs': [0, 0, 0, -65087715, 269893096418], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 226512, 'degree': 39813120, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5306520897554969606277399463', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-5764706497797625, 2612665516032], 'lmfdb_iso': '226512.cg', 'lmfdb_label': '226512.cg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -3736, -117658], 'min_quad_twist_disc': -132, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '132.48.0.?', '156.48.0.?', '286.6.0.?', '858.24.0.?', '1716.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 14157], [3, 8, 25168], [11, 72, 1872], [13, 14, 17424]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0892511284623115334819134174', 'prec': 100}, 'szpiro_ratio': 5.36599842739965, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1446234
    {'Ciso': '226512bc', 'Clabel': '226512bc2', 'Cnumber': 2, 'abc_quality': 1.033360901289125, 'absD': 1334666679327763261489152, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1716, 'ainvs': [0, 0, 0, -31372275, -38534337358], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 226512, 'degree': 26542080, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3279195357014147696387333886', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [645532578015625, 252306960048], 'lmfdb_iso': '226512.cg', 'lmfdb_label': '226512.cg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1801, 16604], 'min_quad_twist_disc': -132, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '66.24.0-6.a.1.3', '132.48.0.?', '156.48.0.?', '572.6.0.?', '1716.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 2, 1936], [11, 72, 1872], [13, 14, 17424]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.88651857440822934249290685970', 'prec': 103}, 'szpiro_ratio': 5.141529928790501, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1446233
    {'Ciso': '226512bc', 'Clabel': '226512bc1', 'Cnumber': 1, 'abc_quality': 0.9633259695924191, 'absD': 23857988392005368020992, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1716, 'ainvs': [0, 0, 0, 6263565, -4338413134], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 226512, 'degree': 13271040, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9813459454214421149301173279', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [5137417856375, 4510142208], 'lmfdb_iso': '226512.cg', 'lmfdb_label': '226512.cg4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 359, 1916], 'min_quad_twist_disc': -132, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '132.48.0.?', '156.48.0.?', '286.6.0.?', '858.24.0.?', '1716.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 14157], [3, 2, 1936], [11, 72, 1872], [13, 14, 17424]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.53994498412825668778429079900', 'prec': 103}, 'szpiro_ratio': 4.749534127114665, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}