Elliptic curve isogeny class data - 2736.o

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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, -4, 0, 0, 0, -6, 0, -1, 0], 'aplist': [0, 0, 0, 4, 0, -4, -6, -1, -6, -6, -2, -4, -6, 4, 6, -6, -12, 14, -8, 0, 14, 10, -12, 6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 2736, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '2736.o', 'trace_hash': 86041466291751017}
• ec_padic •

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

  
  
  • id: 87066
    {'lmfdb_iso': '2736.o', 'p': 7, 'prec': 20, 'unit': 1759128553549644, 'val': 1}
  • id: 87070
    {'lmfdb_iso': '2736.o', 'p': 13, 'prec': 20, 'unit': 1048183939132254292520, 'val': 1}
  • id: 87072
    {'lmfdb_iso': '2736.o', 'p': 17, 'prec': 20, 'unit': 144335345932809754179150, 'val': 1}
  • id: 87077
    {'lmfdb_iso': '2736.o', 'p': 23, 'prec': 20, 'unit': 43894442155400505955354434, 'val': 1}
  • id: 87069
    {'lmfdb_iso': '2736.o', 'p': 29, 'prec': 20, 'unit': 1909686959471220836536327048, 'val': 1}
  • id: 87081
    {'lmfdb_iso': '2736.o', 'p': 31, 'prec': 20, 'unit': 16373401509995550244443671170, 'val': 1}
  • id: 87065
    {'lmfdb_iso': '2736.o', 'p': 37, 'prec': 20, 'unit': 477173272171162155381231437745, 'val': 1}
  • id: 87067
    {'lmfdb_iso': '2736.o', 'p': 41, 'prec': 20, 'unit': 3590230215519812551522552457427, 'val': 1}
  • id: 87068
    {'lmfdb_iso': '2736.o', 'p': 43, 'prec': 20, 'unit': 5365816218809225729949767001953, 'val': 1}
  • id: 87079
    {'lmfdb_iso': '2736.o', 'p': 47, 'prec': 20, 'unit': 31657752801924716875048842739841, 'val': 1}
  • id: 87074
    {'lmfdb_iso': '2736.o', 'p': 53, 'prec': 20, 'unit': 281626775997808042467981477646271, 'val': 1}
  • id: 87075
    {'lmfdb_iso': '2736.o', 'p': 59, 'prec': 20, 'unit': 2070817892341523201596163145513760, 'val': 1}
  • id: 87080
    {'lmfdb_iso': '2736.o', 'p': 61, 'prec': 20, 'unit': 2168985356071267637944162440295633, 'val': 1}
  • id: 87064
    {'lmfdb_iso': '2736.o', 'p': 67, 'prec': 20, 'unit': 23818417259539119552420237372240710, 'val': 1}
  • id: 87076
    {'lmfdb_iso': '2736.o', 'p': 73, 'prec': 20, 'unit': 241752453211265279624542339970412239, 'val': 1}
  • id: 87071
    {'lmfdb_iso': '2736.o', 'p': 79, 'prec': 20, 'unit': 482423614495164260979454099528195569, 'val': 1}
  • id: 87073
    {'lmfdb_iso': '2736.o', 'p': 83, 'prec': 20, 'unit': 2329799274904493127073135684989615160, 'val': 1}
  • id: 87078
    {'lmfdb_iso': '2736.o', 'p': 89, 'prec': 20, 'unit': 7478887831062790144322461748914160830, 'val': 1}
  • id: 87063
    {'lmfdb_iso': '2736.o', 'p': 97, 'prec': 20, 'unit': 32293692475972352308700168610984985381, '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
  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: 16218
    {'Ciso': '2736n', 'Clabel': '2736n3', 'Cnumber': 3, 'abc_quality': 1.0077462703550282, 'absD': 245770371072, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 456, 'ainvs': [0, 0, 0, -61635, -5889598], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2736, 'degree': 6912, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3479553708441029062401823092', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [8671983378625, 82308], 'lmfdb_iso': '2736.o', 'lmfdb_label': '2736.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -428, -3444], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '12.24.0-6.a.1.3', '24.48.0-24.bx.1.5', '114.24.0.?', '228.48.0.?', '456.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.8356843701086910174189172808', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 171], [3, 8, 16], [19, 20, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.10550204595010275112532756928', 'prec': 103}, 'szpiro_ratio': 5.648108876026803, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 16219
    {'Ciso': '2736n', 'Clabel': '2736n4', 'Cnumber': 4, 'abc_quality': 1.0101536552434738, 'absD': 2528608462774272, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 456, 'ainvs': [0, 0, 0, -60195, -6177886], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2736, 'degree': 13824, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6945289611240755609487983699', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-8078253774625, 846825858], 'lmfdb_iso': '2736.o', 'lmfdb_label': '2736.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -418, -3610], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '12.24.0-6.a.1.3', '24.48.0-24.p.1.11', '228.48.0.?', '456.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9178421850543455087094586404', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 16], [19, 20, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.45207563623007540583394362998', 'prec': 103}, 'szpiro_ratio': 5.660183345097972, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 16216
    {'Ciso': '2736n', 'Clabel': '2736n1', 'Cnumber': 1, 'abc_quality': 1.047658380732593, 'absD': 98035826688, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 456, 'ainvs': [0, 0, 0, -1155, 1154], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2736, 'degree': 2304, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79864922651004806054255969075', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [57066625, 32832], 'lmfdb_iso': '2736.o', 'lmfdb_label': '2736.o3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8, 0], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '12.24.0-6.a.1.9', '24.48.0-24.bx.1.1', '114.24.0.?', '228.48.0.?', '456.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9452281233695636724729724269', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 171], [3, 2, 304], [19, 20, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44380409838395209457229504917', 'prec': 107}, 'szpiro_ratio': 4.14052632484421, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 16217
    {'Ciso': '2736n', 'Clabel': '2736n2', 'Cnumber': 2, 'abc_quality': 1.073456431344882, 'absD': 6286547386368, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 456, 'ainvs': [0, 0, 0, 4605, 9218], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2736, 'degree': 4608, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1452228167900207152511757515', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [3616805375, 2105352], 'lmfdb_iso': '2736.o', 'lmfdb_label': '2736.o4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 32, 8], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '12.24.0-6.a.1.9', '24.48.0-24.p.1.9', '228.48.0.?', '456.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.97261406168478183623648621346', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 2, 304], [19, 20, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.097230508103979439863678988418', 'prec': 110}, 'szpiro_ratio': 4.664786460996937, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}