Elliptic curve data - 2736.o1

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• 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[]

  
  {'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, '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]}
• 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_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.067480896114448740469952694284', 'prec': 107}, 'conductor': 2736, 'gens': [[1793, 75152, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.8356843701086910174189172808', 'prec': 100}], 'lmfdb_label': '2736.o1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30300022564338521065044114896', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5364273618530193409705559901134517125', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-143, 0, 1]], 'xcoord_integral_points': [-143, 1793]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 1, 0], '7': [1, 0], '11': [3, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2736.o1'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 142719
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '2736.o1', 'torsion': [2, 2]}
  • id: 142720
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '2736.o1', 'torsion': [6]}
  • id: 142721
    {'degree': 4, 'field': [17, -8, -4, 0, 1], 'lmfdb_label': '2736.o1', 'torsion': [4]}
  • id: 142722
    {'degree': 4, 'field': [196, 0, 29, 0, 1], 'lmfdb_label': '2736.o1', 'torsion': [2, 6]}
  • id: 142723
    {'degree': 6, 'field': [-12, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2736.o1', 'torsion': [6]}
  • id: 142726
    {'degree': 8, 'field': [9, 0, 10, 0, 15, 0, 6, 0, 1], 'lmfdb_label': '2736.o1', 'torsion': [12]}
  • id: 142724
    {'degree': 8, 'field': [196, 0, 204, 0, 53, 0, 18, 0, 1], 'lmfdb_label': '2736.o1', 'torsion': [2, 4]}
  • id: 142725
    {'degree': 8, 'field': [784, 0, -640, 0, 225, 0, -31, 0, 1], 'lmfdb_label': '2736.o1', 'torsion': [2, 4]}
  • id: 142727
    {'degree': 12, 'field': [169, 0, 537, 0, 510, 0, 77, 0, -30, 0, -3, 0, 1], 'lmfdb_label': '2736.o1', 'torsion': [3, 6]}
  • id: 142728
    {'degree': 12, 'field': [1444, 0, -36708, 0, 12300, 0, -3023, 0, 375, 0, -33, 0, 1], 'lmfdb_label': '2736.o1', 'torsion': [2, 6]}
  • id: 142730
    {'degree': 16, 'field': [196, 2072, 8924, 19376, 22658, 14416, 3930, -3848, -723, -1132, -10, -176, 72, -4, 12, 0, 1], 'lmfdb_label': '2736.o1', 'torsion': [2, 12]}
  • id: 142731
    {'degree': 16, 'field': [1681, 3254, 978, -4382, -6000, 4536, 6280, -4646, -1311, 1520, -128, -174, 120, -70, 30, -8, 1], 'lmfdb_label': '2736.o1', 'torsion': [2, 12]}
  • id: 142729
    {'degree': 16, 'field': [8262, 14904, -540, -28728, 5022, -2808, 2808, 9192, -4025, -824, 1480, -152, -86, -8, 28, -8, 1], 'lmfdb_label': '2736.o1', 'torsion': [8]}
  • id: 142732
    {'degree': 18, 'field': [935712, 2807136, 4210704, -7822224, -935712, -517104, 35354916, 4021920, 233928, -227316, 141336, 8208, 722, -228, -720, -38, 0, 0, 1], 'lmfdb_label': '2736.o1', 'torsion': [18]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 48525
    {'conductor': 2736, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '2736.o1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 48526
    {'conductor': 2736, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '2736.o1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 48527
    {'conductor': 2736, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2736.o1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1681899
    {'adelic_gens': [[370, 453, 179, 8], [129, 206, 226, 307], [11, 2, 406, 447], [1, 0, 12, 1], [1, 6, 6, 37], [1, 12, 0, 1], [229, 12, 6, 73], [445, 12, 444, 13], [58, 3, 117, 448]], 'adelic_image': '456.96.1.?', 'conductor': 2736, 'lmfdb_label': '2736.o1', 'prime': 0}
  • id: 13761
    {'conductor': 2736, 'elladic_image': '8.6.0.4', 'lmfdb_label': '2736.o1', 'modell_image': '2B', 'prime': 2}
  • id: 13762
    {'conductor': 2736, 'elladic_image': '3.4.0.1', 'lmfdb_label': '2736.o1', 'modell_image': '3B', 'prime': 3}
• 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}