Elliptic curve data - 1152.i1

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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
  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[]

  
  {'Ciso': '1152r', 'Clabel': '1152r2', 'Cnumber': 2, 'abc_quality': 0.9254651551988543, 'absD': 35831808, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 24, 'ainvs': [0, 0, 0, -120, -416], 'analytic_rank': 1, 'bad_primes': [2, 3], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1152, 'degree': 256, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.16743481926009266088766275431', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [16000, 3], 'lmfdb_iso': '1152.i', 'lmfdb_label': '1152.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3, 3], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '12.6.0.a.1', '24.12.0.w.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.84837199365724798058734699493', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 128]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1905430357272317124633973392', 'prec': 103}, 'szpiro_ratio': 3.684939592344505, '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, -2, 0, 0, 0, -4, 0, 6, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, 0, -2, -4, 6, -6, 0, 4, -4, -10, 2, 2, -8, -12, 12, -4, 2, -4, -4, -10, 6, 12, -2, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 1152, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1152.i', 'trace_hash': 29864342733861062}
• 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': '0.71543134496259777795084102901', 'prec': 103}, 'conductor': 1152, 'gens': [[-7, 9, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.84837199365724798058734699493', 'prec': 103}], 'lmfdb_label': '1152.i1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.4611745188630828681256530243', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4792390792980874175287320099946603162', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-4, 0, 1]], 'xcoord_integral_points': [-7, -4, 20]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 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': '1152.i1'}
• ec_torsion_growth •

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

  
  
  • id: 56678
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '1152.i1', 'torsion': [2, 2]}
  • id: 56679
    {'degree': 4, 'field': [3, 0, 2, 0, 1], 'lmfdb_label': '1152.i1', 'torsion': [4]}
  • id: 56682
    {'degree': 8, 'field': [-27, 0, -24, 0, -18, 0, 0, 0, 1], 'lmfdb_label': '1152.i1', 'torsion': [6]}
  • id: 56680
    {'degree': 8, 'field': [1, 0, -8, 0, 6, 0, -8, 0, 1], 'lmfdb_label': '1152.i1', 'torsion': [2, 4]}
  • id: 56681
    {'degree': 8, 'field': [9, -12, 16, -4, -4, -4, 8, -4, 1], 'lmfdb_label': '1152.i1', 'torsion': [2, 4]}
  • id: 56683
    {'degree': 16, 'field': [67, -424, 1216, -1696, 1104, -664, 448, 48, 70, 120, 8, 0, 8, -8, 8, 0, 1], 'lmfdb_label': '1152.i1', 'torsion': [8]}
  • id: 56684
    {'degree': 16, 'field': [17161, 0, 25984, 0, 4408, 0, -8320, 0, -2566, 0, 80, 0, 88, 0, 16, 0, 1], 'lmfdb_label': '1152.i1', 'torsion': [2, 6]}
• 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: 16687
    {'conductor': 1152, 'conductor_valuation': 7, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '1152.i1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 16688
    {'conductor': 1152, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '1152.i1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1671803
    {'adelic_gens': [[1, 2, 2, 5], [13, 4, 2, 9], [21, 4, 20, 5], [3, 4, 8, 11], [4, 1, 17, 18], [1, 4, 0, 1], [10, 1, 7, 0], [1, 0, 4, 1]], 'adelic_image': '24.12.0.?', 'conductor': 1152, 'lmfdb_label': '1152.i1', 'prime': 0}
  • id: 5460
    {'conductor': 1152, 'elladic_image': '8.6.0.4', 'lmfdb_label': '1152.i1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 27950
    {'lmfdb_iso': '1152.i', 'p': 7, 'prec': 20, 'unit': 6386428304315340, 'val': 1}
  • id: 27948
    {'lmfdb_iso': '1152.i', 'p': 11, 'prec': 20, 'unit': 2197945298319024798, 'val': 1}
  • id: 27954
    {'lmfdb_iso': '1152.i', 'p': 13, 'prec': 20, 'unit': 597574747473109209027, 'val': 1}
  • id: 27956
    {'lmfdb_iso': '1152.i', 'p': 17, 'prec': 20, 'unit': 123045690185292384180619, 'val': 1}
  • id: 27961
    {'lmfdb_iso': '1152.i', 'p': 23, 'prec': 20, 'unit': 2413952489856214200683215, 'val': 1}
  • id: 27953
    {'lmfdb_iso': '1152.i', 'p': 29, 'prec': 20, 'unit': 5296756935252367844699100330, 'val': 1}
  • id: 27966
    {'lmfdb_iso': '1152.i', 'p': 31, 'prec': 20, 'unit': 15307701651133928527804921220, 'val': 1}
  • id: 27949
    {'lmfdb_iso': '1152.i', 'p': 37, 'prec': 20, 'unit': 132370553827849047104427450401, 'val': 1}
  • id: 27951
    {'lmfdb_iso': '1152.i', 'p': 41, 'prec': 20, 'unit': 3747738634618705874526105699067, 'val': 1}
  • id: 27952
    {'lmfdb_iso': '1152.i', 'p': 43, 'prec': 20, 'unit': 5351662930523062525403124704479, 'val': 1}
  • id: 27964
    {'lmfdb_iso': '1152.i', 'p': 47, 'prec': 20, 'unit': 3827454012346173461407049424685, 'val': 1}
  • id: 27958
    {'lmfdb_iso': '1152.i', 'p': 53, 'prec': 20, 'unit': 12468293368714389724614180418982, 'val': 1}
  • id: 27959
    {'lmfdb_iso': '1152.i', 'p': 59, 'prec': 20, 'unit': 1540073989759262269718335056139303, 'val': 1}
  • id: 27965
    {'lmfdb_iso': '1152.i', 'p': 61, 'prec': 20, 'unit': 560542662611920303966282461095191, 'val': 1}
  • id: 27957
    {'lmfdb_iso': '1152.i', 'p': 67, 'prec': 20, 'unit': 46040074145981410550849403334203230, 'val': 1}
  • id: 27963
    {'lmfdb_iso': '1152.i', 'p': 71, 'prec': 20, 'unit': 129360479714607014880550699074882070, 'val': 1}
  • id: 27960
    {'lmfdb_iso': '1152.i', 'p': 73, 'prec': 20, 'unit': 104895843213021819335372504405810344, 'val': 1}
  • id: 27955
    {'lmfdb_iso': '1152.i', 'p': 79, 'prec': 20, 'unit': 1021362471966393012299520751011809346, 'val': 1}
  • id: 27947
    {'lmfdb_iso': '1152.i', 'p': 83, 'prec': 20, 'unit': 1585245621497900493736784925921095990, 'val': 1}
  • id: 27962
    {'lmfdb_iso': '1152.i', 'p': 89, 'prec': 20, 'unit': 9982189387133001175277730341254827796, 'val': 1}
  • id: 27946
    {'lmfdb_iso': '1152.i', 'p': 97, 'prec': 20, 'unit': 8259306325758245058322775792590373394, 'val': 1}