Elliptic curve data - 1155.e6

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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': '1155e', 'Clabel': '1155e6', 'Cnumber': 6, 'abc_quality': 0.9657805135544976, 'absD': 1381398046875, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [1, 1, 1, 1820, -47248], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 1155, 'degree': 2048, 'elladic_images': ['8.24.0.55'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0138666926544564778492610393', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [666688497209279, 1381398046875], 'lmfdb_iso': '1155.e', 'lmfdb_label': '1155.e6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 1820, -47248], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.6', '22.6.0.a.1', '44.24.0-44.g.1.1', '56.48.0-56.bv.2.5', '88.48.0.?', '240.48.0.?', '616.96.0.?', '1680.96.0.?', '2640.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.42504515144052205646276372809', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0138666926544564778492610393', 'prec': 100}, 'szpiro_ratio': 4.974763537614648, '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, -1, -1, -1, 1, 1, -1, 3, 1, -1, 1, 1, -2, 1, -1, -1, -6, -1, -4, -1], 'aplist': [-1, -1, 1, -1, 1, -2, -6, -4, 8, 6, 8, 6, -6, -4, -8, -10, -12, -10, -12, -8, -6, 8, -4, 10, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 1155, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '1155.e', 'trace_hash': 993314052577958824}
• 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': '0.13163354579611929546037547142', 'prec': 103}, 'conductor': 1155, 'gens': [[52, 411, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.42504515144052205646276372809', 'prec': 103}], 'lmfdb_label': '1155.e6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.44498652466418513115355054690', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5131149181190413784512069043184359704', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[83, -87, 2]], 'xcoord_integral_points': [27, 52, 122, 472, 527]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 3], '3': [1, 0], '5': [2, 0], '7': [3, 0], '11': [2, 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': '1155.e6'}
• ec_torsion_growth •

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

  
  
  • id: 56928
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '1155.e6', 'torsion': [4]}
  • id: 56929
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '1155.e6', 'torsion': [4]}
  • id: 56927
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '1155.e6', 'torsion': [2, 2]}
  • id: 56932
    {'degree': 4, 'field': [-11, 0, 0, 0, 1], 'lmfdb_label': '1155.e6', 'torsion': [8]}
  • id: 56931
    {'degree': 4, 'field': [9, 0, -5, 0, 1], 'lmfdb_label': '1155.e6', 'torsion': [2, 4]}
  • id: 56933
    {'degree': 4, 'field': [49, 0, 0, 0, 1], 'lmfdb_label': '1155.e6', 'torsion': [8]}
  • id: 56930
    {'degree': 4, 'field': [539, 0, 0, 0, 1], 'lmfdb_label': '1155.e6', 'torsion': [2, 4]}
  • id: 56934
    {'degree': 4, 'field': [5929, 0, 0, 0, 1], 'lmfdb_label': '1155.e6', 'torsion': [8]}
  • id: 56938
    {'degree': 8, 'field': [-3, 0, -113, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '1155.e6', 'torsion': [6]}
  • id: 56936
    {'degree': 8, 'field': [100, 0, 136, 0, -16, 0, 4, 0, 1], 'lmfdb_label': '1155.e6', 'torsion': [2, 8]}
  • id: 56937
    {'degree': 8, 'field': [2825, 1460, -1308, -316, 189, -40, 18, -4, 1], 'lmfdb_label': '1155.e6', 'torsion': [2, 8]}
  • id: 56935
    {'degree': 8, 'field': [18225, -270, 2, 534, -261, -10, 8, -4, 1], 'lmfdb_label': '1155.e6', 'torsion': [4, 4]}
  • id: 56945
    {'degree': 16, 'field': [14641, 0, -10648, 0, 1936, 0, -147741, 0, 26136, 0, -1419, 0, 121, 0, -22, 0, 1], 'lmfdb_label': '1155.e6', 'torsion': [12]}
  • id: 56946
    {'degree': 16, 'field': [14641, 0, 29282, 0, 14641, 0, -3816, 0, -2634, 0, 306, 0, 16, 0, 8, 0, 1], 'lmfdb_label': '1155.e6', 'torsion': [12]}
  • id: 56940
    {'degree': 16, 'field': [55225, 0, -94536, 0, 3474, 0, 23508, 0, 13903, 0, 3492, 0, 522, 0, 36, 0, 1], 'lmfdb_label': '1155.e6', 'torsion': [4, 8]}
  • id: 56944
    {'degree': 16, 'field': [79095, 92970, -83260, -75706, 193679, -230636, 153862, -75248, 32220, -11982, 5802, -2336, 814, -224, 52, -8, 1], 'lmfdb_label': '1155.e6', 'torsion': [2, 6]}
  • id: 56939
    {'degree': 16, 'field': [274068, 55032, 138644, -337400, 46018, 140616, -34412, -13960, 8471, -4824, 2716, -1288, 518, -168, 44, -8, 1], 'lmfdb_label': '1155.e6', 'torsion': [2, 8]}
  • id: 56941
    {'degree': 16, 'field': [290521, 0, 0, 0, 616616, 0, 0, 0, -82269, 0, 0, 0, -1144, 0, 0, 0, 1], 'lmfdb_label': '1155.e6', 'torsion': [16]}
  • id: 56942
    {'degree': 16, 'field': [562448656, 0, 0, 0, 14609056, 0, 0, 0, 682521, 0, 0, 0, 616, 0, 0, 0, 1], 'lmfdb_label': '1155.e6', 'torsion': [16]}
  • id: 56943
    {'degree': 16, 'field': [8234810772496, 0, 0, 0, 19444653536, 0, 0, 0, 82585041, 0, 0, 0, 6776, 0, 0, 0, 1], 'lmfdb_label': '1155.e6', 'torsion': [16]}
• 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: 16763
    {'conductor': 1155, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '1155.e6', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 16764
    {'conductor': 1155, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '1155.e6', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 16765
    {'conductor': 1155, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1155.e6', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 16766
    {'conductor': 1155, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1155.e6', 'prime': 11, '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: 1671844
    {'adelic_gens': [[5, 4, 18476, 18477], [13, 16, 13604, 13545], [16183, 16, 11814, 14185], [1, 16, 0, 1], [3697, 16, 11096, 129], [1688, 1, 5119, 10], [18465, 16, 18464, 17], [6161, 16, 12328, 129], [1, 0, 16, 1], [15, 2, 18382, 18467], [13213, 16, 15584, 18165]], 'adelic_image': '18480.192.1.?', 'conductor': 1155, 'lmfdb_label': '1155.e6', 'prime': 0}
  • id: 5499
    {'conductor': 1155, 'elladic_image': '8.24.0.55', 'lmfdb_label': '1155.e6', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 28090
    {'lmfdb_iso': '1155.e', 'p': 13, 'prec': 20, 'unit': 876275496904530441811, 'val': 1}
  • id: 28092
    {'lmfdb_iso': '1155.e', 'p': 17, 'prec': 20, 'unit': 183070073270384113797420, 'val': 1}
  • id: 28093
    {'lmfdb_iso': '1155.e', 'p': 19, 'prec': 20, 'unit': 641152049117670258181516, 'val': 1}
  • id: 28097
    {'lmfdb_iso': '1155.e', 'p': 23, 'prec': 20, 'unit': 50029868195013984210271978, 'val': 1}
  • id: 28089
    {'lmfdb_iso': '1155.e', 'p': 29, 'prec': 20, 'unit': 5733752049298164665522136339, 'val': 1}
  • id: 28101
    {'lmfdb_iso': '1155.e', 'p': 31, 'prec': 20, 'unit': 20530087185323829415946635510, 'val': 1}
  • id: 28085
    {'lmfdb_iso': '1155.e', 'p': 37, 'prec': 20, 'unit': 486120194769034196377850709931, 'val': 1}
  • id: 28087
    {'lmfdb_iso': '1155.e', 'p': 41, 'prec': 20, 'unit': 785933900067435680973446321136, 'val': 1}
  • id: 28088
    {'lmfdb_iso': '1155.e', 'p': 43, 'prec': 20, 'unit': 9216817880314423975067639128022, 'val': 1}
  • id: 28099
    {'lmfdb_iso': '1155.e', 'p': 47, 'prec': 20, 'unit': 52416229551807552363829440230781, 'val': 1}
  • id: 28094
    {'lmfdb_iso': '1155.e', 'p': 53, 'prec': 20, 'unit': 562776895395866135119909868513183, 'val': 1}
  • id: 28095
    {'lmfdb_iso': '1155.e', 'p': 59, 'prec': 20, 'unit': 855451698871559526129729791211359, 'val': 1}
  • id: 28100
    {'lmfdb_iso': '1155.e', 'p': 61, 'prec': 20, 'unit': 3700658040264457171313746181362893, 'val': 1}
  • id: 28084
    {'lmfdb_iso': '1155.e', 'p': 67, 'prec': 20, 'unit': 8135340163815155345366747188217120, 'val': 1}
  • id: 28086
    {'lmfdb_iso': '1155.e', 'p': 71, 'prec': 20, 'unit': 104187228648397998194354208560561683, 'val': 1}
  • id: 28096
    {'lmfdb_iso': '1155.e', 'p': 73, 'prec': 20, 'unit': 218965049321197940058730531700641878, 'val': 1}
  • id: 28091
    {'lmfdb_iso': '1155.e', 'p': 79, 'prec': 20, 'unit': 133675622519516819356766509005074977, 'val': 1}
  • id: 28083
    {'lmfdb_iso': '1155.e', 'p': 83, 'prec': 20, 'unit': 607977832512302894375966035074787736, 'val': 1}
  • id: 28098
    {'lmfdb_iso': '1155.e', 'p': 89, 'prec': 20, 'unit': 1898685638971232260694204364524242963, 'val': 1}
  • id: 28082
    {'lmfdb_iso': '1155.e', 'p': 97, 'prec': 20, 'unit': 47585562655780539571618695967105443935, 'val': 1}