Elliptic curve data - 55233.g1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '55233g', 'Clabel': '55233g4', 'Cnumber': 4, 'abc_quality': 1.0313050753900588, 'absD': 583039603233, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 62016, 'ainvs': [1, -1, 1, -294644, -61485650], 'analytic_rank': 1, 'bad_primes': [3, 17, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55233, 'degree': 221184, 'elladic_images': ['32.48.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6448895129759315947447033302', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [82483294977, 17], 'lmfdb_iso': '55233.g', 'lmfdb_label': '55233.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -91, -310], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '16.24.0.j.1', '32.48.0.f.2', '34.6.0.a.1', '68.12.0.g.1', '136.48.0.?', '228.12.0.?', '272.192.7.?', '456.24.0.?', '544.384.21.?', '912.48.0.?', '1088.768.53.?', '1824.96.0.?', '3876.24.0.?', '7752.96.0.?', '15504.384.7.?', '31008.768.21.?', '62016.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.352343077487871953914737063', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 6, 6137], [17, 18, 3249], [19, 182, 153]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300421', 'prec': 107}, 'szpiro_ratio': 4.523558964291703, '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, 0, -1, 2, 0, 4, 3, 0, -2, 0, 0, 2, -4, 0, -1, -1, 0, 0, -2], 'aplist': [-1, 0, 2, 4, 0, 2, -1, 0, -4, 6, -4, 2, -6, 4, 0, 6, -12, -10, -4, -4, -6, -12, 4, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 55233, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '55233.g', 'trace_hash': 494638088728267219}
• 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': '0.037262082439736545272907334553', 'prec': 107}, 'conductor': 55233, 'gens': [[8167439, 8658459317, 110]], 'heights': [{'__RealLiteral__': 0, 'data': '13.352343077487871953914737063', 'prec': 100}], 'lmfdb_label': '55233.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20491571925386722791922482065', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4722099708956446370493411194101383539', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-1253, 1249, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 2], '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '55233.g1'}
• ec_torsion_growth •

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

  
  
  • id: 2667544
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '55233.g1', 'torsion': [2, 2]}
  • id: 2667545
    {'degree': 2, 'field': [57, 0, 1], 'lmfdb_label': '55233.g1', 'torsion': [4]}
  • id: 2667546
    {'degree': 2, 'field': [969, 0, 1], 'lmfdb_label': '55233.g1', 'torsion': [4]}
  • id: 2667547
    {'degree': 4, 'field': [3778, -106, 107, -2, 1], 'lmfdb_label': '55233.g1', 'torsion': [2, 4]}
  • id: 2667551
    {'degree': 8, 'field': [-363, 930, -345, -1038, -186, -117, 27, 0, 1], 'lmfdb_label': '55233.g1', 'torsion': [6]}
  • id: 2667549
    {'degree': 8, 'field': [9466, 6756, -5266, -2908, 1275, 212, -66, -4, 1], 'lmfdb_label': '55233.g1', 'torsion': [8]}
  • id: 2667548
    {'degree': 8, 'field': [31072, 13900, -12758, -2228, 975, 164, -50, -4, 1], 'lmfdb_label': '55233.g1', 'torsion': [2, 4]}
  • id: 2667550
    {'degree': 8, 'field': [29800681, 0, 888944, 0, 17318, 0, 160, 0, 1], 'lmfdb_label': '55233.g1', 'torsion': [2, 8]}
  • id: 2667554
    {'degree': 16, 'field': [738463, -1986688, 1732163, -3993048, -1138210, -1212146, -201227, 9816, 85924, -36114, 11467, 8222, -88, 252, 38, -2, 1], 'lmfdb_label': '55233.g1', 'torsion': [2, 6]}
  • id: 2667555
    {'degree': 16, 'field': [54302161, 0, 30992993, 0, -126224, 0, -709582, 0, -19364, 0, 10928, 0, 1297, 0, 59, 0, 1], 'lmfdb_label': '55233.g1', 'torsion': [12]}
  • id: 2667556
    {'degree': 16, 'field': [1325784969, 655857000, -298317411, -34337898, 15647571, -20253654, 650781, -1110528, 766347, 56856, 45897, -3396, 1836, -132, 54, 0, 1], 'lmfdb_label': '55233.g1', 'torsion': [12]}
  • id: 2667553
    {'degree': 16, 'field': [1636201024, 826235840, -626395984, -370966416, 116327722, 75781996, -13706886, -9012700, 1178321, 657844, -74426, -29172, 3224, 728, -84, -8, 1], 'lmfdb_label': '55233.g1', 'torsion': [2, 8]}
  • id: 2667552
    {'degree': 16, 'field': [2094709824, 0, -1034744928, 0, 235019572, 0, -31849048, 0, 2793873, 0, -157976, 0, 5562, 0, -112, 0, 1], 'lmfdb_label': '55233.g1', 'torsion': [4, 4]}
• 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: 1327110
    {'conductor': 55233, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '55233.g1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1327111
    {'conductor': 55233, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '55233.g1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1327112
    {'conductor': 55233, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '55233.g1', 'prime': 19, '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: 2031082
    {'adelic_gens': [[20671, 0, 0, 62015], [1, 64, 0, 1], [61953, 64, 61952, 65], [1, 0, 64, 1], [48679, 16530, 41154, 16303], [16319, 0, 0, 62015], [54778, 35967, 39729, 3592], [15, 286, 46010, 4899], [13567, 10944, 56202, 1], [59, 10, 15806, 2679]], 'adelic_image': '62016.1536.53.?', 'conductor': 55233, 'lmfdb_label': '55233.g1', 'prime': 0}
  • id: 235276
    {'conductor': 55233, 'elladic_image': '32.48.0.12', 'lmfdb_label': '55233.g1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2794812
    {'lmfdb_iso': '55233.g', 'p': 5, 'prec': 20, 'unit': 7823781544679, 'val': 1}
  • id: 2794813
    {'lmfdb_iso': '55233.g', 'p': 7, 'prec': 20, 'unit': 10433593699593587, 'val': 1}
  • id: 2794818
    {'lmfdb_iso': '55233.g', 'p': 13, 'prec': 20, 'unit': 458195287855584948382, 'val': 1}
  • id: 2794823
    {'lmfdb_iso': '55233.g', 'p': 23, 'prec': 20, 'unit': 33849435119949766394061748, 'val': 1}
  • id: 2794817
    {'lmfdb_iso': '55233.g', 'p': 29, 'prec': 20, 'unit': 5894445372667451494476298740, 'val': 1}
  • id: 2794814
    {'lmfdb_iso': '55233.g', 'p': 31, 'prec': 20, 'unit': 19775237242489938048064459507, 'val': 1}
  • id: 2794828
    {'lmfdb_iso': '55233.g', 'p': 37, 'prec': 20, 'unit': 336777944656297169297298411558, 'val': 1}
  • id: 2794815
    {'lmfdb_iso': '55233.g', 'p': 41, 'prec': 20, 'unit': 2703399019174824554956434891527, 'val': 1}
  • id: 2794816
    {'lmfdb_iso': '55233.g', 'p': 43, 'prec': 20, 'unit': 3453122801743061023633694065509, 'val': 1}
  • id: 2794821
    {'lmfdb_iso': '55233.g', 'p': 53, 'prec': 20, 'unit': 192219363195538231988488130509742, 'val': 1}
  • id: 2794826
    {'lmfdb_iso': '55233.g', 'p': 59, 'prec': 20, 'unit': 3830541756243699984777582602547098, 'val': 1}
  • id: 2794827
    {'lmfdb_iso': '55233.g', 'p': 61, 'prec': 20, 'unit': 5525839928548565682603023468111350, 'val': 1}
  • id: 2794811
    {'lmfdb_iso': '55233.g', 'p': 67, 'prec': 20, 'unit': 41046404156348610708269189132462433, 'val': 1}
  • id: 2794825
    {'lmfdb_iso': '55233.g', 'p': 71, 'prec': 20, 'unit': 89863790803221601377413042020586323, 'val': 1}
  • id: 2794822
    {'lmfdb_iso': '55233.g', 'p': 73, 'prec': 20, 'unit': 10552705339832113667935677852151929, 'val': 1}
  • id: 2794819
    {'lmfdb_iso': '55233.g', 'p': 79, 'prec': 20, 'unit': 650922596754184261664819516911223828, 'val': 1}
  • id: 2794820
    {'lmfdb_iso': '55233.g', 'p': 83, 'prec': 20, 'unit': 2426955515144235463274772722253251215, 'val': 1}
  • id: 2794824
    {'lmfdb_iso': '55233.g', 'p': 89, 'prec': 20, 'unit': 1690978296361573989361660189400168884, 'val': 1}
  • id: 2794810
    {'lmfdb_iso': '55233.g', 'p': 97, 'prec': 20, 'unit': 39034824632850472290931231147764465276, 'val': 1}