Elliptic curve data - 5054.c6

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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': '5054c', 'Clabel': '5054c3', 'Cnumber': 3, 'abc_quality': 0.9869508090989833, 'absD': 1032751179712, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 9576, 'ainvs': [1, 1, 1, 1617, 42677], 'analytic_rank': 0, 'bad_primes': [2, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 5054, 'degree': 7128, 'elladic_images': ['8.6.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98944073539227718717905739159', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 21952], 'lmfdb_iso': '5054.c', 'lmfdb_label': '5054.c6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, -6], 'min_quad_twist_disc': -19, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.c.1', '14.6.0.b.1', '24.72.1.n.1', '42.72.1.d.1', '56.12.0.n.1', '57.24.0-3.a.1.1', '63.36.0.a.1', '114.72.0.?', '126.216.7.?', '168.144.5.?', '456.144.1.?', '504.432.21.?', '798.144.1.?', '1197.72.0.?', '2394.432.7.?', '3192.288.5.?', '9576.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632435', 'prec': 107}, 'szpiro_ratio': 4.082366690798771, '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, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 4, 1, 0, 1, 6, 1, 0, 0], 'aplist': [1, 2, 0, 1, 0, 4, 6, 0, 0, 6, 4, -2, -6, 8, -12, -6, 6, 8, 4, 0, 2, -8, -6, 6, 10], 'class_deg': 18, 'class_size': 6, 'conductor': 5054, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '5054.c', 'trace_hash': 346606733482046324}
• 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': '0.13822375818852716771041341941', 'prec': 103}, 'conductor': 5054, 'gens': [], 'heights': [], 'lmfdb_label': '5054.c6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.60817709098151674228887984272', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4735938188336506805999185845067634179', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [[-21, 10, 1]], 'xcoord_integral_points': [-21]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [2, 0], '7': [1, 0], '19': 'a'}, 'iwp0': 5, 'lmfdb_label': '5054.c6'}
• ec_torsion_growth •

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

  
  
  • id: 264873
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '5054.c6', 'torsion': [6]}
  • id: 264872
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '5054.c6', 'torsion': [2, 2]}
  • id: 264874
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '5054.c6', 'torsion': [6]}
  • id: 264875
    {'degree': 4, 'field': [-146, -28, -9, -2, 1], 'lmfdb_label': '5054.c6', 'torsion': [4]}
  • id: 264878
    {'degree': 4, 'field': [9, 0, 13, 0, 1], 'lmfdb_label': '5054.c6', 'torsion': [2, 6]}
  • id: 264876
    {'degree': 4, 'field': [25, -5, -4, -1, 1], 'lmfdb_label': '5054.c6', 'torsion': [3, 6]}
  • id: 264877
    {'degree': 4, 'field': [256, 0, -25, 0, 1], 'lmfdb_label': '5054.c6', 'torsion': [2, 6]}
  • id: 264881
    {'degree': 8, 'field': [81, 0, -117, 0, 160, 0, -13, 0, 1], 'lmfdb_label': '5054.c6', 'torsion': [6, 6]}
  • id: 264883
    {'degree': 8, 'field': [644, 280, 454, 40, 131, -4, 18, 0, 1], 'lmfdb_label': '5054.c6', 'torsion': [12]}
  • id: 264882
    {'degree': 8, 'field': [1246, 1848, -2827, 694, 141, -92, 15, -2, 1], 'lmfdb_label': '5054.c6', 'torsion': [12]}
  • id: 264880
    {'degree': 8, 'field': [3266, 1784, -233, -242, 17, 36, -3, -2, 1], 'lmfdb_label': '5054.c6', 'torsion': [2, 4]}
  • id: 264879
    {'degree': 8, 'field': [34622, 8358, 5817, 462, 333, 38, 19, -2, 1], 'lmfdb_label': '5054.c6', 'torsion': [2, 4]}
  • id: 264887
    {'degree': 16, 'field': [67676, 145264, 25928, 70028, 166133, -104630, 168022, -85742, 66166, -23908, 12410, -3074, 1174, -182, 54, -4, 1], 'lmfdb_label': '5054.c6', 'torsion': [2, 12]}
  • id: 264889
    {'degree': 16, 'field': [100004, -238632, 351536, -440052, 391359, -319992, 225146, -120732, 70984, -25012, 12388, -2848, 1178, -168, 56, -4, 1], 'lmfdb_label': '5054.c6', 'torsion': [2, 12]}
  • id: 264885
    {'degree': 16, 'field': [414736, -180320, -213976, -75600, 110552, 57776, -33570, -13912, 8505, 1684, -1434, 32, 193, -8, -18, 0, 1], 'lmfdb_label': '5054.c6', 'torsion': [3, 12]}
  • id: 264888
    {'degree': 16, 'field': [10342144, -50432, -62208, 203296, -37564, -101360, 71516, -26960, 1497, 1376, 1520, -584, -206, 112, 4, -8, 1], 'lmfdb_label': '5054.c6', 'torsion': [2, 12]}
  • id: 264884
    {'degree': 16, 'field': [17386624, 23996416, 13635840, 6857344, 557808, -331840, -483216, -169536, -41572, -4528, 1912, 32, 100, -56, 8, 0, 1], 'lmfdb_label': '5054.c6', 'torsion': [8]}
  • id: 264886
    {'degree': 16, 'field': [24981376, 702464, 944720, -3744384, 3025372, -1462244, 617064, -109102, 25019, 958, 574, -714, 392, -154, 42, -8, 1], 'lmfdb_label': '5054.c6', 'torsion': [2, 12]}
  • id: 264891
    {'degree': 18, 'field': [1953125, 0, 0, 656250, 0, 0, 167625, 0, 0, -23506, 0, 0, 1838, 0, 0, -56, 0, 0, 1], 'lmfdb_label': '5054.c6', 'torsion': [18]}
  • id: 264890
    {'degree': 18, 'field': [3212334208, -8176603584, 942307296, 6577336148, -584112252, -1952315268, 142536572, 306773124, -22150944, -28817065, 2244489, 1677408, -144496, -59214, 5646, 1148, -120, -9, 1], 'lmfdb_label': '5054.c6', '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: 98239
    {'conductor': 5054, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '5054.c6', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 98240
    {'conductor': 5054, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '5054.c6', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 98241
    {'conductor': 5054, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '5054.c6', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1697024
    {'adelic_gens': [[8893, 9348, 1026, 9235], [1, 36, 0, 1], [1, 0, 36, 1], [2110, 6555, 3933, 4732], [4789, 2052, 1026, 8209], [4789, 2052, 0, 533], [1, 6, 6, 37], [9541, 36, 9540, 37], [19, 24, 1440, 1819], [8567, 0, 0, 9575]], 'adelic_image': '9576.864.21.?', 'conductor': 5054, 'lmfdb_label': '5054.c6', 'prime': 0}
  • id: 25158
    {'conductor': 5054, 'elladic_image': '8.6.0.1', 'lmfdb_label': '5054.c6', 'modell_image': '2B', 'prime': 2}
  • id: 25159
    {'conductor': 5054, 'elladic_image': '3.12.0.1', 'lmfdb_label': '5054.c6', 'modell_image': '3Cs', 'prime': 3}
• lmfdb_iso 5054.c does not appear in ec_padic