Elliptic curve data - 6150.k1

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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': '6150c', 'Clabel': '6150c3', 'Cnumber': 3, 'abc_quality': 0.988826521190976, 'absD': 2423003906250000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2460, 'ainvs': [1, 1, 0, -318900, -69408000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 41], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 6150, 'degree': 82944, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8901046748623803679026784438', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [229545811016693569, 155072250000], 'lmfdb_iso': '6150.k', 'lmfdb_label': '6150.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -12756, -555264], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.8', '15.8.0-3.a.1.1', '20.6.0.b.1', '30.24.0-6.a.1.1', '60.48.0-60.p.1.12', '82.6.0.?', '246.24.0.?', '492.48.0.?', '820.12.0.?', '1230.48.0.?', '2460.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4763405166256342226658469189', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1025], [3, 4, 50], [5, 18, 246], [41, 42, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0853857186453301806022987772', 'prec': 100}, 'szpiro_ratio': 5.688941635474243, '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, 0, 1, 4, -1, 1, 0, -6, -1, 4, -4, 0, 1, 0, -1, 2, 0], 'aplist': [-1, -1, 0, 4, -6, 4, 0, 2, 0, -6, -4, -2, -1, 4, 0, -12, 0, 2, -8, -6, -2, -10, 12, 6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 6150, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '6150.k', 'trace_hash': 1613007711471512333}
• 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': '0.022817914001018489779255796279', 'prec': 107}, 'conductor': 6150, 'gens': [[-324, 348, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.4763405166256342226658469189', 'prec': 100}], 'lmfdb_label': '6150.k1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20091083500355659432790280935', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7937379038078059481746427322234252389', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-320, 160, 1]], 'xcoord_integral_points': [-324, -320, 2805]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [1, 1], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '6150.k1'}
• ec_torsion_growth •

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

  
  
  • id: 320587
    {'degree': 2, 'field': [-10, -1, 1], 'lmfdb_label': '6150.k1', 'torsion': [2, 2]}
  • id: 320588
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '6150.k1', 'torsion': [6]}
  • id: 320589
    {'degree': 4, 'field': [4, -4, 10, -2, 1], 'lmfdb_label': '6150.k1', 'torsion': [4]}
  • id: 320590
    {'degree': 4, 'field': [196, 0, -13, 0, 1], 'lmfdb_label': '6150.k1', 'torsion': [2, 6]}
  • id: 320591
    {'degree': 6, 'field': [191, -111, 36, -19, 0, -3, 1], 'lmfdb_label': '6150.k1', 'torsion': [6]}
  • id: 320593
    {'degree': 8, 'field': [81, 144, 251, 376, 208, 18, -1, -2, 1], 'lmfdb_label': '6150.k1', 'torsion': [2, 4]}
  • id: 320594
    {'degree': 8, 'field': [276, -180, 238, -126, 89, -34, 16, -4, 1], 'lmfdb_label': '6150.k1', 'torsion': [12]}
  • id: 320592
    {'degree': 8, 'field': [250000, 0, -9915, 0, -1606, 0, -6, 0, 1], 'lmfdb_label': '6150.k1', 'torsion': [2, 4]}
  • id: 320596
    {'degree': 12, 'field': [-395055, 1901880, 125739, -251448, 178038, 8568, -22481, 0, 1830, -48, -69, 0, 1], 'lmfdb_label': '6150.k1', 'torsion': [2, 6]}
  • id: 320595
    {'degree': 12, 'field': [144, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '6150.k1', 'torsion': [3, 6]}
  • id: 320599
    {'degree': 16, 'field': [305044, -878672, 1318312, -1361948, 1053593, -535166, 108126, 56938, -44446, 5324, 5730, -2482, 50, 170, -26, -4, 1], 'lmfdb_label': '6150.k1', 'torsion': [2, 12]}
  • id: 320598
    {'degree': 16, 'field': [1764000, 75600, 21810, -196110, 109939, -40116, 61600, -52592, 29490, -14598, 6928, -2592, 796, -196, 48, -8, 1], 'lmfdb_label': '6150.k1', 'torsion': [2, 12]}
  • id: 320597
    {'degree': 16, 'field': [2452356, 0, 1355616, 0, 321732, 0, 63468, 0, 19125, 0, 4292, 0, 462, 0, 24, 0, 1], 'lmfdb_label': '6150.k1', 'torsion': [8]}
  • id: 320600
    {'degree': 18, 'field': [17971763853744, -6862959136656, 5256844369200, -838723722768, 375883565040, -98239921416, 20372929884, -4994385480, 678375972, -140915580, 24468390, -2250720, 349405, -33330, 4815, -568, 42, 0, 1], 'lmfdb_label': '6150.k1', '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: 122581
    {'conductor': 6150, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6150.k1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 122582
    {'conductor': 6150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6150.k1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 122583
    {'conductor': 6150, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '6150.k1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 122584
    {'conductor': 6150, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6150.k1', 'prime': 41, '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: 1704296
    {'adelic_gens': [[2110, 3, 453, 2452], [2449, 12, 2448, 13], [1, 0, 12, 1], [983, 2448, 978, 2387], [1, 6, 6, 37], [2259, 1438, 1046, 221], [1, 12, 0, 1], [11, 2, 2410, 2451], [821, 12, 820, 1]], 'adelic_image': '2460.96.1.?', 'conductor': 6150, 'lmfdb_label': '6150.k1', 'prime': 0}
  • id: 30264
    {'conductor': 6150, 'elladic_image': '2.3.0.1', 'lmfdb_label': '6150.k1', 'modell_image': '2B', 'prime': 2}
  • id: 30265
    {'conductor': 6150, 'elladic_image': '3.4.0.1', 'lmfdb_label': '6150.k1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 238993
    {'lmfdb_iso': '6150.k', 'p': 7, 'prec': 20, 'unit': 6418979110571200, 'val': 1}
  • id: 238999
    {'lmfdb_iso': '6150.k', 'p': 11, 'prec': 20, 'unit': 28154666126900441948, 'val': 1}
  • id: 238997
    {'lmfdb_iso': '6150.k', 'p': 13, 'prec': 20, 'unit': 691669116919904626532, 'val': 1}
  • id: 239000
    {'lmfdb_iso': '6150.k', 'p': 19, 'prec': 20, 'unit': 1359646622937186332716385, 'val': 1}
  • id: 238996
    {'lmfdb_iso': '6150.k', 'p': 29, 'prec': 20, 'unit': 2752733944859033352781010216, 'val': 1}
  • id: 239005
    {'lmfdb_iso': '6150.k', 'p': 31, 'prec': 20, 'unit': 13909656983984116143897930144, 'val': 1}
  • id: 238992
    {'lmfdb_iso': '6150.k', 'p': 37, 'prec': 20, 'unit': 314671707127921799615870148612, 'val': 1}
  • id: 238995
    {'lmfdb_iso': '6150.k', 'p': 43, 'prec': 20, 'unit': 3580695332540712947031026536832, 'val': 1}
  • id: 239001
    {'lmfdb_iso': '6150.k', 'p': 53, 'prec': 20, 'unit': 263327226540109414964363629441386, 'val': 1}
  • id: 239004
    {'lmfdb_iso': '6150.k', 'p': 61, 'prec': 20, 'unit': 4302998384396638191496618788411515, 'val': 1}
  • id: 238991
    {'lmfdb_iso': '6150.k', 'p': 67, 'prec': 20, 'unit': 43083174302723086340182922574110651, 'val': 1}
  • id: 239003
    {'lmfdb_iso': '6150.k', 'p': 71, 'prec': 20, 'unit': 14424587949932875398268124673655588, 'val': 1}
  • id: 238994
    {'lmfdb_iso': '6150.k', 'p': 73, 'prec': 20, 'unit': 98455679410623422841856608963343831, 'val': 1}
  • id: 238998
    {'lmfdb_iso': '6150.k', 'p': 79, 'prec': 20, 'unit': 934782309198254360979509563537446145, 'val': 1}
  • id: 238990
    {'lmfdb_iso': '6150.k', 'p': 83, 'prec': 20, 'unit': 491168476600551667801548519920261462, 'val': 1}
  • id: 239002
    {'lmfdb_iso': '6150.k', 'p': 89, 'prec': 20, 'unit': 7177755826941370298916160987829523135, 'val': 1}
  • id: 238989
    {'lmfdb_iso': '6150.k', 'p': 97, 'prec': 20, 'unit': 12319206319862567037727859496080782928, 'val': 1}