Elliptic curve data - 174570.t1

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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': '174570cl', 'Clabel': '174570cl4', 'Cnumber': 4, 'abc_quality': 1.0158633909872032, 'absD': 283893075704352118950, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6072, 'ainvs': [1, 1, 0, -2202502, -963056426], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 174570, 'degree': 7884800, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6357308589019509576280679663', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [7981893677157049, 1917731420550], 'lmfdb_iso': '174570.t', 'lmfdb_label': '174570.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -4163, 77343], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '88.12.0.?', '184.12.0.?', '264.24.0.?', '552.24.0.?', '1012.12.0.?', '2024.24.0.?', '6072.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5845381828676184785420675103', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0679837509373761122246915504', 'prec': 100}, 'szpiro_ratio': 4.592257249996836, '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, 0, -1, 1, -1, -1, -1, 2, 0, -1, 1, 2, -1, -8, 1], 'aplist': [-1, -1, 1, 0, -1, 2, 2, -8, 0, 2, 8, 2, 6, -8, -4, -2, 4, 6, 12, -12, 2, 0, -4, 6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 174570, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '174570.t', 'trace_hash': 1623148830711874324}
• 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': '0.0051360975581709392238516177773', 'prec': 110}, 'conductor': 174570, 'gens': [[-2593, 113683, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '4.5845381828676184785420675103', 'prec': 100}], 'lmfdb_label': '174570.t1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12609152358838707682928505557', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6245712354153083309762595626602956525', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-4709, 4709, 2]], 'xcoord_integral_points': []}
• lmfdb_label 174570.t1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7741965
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '174570.t1', 'torsion': [2, 2]}
  • id: 7741966
    {'degree': 2, 'field': [46, 0, 1], 'lmfdb_label': '174570.t1', 'torsion': [4]}
  • id: 7741967
    {'degree': 2, 'field': [253, 0, 1], 'lmfdb_label': '174570.t1', 'torsion': [4]}
  • id: 7741968
    {'degree': 4, 'field': [289, 0, 12, 0, 1], 'lmfdb_label': '174570.t1', 'torsion': [2, 4]}
  • id: 7741972
    {'degree': 8, 'field': [-510392, 752038, -402377, 90978, -9009, 834, -35, -2, 1], 'lmfdb_label': '174570.t1', 'torsion': [6]}
  • id: 7741970
    {'degree': 8, 'field': [52732, 10032, 2760, 672, 776, -24, 36, 0, 1], 'lmfdb_label': '174570.t1', 'torsion': [8]}
  • id: 7741971
    {'degree': 8, 'field': [343396, 0, 31113, 0, 10523, 0, -57, 0, 1], 'lmfdb_label': '174570.t1', 'torsion': [8]}
  • id: 7741969
    {'degree': 8, 'field': [2456496, 2147200, -64048, -10560, -3172, -880, -68, 0, 1], 'lmfdb_label': '174570.t1', 'torsion': [2, 4]}
  • id: 7741976
    {'degree': 16, 'field': [-24206805869556, -16431955923576, -175152924656, 959734119236, -98736801875, 338144328, 10010329302, -2125631820, 52446747, 13838904, -1363956, 27084, 507, 2424, -242, -4, 1], 'lmfdb_label': '174570.t1', 'torsion': [2, 6]}
  • id: 7741977
    {'degree': 16, 'field': [149426176, 0, -220934272, 0, 71180416, 0, 51564576, 0, 3291696, 0, 90984, 0, 3196, 0, 92, 0, 1], 'lmfdb_label': '174570.t1', 'torsion': [12]}
  • id: 7741974
    {'degree': 16, 'field': [15082050481, 0, 5059777264, 0, 591844892, 0, 28716720, 0, 885878, 0, 48720, 0, 1532, 0, 16, 0, 1], 'lmfdb_label': '174570.t1', 'torsion': [2, 8]}
  • id: 7741973
    {'degree': 16, 'field': [23571767961, -41207720400, 36019280000, 1743488560, 307596202, -301530680, 121580800, -7696480, 391503, -527560, 96800, -17600, 2742, -440, 0, 0, 1], 'lmfdb_label': '174570.t1', 'torsion': [4, 4]}
  • id: 7741975
    {'degree': 16, 'field': [148206520576, 0, 14794289152, 0, 507637328, 0, 19888560, 0, 2127716, 0, -29880, 0, 2948, 0, -32, 0, 1], 'lmfdb_label': '174570.t1', 'torsion': [2, 8]}
  • id: 7741978
    {'degree': 16, 'field': [170518065232, 63335397152, -73368716592, -114024451264, 136575929680, -62859508608, 16714439616, -2941053504, 349229112, -21519144, -759792, 218616, -15707, 1676, -66, -4, 1], 'lmfdb_label': '174570.t1', 'torsion': [12]}
• 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: 4318480
    {'conductor': 174570, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '174570.t1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4318481
    {'conductor': 174570, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '174570.t1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4318482
    {'conductor': 174570, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '174570.t1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4318483
    {'conductor': 174570, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '174570.t1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4318484
    {'conductor': 174570, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '174570.t1', 'prime': 23, '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: 2788856
    {'adelic_gens': [[7, 6, 6066, 6067], [6065, 8, 6064, 9], [1, 0, 8, 1], [2692, 529, 3335, 2646], [1, 8, 0, 1], [1, 4, 4, 17], [4049, 4232, 92, 4785], [760, 1955, 4393, 990], [2111, 0, 0, 6071], [3336, 3473, 4945, 4992]], 'adelic_image': '6072.48.0.?', 'conductor': 174570, 'lmfdb_label': '174570.t1', 'prime': 0}
  • id: 657127
    {'conductor': 174570, 'elladic_image': '4.6.0.1', 'lmfdb_label': '174570.t1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 174570.t does not appear in ec_padic