Elliptic curve data - 266560.dp1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '266560dp', 'Clabel': '266560dp2', 'Cnumber': 2, 'abc_quality': 0.9714668238019474, 'absD': 838888482634779852800, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 952, 'ainvs': [0, 0, 0, -12999308, -17985762032], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 266560, 'degree': 8847360, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8779545133861410899296133025', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 93, 'isogeny_degrees': [1, 2], 'jinv': [7876916680687209, 27200448800], 'lmfdb_iso': '266560.dp', 'lmfdb_label': '266560.dp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -4145, -101379], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '476.6.0.?', '952.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.417829462146216066315859045', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 49], [5, 6, 53312], [7, 32, 5440], [17, 18, 15680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86527866801856647325108874859', 'prec': 103}, 'szpiro_ratio': 4.862971142901973, '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, 0, 0, 0, -1, 0, 0, 0, -3, 0, 2, 0, 0, 0, 0, 0, -1, 0, 6, 0], 'aplist': [0, 0, -1, 0, 2, 0, -1, 6, 0, 0, 0, 8, -6, -12, -4, 6, -6, -2, -8, 0, 6, 0, 6, 6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 266560, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '266560.dp', 'trace_hash': 710535536465051867}
• 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': '0.0031640291162252396530218165709', 'prec': 110}, 'conductor': 266560, 'gens': [[-1033599, 63520415, 22]], 'heights': [{'__RealLiteral__': 0, 'data': '10.417829462146216066315859045', 'prec': 100}], 'lmfdb_label': '266560.dp1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.079526098267876539092977682292', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6279146363569549631967601203946580590', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-1988, 0, 1]], 'xcoord_integral_points': [-1988]}
• lmfdb_label 266560.dp1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11406901
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '266560.dp1', 'torsion': [2, 2]}
  • id: 11406902
    {'degree': 4, 'field': [32, 0, 3, 0, 1], 'lmfdb_label': '266560.dp1', 'torsion': [4]}
  • id: 11406905
    {'degree': 8, 'field': [-115248, 0, -98784, 0, 1176, 0, 0, 0, 1], 'lmfdb_label': '266560.dp1', 'torsion': [6]}
  • id: 11406904
    {'degree': 8, 'field': [1764, 0, 868, 0, 85, 0, -2, 0, 1], 'lmfdb_label': '266560.dp1', 'torsion': [2, 4]}
  • id: 11406903
    {'degree': 8, 'field': [30625, 0, -122500, 0, 5300, 0, -100, 0, 1], 'lmfdb_label': '266560.dp1', 'torsion': [2, 4]}
  • id: 11406907
    {'degree': 16, 'field': [942919849, 0, -464882056, 0, 163407580, 0, -7245952, 0, -608930, 0, -22792, 0, 700, 0, -16, 0, 1], 'lmfdb_label': '266560.dp1', 'torsion': [2, 6]}
  • id: 11406906
    {'degree': 16, 'field': [5346992401, -4262437138, 2617783627, -1176756854, 483654661, -151011028, 50153530, -11859408, 3269578, -616576, 147686, -19908, 4585, -350, 95, -2, 1], 'lmfdb_label': '266560.dp1', 'torsion': [8]}
• 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: 6607937
    {'conductor': 266560, 'conductor_valuation': 6, 'discriminant_valuation': 23, 'j_denominator_valuation': 5, 'kodaira_symbol': -17, 'lmfdb_label': '266560.dp1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6607938
    {'conductor': 266560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '266560.dp1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6607939
    {'conductor': 266560, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '266560.dp1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6607940
    {'conductor': 266560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '266560.dp1', 'prime': 17, 'reduction_type': -1, '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: 3350775
    {'adelic_gens': [[409, 4, 818, 9], [1, 2, 2, 5], [121, 834, 832, 119], [1, 4, 0, 1], [1, 0, 4, 1], [3, 4, 8, 11], [949, 4, 948, 5], [785, 4, 618, 9], [2, 1, 475, 0]], 'adelic_image': '952.12.0.?', 'conductor': 266560, 'lmfdb_label': '266560.dp1', 'prime': 0}
  • id: 954698
    {'conductor': 266560, 'elladic_image': '8.6.0.6', 'lmfdb_label': '266560.dp1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 266560.dp does not appear in ec_padic