Elliptic curve data - 26460.bb1

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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': '26460l', 'Clabel': '26460l2', 'Cnumber': 2, 'abc_quality': 1.050821105249477, 'absD': 4762800, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 42, 'ainvs': [0, 0, 0, -21252, -1192471], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 26460, 'degree': 27216, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.90837363213381773865114734591', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1, 3], 'jinv': [-5571867721728, 25], 'lmfdb_iso': '26460.bb', 'lmfdb_label': '26460.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -191268, 32196717], 'min_quad_twist_disc': -3, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0.b.1', '21.8.0-3.a.1.1', '42.16.0-6.b.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1323], [3, 8, 70], [5, 6, 5292], [7, 14, 540]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10474890650709528675350766720', 'prec': 107}, 'szpiro_ratio': 4.0758749488314265, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 0, 0, 0, 1, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, 1, 0, 0, 1, 6, 4, 0, 6, 7, 5, 6, 11, 12, 12, -6, 1, 11, 6, -14, 5, -18, 0, 1], 'class_deg': 3, 'class_size': 2, 'conductor': 26460, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '26460.bb', 'trace_hash': 1930666904430249109}
• 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': '0.16255363595330793958525821832', 'prec': 103}, 'conductor': 26460, 'gens': [], 'heights': [], 'lmfdb_label': '26460.bb1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.19770588963518090628964632359', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5587060134332563132136338246536554914', 'prec': 130}, 'tamagawa_product': 18, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a', '11': [0, 0, 0], '13': [2, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '26460.bb1'}
• ec_torsion_growth •

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

  
  
  • id: 1328676
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '26460.bb1', 'torsion': [3]}
  • id: 1328677
    {'degree': 3, 'field': [-7, 0, 0, 1], 'lmfdb_label': '26460.bb1', 'torsion': [2]}
  • id: 1328679
    {'degree': 6, 'field': [-52500, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '26460.bb1', 'torsion': [3]}
  • id: 1328680
    {'degree': 6, 'field': [7, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '26460.bb1', 'torsion': [6]}
  • id: 1328678
    {'degree': 6, 'field': [64, -24, -15, 7, 6, -3, 1], 'lmfdb_label': '26460.bb1', 'torsion': [2, 2]}
  • id: 1328681
    {'degree': 12, 'field': [-70412, 87624, -49008, -48652, -5283, 888, -4068, -3246, -69, -82, -30, -6, 1], 'lmfdb_label': '26460.bb1', 'torsion': [4]}
  • id: 1328683
    {'degree': 12, 'field': [64, -48, -84, 230, -15, -168, 155, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '26460.bb1', 'torsion': [2, 6]}
  • id: 1328682
    {'degree': 12, 'field': [2756145001, 314994, 787521, -2100050, 787590, 314874, -104859, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '26460.bb1', 'torsion': [3, 3]}
  • id: 1328684
    {'degree': 18, 'field': [297756761, -382349037, 280257486, 455066240, 216448677, 21307143, 6038578, -2087601, -5864268, -1040001, 659070, 131283, -37738, -7821, 1371, 278, -24, -9, 1], 'lmfdb_label': '26460.bb1', 'torsion': [9]}
  • id: 1328685
    {'degree': 18, 'field': [39696257161, 1502980281, -22916984922, 12202918797, -1640427507, -930090762, 387926151, -14194899, -17484327, 4933672, 572985, -220905, 31803, 8946, -1863, 111, 54, -9, 1], 'lmfdb_label': '26460.bb1', 'torsion': [6]}
• 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: 609815
    {'conductor': 26460, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '26460.bb1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 609816
    {'conductor': 26460, 'conductor_valuation': 3, 'discriminant_valuation': 5, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '26460.bb1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
  • id: 609817
    {'conductor': 26460, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '26460.bb1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 609818
    {'conductor': 26460, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '26460.bb1', 'prime': 7, 'reduction_type': 0, '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: 1840649
    {'adelic_gens': [[1, 0, 6, 1], [4, 3, 9, 7], [3, 4, 8, 11], [36, 13, 31, 12], [37, 6, 36, 7], [9, 2, 16, 7], [1, 6, 0, 1]], 'adelic_image': '42.16.0.?', 'conductor': 26460, 'lmfdb_label': '26460.bb1', 'prime': 0}
  • id: 120141
    {'conductor': 26460, 'elladic_image': '3.4.0.1', 'lmfdb_label': '26460.bb1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 26460.bb does not appear in ec_padic