Elliptic curve data - 34969.f1

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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': '34969g', 'Clabel': '34969g2', 'Cnumber': 2, 'abc_quality': 0.9461121308337243, 'absD': 626066375988934969, 'adelic_genus': 16, 'adelic_index': 480, 'adelic_level': 1496, 'ainvs': [1, 0, 0, -88151, 39371674], 'analytic_rank': 0, 'bad_primes': [11, 17], 'class_deg': 11, 'class_size': 2, 'cm': 0, 'conductor': 34969, 'degree': 315744, 'elladic_images': ['4.2.0.1', '11.60.1.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0975934703116142227707996401', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 11, 'iso_nlabel': 5, 'isogeny_degrees': [1, 11], 'jinv': [-121, 1], 'lmfdb_iso': '34969.f', 'lmfdb_label': '34969.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2, -7], 'min_quad_twist_disc': -187, 'modell_images': ['11B.10.4'], 'modm_images': ['4.2.0.a.1', '11.60.1.b.1', '44.120.6.b.1', '88.240.16.?', '187.120.1.?', '748.240.6.?', '1496.480.16.?'], 'nonmax_primes': [2, 11], 'nonmax_rad': 22, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3172592623818026040722539838', 'prec': 103}, 'szpiro_ratio': 4.635789139174008, '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, -1, -2, -1, -1, 2, -2, 3, 1, 1, 0, 2, -1, 2, 2, -1, 0, -1, -6, 1], 'aplist': [-1, -2, -1, -2, 0, -1, 0, -6, -2, 9, 2, 3, -5, 0, 2, 9, 8, 6, 2, -12, -2, -10, -6, -9, 13], 'class_deg': 11, 'class_size': 2, 'conductor': 34969, 'isogeny_matrix': [[1, 11], [11, 1]], 'lmfdb_iso': '34969.f', 'trace_hash': 1684307528437295877}
• 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': '0.015067925391421400570620942319', 'prec': 107}, 'conductor': 34969, 'gens': [], 'heights': [], 'lmfdb_label': '34969.f1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24733658421136046114321384524', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.24733658421136046114321384523753203745', 'prec': 133}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'o?', '3': [2, 0], '5': [0, 0], '7': [0, 0], '11': 'a', '13': [0, 0], '17': 'a', '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '34969.f1'}
• ec_torsion_growth •

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

  
  
  • id: 1736297
    {'degree': 3, 'field': [2, 4, -1, 1], 'lmfdb_label': '34969.f1', 'torsion': [2]}
  • id: 1736298
    {'degree': 6, 'field': [4, 0, 20, 0, -7, 0, 1], 'lmfdb_label': '34969.f1', 'torsion': [2, 2]}
  • id: 1736299
    {'degree': 8, 'field': [-133713, -66276, -25680, -6234, -1611, -145, -3, 0, 1], 'lmfdb_label': '34969.f1', 'torsion': [3]}
  • id: 1736300
    {'degree': 10, 'field': [43, -389, 166, 987, -526, -464, 210, 68, -26, -3, 1], 'lmfdb_label': '34969.f1', 'torsion': [11]}
  • id: 1736301
    {'degree': 12, 'field': [-1552932, 1201014, 198702, 367164, 43162, -63021, 2415, 2129, -1195, 3, 47, -1, 1], 'lmfdb_label': '34969.f1', 'torsion': [4]}
• 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: 822211
    {'conductor': 34969, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '34969.f1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 822212
    {'conductor': 34969, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '34969.f1', 'prime': 17, '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: 1897814
    {'adelic_gens': [[1, 748, 0, 1], [969, 528, 968, 969], [749, 374, 374, 1], [543, 0, 0, 1359], [1, 0, 748, 1], [749, 748, 1122, 1], [749, 561, 0, 1123], [188, 935, 1309, 375], [749, 748, 748, 749], [1, 0, 528, 1], [1, 612, 0, 1], [439, 0, 0, 1495]], 'adelic_image': '1496.480.16.?', 'conductor': 34969, 'lmfdb_label': '34969.f1', 'prime': 0}
  • id: 155510
    {'conductor': 34969, 'elladic_image': '4.2.0.1', 'lmfdb_label': '34969.f1', 'modell_image': '2G', 'prime': 2}
  • id: 155511
    {'conductor': 34969, 'elladic_image': '11.60.1.4', 'lmfdb_label': '34969.f1', 'modell_image': '11B.10.4', 'prime': 11}
• lmfdb_iso 34969.f does not appear in ec_padic