Elliptic curve data - 11109.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
  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': '11109f', 'Clabel': '11109f1', 'Cnumber': 1, 'abc_quality': 0.7434793360740976, 'absD': 71501334387, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 966, 'ainvs': [0, 1, 1, 882, -7705], 'analytic_rank': 1, 'bad_primes': [3, 7, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 11109, 'degree': 10560, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.76991789499425697251974401389', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1], 'jinv': [512000, 483], 'lmfdb_iso': '11109.k', 'lmfdb_label': '11109.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 2, 1], 'min_quad_twist_disc': -23, 'modell_images': [], 'modm_images': ['966.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.2385675598431012983520545964', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.79782921297031787288363240201', 'prec': 107}, 'szpiro_ratio': 3.4307345723736504, '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, 2, 1, 2, 0, 2, -1, 0, 1, 0, -1, 2, 2, -2, 0, -4, -4, 2, 3, 0], 'aplist': [2, 1, 0, -1, -1, 2, -4, 3, 0, -6, -2, 2, 1, 8, -5, -3, 5, -13, 0, 0, -16, 2, -6, -6, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 11109, 'isogeny_matrix': [[1]], 'lmfdb_iso': '11109.k', 'trace_hash': 1108899969544222287}
• 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': '0.21441630784064935649965838180', 'prec': 103}, 'conductor': 11109, 'gens': [[2225, 131465, 8]], 'heights': [{'__RealLiteral__': 0, 'data': '4.2385675598431012983520545964', 'prec': 100}], 'lmfdb_label': '11109.k1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.59804716789406735307213981764', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.139453300367338300079312735901294564', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 3, 0], '3': [2, 0], '5': [5, 1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': 'a', '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '11109.k1'}
• ec_torsion_growth •

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

  
  
  • id: 576117
    {'degree': 3, 'field': [3, 7, -1, 1], 'lmfdb_label': '11109.k1', 'torsion': [2]}
  • id: 576118
    {'degree': 6, 'field': [1932, 0, 400, 0, 40, 0, 1], 'lmfdb_label': '11109.k1', 'torsion': [2, 2]}
  • id: 576119
    {'degree': 8, 'field': [-29133, -8316, 7704, 1223, -608, -7, 7, -4, 1], 'lmfdb_label': '11109.k1', 'torsion': [3]}
  • id: 576120
    {'degree': 12, 'field': [-10579632, 0, 88672, 0, 169056, 0, 680, 0, -724, 0, 0, 0, 1], 'lmfdb_label': '11109.k1', '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: 237913
    {'conductor': 11109, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11109.k1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 237914
    {'conductor': 11109, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11109.k1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 237915
    {'conductor': 11109, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '11109.k1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'adelic_gens': [[1, 1, 965, 0], [323, 2, 323, 3], [925, 2, 925, 3], [1, 0, 2, 1], [1, 2, 0, 1], [965, 2, 964, 3], [829, 2, 829, 3]], 'adelic_image': '966.2.0.?', 'conductor': 11109, 'lmfdb_label': '11109.k1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 477860
    {'lmfdb_iso': '11109.k', 'p': 11, 'prec': 20, 'unit': 17619123161245644127, 'val': 1}
  • id: 477865
    {'lmfdb_iso': '11109.k', 'p': 13, 'prec': 20, 'unit': 1250302011838330158953, 'val': 1}
  • id: 477867
    {'lmfdb_iso': '11109.k', 'p': 17, 'prec': 20, 'unit': 20293362501814112541045, 'val': 1}
  • id: 477868
    {'lmfdb_iso': '11109.k', 'p': 19, 'prec': 20, 'unit': 594494107696753722687755, 'val': 1}
  • id: 477864
    {'lmfdb_iso': '11109.k', 'p': 29, 'prec': 20, 'unit': 3952229153002488270550438988, 'val': 1}
  • id: 477875
    {'lmfdb_iso': '11109.k', 'p': 31, 'prec': 20, 'unit': 6295480573320765166039427205, 'val': 1}
  • id: 477861
    {'lmfdb_iso': '11109.k', 'p': 37, 'prec': 20, 'unit': 555592223005172251155664326775, 'val': 1}
  • id: 477862
    {'lmfdb_iso': '11109.k', 'p': 41, 'prec': 20, 'unit': 134949711483246051477527464308431, 'val': -1}
  • id: 477863
    {'lmfdb_iso': '11109.k', 'p': 43, 'prec': 20, 'unit': 4469077025112049802722107314250, 'val': 1}
  • id: 477873
    {'lmfdb_iso': '11109.k', 'p': 47, 'prec': 20, 'unit': 50508056850481943976807590235959, 'val': 1}
  • id: 477869
    {'lmfdb_iso': '11109.k', 'p': 53, 'prec': 20, 'unit': 277510394457846191272208715125977, 'val': 1}
  • id: 477870
    {'lmfdb_iso': '11109.k', 'p': 59, 'prec': 20, 'unit': 2995306270544500794748950588363656, 'val': 1}
  • id: 477874
    {'lmfdb_iso': '11109.k', 'p': 61, 'prec': 20, 'unit': 5419996517727981662802686078028460, 'val': 1}
  • id: 477871
    {'lmfdb_iso': '11109.k', 'p': 73, 'prec': 20, 'unit': 248817328585366308042914060209320291, 'val': 1}
  • id: 477866
    {'lmfdb_iso': '11109.k', 'p': 79, 'prec': 20, 'unit': 1054241604711988575654397300990128686, 'val': 1}
  • id: 477859
    {'lmfdb_iso': '11109.k', 'p': 83, 'prec': 20, 'unit': 1210363590951114066035821328375636672, 'val': 1}
  • id: 477872
    {'lmfdb_iso': '11109.k', 'p': 89, 'prec': 20, 'unit': 2708506506373349244910476387000388571, 'val': 1}
  • id: 477858
    {'lmfdb_iso': '11109.k', 'p': 97, 'prec': 20, 'unit': 19978133970286229636758748414165299487, 'val': 1}