Elliptic curve data - 11466.k2

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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': '11466x', 'Clabel': '11466x1', 'Cnumber': 1, 'abc_quality': 1.0387829692161805, 'absD': 257042036557894783104, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 2184, 'ainvs': [1, -1, 0, 314865, -768440723], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 11466, 'degree': 451584, 'elladic_images': ['7.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5958538183607712708226164821', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 7], 'jinv': [40251338884511, 2997011332224], 'lmfdb_iso': '11466.k', 'lmfdb_label': '11466.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 714, -82908], 'min_quad_twist_disc': 21, 'modell_images': ['7B.6.1'], 'modm_images': ['7.24.0.a.1', '21.48.0-7.a.1.1', '728.48.0.?', '2184.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5733], [3, 8, 1274], [7, 26, 117], [13, 14, 882]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0735925994990597725723174919', 'prec': 100}, 'szpiro_ratio': 5.824528186260765, '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, 0, 1, -1, 0, 0, -1, 0, 1, -5, 0, 1, 0, 0, 1, -3, 0, 1, -1], 'aplist': [-1, 0, -1, 0, -5, 1, -3, 1, -3, -9, -4, -11, 0, -5, -8, 2, 4, 15, -2, 12, -11, 10, -14, 6, 14], 'class_deg': 7, 'class_size': 2, 'conductor': 11466, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '11466.k', 'trace_hash': 1011688163043155724}
• 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': '0.0055624999708983123241657721339', 'prec': 110}, 'conductor': 11466, 'gens': [], 'heights': [], 'lmfdb_label': '11466.k2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.083283411430383867313379958591', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.33313364572153546925351983436209319005', 'prec': 133}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '5': [0, 0], '7': 'a', '11': [0, 0], '13': [3, 0], '17': [0, 0], '19': [2, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '11466.k2'}
• ec_torsion_growth •

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

  
  
  • id: 592820
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '11466.k2', 'torsion': [7]}
  • id: 592821
    {'degree': 3, 'field': [-9, 13, -1, 1], 'lmfdb_label': '11466.k2', 'torsion': [2]}
  • id: 592823
    {'degree': 6, 'field': [-27, -9, -12, -3, 4, -1, 1], 'lmfdb_label': '11466.k2', 'torsion': [14]}
  • id: 592822
    {'degree': 6, 'field': [2328, -2136, 574, -20, -3, -2, 1], 'lmfdb_label': '11466.k2', 'torsion': [2, 2]}
  • id: 592824
    {'degree': 8, 'field': [-26199, -8952, 3460, 1248, 30, -40, -12, 0, 1], 'lmfdb_label': '11466.k2', 'torsion': [3]}
  • id: 592826
    {'degree': 12, 'field': [2625, -9450, 13885, -38, 2034, -4810, 2501, -258, 98, -22, -3, -2, 1], 'lmfdb_label': '11466.k2', 'torsion': [2, 14]}
  • id: 592825
    {'degree': 12, 'field': [10528, -99120, 287406, -209594, -137379, -62880, 1020, 2946, 1167, -68, -24, -6, 1], 'lmfdb_label': '11466.k2', 'torsion': [4]}
  • id: 592827
    {'degree': 16, 'field': [307377, -225792, 645624, -403872, -808710, 999432, 904, -245288, 14415, 24752, 1016, -2568, -118, 224, -12, -8, 1], 'lmfdb_label': '11466.k2', 'torsion': [21]}
• 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: 245919
    {'conductor': 11466, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '11466.k2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 245920
    {'conductor': 11466, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '11466.k2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 245921
    {'conductor': 11466, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '11466.k2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 245922
    {'conductor': 11466, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11466.k2', 'prime': 13, 'reduction_type': 1, '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: 1739994
    {'adelic_gens': [[2171, 14, 2170, 15], [1, 14, 0, 1], [727, 2170, 721, 2085], [1093, 14, 1099, 99], [1, 0, 14, 1], [1637, 1078, 539, 1383], [8, 5, 91, 57], [1639, 14, 553, 99], [2017, 14, 1015, 99]], 'adelic_image': '2184.96.2.?', 'conductor': 11466, 'lmfdb_label': '11466.k2', 'prime': 0}
  • id: 54958
    {'conductor': 11466, 'elladic_image': '7.24.0.1', 'lmfdb_label': '11466.k2', 'modell_image': '7B.6.1', 'prime': 7}
• lmfdb_iso 11466.k does not appear in ec_padic