Elliptic curve data - 141570.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
  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': '141570dr', 'Clabel': '141570dr2', 'Cnumber': 2, 'abc_quality': 1.0229491064938572, 'absD': 2308908185965578891435730560, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -340761735, -719181065795], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 141570, 'degree': 72253440, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9421217139249898157006799767', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [3388383326345613179401, 1787816842064922240], 'lmfdb_iso': '141570.k', 'lmfdb_label': '141570.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -312912, -20145024], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '156.6.0.?', '1560.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5445], [3, 8, 1210], [5, 6, 28314], [7, 2, 70785], [11, 72, 1170], [13, 14, 10890]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1938679331917496979720855693', 'prec': 100}, 'szpiro_ratio': 5.948601689818263, '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, -1, 0, 1, -1, 0, -2, -1, 0, 1, 0, 0, 1, 2, 0, 1, 4, 0, 2, -1], 'aplist': [-1, 0, -1, -2, 0, 1, 4, 2, 6, -4, -8, 2, 2, 12, 0, -2, 4, 10, 8, 16, 8, 0, 4, -6, 4], 'class_deg': 2, 'class_size': 2, 'conductor': 141570, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '141570.k', 'trace_hash': 1961832468157531475}
• 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': '0.00037663145264478999880749387293', 'prec': 113}, 'conductor': 141570, 'gens': [], 'heights': [], 'lmfdb_label': '141570.k1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.037282618323232572420471496669', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7895656795151634761826318401131965921', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-8557, 8557, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [0, 0], '11': 'a', '13': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '141570.k1'}
• ec_torsion_growth •

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

  
  
  • id: 6401171
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '141570.k1', 'torsion': [2, 2]}
  • id: 6401172
    {'degree': 4, 'field': [10890, 0, -33, 0, 1], 'lmfdb_label': '141570.k1', 'torsion': [4]}
  • id: 6401175
    {'degree': 8, 'field': [-404, 833, -320, -503, 245, 1, -5, -4, 1], 'lmfdb_label': '141570.k1', 'torsion': [6]}
  • id: 6401173
    {'degree': 8, 'field': [16900, 0, 2340, 0, 14069, 0, 216, 0, 1], 'lmfdb_label': '141570.k1', 'torsion': [2, 4]}
  • id: 6401174
    {'degree': 8, 'field': [1156761, -979884, -13830, 39984, -19841, 824, 30, -4, 1], 'lmfdb_label': '141570.k1', 'torsion': [2, 4]}
  • id: 6401177
    {'degree': 16, 'field': [14988726, 130391856, -43373451, 22605504, -12471528, -15053598, 5183235, 85392, -443783, 298426, -21845, -22216, 2687, 602, -74, -8, 1], 'lmfdb_label': '141570.k1', 'torsion': [2, 6]}
  • id: 6401176
    {'degree': 16, 'field': [101010158245161, 0, -3618871532595, 0, -45630287010, 0, 4241839767, 0, 54799690, 0, -631697, 0, -7530, 0, 85, 0, 1], 'lmfdb_label': '141570.k1', '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: 3499488
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '141570.k1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3499489
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 20, 'j_denominator_valuation': 14, 'kodaira_symbol': -18, 'lmfdb_label': '141570.k1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3499490
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '141570.k1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3499491
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '141570.k1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3499492
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '141570.k1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
• ec_galrep •

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

  
  
  • id: 2584472
    {'adelic_gens': [[521, 4, 1042, 9], [314, 1, 623, 0], [1, 2, 2, 5], [2, 1, 779, 0], [1, 4, 0, 1], [1081, 4, 602, 9], [1557, 4, 1556, 5], [977, 586, 584, 975], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '1560.12.0.?', 'conductor': 141570, 'lmfdb_label': '141570.k1', 'prime': 0}
  • id: 547345
    {'conductor': 141570, 'elladic_image': '2.3.0.1', 'lmfdb_label': '141570.k1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 141570.k does not appear in ec_padic