Elliptic curve data - 43095.n1

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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': '43095f', 'Clabel': '43095f4', 'Cnumber': 4, 'abc_quality': 0.9055394040805026, 'absD': 78612283325355, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26520, 'ainvs': [1, 1, 0, -176777, -28678554], 'analytic_rank': 0, 'bad_primes': [3, 5, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 43095, 'degree': 301056, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6874297402933499817014136423', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [126574061279329, 16286595], 'lmfdb_iso': '43095.n', 'lmfdb_label': '43095.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1046, -13456], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '156.12.0.?', '408.12.0.?', '780.24.0.?', '1768.12.0.?', '2040.24.0.?', '5304.24.0.?', '8840.24.0.?', '26520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 2535], [3, 4, 14365], [5, 6, 8619], [13, 98, 255], [17, 18, 2535]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40495506156258161367466992152', 'prec': 103}, 'szpiro_ratio': 4.4851295197006, '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, -1, -1, 1, -1, 4, -3, 1, 1, 4, 1, 0, 4, -1, -1, -1, 1, 4, -1], 'aplist': [1, -1, 1, 4, 4, 0, -1, 4, 0, -6, 0, 10, 10, -12, 8, 2, 0, -2, -4, 8, -2, -4, -12, 10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 43095, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '43095.n', 'trace_hash': 1244539774454429144}
• 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': '0.034222926959421689432280504996', 'prec': 107}, 'conductor': 43095, 'gens': [], 'heights': [], 'lmfdb_label': '43095.n1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.23283386536930229911850509874', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7253418459088367858960815797934317035', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-981, 981, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 2], '3': [0, 0], '5': [1, 0], '13': 'a', '17': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '43095.n1'}
• ec_torsion_growth •

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

  
  
  • id: 2110787
    {'degree': 2, 'field': [-195, 0, 1], 'lmfdb_label': '43095.n1', 'torsion': [2, 2]}
  • id: 2110789
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '43095.n1', 'torsion': [4]}
  • id: 2110788
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '43095.n1', 'torsion': [4]}
  • id: 2110790
    {'degree': 4, 'field': [30, -30, 31, -2, 1], 'lmfdb_label': '43095.n1', 'torsion': [2, 4]}
  • id: 2110794
    {'degree': 8, 'field': [-572881, -220151, 222896, -5491, 2749, -7, 7, -4, 1], 'lmfdb_label': '43095.n1', 'torsion': [6]}
  • id: 2110792
    {'degree': 8, 'field': [140625, 0, 16425, 0, 510, 0, 3, 0, 1], 'lmfdb_label': '43095.n1', 'torsion': [8]}
  • id: 2110791
    {'degree': 8, 'field': [3067741, 28084, -31588, 7012, -3515, 8, 2, -4, 1], 'lmfdb_label': '43095.n1', 'torsion': [2, 4]}
  • id: 2110793
    {'degree': 8, 'field': [903303025, 0, -22046200, 0, 204510, 0, -760, 0, 1], 'lmfdb_label': '43095.n1', 'torsion': [8]}
  • id: 2110799
    {'degree': 16, 'field': [3869835264, 0, 1836380160, 0, 534200832, 0, 25505280, 0, 859005, 0, 42435, 0, 378, 0, 0, 0, 1], 'lmfdb_label': '43095.n1', 'torsion': [12]}
  • id: 2110797
    {'degree': 16, 'field': [5112250000, 0, 2263300000, 0, 986507500, 0, -33282500, 0, -1832075, 0, 34330, 0, 1879, 0, 46, 0, 1], 'lmfdb_label': '43095.n1', 'torsion': [2, 8]}
  • id: 2110798
    {'degree': 16, 'field': [10665725625, 0, 18423288000, 0, 7974239400, 0, -664902675, 0, 26462700, 0, -808785, 0, 11710, 0, -175, 0, 1], 'lmfdb_label': '43095.n1', 'torsion': [2, 6]}
  • id: 2110800
    {'degree': 16, 'field': [2805824889201, -314284636728, 365355458099, -103472611990, 55039769090, -3897466646, 1189210369, 91812472, -19875795, -2121120, 494415, -39092, 7213, -350, 70, -8, 1], 'lmfdb_label': '43095.n1', 'torsion': [12]}
  • id: 2110795
    {'degree': 16, 'field': [9411034843081, 0, 194596316472, 0, -20962267502, 0, -184717116, 0, 18476835, 0, 21204, 0, -6962, 0, 12, 0, 1], 'lmfdb_label': '43095.n1', 'torsion': [4, 4]}
  • id: 2110796
    {'degree': 16, 'field': [503571821444836, 0, -61680715265352, 0, 3362938945528, 0, -93595878804, 0, 3413771205, 0, 59374056, 0, 354178, 0, 948, 0, 1], 'lmfdb_label': '43095.n1', 'torsion': [2, 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: 1022986
    {'conductor': 43095, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '43095.n1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1022987
    {'conductor': 43095, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '43095.n1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1022988
    {'conductor': 43095, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '43095.n1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1022989
    {'conductor': 43095, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '43095.n1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1951234
    {'adelic_gens': [[26513, 8, 26512, 9], [12481, 8, 23404, 33], [1, 0, 8, 1], [1, 8, 0, 1], [17684, 1, 8863, 6], [1, 4, 4, 17], [16312, 26517, 10195, 26518], [10616, 3, 5, 2], [7, 6, 26514, 26515], [16579, 16578, 23218, 9955], [16576, 3323, 16579, 16608]], 'adelic_image': '26520.48.0.?', 'conductor': 43095, 'lmfdb_label': '43095.n1', 'prime': 0}
  • id: 187835
    {'conductor': 43095, 'elladic_image': '4.6.0.1', 'lmfdb_label': '43095.n1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 43095.n does not appear in ec_padic