Elliptic curve data - 19890.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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '19890r', 'Clabel': '19890r7', 'Cnumber': 7, 'abc_quality': 1.0592098442882552, 'absD': 75244679647312500, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 5304, 'ainvs': [1, -1, 0, -59319000054, 5560834936210128], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 19890, 'degree': 26542080, 'elladic_images': ['4.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3235032660367804778907098551', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'intrinsic_torsion': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [31664865542564944883878115208137569, 103216295812500], 'lmfdb_iso': '19890.n', 'lmfdb_label': '19890.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6591000006, -205956849489264], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.c.1', '6.24.0-6.a.1.4', '12.96.0-12.c.4.5', '26.6.0.b.1', '52.12.0.g.1', '78.48.0.?', '136.12.0.?', '156.192.1.?', '408.192.1.?', '1768.24.0.?', '5304.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 117], [3, 8, 34], [5, 6, 3978], [13, 14, 1530], [17, 18, 1170]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.7741971217027256321930872366', 'prec': 100}, 'szpiro_ratio': 8.691900350138177, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
• 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, -4, -1, 0, -1, 0, 0, 1, 4, 0, 1, -1, 0, -4, 1], 'aplist': [-1, 0, 1, -4, 0, 1, -1, -4, 0, -6, -4, 2, -6, -4, 0, -6, 12, -10, -4, 12, -10, -16, 12, 6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 19890, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '19890.n', 'trace_hash': 2182178410557559894}
• 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': '0.00017565187018692585381305789781', 'prec': 113}, 'conductor': 19890, 'gens': [], 'heights': [], 'lmfdb_label': '19890.n1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.072629268509530896640947706996', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.58103414807624717312758165597000541991', 'prec': 133}, 'tamagawa_product': 288, 'torsion_generators': [[141267, 352029, 1]], 'xcoord_integral_points': [140617, 141267]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': [1, 0], '13': [1, 0], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '19890.n1'}
• ec_torsion_growth •

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

  
  
  • id: 1015707
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '19890.n1', 'torsion': [12]}
  • id: 1015705
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '19890.n1', 'torsion': [2, 6]}
  • id: 1015706
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '19890.n1', 'torsion': [12]}
  • id: 1015708
    {'degree': 4, 'field': [-3, 12, -11, -2, 1], 'lmfdb_label': '19890.n1', 'torsion': [2, 12]}
  • id: 1015709
    {'degree': 6, 'field': [13872, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '19890.n1', 'torsion': [3, 6]}
  • id: 1015711
    {'degree': 8, 'field': [1690000, 0, -390000, 0, 23825, 0, -300, 0, 1], 'lmfdb_label': '19890.n1', 'torsion': [24]}
  • id: 1015710
    {'degree': 8, 'field': [1690000, 0, 0, 0, 1300, 0, 0, 0, 1], 'lmfdb_label': '19890.n1', 'torsion': [2, 12]}
  • id: 1015712
    {'degree': 8, 'field': [1801777, -97158, 100930, -7610, 3971, -202, 72, -4, 1], 'lmfdb_label': '19890.n1', 'torsion': [24]}
  • id: 1015713
    {'degree': 9, 'field': [-569886036, -128843136, -91950552, -14192790, -470628, -37638, -1763, 249, 0, 1], 'lmfdb_label': '19890.n1', 'torsion': [18]}
  • id: 1015715
    {'degree': 12, 'field': [3006756, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '19890.n1', 'torsion': [3, 12]}
  • id: 1015716
    {'degree': 12, 'field': [136305625, 185772600, 90316473, 8067384, 2876406, 206856, 12365, -31824, 1014, 0, -39, 0, 1], 'lmfdb_label': '19890.n1', 'torsion': [3, 12]}
  • id: 1015714
    {'degree': 12, 'field': [194569401, 57060549, -2590605, 213612, -468783, -65421, 44530, -6753, -543, -16, 15, -3, 1], 'lmfdb_label': '19890.n1', 'torsion': [6, 6]}
  • id: 1015718
    {'degree': 16, 'field': [100000000, 0, -340000000, 0, 341750000, 0, -109650000, 0, 15760625, 0, -1096500, 0, 34175, 0, -340, 0, 1], 'lmfdb_label': '19890.n1', 'torsion': [2, 24]}
  • id: 1015719
    {'degree': 16, 'field': [1916990388, -674649216, 909398952, -246226008, 48026734, 4473868, 3379180, 584310, 272379, 22862, 4356, -2294, 873, -36, -20, -4, 1], 'lmfdb_label': '19890.n1', 'torsion': [2, 24]}
  • id: 1015717
    {'degree': 16, 'field': [11088300601, 0, 415307096, 0, 151489010, 0, 2138484, 0, 598019, 0, 1284, 0, 1310, 0, -4, 0, 1], 'lmfdb_label': '19890.n1', 'torsion': [4, 12]}
  • id: 1015720
    {'degree': 18, 'field': [-58268299466473200, -50812988130028800, -12984620762365200, 2467666315530000, 1079197433528760, -32356651097160, -39430774715604, -1917859158540, 876500097012, 20860048560, -4173044094, -388332360, -7843297, 3222180, 61596, -975, -708, 0, 1], 'lmfdb_label': '19890.n1', 'torsion': [2, 18]}
  • id: 1015721
    {'degree': 18, 'field': [-32910790736562336, 63125568582212448, -42549188849771760, 13883718991925808, -1197455317179120, -424031840646192, 84358772436996, 4350761054280, -1709921079504, -10546407300, 19006553520, -122020560, -129430670, 925620, 533340, -1582, -1164, 0, 1], 'lmfdb_label': '19890.n1', 'torsion': [36]}
  • id: 1015722
    {'degree': 18, 'field': [292675914048055225, 308834661485883450, 154787742686417550, 40378569069716792, 9865289396659689, 2321712102590022, 267217547690802, 14788287091350, 1283744621784, 722869522, -7406833149, -380581314, -59616585, -1827732, -44787, -3526, 459, 0, 1], 'lmfdb_label': '19890.n1', 'torsion': [36]}
• 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: 450600
    {'conductor': 19890, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '19890.n1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 450601
    {'conductor': 19890, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '19890.n1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 450602
    {'conductor': 19890, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '19890.n1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 450603
    {'conductor': 19890, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '19890.n1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 450604
    {'conductor': 19890, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '19890.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: 1797017
    {'adelic_gens': [[1, 12, 12, 145], [4504, 3, 2397, 5218], [15, 106, 3998, 1379], [4419, 3532, 5284, 2571], [5281, 24, 5280, 25], [1, 24, 0, 1], [1873, 24, 1260, 289], [1, 0, 24, 1], [1327, 24, 1338, 289], [2889, 3760, 3740, 4997]], 'adelic_image': '5304.384.5.?', 'conductor': 19890, 'lmfdb_label': '19890.n1', 'prime': 0}
  • id: 92788
    {'conductor': 19890, 'elladic_image': '4.6.0.1', 'lmfdb_label': '19890.n1', 'modell_image': '2B', 'prime': 2}
  • id: 92789
    {'conductor': 19890, 'elladic_image': '3.8.0.1', 'lmfdb_label': '19890.n1', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 19890.n does not appear in ec_padic