Elliptic curve data - 141570.e3

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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': '141570ds', 'Clabel': '141570ds2', 'Cnumber': 2, 'abc_quality': 1.11183271776232, 'absD': 338230618804604184516000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 17160, 'ainvs': [1, -1, 0, -17426745, 1058453325], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 141570, 'degree': 16588800, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2043336899801265767441907068', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [453198971846635561, 261896250564000], 'lmfdb_iso': '141570.e', 'lmfdb_label': '141570.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -16003, 27998], 'min_quad_twist_disc': 33, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '33.8.0-3.a.1.1', '40.6.0.b.1', '66.24.0-6.a.1.1', '120.24.0.?', '156.24.0.?', '1320.48.0.?', '1560.48.1.?', '1716.48.0.?', '17160.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.726892570655445856338946599', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5445], [3, 2, 3146], [5, 6, 14157], [11, 62, 1170], [13, 14, 10890]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4560799092468864590155962994', 'prec': 100}, 'szpiro_ratio': 5.196568054695921, '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, 0, 0, -2, -1], 'aplist': [-1, 0, -1, -2, 0, -1, 0, -2, 6, 0, 8, 2, 6, 4, 0, 6, 0, -14, -4, 0, 4, 16, -12, 6, -4], 'class_deg': 6, 'class_size': 4, 'conductor': 141570, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '141570.e', 'trace_hash': 2186000416758265802}
• 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': '0.0016472181560168751017796226184', 'prec': 110}, 'conductor': 141570, 'gens': [[3346183, 5912331181, 14]], 'heights': [{'__RealLiteral__': 0, 'data': '12.726892570655445856338946599', 'prec': 100}], 'lmfdb_label': '141570.e3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.081576118801995976877833305527', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1528420012961145133654815576387917783', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[243, -243, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '141570.e3'}
• ec_torsion_growth •

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

  
  
  • id: 6401192
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '141570.e3', 'torsion': [2, 2]}
  • id: 6401193
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '141570.e3', 'torsion': [6]}
  • id: 6401195
    {'degree': 4, 'field': [-6, 36, -35, -2, 1], 'lmfdb_label': '141570.e3', 'torsion': [2, 6]}
  • id: 6401194
    {'degree': 4, 'field': [4840, 0, 22, 0, 1], 'lmfdb_label': '141570.e3', 'torsion': [4]}
  • id: 6401196
    {'degree': 6, 'field': [911, -417, -42, 33, 12, -3, 1], 'lmfdb_label': '141570.e3', 'torsion': [6]}
  • id: 6401199
    {'degree': 8, 'field': [432, -720, 1470, -1446, 589, 158, -48, -4, 1], 'lmfdb_label': '141570.e3', 'torsion': [12]}
  • id: 6401197
    {'degree': 8, 'field': [1134225, 0, -58710, 0, 2794, 0, 106, 0, 1], 'lmfdb_label': '141570.e3', 'torsion': [2, 4]}
  • id: 6401198
    {'degree': 8, 'field': [19713600, 0, -806400, 0, 7240, 0, -80, 0, 1], 'lmfdb_label': '141570.e3', 'torsion': [2, 4]}
  • id: 6401200
    {'degree': 12, 'field': [324, -2268, 5112, 1260, 1360, 276, 455, -357, 6, 21, -4, -3, 1], 'lmfdb_label': '141570.e3', 'torsion': [3, 6]}
  • id: 6401201
    {'degree': 12, 'field': [10521135, -8132370, 4828209, -1466726, -199260, 201174, -4771, -4782, 1128, 86, -27, -6, 1], 'lmfdb_label': '141570.e3', 'torsion': [2, 6]}
  • id: 6401204
    {'degree': 16, 'field': [4835601, 0, -65880804, 0, 78133090, 0, -18526376, 0, 1516859, 0, -38456, 0, 530, 0, -44, 0, 1], 'lmfdb_label': '141570.e3', 'torsion': [2, 12]}
  • id: 6401203
    {'degree': 16, 'field': [347400036, 736910496, 954340752, 382908600, -71669552, -75788720, 16901360, -6542916, 2991901, -552124, 79024, -17524, 1954, 132, -16, -8, 1], 'lmfdb_label': '141570.e3', 'torsion': [2, 12]}
  • id: 6401202
    {'degree': 16, 'field': [87269500308, -13754902728, 69989266272, -82725965220, 20888431741, 1506407960, -487404370, -167920044, 38714635, 3208600, 489460, -35756, 7555, 1560, -34, -4, 1], 'lmfdb_label': '141570.e3', 'torsion': [8]}
  • id: 6401205
    {'degree': 18, 'field': [-111321396, -567795600, 1338703920, -792306294, 121980696, 40166952, -8639789, -17250789, -3722910, 779238, 307689, 43863, -31442, -7017, 1941, 258, -66, -3, 1], 'lmfdb_label': '141570.e3', 'torsion': [18]}
• 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: 3499498
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '141570.e3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3499499
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 24, 'j_denominator_valuation': 18, 'kodaira_symbol': -22, 'lmfdb_label': '141570.e3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3499500
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '141570.e3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3499501
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '141570.e3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3499502
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '141570.e3', 'prime': 13, '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: 2584397
    {'adelic_gens': [[2641, 9372, 3366, 4753], [9359, 0, 0, 17159], [1, 0, 12, 1], [11, 2, 17110, 17151], [15610, 10923, 1221, 1552], [1, 6, 6, 37], [15610, 10923, 13233, 1552], [6315, 15928, 12518, 6557], [5191, 15598, 16896, 17159], [17149, 12, 17148, 13], [1, 12, 0, 1]], 'adelic_image': '17160.96.1.?', 'conductor': 141570, 'lmfdb_label': '141570.e3', 'prime': 0}
  • id: 547257
    {'conductor': 141570, 'elladic_image': '2.3.0.1', 'lmfdb_label': '141570.e3', 'modell_image': '2B', 'prime': 2}
  • id: 547258
    {'conductor': 141570, 'elladic_image': '3.4.0.1', 'lmfdb_label': '141570.e3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 141570.e does not appear in ec_padic