Elliptic curve data - 141570.q4

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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': '141570dw', 'Clabel': '141570dw1', 'Cnumber': 1, 'abc_quality': 0.916389599290295, 'absD': 2629206755710769520, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 17160, 'ainvs': [1, -1, 0, -144315, -80781035], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 141570, 'degree': 2457600, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2172977270377089158942426728', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [-257380823881, 2035828080], 'lmfdb_iso': '141570.q', 'lmfdb_label': '141570.q4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -132, -2304], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '110.6.0.?', '220.12.0.?', '520.12.0.?', '660.24.0.?', '1144.12.0.?', '1560.24.0.?', '3432.24.0.?', '5720.24.0.?', '17160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5445], [3, 8, 15730], [5, 6, 28314], [11, 72, 1170], [13, 14, 10890]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46904394630446879816564826536', 'prec': 103}, 'szpiro_ratio': 4.210474720347674, '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, 0, -1, 0, 1, 0, 0, 1, 0, 0, 1, 6, 0, -4, -1], 'aplist': [-1, 0, -1, 0, 0, 1, 6, -4, -4, -6, 8, -2, -2, 4, 8, -2, -12, -10, -8, 8, -6, -16, 12, -2, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 141570, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '141570.q', 'trace_hash': 940541937519921765}
• 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': '0.011859862796452110664947727657', 'prec': 107}, 'conductor': 141570, 'gens': [], 'heights': [], 'lmfdb_label': '141570.q4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10797194689834826663507131292', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.86377557518678613308057050339742634512', 'prec': 133}, 'tamagawa_product': 32, 'torsion_generators': [[542, -271, 1]], 'xcoord_integral_points': [542]}
• 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': 3, 'lmfdb_label': '141570.q4'}
• ec_torsion_growth •

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

  
  
  • id: 6401315
    {'degree': 2, 'field': [-41, -1, 1], 'lmfdb_label': '141570.q4', 'torsion': [4]}
  • id: 6401316
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '141570.q4', 'torsion': [4]}
  • id: 6401314
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '141570.q4', 'torsion': [2, 2]}
  • id: 6401317
    {'degree': 4, 'field': [196, -14, -13, -1, 1], 'lmfdb_label': '141570.q4', 'torsion': [2, 4]}
  • id: 6401321
    {'degree': 8, 'field': [-1667354, -510211, 514852, -9283, 4645, -7, 7, -4, 1], 'lmfdb_label': '141570.q4', 'torsion': [6]}
  • id: 6401318
    {'degree': 8, 'field': [6136, 3176, -116, -1528, 474, -86, 31, -2, 1], 'lmfdb_label': '141570.q4', 'torsion': [2, 4]}
  • id: 6401320
    {'degree': 8, 'field': [48400, 0, -29040, 0, 17644, 0, 132, 0, 1], 'lmfdb_label': '141570.q4', 'torsion': [8]}
  • id: 6401319
    {'degree': 8, 'field': [176400, 0, 70800, 0, -6980, 0, -20, 0, 1], 'lmfdb_label': '141570.q4', 'torsion': [8]}
  • id: 6401326
    {'degree': 16, 'field': [-57729766178556, 9597338582220, 7244879286168, -2179587106812, 24841189038, 80128912170, -9342607397, -979793158, 173926022, 15273492, -2429311, -246488, 36411, 1606, -304, -2, 1], 'lmfdb_label': '141570.q4', 'torsion': [12]}
  • id: 6401322
    {'degree': 16, 'field': [456976, 0, 88556, 0, -274195, 0, 1029, 0, 179714, 0, 17409, 0, 1250, 0, 41, 0, 1], 'lmfdb_label': '141570.q4', 'torsion': [4, 4]}
  • id: 6401323
    {'degree': 16, 'field': [29948379136, 0, -4404967424, 0, 48959300, 0, -72867366, 0, 10685489, 0, -101376, 0, -1525, 0, -44, 0, 1], 'lmfdb_label': '141570.q4', 'torsion': [2, 8]}
  • id: 6401324
    {'degree': 16, 'field': [208827064576, 0, -18927031968, 0, 832116116, 0, -145865538, 0, 6261609, 0, 222012, 0, 3251, 0, 72, 0, 1], 'lmfdb_label': '141570.q4', 'torsion': [2, 8]}
  • id: 6401325
    {'degree': 16, 'field': [1111660002304, -1020919314688, 428713694336, -103324577856, 25660206336, -6792691456, 1244123056, -196617916, 40672246, -6062271, 674430, -103469, 14537, -677, 167, -4, 1], 'lmfdb_label': '141570.q4', 'torsion': [2, 6]}
  • id: 6401327
    {'degree': 16, 'field': [68456593822500, 10390300830000, -369803265000, 149092238100, 86005874500, 12430280850, 178823109, -21657962, 56693073, 1701504, -830641, 15600, 2523, -562, -87, 0, 1], 'lmfdb_label': '141570.q4', 'torsion': [12]}
• 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: 3499548
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '141570.q4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3499549
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '141570.q4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3499550
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '141570.q4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3499551
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '141570.q4', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3499552
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '141570.q4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2584484
    {'adelic_gens': [[2296, 3, 11445, 5722], [1, 0, 8, 1], [7873, 2148, 13590, 16447], [1, 8, 0, 1], [1, 4, 4, 17], [2641, 11448, 16284, 11473], [3116, 11439, 15057, 5714], [12163, 6438, 5010, 7867], [7, 6, 17154, 17155], [17153, 8, 17152, 9], [5719, 0, 0, 17159]], 'adelic_image': '17160.48.0.?', 'conductor': 141570, 'lmfdb_label': '141570.q4', 'prime': 0}
  • id: 547354
    {'conductor': 141570, 'elladic_image': '4.6.0.1', 'lmfdb_label': '141570.q4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 141570.q does not appear in ec_padic