Elliptic curve data - 141610.ck2

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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': '141610y', 'Clabel': '141610y1', 'Cnumber': 1, 'abc_quality': 1.0000826672438765, 'absD': 2058915325644800, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1428, 'ainvs': [1, 0, 0, 15889, -2041159], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 141610, 'degree': 663552, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6207921144628525267087596083', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 62, 'isogeny_degrees': [1, 3], 'jinv': [375078431, 1740800], 'lmfdb_iso': '141610.ck', 'lmfdb_label': '141610.ck2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 55, -393], 'min_quad_twist_disc': 17, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '68.2.0.a.1', '84.8.0.?', '204.8.0.?', '357.8.0.?', '1428.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.42135929118137350695971268689', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 14161], [3, 2, 70805], [5, 6, 28322], [7, 14, 2890], [17, 162, 490]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12013291574114106426689982454', 'prec': 107}, 'szpiro_ratio': 3.5901780666624212, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 1, -2, -1, -3, 1, -5, 0, -1, 1, 0, -2, -2, -1], 'aplist': [1, 1, -1, 0, -3, -5, 0, -2, 0, 0, 8, -2, -6, 2, 6, -3, -6, 8, 2, 15, 8, -5, -6, 3, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 141610, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '141610.ck', 'trace_hash': 897913980105779683}
• 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': '0.039101899643990765943511742271', 'prec': 107}, 'conductor': 141610, 'gens': [[806, 22717, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.42135929118137350695971268689', 'prec': 103}], 'lmfdb_label': '141610.ck2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.23451276356240030120244534326', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.4861566554532506425896272767340781208', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [], 'xcoord_integral_points': [194, 806]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': [3, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '141610.ck2'}
• ec_torsion_growth •

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

  
  
  • id: 6403263
    {'degree': 2, 'field': [30, -1, 1], 'lmfdb_label': '141610.ck2', 'torsion': [3]}
  • id: 6403264
    {'degree': 3, 'field': [-20, 12, -1, 1], 'lmfdb_label': '141610.ck2', 'torsion': [2]}
  • id: 6403266
    {'degree': 6, 'field': [-300012, 9438, -9467, 57, -26, -3, 1], 'lmfdb_label': '141610.ck2', 'torsion': [3]}
  • id: 6403267
    {'degree': 6, 'field': [155, -214, 135, -8, -3, -2, 1], 'lmfdb_label': '141610.ck2', 'torsion': [6]}
  • id: 6403265
    {'degree': 6, 'field': [272, 0, -72, 0, 1, 0, 1], 'lmfdb_label': '141610.ck2', 'torsion': [2, 2]}
  • id: 6403270
    {'degree': 12, 'field': [3472, -4032, 8484, -5544, 5712, -3332, 1737, -884, 291, -92, 23, -4, 1], 'lmfdb_label': '141610.ck2', 'torsion': [2, 6]}
  • id: 6403268
    {'degree': 12, 'field': [143900, -157200, -31200, 67560, 11332, -4912, -5320, 956, 535, -32, -16, -4, 1], 'lmfdb_label': '141610.ck2', 'torsion': [4]}
  • id: 6403269
    {'degree': 12, 'field': [37320444225, 0, 2869532325, 0, 66971475, 0, 77358, 0, -13613, 0, -59, 0, 1], 'lmfdb_label': '141610.ck2', 'torsion': [3, 3]}
  • id: 6403272
    {'degree': 18, 'field': [-219535838276, -274089090248, -120060083973, -10805578193, 10480349910, 3195403897, 195974226, -37478109, -51097574, 12251885, -2868, 412061, -126854, 10731, 550, 17, 26, -9, 1], 'lmfdb_label': '141610.ck2', 'torsion': [6]}
  • id: 6403271
    {'degree': 18, 'field': [188527529800, 51865989600, 82953439300, 5367701470, 8181982570, 513348540, 461201411, 44055814, 9457286, 4573740, 87167, 167078, -10066, 1096, 249, -218, 26, 0, 1], 'lmfdb_label': '141610.ck2', 'torsion': [9]}
• 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: 3500673
    {'conductor': 141610, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '141610.ck2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 3500674
    {'conductor': 141610, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '141610.ck2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3500675
    {'conductor': 141610, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '141610.ck2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3500676
    {'conductor': 141610, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '141610.ck2', 'prime': 17, 'reduction_type': 0, '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: 2584746
    {'adelic_gens': [[4, 3, 9, 7], [1227, 2, 1234, 7], [715, 6, 717, 19], [167, 1422, 501, 1409], [1, 6, 0, 1], [1423, 6, 1422, 7], [3, 4, 8, 11], [834, 601, 1309, 1191], [1, 0, 6, 1]], 'adelic_image': '1428.16.0.?', 'conductor': 141610, 'lmfdb_label': '141610.ck2', 'prime': 0}
  • id: 547491
    {'conductor': 141610, 'elladic_image': '3.4.0.1', 'lmfdb_label': '141610.ck2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 141610.ck does not appear in ec_padic