Elliptic curve data - 262080.nc2

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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': '262080nc', 'Clabel': '262080nc1', 'Cnumber': 1, 'abc_quality': 0.8768355008865797, 'absD': 450861465600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [0, 0, 0, 1908, -3824], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 262080, 'degree': 245760, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.92559622703244803347196785251', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 340, 'isogeny_degrees': [1, 2], 'jinv': [108531333, 63700], 'lmfdb_iso': '262080.nc', 'lmfdb_label': '262080.nc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 30, 0], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '78.6.0.?', '120.6.0.?', '520.6.0.?', '1560.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1046610978050777851942452125', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 39], [3, 6, 29120], [5, 6, 52416], [7, 8, 37440], [13, 14, 20160]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.38877761597449735350269163891', 'prec': 107}, 'szpiro_ratio': 2.7471884224617176, '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, 0, 0, 0, 1, 0, 1, 0, 0, 0, 4, 0, 1, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, 1, 1, 4, 1, -6, 0, -2, -6, 2, 6, 2, -8, -8, 0, 4, -10, 2, 0, -8, 8, -12, -2, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 262080, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '262080.nc', 'trace_hash': 65474709196764791}
• 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': '0.15704977996251668589273002356', 'prec': 103}, 'conductor': 262080, 'gens': [[32, 300, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1046610978050777851942452125', 'prec': 100}], 'lmfdb_label': '262080.nc2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.55173645065546206575519028238', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.2897459514848153604707062024476026289', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[2, 0, 1]], 'xcoord_integral_points': [2, 32, 66]}
• lmfdb_label 262080.nc2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11239530
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '262080.nc2', 'torsion': [2, 2]}
  • id: 11239531
    {'degree': 4, 'field': [-5, 10, -9, -2, 1], 'lmfdb_label': '262080.nc2', 'torsion': [4]}
  • id: 11239534
    {'degree': 8, 'field': [-4800, 0, 0, 0, 240, 0, 2, 0, 1], 'lmfdb_label': '262080.nc2', 'torsion': [6]}
  • id: 11239533
    {'degree': 8, 'field': [38025, 0, 8190, 0, 471, 0, 18, 0, 1], 'lmfdb_label': '262080.nc2', 'torsion': [2, 4]}
  • id: 11239532
    {'degree': 8, 'field': [1072150, -1095820, 463415, -93274, 8371, 220, -61, -2, 1], 'lmfdb_label': '262080.nc2', 'torsion': [2, 4]}
  • id: 11239535
    {'degree': 16, 'field': [163873555, -567835320, 823425000, -204674440, -51943564, -18896520, 7258512, 8838744, -1123671, -480424, -64716, 4368, 4422, -8, 24, -8, 1], 'lmfdb_label': '262080.nc2', 'torsion': [8]}
  • id: 11239536
    {'degree': 16, 'field': [757473600, -468624000, 382045600, 175768000, -94392680, 7704040, -2230394, -621080, 594999, -332892, 107538, -23912, 5320, -644, 112, -8, 1], 'lmfdb_label': '262080.nc2', 'torsion': [2, 6]}
• 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: 6500498
    {'conductor': 262080, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '262080.nc2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6500499
    {'conductor': 262080, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '262080.nc2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6500500
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '262080.nc2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6500501
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '262080.nc2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6500502
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '262080.nc2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 3324530
    {'adelic_gens': [[1369, 196, 584, 975], [1, 2, 2, 5], [1, 4, 0, 1], [524, 1, 1039, 0], [602, 1, 479, 0], [1557, 4, 1556, 5], [1, 0, 4, 1], [781, 4, 2, 9], [3, 4, 8, 11], [937, 4, 314, 9]], 'adelic_image': '1560.12.0.?', 'conductor': 262080, 'lmfdb_label': '262080.nc2', 'prime': 0}
  • id: 941347
    {'conductor': 262080, 'elladic_image': '2.3.0.1', 'lmfdb_label': '262080.nc2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 262080.nc does not appear in ec_padic