Elliptic curve data - 262080.cv3

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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': '262080cv', 'Clabel': '262080cv4', 'Cnumber': 4, 'abc_quality': 0.9573510240464985, 'absD': 1253368978817679360, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -56748, 54114608], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 262080, 'degree': 4194304, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1525072004656067629162319657', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 73, 'isogeny_degrees': [1, 2, 4], 'jinv': [-105756712489, 6558605235], 'lmfdb_iso': '262080.cv', 'lmfdb_label': '262080.cv3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -99, -3923], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '70.6.0.a.1', '120.12.0.?', '140.12.0.?', '168.12.0.?', '312.12.0.?', '520.12.0.?', '728.12.0.?', '840.24.0.?', '1560.24.0.?', '2184.24.0.?', '3640.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1833965643433292338032269416', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 315], [3, 8, 29120], [5, 6, 52416], [7, 8, 37440], [13, 14, 20160]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56348028529163395309276116505', 'prec': 103}, 'szpiro_ratio': 3.938343992170548, '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, -8, 0], 'aplist': [0, 0, -1, -1, 4, 1, -6, -8, 4, -2, -4, -10, 2, -8, -8, 6, 8, 10, 12, 8, 6, 8, -4, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 262080, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '262080.cv', 'trace_hash': 1225205073651704817}
• 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': '0.013500691117878198651820635035', 'prec': 107}, 'conductor': 262080, 'gens': [[248, 7436, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.1833965643433292338032269416', 'prec': 100}], 'lmfdb_label': '262080.cv3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.22525563512770607776346235550', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7366241197161125901790195747315191855', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-428, 0, 1]], 'xcoord_integral_points': [-428, 248, 301]}
• lmfdb_label 262080.cv3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11231034
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '262080.cv3', 'torsion': [4]}
  • id: 11231033
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '262080.cv3', 'torsion': [2, 2]}
  • id: 11231035
    {'degree': 2, 'field': [42, 0, 1], 'lmfdb_label': '262080.cv3', 'torsion': [4]}
  • id: 11231036
    {'degree': 4, 'field': [324, 0, 6, 0, 1], 'lmfdb_label': '262080.cv3', 'torsion': [2, 4]}
  • id: 11231040
    {'degree': 8, 'field': [-124848, 0, -23304, 0, -1224, 0, 0, 0, 1], 'lmfdb_label': '262080.cv3', 'torsion': [6]}
  • id: 11231038
    {'degree': 8, 'field': [4225, 0, -3900, 0, 770, 0, -60, 0, 1], 'lmfdb_label': '262080.cv3', 'torsion': [8]}
  • id: 11231039
    {'degree': 8, 'field': [11025, 0, 18228, 0, 406, 0, 28, 0, 1], 'lmfdb_label': '262080.cv3', 'torsion': [8]}
  • id: 11231037
    {'degree': 8, 'field': [18225, 0, -5400, 0, 495, 0, 30, 0, 1], 'lmfdb_label': '262080.cv3', 'torsion': [2, 4]}
  • id: 11231044
    {'degree': 16, 'field': [198511209, -648549720, 1371682572, -1725842640, 1572052290, -879518712, 340875456, -41087352, 10520275, -164840, 33232, -1496, 1402, -560, 100, -8, 1], 'lmfdb_label': '262080.cv3', 'torsion': [2, 6]}
  • id: 11231046
    {'degree': 16, 'field': [509901561, 0, 2668980564, 0, 130518684, 0, -17129988, 0, -1459314, 0, 65532, 0, 3564, 0, 84, 0, 1], 'lmfdb_label': '262080.cv3', 'torsion': [12]}
  • id: 11231042
    {'degree': 16, 'field': [577491201, 260096508, 25920000, -25218000, 9734319, 23461848, 8350068, 1484040, 74296, 77108, 69038, 324, 1019, 336, 14, -4, 1], 'lmfdb_label': '262080.cv3', 'torsion': [2, 8]}
  • id: 11231041
    {'degree': 16, 'field': [580376281, 0, -223988872, 0, 32501458, 0, -2796364, 0, 184015, 0, 22916, 0, 2218, 0, 68, 0, 1], 'lmfdb_label': '262080.cv3', 'torsion': [4, 4]}
  • id: 11231045
    {'degree': 16, 'field': [2708890209, 0, -482509116, 0, -94831740, 0, -5278068, 0, 858150, 0, -5748, 0, 2052, 0, -60, 0, 1], 'lmfdb_label': '262080.cv3', 'torsion': [12]}
  • id: 11231043
    {'degree': 16, 'field': [17467652241, 1175355792, -1438362900, 519986376, -241670142, -31120824, 25666984, -13254176, 3501555, -134632, 36008, -4704, 602, 56, 12, -8, 1], 'lmfdb_label': '262080.cv3', 'torsion': [2, 8]}
• 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: 6496608
    {'conductor': 262080, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '262080.cv3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6496609
    {'conductor': 262080, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '262080.cv3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6496610
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '262080.cv3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6496611
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '262080.cv3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6496612
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '262080.cv3', '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: 3323722
    {'adelic_gens': [[736, 3, 3645, 7282], [10913, 8, 10912, 9], [1, 0, 8, 1], [9364, 7281, 8343, 3646], [1, 8, 0, 1], [7279, 0, 0, 10919], [1, 4, 4, 17], [6821, 6822, 2262, 4085], [7, 6, 10914, 10915], [5923, 5916, 2322, 7741], [4201, 3648, 2244, 3673]], 'adelic_image': '10920.48.0.?', 'conductor': 262080, 'lmfdb_label': '262080.cv3', 'prime': 0}
  • id: 940476
    {'conductor': 262080, 'elladic_image': '4.6.0.1', 'lmfdb_label': '262080.cv3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 262080.cv does not appear in ec_padic