Elliptic curve data - 262080.go2

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '262080go', 'Clabel': '262080go2', 'Cnumber': 2, 'abc_quality': 0.8908526877863556, 'absD': 1251801008640000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -39828, 2542048], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 262080, 'degree': 1048576, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6161257162114193571532652269', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 170, 'isogeny_degrees': [1, 2], 'jinv': [2339923888576, 419225625], 'lmfdb_iso': '262080.go', 'lmfdb_label': '262080.go2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1106, -11400], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '56.12.0.b.1', '104.12.0.?', '168.24.0.?', '312.24.0.?', '364.12.0.?', '728.24.0.?', '1092.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.37367239131741920203841048698', 'prec': 103}, 'szpiro_ratio': 3.4778110473530583, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -2, 0, 0, 0], 'aplist': [0, 0, -1, 1, 4, 1, -2, 0, 4, -2, 0, -2, 2, -4, 0, 6, 0, 14, 12, 8, 14, 12, 0, 10, -10], '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.go', 'trace_hash': 43830243444083878}
• 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': '0.039468537935312778853104237548', 'prec': 107}, 'conductor': 262080, 'gens': [], 'heights': [], 'lmfdb_label': '262080.go2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.46147348168346151064581867690', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6917878534676920851665494152178034579', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[74, 0, 1], [152, 0, 1]], 'xcoord_integral_points': [-226, 74, 152]}
• lmfdb_label 262080.go2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11234086
    {'degree': 4, 'field': [81, 0, -60, 0, 1], 'lmfdb_label': '262080.go2', 'torsion': [2, 4]}
  • id: 11234084
    {'degree': 4, 'field': [169, 0, 52, 0, 1], 'lmfdb_label': '262080.go2', 'torsion': [2, 4]}
  • id: 11234085
    {'degree': 4, 'field': [196, 0, 14, 0, 1], 'lmfdb_label': '262080.go2', 'torsion': [2, 4]}
  • id: 11234087
    {'degree': 8, 'field': [-9711, 16692, -3822, -9072, 9072, 0, -42, -4, 1], 'lmfdb_label': '262080.go2', 'torsion': [2, 6]}
  • id: 11234088
    {'degree': 16, 'field': [390625, 0, 0, 0, 25625, 0, 0, 0, 1056, 0, 0, 0, 41, 0, 0, 0, 1], 'lmfdb_label': '262080.go2', 'torsion': [4, 4]}
  • id: 11234090
    {'degree': 16, 'field': [452242756, -583539040, 427838992, -336140000, 197208536, -68572560, 25129552, -7738080, 758814, -145040, 131712, 5880, 1596, -560, -28, 0, 1], 'lmfdb_label': '262080.go2', 'torsion': [2, 8]}
  • id: 11234091
    {'degree': 16, 'field': [1610497161, 0, -613522728, 0, -53936064, 0, 1177176, 0, 3163930, 0, -281064, 0, 9856, 0, -168, 0, 1], 'lmfdb_label': '262080.go2', 'torsion': [2, 8]}
  • id: 11234089
    {'degree': 16, 'field': [56801039161, -24345041760, 14172550784, -1599479440, 1616552836, -412471280, 193636784, -41310880, 16365754, -3536000, 676256, -61360, 7948, -1040, 80, 0, 1], 'lmfdb_label': '262080.go2', '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: 6498003
    {'conductor': 262080, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '262080.go2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6498004
    {'conductor': 262080, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '262080.go2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6498005
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '262080.go2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6498006
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '262080.go2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6498007
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '262080.go2', '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: 3324010
    {'adelic_gens': [[1, 0, 4, 1], [179, 726, 366, 1457], [727, 0, 0, 2183], [1, 4, 0, 1], [2017, 732, 1122, 1465], [1249, 1458, 0, 1], [1817, 726, 1458, 1457], [2181, 4, 2180, 5]], 'adelic_image': '2184.48.0.?', 'conductor': 262080, 'lmfdb_label': '262080.go2', 'prime': 0}
  • id: 940793
    {'conductor': 262080, 'elladic_image': '2.6.0.1', 'lmfdb_label': '262080.go2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 262080.go does not appear in ec_padic