Elliptic curve data - 6080.k3

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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': '6080c', 'Clabel': '6080c2', 'Cnumber': 2, 'abc_quality': 0.9256005806966986, 'absD': 147865600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [0, 0, 0, -508, 4368], 'analytic_rank': 0, 'bad_primes': [2, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6080, 'degree': 2048, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.38531932361053283843907897855', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [884901456, 9025], 'lmfdb_iso': '6080.k', 'lmfdb_label': '6080.k3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -127, 546], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '20.12.0.b.1', '40.24.0-20.b.1.1', '76.12.0.?', '152.24.0.?', '380.24.0.?', '760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, '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': '-0.42335238704273668921435849648', 'prec': 107}, 'szpiro_ratio': 3.4782373739840695, '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, 0, 0, -3, 0, 4, 0, 6, 0, 0, 0, -6, 0, 1, 0], 'aplist': [0, 0, -1, 0, 4, 6, -6, 1, 8, 2, 0, -2, 2, -4, -8, 6, 4, 2, -8, 8, 2, -8, -4, -14, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 6080, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '6080.k', 'trace_hash': 1939237719846461352}
• 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': '0.46271746070636916234802021694', 'prec': 103}, 'conductor': 6080, 'gens': [], 'heights': [], 'lmfdb_label': '6080.k3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.8393939817983561475914118384', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8393939817983561475914118383736967170', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[12, 0, 1], [14, 0, 1]], 'xcoord_integral_points': [-26, 12, 14]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': [0, 0], '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '6080.k3'}
• ec_torsion_growth •

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

  
  
  • id: 317000
    {'degree': 4, 'field': [4, 0, -6, 0, 1], 'lmfdb_label': '6080.k3', 'torsion': [2, 4]}
  • id: 316999
    {'degree': 4, 'field': [11, -14, 15, -2, 1], 'lmfdb_label': '6080.k3', 'torsion': [2, 4]}
  • id: 317001
    {'degree': 4, 'field': [49, 0, 24, 0, 1], 'lmfdb_label': '6080.k3', 'torsion': [2, 4]}
  • id: 317002
    {'degree': 8, 'field': [-48, 0, -2496, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '6080.k3', 'torsion': [2, 6]}
  • id: 317004
    {'degree': 16, 'field': [931, 5852, 11096, 5624, 4452, 5892, 4726, 4344, 1988, 640, 446, 164, 63, -12, 22, -4, 1], 'lmfdb_label': '6080.k3', 'torsion': [2, 8]}
  • id: 317005
    {'degree': 16, 'field': [3025, 0, -4600, 0, -340, 0, 1080, 0, 1846, 0, -968, 0, -116, 0, 8, 0, 1], 'lmfdb_label': '6080.k3', 'torsion': [2, 8]}
  • id: 317003
    {'degree': 16, 'field': [556804, -508136, 801260, -714504, 716170, -544768, 393078, -226316, 118149, -49568, 19026, -5740, 1624, -336, 68, -8, 1], 'lmfdb_label': '6080.k3', 'torsion': [4, 4]}
  • id: 317006
    {'degree': 16, 'field': [269649241, 0, 160381600, 0, 43033334, 0, 7250100, 0, 816571, 0, 67100, 0, 3634, 0, 100, 0, 1], 'lmfdb_label': '6080.k3', '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: 120973
    {'conductor': 6080, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '6080.k3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 120974
    {'conductor': 6080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6080.k3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 120975
    {'conductor': 6080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6080.k3', 'prime': 19, '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: 1703838
    {'adelic_gens': [[1, 0, 4, 1], [739, 758, 0, 759], [1, 4, 0, 1], [383, 756, 384, 755], [757, 4, 756, 5], [379, 0, 0, 759], [683, 756, 606, 751], [567, 756, 752, 749]], 'adelic_image': '760.48.0.?', 'conductor': 6080, 'lmfdb_label': '6080.k3', 'prime': 0}
  • id: 29931
    {'conductor': 6080, 'elladic_image': '8.12.0.1', 'lmfdb_label': '6080.k3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 6080.k does not appear in ec_padic