Elliptic curve data - 277440.dv4

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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': '277440dv', 'Clabel': '277440dv4', 'Cnumber': 4, 'abc_quality': 1.0677360670200853, 'absD': 428069371081835151360000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 4080, 'ainvs': [0, -1, 0, -26634625, 42533130625], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 277440, 'degree': 28311552, 'elladic_images': ['8.96.0.91'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2499201392212173397250383788', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 99, 'isogeny_degrees': [1, 2, 4], 'jinv': [330240275458561, 67652010000], 'lmfdb_iso': '277440.dv', 'lmfdb_label': '277440.dv4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1440, 16305], 'min_quad_twist_disc': 136, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.96.0-8.b.1.12', '120.192.1.?', '136.192.1.?', '816.384.5.?', '1360.384.5.?', '2040.384.5.?', '4080.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79359269635319133547442288768', 'prec': 103}, 'szpiro_ratio': 5.019146586786582, '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, -1, 0, 1, 0, 0, 0, 1, 0, 4, 0, 2, 0, -1, 0, 0, 0, -4, 0], 'aplist': [0, -1, 1, 0, 4, 2, 0, -4, 0, -2, -8, 6, 6, 4, 0, 10, 4, -2, -4, 0, 6, -8, 12, -6, 14], 'class_deg': 16, 'class_size': 8, 'conductor': 277440, 'isogeny_matrix': [[1, 16, 2, 4, 8, 16, 8, 4], [16, 1, 8, 4, 2, 4, 8, 16], [2, 8, 1, 2, 4, 8, 4, 2], [4, 4, 2, 1, 2, 4, 2, 4], [8, 2, 4, 2, 1, 2, 4, 8], [16, 4, 8, 4, 2, 1, 8, 16], [8, 8, 4, 2, 4, 8, 1, 8], [4, 16, 2, 4, 8, 16, 8, 1]], 'lmfdb_iso': '277440.dv', 'trace_hash': 1993700552937189083}
• 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': '0.0015036793438053011613415276391', 'prec': 110}, 'conductor': 277440, 'gens': [], 'heights': [], 'lmfdb_label': '277440.dv4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.089221589434637023484049639734', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8550908619083847514895884714888000619', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[1825, 0, 1], [4001, 0, 1]], 'xcoord_integral_points': [-5825, 1825, 4001]}
• lmfdb_label 277440.dv4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11826130
    {'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '277440.dv4', 'torsion': [2, 4]}
  • id: 11826131
    {'degree': 2, 'field': [34, 0, 1], 'lmfdb_label': '277440.dv4', 'torsion': [2, 4]}
  • id: 11826133
    {'degree': 4, 'field': [2, 12, -11, -2, 1], 'lmfdb_label': '277440.dv4', 'torsion': [2, 8]}
  • id: 11826132
    {'degree': 4, 'field': [289, 0, 0, 0, 1], 'lmfdb_label': '277440.dv4', 'torsion': [4, 4]}
  • id: 11826137
    {'degree': 8, 'field': [-4009008, 0, 175168, 0, -6936, 0, 0, 0, 1], 'lmfdb_label': '277440.dv4', 'torsion': [2, 6]}
  • id: 11826135
    {'degree': 8, 'field': [256, 0, 0, 0, 49, 0, 0, 0, 1], 'lmfdb_label': '277440.dv4', 'torsion': [4, 8]}
  • id: 11826136
    {'degree': 8, 'field': [4096, 0, 0, 0, -127, 0, 0, 0, 1], 'lmfdb_label': '277440.dv4', 'torsion': [4, 8]}
  • id: 11826134
    {'degree': 8, 'field': [88690, 12460, -11786, -1364, 723, -52, 22, -4, 1], 'lmfdb_label': '277440.dv4', 'torsion': [4, 8]}
  • id: 11826138
    {'degree': 16, 'field': [4096, 0, -32512, 0, 97412, 0, -128772, 0, 63113, 0, 504, 0, 518, 0, -4, 0, 1], 'lmfdb_label': '277440.dv4', 'torsion': [8, 8]}
  • id: 11826139
    {'degree': 16, 'field': [65536, 0, 0, 0, -227456, 0, 0, 0, 33156, 0, 0, 0, -676, 0, 0, 0, 1], 'lmfdb_label': '277440.dv4', 'torsion': [2, 16]}
  • id: 11826140
    {'degree': 16, 'field': [342102016, 0, -80494592, 0, 4734976, 0, -39146784, 0, 2191776, 0, -43656, 0, 1156, 0, -68, 0, 1], 'lmfdb_label': '277440.dv4', 'torsion': [2, 12]}
  • id: 11826141
    {'degree': 16, 'field': [4228250625, 0, 994882500, 0, 58522500, 0, 23326924, 0, 982022, 0, 54604, 0, 1156, 0, 68, 0, 1], 'lmfdb_label': '277440.dv4', 'torsion': [2, 12]}
• 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: 6873138
    {'conductor': 277440, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '277440.dv4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6873139
    {'conductor': 277440, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '277440.dv4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6873140
    {'conductor': 277440, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '277440.dv4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6873141
    {'conductor': 277440, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '277440.dv4', '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: 3415495
    {'adelic_gens': [[1, 16, 8, 129], [4065, 16, 4064, 17], [1, 16, 0, 1], [9, 4, 2632, 4041], [817, 12, 0, 1], [3577, 12, 1764, 3607], [503, 4072, 2076, 1571], [1, 0, 16, 1], [2875, 4076, 2444, 35], [1, 8, 0, 1]], 'adelic_image': '4080.768.13.?', 'conductor': 277440, 'lmfdb_label': '277440.dv4', 'prime': 0}
  • id: 988587
    {'conductor': 277440, 'elladic_image': '8.96.0.91', 'lmfdb_label': '277440.dv4', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 277440.dv does not appear in ec_padic