Elliptic curve data - 279414.o3

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '279414o', 'Clabel': '279414o2', 'Cnumber': 2, 'abc_quality': 0.9695227777911526, 'absD': 1288817420697754042153392, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9804, 'ainvs': [1, -1, 0, -12477852, 57197439040], 'analytic_rank': 0, 'bad_primes': [2, 3, 19, 43], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 279414, 'degree': 39813120, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3100441348596941980772038197', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-6264610702863625, 37578744274608], 'lmfdb_iso': '279414.o', 'lmfdb_label': '279414.o3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -3841, 308516], 'min_quad_twist_disc': 57, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0.b.1', '57.8.0-3.a.1.2', '114.48.0.?', '516.48.0.?', '3268.6.0.?', '9804.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3249], [3, 2, 31046], [19, 200, 774], [43, 44, 6498]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2885185009424191223750674853', 'prec': 100}, 'szpiro_ratio': 5.028733994987124, '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, -1, 0, 1, 0, 0, -4, -1, 0, 0, 0, 0, -2, 4, 0, 1, 6, 0, 0, 0], 'aplist': [-1, 0, 0, -4, 0, -2, 6, 0, 0, 6, 4, -2, 0, 1, 0, 12, 6, -10, -8, -12, 14, -8, 0, 6, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 279414, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '279414.o', 'trace_hash': 2305267979452072363}
• 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': '0.0013333132492325559876462814308', 'prec': 110}, 'conductor': 279414, 'gens': [], 'heights': [], 'lmfdb_label': '279414.o3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.074219356086181548212522226968', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1875096973789047714003556314829293121', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-19645, 19645, 2]], 'xcoord_integral_points': []}
• lmfdb_label 279414.o3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11904616
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '279414.o3', 'torsion': [6]}
  • id: 11904615
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '279414.o3', 'torsion': [2, 2]}
  • id: 11904617
    {'degree': 4, 'field': [-192, 0, -7, 0, 1], 'lmfdb_label': '279414.o3', 'torsion': [4]}
  • id: 11904618
    {'degree': 4, 'field': [25, -5, -4, -1, 1], 'lmfdb_label': '279414.o3', 'torsion': [2, 6]}
  • id: 11904619
    {'degree': 6, 'field': [20425, -4085, 1032, -309, 72, -1, 1], 'lmfdb_label': '279414.o3', 'torsion': [6]}
  • id: 11904622
    {'degree': 8, 'field': [256, 0, 144, 0, -152, 0, 9, 0, 1], 'lmfdb_label': '279414.o3', 'torsion': [12]}
  • id: 11904621
    {'degree': 8, 'field': [36864, 0, -1344, 0, 241, 0, 7, 0, 1], 'lmfdb_label': '279414.o3', 'torsion': [2, 4]}
  • id: 11904620
    {'degree': 8, 'field': [159201, 0, -5472, 0, -483, 0, 24, 0, 1], 'lmfdb_label': '279414.o3', 'torsion': [2, 4]}
  • id: 11904623
    {'degree': 12, 'field': [1607824, -2191104, 1144952, -203904, 80520, -6462, -3275, 2859, 138, 39, -10, -3, 1], 'lmfdb_label': '279414.o3', 'torsion': [6, 6]}
  • id: 11904626
    {'degree': 16, 'field': [65536, 0, -36864, 0, 59648, 0, 26496, 0, 21552, 0, 1656, 0, 233, 0, -9, 0, 1], 'lmfdb_label': '279414.o3', 'torsion': [2, 12]}
  • id: 11904625
    {'degree': 16, 'field': [399172, -964880, 1145170, -800882, 284865, -3248, -37937, 7350, 4507, -1128, -484, 258, 143, -88, 35, -6, 1], 'lmfdb_label': '279414.o3', 'torsion': [2, 12]}
  • id: 11904624
    {'degree': 16, 'field': [13537787904, 0, -15805449216, 0, -14006472816, 0, 2449515696, 0, -38628335, 0, 153760, 0, 6651, 0, -104, 0, 1], 'lmfdb_label': '279414.o3', 'torsion': [8]}
  • id: 11904627
    {'degree': 18, 'field': [-181398528, 725594112, -653790528, -195780240, 1200505536, -261495216, 87034176, 525051072, 108073440, -30915972, 2850336, 5144148, 572244, -75528, -10692, -3, -108, -9, 1], 'lmfdb_label': '279414.o3', 'torsion': [18]}
• 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: 6922540
    {'conductor': 279414, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '279414.o3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6922541
    {'conductor': 279414, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '279414.o3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6922542
    {'conductor': 279414, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '279414.o3', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6922543
    {'conductor': 279414, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '279414.o3', 'prime': 43, '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: 3427663
    {'adelic_gens': [[11, 2, 9754, 9795], [9793, 12, 9792, 13], [3262, 9793, 3279, 20], [3095, 9792, 8766, 9731], [1, 0, 12, 1], [4095, 820, 4058, 809], [1, 6, 6, 37], [1, 12, 0, 1], [4561, 12, 7758, 73]], 'adelic_image': '9804.96.1.?', 'conductor': 279414, 'lmfdb_label': '279414.o3', 'prime': 0}
  • id: 994981
    {'conductor': 279414, 'elladic_image': '2.3.0.1', 'lmfdb_label': '279414.o3', 'modell_image': '2B', 'prime': 2}
  • id: 994982
    {'conductor': 279414, 'elladic_image': '3.4.0.1', 'lmfdb_label': '279414.o3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 279414.o does not appear in ec_padic