Elliptic curve data - 296450.hy4

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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': '296450hy', 'Clabel': '296450hy1', 'Cnumber': 1, 'abc_quality': 1.057467049514408, 'absD': 11298160379864512000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [1, -1, 1, -546580, -5116242953], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 296450, 'degree': 17694720, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9106475647705763585770189968', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 206, 'isogeny_degrees': [1, 2, 4], 'jinv': [-5545233, 3469312], 'lmfdb_iso': '296450.hy', 'lmfdb_label': '296450.hy4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -4, -89], 'min_quad_twist_disc': 385, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '14.6.0.b.1', '28.12.0.g.1', '56.24.0.bn.1', '220.12.0.?', '440.24.0.?', '1540.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 148225], [3, 2, 148225], [5, 14, 11858], [7, 32, 6050], [11, 72, 2450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.065974102373315753307008830517', 'prec': 110}, 'szpiro_ratio': 4.621925689824208, '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, 0, 1, -3, 0, 0, 0, -2, 0, 0, 1, -2, -3, 0, 0], 'aplist': [1, 0, 0, 0, 0, -2, -2, 0, 8, 2, 8, 2, 10, 4, 8, -6, 0, 10, 12, 16, 14, 0, 0, 6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 296450, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '296450.hy', 'trace_hash': 577666454598189870}
• 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': '0.0029637641994892065133079654169', 'prec': 110}, 'conductor': 296450, 'gens': [], 'heights': [], 'lmfdb_label': '296450.hy4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.057406253135856941409395050283', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5110003010422663753019248271802688765', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[1829, -915, 1]], 'xcoord_integral_points': [1829]}
• lmfdb_label 296450.hy4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12562722
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '296450.hy4', 'torsion': [4]}
  • id: 12562721
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '296450.hy4', 'torsion': [2, 2]}
  • id: 12562723
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '296450.hy4', 'torsion': [4]}
  • id: 12562724
    {'degree': 4, 'field': [144, 0, 31, 0, 1], 'lmfdb_label': '296450.hy4', 'torsion': [2, 4]}
  • id: 12562728
    {'degree': 8, 'field': [-5584409, 54604, 571687, -26282, -12302, 304, -17, -2, 1], 'lmfdb_label': '296450.hy4', 'torsion': [6]}
  • id: 12562726
    {'degree': 8, 'field': [4, 0, 1332, 0, -435, 0, -6, 0, 1], 'lmfdb_label': '296450.hy4', 'torsion': [8]}
  • id: 12562727
    {'degree': 8, 'field': [16900, 0, 11140, 0, 1221, 0, 62, 0, 1], 'lmfdb_label': '296450.hy4', 'torsion': [8]}
  • id: 12562725
    {'degree': 8, 'field': [50164, 13240, -11816, -2828, 1365, 56, -14, -4, 1], 'lmfdb_label': '296450.hy4', 'torsion': [2, 4]}
  • id: 12562730
    {'degree': 16, 'field': [3136, -25088, 63392, -28672, -94188, 99008, 17884, -42080, 10281, -2400, 2944, -1240, 146, 0, 20, -8, 1], 'lmfdb_label': '296450.hy4', 'torsion': [2, 8]}
  • id: 12562729
    {'degree': 16, 'field': [20736, 119808, 346112, -1274560, 1667428, -1722392, 1387848, -706836, 194377, -21092, 13608, -5236, 994, -84, 32, -8, 1], 'lmfdb_label': '296450.hy4', 'torsion': [4, 4]}
  • id: 12562732
    {'degree': 16, 'field': [79192201, 0, 104052014, 0, 3903097, 0, 2136662, 0, 7876, 0, 9350, 0, -479, 0, 14, 0, 1], 'lmfdb_label': '296450.hy4', 'torsion': [2, 6]}
  • id: 12562734
    {'degree': 16, 'field': [1248774244, 0, 799413935, 0, 190811362, 0, 26794985, 0, 2461795, 0, 145565, 0, 5299, 0, 110, 0, 1], 'lmfdb_label': '296450.hy4', 'torsion': [12]}
  • id: 12562731
    {'degree': 16, 'field': [2524057600, 0, 1167906560, 0, 237981284, 0, 29117700, 0, 2371585, 0, 130056, 0, 4650, 0, 100, 0, 1], 'lmfdb_label': '296450.hy4', 'torsion': [2, 8]}
  • id: 12562733
    {'degree': 16, 'field': [51503579136, 35261650944, -1353424896, -5599881216, -1664928, 406676736, -24634344, -500700, -1870712, -491921, 195103, -29390, 5110, -908, 94, -5, 1], 'lmfdb_label': '296450.hy4', 'torsion': [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: 7344135
    {'conductor': 296450, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '296450.hy4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 7344136
    {'conductor': 296450, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '296450.hy4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7344137
    {'conductor': 296450, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '296450.hy4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7344138
    {'conductor': 296450, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '296450.hy4', 'prime': 11, '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: 3529968
    {'adelic_gens': [[1, 0, 8, 1], [2463, 0, 0, 3079], [1761, 1760, 2750, 1431], [1, 8, 0, 1], [559, 0, 0, 3079], [1, 4, 4, 17], [771, 990, 1650, 331], [1264, 165, 1595, 54], [3073, 8, 3072, 9], [7, 6, 3074, 3075]], 'adelic_image': '3080.48.0.?', 'conductor': 296450, 'lmfdb_label': '296450.hy4', 'prime': 0}
  • id: 1047517
    {'conductor': 296450, 'elladic_image': '8.12.0.9', 'lmfdb_label': '296450.hy4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 296450.hy does not appear in ec_padic