Elliptic curve data - 466440.e2

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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': '466440e', 'Clabel': '466440e1', 'Cnumber': 1, 'abc_quality': 0.8730354407383869, 'absD': 2071836326476800, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 552, 'ainvs': [0, -1, 0, 20224, -1896324], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 13, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 466440, 'degree': 2654208, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6230326732339696651886795095', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [185073116, 419175], 'lmfdb_iso': '466440.e', 'lmfdb_label': '466440.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 120, -900], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.d.1', '46.6.0.a.1', '552.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 2, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '5.8091881180519821070392338548', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23706465596341979401909097917', 'prec': 107}, 'szpiro_ratio': 3.250383327483258, '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, 0, -1, 0, -1, 0, -2, 0, 1, 0, 2, 0, 0, 0, 1, 0, -8, 0, -4, 0], 'aplist': [0, -1, -1, -2, 2, 0, -8, -4, 1, 2, -8, -8, -2, 8, -8, -6, 8, -8, 16, -8, 10, 10, -6, -4, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 466440, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '466440.e', 'trace_hash': 614639478563984536}
• 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': '0.038927071440976895667142931089', 'prec': 107}, 'conductor': 466440, 'gens': [[178, 2704, 1], [101, 1080, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0289120789968167901499819822', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.9077251650599058769511326135', 'prec': 100}], 'lmfdb_label': '466440.e2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.24093009134076609433615066918', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.196865791183657104255053264522384428', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[74, 0, 1]], 'xcoord_integral_points': [74, 101, 178, 425, 1426, 213941]}
• lmfdb_label 466440.e2 does not appear in ec_iwasawa
• lmfdb_label 466440.e2 does not appear in ec_torsion_growth
• 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: 11501555
    {'conductor': 466440, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '466440.e2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11501556
    {'conductor': 466440, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '466440.e2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11501557
    {'conductor': 466440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '466440.e2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11501558
    {'conductor': 466440, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '466440.e2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 11501559
    {'conductor': 466440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '466440.e2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 4528966
    {'adelic_gens': [[185, 4, 370, 9], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [73, 484, 344, 207], [549, 4, 548, 5], [194, 1, 455, 0], [277, 4, 2, 9]], 'adelic_image': '552.12.0.?', 'conductor': 466440, 'lmfdb_label': '466440.e2', 'prime': 0}
  • id: 1552202
    {'conductor': 466440, 'elladic_image': '2.3.0.1', 'lmfdb_label': '466440.e2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 466440.e does not appear in ec_padic