Elliptic curve data - 465520.a1

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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': '465520a', 'Clabel': '465520a1', 'Cnumber': 1, 'abc_quality': 0.8655530977275264, 'absD': 416869063424000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 440, 'ainvs': [0, 0, 0, -35443, -2749742], 'analytic_rank': 2, 'bad_primes': [2, 5, 11, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 465520, 'degree': 3624192, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5503064897596471173827091906', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-16241202, 1375], 'lmfdb_iso': '465520.a', 'lmfdb_label': '465520.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -67, -226], 'min_quad_twist_disc': 92, 'modell_images': [], 'modm_images': ['440.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '5.5957634165438607325349370365', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.65282553371821092831979666998', 'prec': 107}, 'szpiro_ratio': 3.3083654480107603, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -3, 0, -1, 0, 1, 0, 6, 0, -1, 0, -6, 0, 3, 0, -3, 0, -5, 0], 'aplist': [0, -3, -1, 1, -1, -6, -3, -5, 0, -5, -5, 1, -2, 12, 2, 13, -2, -1, 16, -15, 10, 2, -14, -9, 16], 'class_deg': 1, 'class_size': 1, 'conductor': 465520, 'isogeny_matrix': [[1]], 'lmfdb_iso': '465520.a', 'trace_hash': 745020489160531358}
• 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': '0.045021596616882264296240550861', 'prec': 107}, 'conductor': 465520, 'gens': [[253, 2116, 1], [782, 21160, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5468350189019590056037878370', 'prec': 100}, {'__RealLiteral__': 0, 'data': '3.6580989287016499750623271409', 'prec': 100}], 'lmfdb_label': '465520.a1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.17313720054681558369750953633', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.7506785029015069061731943865831464562', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [253, 261, 782, 863, 901, 318711]}
• lmfdb_label 465520.a1 does not appear in ec_iwasawa
• lmfdb_label 465520.a1 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: 11480803
    {'conductor': 465520, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '465520.a1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 11480804
    {'conductor': 465520, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '465520.a1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11480805
    {'conductor': 465520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '465520.a1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11480806
    {'conductor': 465520, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '465520.a1', 'prime': 23, 'reduction_type': 0, '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

  
  {'adelic_gens': [[439, 2, 438, 3], [221, 2, 221, 3], [321, 2, 321, 3], [1, 1, 439, 0], [1, 0, 2, 1], [1, 2, 0, 1], [111, 2, 0, 1], [177, 2, 177, 3]], 'adelic_image': '440.2.0.?', 'conductor': 465520, 'lmfdb_label': '465520.a1', 'prime': 0}
• lmfdb_iso 465520.a does not appear in ec_padic