Elliptic curve data - 404928.j1

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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': '404928j', 'Clabel': '404928j1', 'Cnumber': 1, 'abc_quality': 0.9493197066198518, 'absD': 440720058875904, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 5624, 'ainvs': [0, 0, 0, -3719244, -2760769136], 'analytic_rank': 1, 'bad_primes': [2, 3, 19, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 404928, 'degree': 6881280, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2572949817793551433896714046', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1], 'jinv': [59545681581839906, 4612383], 'lmfdb_iso': '404928.j', 'lmfdb_label': '404928.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -103312, -12815776], 'min_quad_twist_disc': 24, 'modell_images': [], 'modm_images': ['5624.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5034741463206526907419136092', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 6327], [3, 8, 44992], [19, 20, 21312], [37, 38, 10944]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.72603033165204444268430328074', 'prec': 103}, 'szpiro_ratio': 4.414735117018699, '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, 0, 0, -3, 0, -4, 0, 0, 0, 3, 0, 4, 0, 0, 0, -6, 0, 1, 0], 'aplist': [0, 0, -3, -4, 3, 4, -6, 1, 1, 0, 2, 1, 2, -4, 10, -3, -3, 5, -2, 9, -11, -10, 3, -13, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 404928, 'isogeny_matrix': [[1]], 'lmfdb_iso': '404928.j', 'trace_hash': 723484554667608886}
• 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': '0.010948093323831952689876531130', 'prec': 107}, 'conductor': 404928, 'gens': [[3842, 199152, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.5034741463206526907419136092', 'prec': 100}], 'lmfdb_label': '404928.j1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10871410352214862917142583783', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7864420645965759106420432471631275277', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [3842]}
• lmfdb_label 404928.j1 does not appear in ec_iwasawa
• lmfdb_label 404928.j1 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: 10012731
    {'conductor': 404928, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '404928.j1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10012732
    {'conductor': 404928, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '404928.j1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10012733
    {'conductor': 404928, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '404928.j1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 10012734
    {'conductor': 404928, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '404928.j1', 'prime': 37, '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

  
  {'adelic_gens': [[1407, 2, 1407, 3], [1, 2, 0, 1], [1, 0, 2, 1], [2073, 2, 2073, 3], [2813, 2, 2813, 3], [4257, 2, 4257, 3], [1, 1, 5623, 0], [5623, 2, 5622, 3]], 'adelic_image': '5624.2.0.?', 'conductor': 404928, 'lmfdb_label': '404928.j1', 'prime': 0}
• lmfdb_iso 404928.j does not appear in ec_padic