Elliptic curve data - 444048.i1

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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': '444048i', 'Clabel': '444048i1', 'Cnumber': 1, 'abc_quality': 0.8998374598851433, 'absD': 3631275343872, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8, 'ainvs': [0, -1, 0, -5384, 123120], 'analytic_rank': 2, 'bad_primes': [2, 3, 11, 29], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 444048, 'degree': 691200, 'elladic_images': ['8.2.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1247812050633635589286342448', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1], 'jinv': [5011452097, 1054152], 'lmfdb_iso': '444048.i', 'lmfdb_label': '444048.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -337, -1924], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['8.2.0.b.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.2106209277549283338859545738', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 841], [3, 4, 148016], [11, 12, 40368], [29, 170, 528]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12958194716099408835247654872', 'prec': 107}, 'szpiro_ratio': 2.8751343110039596, '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, -1, 0, -2, 0, 3, 0, 1, 0, -1, 0, -4, 0, 2, 0, 1, 0, 2, 0], 'aplist': [0, -1, -2, 3, -1, -4, 1, 2, 3, 0, -5, -10, 2, -12, 3, 4, 8, -4, -12, -3, -11, 1, -6, -9, 3], 'class_deg': 1, 'class_size': 1, 'conductor': 444048, 'isogeny_matrix': [[1]], 'lmfdb_iso': '444048.i', 'trace_hash': 1253338419657390204}
• 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': '0.10544535628783535640608494525', 'prec': 103}, 'conductor': 444048, 'gens': [[98, 726, 1], [-23, 484, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0633414539418407955850052780', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.1070918640682449998684265138', 'prec': 100}], 'lmfdb_label': '444048.i1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.74570405418241880043216171821', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '13.187751904698799959276066868102104472', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [-70, -23, 26, 61, 98, 80605]}
• lmfdb_label 444048.i1 does not appear in ec_iwasawa
• lmfdb_label 444048.i1 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: 10960737
    {'conductor': 444048, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '444048.i1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10960738
    {'conductor': 444048, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '444048.i1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10960739
    {'conductor': 444048, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '444048.i1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10960740
    {'conductor': 444048, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '444048.i1', 'prime': 29, 'reduction_type': 0, '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: 4400019
    {'adelic_gens': [[7, 2, 0, 1], [1, 0, 2, 1], [1, 1, 7, 0], [1, 2, 0, 1], [5, 2, 5, 3], [7, 2, 6, 3]], 'adelic_image': '8.2.0.?', 'conductor': 444048, 'lmfdb_label': '444048.i1', 'prime': 0}
  • id: 1487998
    {'conductor': 444048, 'elladic_image': '8.2.0.2', 'lmfdb_label': '444048.i1', 'modell_image': '2G', 'prime': 2}
• lmfdb_iso 444048.i does not appear in ec_padic