Elliptic curve data - 488400.ct1

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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': '488400ct', 'Clabel': '488400ct1', 'Cnumber': 1, 'abc_quality': 0.7699243999571325, 'absD': 6251520000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 24420, 'ainvs': [0, -1, 0, 2992, -103488], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 488400, 'degree': 774144, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1396221362649971912475481315', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 71, 'isogeny_degrees': [1], 'jinv': [46268279, 97680], 'lmfdb_iso': '488400.ct', 'lmfdb_label': '488400.ct1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 8, 16], 'min_quad_twist_disc': -20, 'modell_images': [], 'modm_images': ['24420.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7534377177633579898534257334', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.35824400051199830547006365657', 'prec': 107}, 'szpiro_ratio': 2.7939925411092346, '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, 0, 0, 2, 0, 1, 0, -1, 0, 2, 0, 0, 0, 3, 0, 6, 0], 'aplist': [0, -1, 0, 2, -1, 2, 3, 6, -1, 0, -3, 1, -5, 9, 6, 3, -10, -1, -5, -15, -5, 14, 4, -7, -15], 'class_deg': 1, 'class_size': 1, 'conductor': 488400, 'isogeny_matrix': [[1]], 'lmfdb_iso': '488400.ct', 'trace_hash': 418068851193826463}
• 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': '0.10236153491614249805595512782', 'prec': 103}, 'conductor': 488400, 'gens': [[202, 2950, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.7534377177633579898534257334', 'prec': 100}], 'lmfdb_label': '488400.ct1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.39203559399998990250314708670', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.6355647298026767852651513763407379811', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [202]}
• lmfdb_label 488400.ct1 does not appear in ec_iwasawa
• lmfdb_label 488400.ct1 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: 12043051
    {'conductor': 488400, 'conductor_valuation': 4, 'discriminant_valuation': 16, 'j_denominator_valuation': 4, 'kodaira_symbol': -12, 'lmfdb_label': '488400.ct1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 12043052
    {'conductor': 488400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '488400.ct1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 12043053
    {'conductor': 488400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '488400.ct1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 12043054
    {'conductor': 488400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '488400.ct1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 12043055
    {'conductor': 488400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '488400.ct1', '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': [[12211, 2, 12211, 3], [19537, 2, 19537, 3], [1, 0, 2, 1], [1, 2, 0, 1], [3961, 2, 3961, 3], [24419, 2, 24418, 3], [11101, 2, 11101, 3], [1, 1, 24419, 0], [8141, 2, 8141, 3]], 'adelic_image': '24420.2.0.?', 'conductor': 488400, 'lmfdb_label': '488400.ct1', 'prime': 0}
• lmfdb_iso 488400.ct does not appear in ec_padic