Elliptic curve data - 441090.cx2

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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': '441090cx', 'Clabel': '441090cx4', 'Cnumber': 4, 'abc_quality': 0.9922569527414304, 'absD': 307069576338154706500320, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 45240, 'ainvs': [1, -1, 1, -39547553, -91927904623], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 441090, 'degree': 51609600, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2692062552634203176616775401', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 75, 'isogeny_degrees': [1, 2, 4], 'jinv': [1943993954077461649, 87266819409120], 'lmfdb_iso': '441090.cx', 'lmfdb_label': '441090.cx2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -26001, 1547721], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '120.12.0.?', '260.12.0.?', '312.12.0.?', '696.12.0.?', '1160.12.0.?', '1560.24.0.?', '3016.12.0.?', '3480.24.0.?', '9048.24.0.?', '15080.24.0.?', '45240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4374254321985971039373112009', 'prec': 100}, 'szpiro_ratio': 4.93133995228754, '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, 1, 0, 1, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 6, 0, -4, -1], 'aplist': [1, 0, -1, 0, 0, 0, 6, -4, 0, 1, 8, 6, -6, 4, 8, 2, -4, -6, 4, 8, -2, -4, 4, -14, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 441090, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '441090.cx', 'trace_hash': 1409586258690896150}
• 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': '0.0014467834304145939146842474490', 'prec': 110}, 'conductor': 441090, 'gens': [], 'heights': [], 'lmfdb_label': '441090.cx2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.060370410310006816731729559534', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8296328248005453385383647627424455773', 'prec': 130}, 'tamagawa_product': 320, 'torsion_generators': [[-16821, 16817, 2]], 'xcoord_integral_points': []}
• lmfdb_label 441090.cx2 does not appear in ec_iwasawa
• lmfdb_label 441090.cx2 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: 10889530
    {'conductor': 441090, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '441090.cx2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 10889531
    {'conductor': 441090, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '441090.cx2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10889532
    {'conductor': 441090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '441090.cx2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10889533
    {'conductor': 441090, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '441090.cx2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10889534
    {'conductor': 441090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '441090.cx2', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 4382690
    {'adelic_gens': [[16968, 39593, 16993, 17040], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 45234, 45235], [34799, 45232, 3476, 45207], [15076, 45239, 30137, 45234], [27148, 1, 9071, 6], [37441, 8, 14044, 33], [5656, 28283, 16969, 16998], [45233, 8, 45232, 9]], 'adelic_image': '45240.48.0.?', 'conductor': 441090, 'lmfdb_label': '441090.cx2', 'prime': 0}
  • id: 1479298
    {'conductor': 441090, 'elladic_image': '4.6.0.1', 'lmfdb_label': '441090.cx2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 441090.cx does not appear in ec_padic