Elliptic curve data - 448800.cm2

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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': '448800cm', 'Clabel': '448800cm2', 'Cnumber': 2, 'abc_quality': 0.9743109355891132, 'absD': 116191511308283400000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 44880, 'ainvs': [0, -1, 0, -18142008, 24818325012], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 448800, 'degree': 47185920, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1454816437835658794761736759', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 64, 'isogeny_degrees': [1, 2, 4], 'jinv': [82544817451565439368, 14523938913535425], 'lmfdb_iso': '448800.cm', 'lmfdb_label': '448800.cm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -725680, -198256328], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '20.12.0-4.c.1.2', '40.24.0-8.o.1.1', '136.24.0.?', '272.48.0.?', '528.24.0.?', '680.48.0.?', '1360.96.0.?', '2640.48.0.?', '8976.96.1.?', '44880.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.961953140067403860843698088', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8209023021465567101128699182', 'prec': 100}, 'szpiro_ratio': 4.745139601220746, '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, 0, -1, 0, 0, 0, 4, 0, 1, 0, -1, 0, 2, 0, 0, 0, -1, 0, 0, 0], 'aplist': [0, -1, 0, 4, -1, 2, -1, 0, 4, -2, 4, 10, 10, -8, 8, -6, 0, -2, -8, -4, -2, 4, 0, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 448800, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '448800.cm', 'trace_hash': 1169288479285770889}
• 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': '0.0018529741399195837075874023923', 'prec': 110}, 'conductor': 448800, 'gens': [[-2498908, 5587259150, 29]], 'heights': [{'__RealLiteral__': 0, 'data': '11.961953140067403860843698088', 'prec': 100}], 'lmfdb_label': '448800.cm2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10011479371525304309653963777', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.5805477683949722270974887935298778911', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[3237, 0, 1]], 'xcoord_integral_points': [3237]}
• lmfdb_label 448800.cm2 does not appear in ec_iwasawa
• lmfdb_label 448800.cm2 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: 11077679
    {'conductor': 448800, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '448800.cm2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11077680
    {'conductor': 448800, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '448800.cm2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11077681
    {'conductor': 448800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '448800.cm2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 11077682
    {'conductor': 448800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '448800.cm2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11077683
    {'conductor': 448800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '448800.cm2', 'prime': 17, '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

  
  
  • id: 4427772
    {'adelic_gens': [[1, 16, 0, 1], [1, 8, 8, 65], [40801, 16, 12248, 129], [26921, 44870, 9002, 37], [15, 166, 44594, 41715], [1, 22456, 39270, 16831], [11228, 11229, 22463, 22466], [1, 0, 16, 1], [23774, 3, 26493, 20], [29921, 16, 14968, 129], [44865, 16, 44864, 17]], 'adelic_image': '44880.192.3.?', 'conductor': 448800, 'lmfdb_label': '448800.cm2', 'prime': 0}
  • id: 1501677
    {'conductor': 448800, 'elladic_image': '8.12.0.10', 'lmfdb_label': '448800.cm2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 448800.cm does not appear in ec_padic