Elliptic curve data - 436800.fz1

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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': '436800fz', 'Clabel': '436800fz4', 'Cnumber': 4, 'abc_quality': 0.9565267038133792, 'absD': 767090688000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -667233, -209553663], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 436800, 'degree': 4718592, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9684123812075006508246197247', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 155, 'isogeny_degrees': [1, 2, 4], 'jinv': [8020417344913, 187278], 'lmfdb_iso': '436800.fz', 'lmfdb_label': '436800.fz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -417, 3243], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '56.12.0.bb.1', '280.24.0.?', '312.12.0.?', '1560.24.0.?', '2184.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.2481420681379392736858578787', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.12397265415053249939839187590', 'prec': 103}, 'szpiro_ratio': 3.99209727486641, '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, 1, 0, 1, 0, -4, 0, -1, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, -1, 0, 1, -4, -1, -6, -4, 0, 6, 8, 10, -6, -4, 4, 10, 4, 6, 8, 0, 10, 8, -4, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 436800, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '436800.fz', 'trace_hash': 150973733518568804}
• 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': '0.019510065591405838218650197855', 'prec': 107}, 'conductor': 436800, 'gens': [[-472, 59, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.2481420681379392736858578787', 'prec': 100}], 'lmfdb_label': '436800.fz1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16704394174912177233391502880', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.6770111693762209848393566895155201897', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-473, 0, 1]], 'xcoord_integral_points': [-473, -472, 4427]}
• lmfdb_label 436800.fz1 does not appear in ec_iwasawa
• lmfdb_label 436800.fz1 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: 10786670
    {'conductor': 436800, 'conductor_valuation': 6, 'discriminant_valuation': 19, 'j_denominator_valuation': 1, 'kodaira_symbol': -13, 'lmfdb_label': '436800.fz1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10786671
    {'conductor': 436800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '436800.fz1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10786672
    {'conductor': 436800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '436800.fz1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10786673
    {'conductor': 436800, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '436800.fz1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10786674
    {'conductor': 436800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '436800.fz1', 'prime': 13, '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: 4358168
    {'adelic_gens': [[6824, 5725, 9005, 2424], [1, 0, 8, 1], [10913, 8, 10912, 9], [1, 8, 0, 1], [1, 4, 4, 17], [736, 6555, 7285, 2186], [5184, 8455, 7925, 5754], [7, 6, 10914, 10915], [5216, 6555, 10085, 2186], [2183, 0, 0, 10919], [7801, 6560, 7180, 4401]], 'adelic_image': '10920.48.0.?', 'conductor': 436800, 'lmfdb_label': '436800.fz1', 'prime': 0}
  • id: 1466845
    {'conductor': 436800, 'elladic_image': '4.6.0.1', 'lmfdb_label': '436800.fz1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 436800.fz does not appear in ec_padic