Elliptic curve data - 435600.jx2

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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': '435600jx', 'Clabel': '435600jx5', 'Cnumber': 5, 'abc_quality': 0.9967634929262502, 'absD': 1076289411580726004640000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, 0, 0, -762309075, 7945856707250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 435600, 'degree': 188743680, 'elladic_images': ['16.24.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9749344580063871866632738834', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 257, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1185450336504002, 26043266205], 'lmfdb_iso': '435600.jx', 'lmfdb_label': '435600.jx2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -28000, -1759508], 'min_quad_twist_disc': -660, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.f.2', '24.24.0-8.n.1.4', '40.24.0.bp.1', '48.48.0-16.f.2.13', '80.48.0.?', '88.24.0.?', '120.48.0.?', '176.48.0.?', '240.96.0.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '660.12.0.?', '880.96.1.?', '1320.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 4, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5348718720313097330737126421', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 27225], [3, 8, 48400], [5, 18, 17424], [11, 72, 3600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78657680554281368133517036467', 'prec': 103}, 'szpiro_ratio': 5.6197239174731, '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, 0, 0, 0, -2, 6, -4, 0, 6, 8, -6, 10, 4, 8, -10, -12, -6, -4, 0, -14, 0, 4, 6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 435600, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '435600.jx', 'trace_hash': 1701002049075562533}
• 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': '0.00035270839602097035305917706430', 'prec': 113}, 'conductor': 435600, 'gens': [[22045, 1361700, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.5348718720313097330737126421', 'prec': 100}], 'lmfdb_label': '435600.jx2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.049037510278572249134331959007', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.6853227620901048771459790913600908687', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[17710, 0, 1]], 'xcoord_integral_points': [17710, 22045]}
• lmfdb_label 435600.jx2 does not appear in ec_iwasawa
• lmfdb_label 435600.jx2 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: 10757509
    {'conductor': 435600, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '435600.jx2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10757510
    {'conductor': 435600, 'conductor_valuation': 2, 'discriminant_valuation': 22, 'j_denominator_valuation': 16, 'kodaira_symbol': -20, 'lmfdb_label': '435600.jx2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10757511
    {'conductor': 435600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '435600.jx2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10757512
    {'conductor': 435600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '435600.jx2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 4351265
    {'adelic_gens': [[1, 16, 0, 1], [227, 864, 336, 2075], [676, 2421, 1479, 1330], [989, 864, 330, 1979], [1568, 1755, 45, 14], [15, 2, 2542, 2627], [1, 0, 16, 1], [5, 4, 2636, 2637], [2625, 16, 2624, 17], [1759, 0, 0, 2639]], 'adelic_image': '2640.192.1.?', 'conductor': 435600, 'lmfdb_label': '435600.jx2', 'prime': 0}
  • id: 1463276
    {'conductor': 435600, 'elladic_image': '16.24.0.6', 'lmfdb_label': '435600.jx2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 435600.jx does not appear in ec_padic