Elliptic curve data - 432960.x2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '432960x', 'Clabel': '432960x4', 'Cnumber': 4, 'abc_quality': 0.9697120774642616, 'absD': 1260443127398400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 10824, 'ainvs': [0, -1, 0, -2887681, -805042175], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11, 41], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 432960, 'degree': 14155776, 'elladic_images': ['8.48.0.106'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7429148570360570737269104490', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [10158546821506606081, 4808208951562500], 'lmfdb_iso': '432960.x', 'lmfdb_label': '432960.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -45120, -1577988], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.d.1.9', '132.24.0.?', '264.96.0.?', '328.96.0.?', '10824.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '13.399096834061680703170168110', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 144320], [5, 6, 86592], [11, 12, 39360], [41, 42, 10560]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7031940861961391096010622668', 'prec': 100}, 'szpiro_ratio': 4.333468965556785, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 0, 0, 0, 1, 0, -1, 0, 2, 0, 1, 0, 2, 0, -4, 0], 'aplist': [0, -1, -1, 0, -1, 2, 2, -4, 0, -6, 0, -6, 1, -4, -8, -6, -4, 2, -4, 0, -6, 8, 12, -14, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 432960, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '432960.x', 'trace_hash': 1103865463494372081}
• 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': '0.0041450944089329993815609599308', 'prec': 110}, 'conductor': 432960, 'gens': [[-881, 32472, 1], [67425, 17502080, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2871280818885692592237803282', 'prec': 100}, {'__RealLiteral__': 0, 'data': '5.9204614158018132552389999606', 'prec': 100}], 'lmfdb_label': '432960.x2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.12130881941214131667397102980', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '13.003428945031862965511043609861767871', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-287, 0, 1], [1825, 0, 1]], 'xcoord_integral_points': [-1537, -881, -799, -576, -287, 1825, 67425, 610081]}
• lmfdb_label 432960.x2 does not appear in ec_iwasawa
• lmfdb_label 432960.x2 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: 10692535
    {'conductor': 432960, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '432960.x2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10692536
    {'conductor': 432960, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '432960.x2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10692537
    {'conductor': 432960, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '432960.x2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10692538
    {'conductor': 432960, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '432960.x2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10692539
    {'conductor': 432960, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '432960.x2', 'prime': 41, '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: 4336065
    {'adelic_gens': [[10821, 2698, 2714, 21], [1, 2714, 0, 8119], [1, 0, 8, 1], [5, 4, 10820, 10821], [10817, 8, 10816, 9], [7879, 2, 2934, 10819], [10297, 8, 8716, 33], [7223, 2, 10806, 10819], [1, 8, 0, 1]], 'adelic_image': '10824.192.1.?', 'conductor': 432960, 'lmfdb_label': '432960.x2', 'prime': 0}
  • id: 1455797
    {'conductor': 432960, 'elladic_image': '8.48.0.106', 'lmfdb_label': '432960.x2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 432960.x does not appear in ec_padic