Elliptic curve data - 158400.do1

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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': '158400de', 'Clabel': '158400de2', 'Cnumber': 2, 'abc_quality': 0.8684682961075777, 'absD': 67744512000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 132, 'ainvs': [0, 0, 0, -11100, -214000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 158400, 'degree': 393216, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3493051263955077706730011196', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 92, 'isogeny_degrees': [1, 2], 'jinv': [810448, 363], 'lmfdb_iso': '158400.do', 'lmfdb_label': '158400.do1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -12, -12], 'min_quad_twist_disc': 120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '44.6.0.c.1', '132.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8473387301097313223503434253', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 17600], [5, 14, 6336], [11, 12, 14400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.81339168480886678997843864051', 'prec': 107}, 'szpiro_ratio': 3.303942601690162, '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, -2, 0, 0, 0, -1, 0, -2, 0, 0, 0, 4, 0, -6, 0], 'aplist': [0, 0, 0, -2, -1, -2, 4, -6, 0, -8, 8, 10, -8, 2, 8, 2, -12, -10, -12, 8, -6, 2, 16, 14, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 158400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '158400.do', 'trace_hash': 802757076020576012}
• 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': '0.067298976343856730878405698502', 'prec': 107}, 'conductor': 158400, 'gens': [[-64, 484, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8473387301097313223503434253', 'prec': 100}], 'lmfdb_label': '158400.do1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.48497713324531796040406318825', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5235766988279264078551320217193731124', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-20, 0, 1]], 'xcoord_integral_points': [-64, -20, 205]}
• lmfdb_label 158400.do1 does not appear in ec_iwasawa
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 7088343
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '158400.do1', 'torsion': [2, 2]}
  • id: 7088344
    {'degree': 4, 'field': [300, 0, 10, 0, 1], 'lmfdb_label': '158400.do1', 'torsion': [4]}
  • id: 7088347
    {'degree': 8, 'field': [-7500, 0, -9750, 0, 900, 0, -50, 0, 1], 'lmfdb_label': '158400.do1', 'torsion': [6]}
  • id: 7088345
    {'degree': 8, 'field': [-2216, 4112, -968, -400, 112, 32, -20, -4, 1], 'lmfdb_label': '158400.do1', 'torsion': [2, 4]}
  • id: 7088346
    {'degree': 8, 'field': [5625, 0, 1500, 0, 1075, 0, 20, 0, 1], 'lmfdb_label': '158400.do1', 'torsion': [2, 4]}
  • id: 7088348
    {'degree': 16, 'field': [235225, -805100, 1664320, -756540, 801536, -325988, 667824, -288964, 86602, -29996, 10080, -3964, 944, -132, 16, -4, 1], 'lmfdb_label': '158400.do1', 'torsion': [8]}
  • id: 7088349
    {'degree': 16, 'field': [13873024, 62896256, -96403152, 57954728, -21190439, 4440996, -2345600, 1822760, -604749, -48496, 33298, -2016, 1321, -328, 6, -4, 1], 'lmfdb_label': '158400.do1', 'torsion': [2, 6]}
• 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: 3917209
    {'conductor': 158400, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '158400.do1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3917210
    {'conductor': 158400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '158400.do1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3917211
    {'conductor': 158400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '158400.do1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3917212
    {'conductor': 158400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '158400.do1', 'prime': 11, 'reduction_type': -1, '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: 2688759
    {'adelic_gens': [[1, 2, 2, 5], [46, 1, 43, 0], [3, 4, 8, 11], [100, 37, 33, 100], [1, 4, 0, 1], [13, 4, 26, 9], [1, 0, 4, 1], [129, 4, 128, 5]], 'adelic_image': '132.12.0.?', 'conductor': 158400, 'lmfdb_label': '158400.do1', 'prime': 0}
  • id: 603693
    {'conductor': 158400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '158400.do1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 158400.do does not appear in ec_padic