Elliptic curve data - 43350.do2

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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': '43350do', 'Clabel': '43350do1', 'Cnumber': 1, 'abc_quality': 1.0709629684042374, 'absD': 2305348319101680000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [1, 0, 0, -219470363, -1251463774383], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 43350, 'degree': 9139200, 'elladic_images': ['5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2035144824924662520325729742', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 92, 'isogeny_degrees': [1, 5], 'jinv': [15773608170290225, 31104], 'lmfdb_iso': '43350.do', 'lmfdb_label': '43350.do2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -759413, -255037669], 'min_quad_twist_disc': 17, 'modell_images': ['5B'], 'modm_images': ['5.6.0.a.1', '85.24.0.?', '120.12.0.?', '408.2.0.?', '2040.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1275], [3, 4, 14450], [5, 14, 578], [7, 2, 21675], [17, 98, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54212517030560406697850223305', 'prec': 103}, 'szpiro_ratio': 6.484348075431268, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 1, 1, 1, 0, 1, 3, 1, 1, 0, 5, 1, 6, 3, 0, 1, 0, 1, -5, 0], 'aplist': [1, 1, 0, 3, 5, 6, 0, -5, -4, -6, 5, 7, 10, 9, 7, 9, 0, 10, -13, -10, -16, 1, -6, -10, -8], 'class_deg': 5, 'class_size': 2, 'conductor': 43350, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '43350.do', 'trace_hash': 1983113331354496953}
• 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': '0.0016499191950184645655152825546', 'prec': 110}, 'conductor': 43350, 'gens': [], 'heights': [], 'lmfdb_label': '43350.do2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.039224334533294553370168330366', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.2371102519918562077353493768489438395', 'prec': 130}, 'tamagawa_product': 210, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [3, 0], '5': 'a', '7': [2, 0], '11': [0, 0], '13': [0, 0], '17': 'a', '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '43350.do2'}
• ec_torsion_growth •

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

  
  
  • id: 2126499
    {'degree': 3, 'field': [27, -23, -1, 1], 'lmfdb_label': '43350.do2', 'torsion': [2]}
  • id: 2126500
    {'degree': 4, 'field': [171, -101, 11, -1, 1], 'lmfdb_label': '43350.do2', 'torsion': [5]}
  • id: 2126501
    {'degree': 6, 'field': [576, 768, 106, -188, -69, -2, 1], 'lmfdb_label': '43350.do2', 'torsion': [2, 2]}
  • id: 2126502
    {'degree': 8, 'field': [-4280, -11516, -6290, 5765, -124, -79, -17, -2, 1], 'lmfdb_label': '43350.do2', 'torsion': [3]}
  • id: 2126503
    {'degree': 12, 'field': [2624544, -6678768, 7875316, -5526920, 2655776, -865876, 183581, -10150, -7123, 1136, 17, -2, 1], 'lmfdb_label': '43350.do2', 'torsion': [4]}
  • id: 2126504
    {'degree': 12, 'field': [4298535, -4918950, 2934540, -971805, 256665, -45940, 4175, 870, 15, -75, 45, -5, 1], 'lmfdb_label': '43350.do2', 'torsion': [10]}
  • id: 2126505
    {'degree': 20, 'field': [-18496256, -7123840, 9968640, 1796160, -607120, -878760, -2680560, 634140, 569040, -85910, 50259, -120100, -8875, 31290, -3190, -2750, 170, 160, -5, -10, 1], 'lmfdb_label': '43350.do2', 'torsion': [5]}
• 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: 1030932
    {'conductor': 43350, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '43350.do2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 1030933
    {'conductor': 43350, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '43350.do2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 1030934
    {'conductor': 43350, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '43350.do2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1030935
    {'conductor': 43350, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '43350.do2', 'prime': 17, '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: 1953301
    {'adelic_gens': [[1021, 10, 1025, 51], [6, 13, 1985, 1921], [2031, 10, 2030, 11], [1, 0, 10, 1], [1361, 10, 685, 51], [1533, 1030, 20, 1189], [353, 2030, 655, 1947], [511, 10, 515, 51], [1, 10, 0, 1]], 'adelic_image': '2040.48.1.?', 'conductor': 43350, 'lmfdb_label': '43350.do2', 'prime': 0}
  • id: 189115
    {'conductor': 43350, 'elladic_image': '5.6.0.1', 'lmfdb_label': '43350.do2', 'modell_image': '5B', 'prime': 5}
• lmfdb_iso 43350.do does not appear in ec_padic