Elliptic curve data - 402930.cm1

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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': '402930cm', 'Clabel': '402930cm1', 'Cnumber': 1, 'abc_quality': 0.8841432415229432, 'absD': 477843148530, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 146520, 'ainvs': [1, -1, 0, -58284, 5430618], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 402930, 'degree': 1166400, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3570406992728058703260956199', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 64, 'isogeny_degrees': [1, 3, 9], 'jinv': [-16954786009, 370], 'lmfdb_iso': '402930.cm', 'lmfdb_label': '402930.cm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -54, 146], 'min_quad_twist_disc': 33, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '33.8.0-3.a.1.1', '99.24.0.?', '333.36.0.?', '1480.2.0.?', '3663.72.0.?', '4440.8.0.?', '13320.72.3.?', '48840.16.0.?', '146520.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3543617272838267140926351283', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 201465], [3, 2, 44770], [5, 6, 80586], [11, 62, 3330], [37, 38, 10890]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39121308146043424740249878754', 'prec': 107}, 'szpiro_ratio': 3.450419286247394, '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, 0, 1, 1, 0, 1, -1, 0, -1, 0, 0, 4, -1, 0, 1, 3, 0, -2, 1], 'aplist': [-1, 0, 1, 1, 0, 4, 3, -2, -6, 3, 5, 1, 3, 1, -12, -3, 0, 1, -4, -6, 16, -8, -12, 6, 17], 'class_deg': 9, 'class_size': 3, 'conductor': 402930, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '402930.cm', 'trace_hash': 378181091173804255}
• 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': '0.066265796914565703460136317033', 'prec': 107}, 'conductor': 402930, 'gens': [[-51, 2901, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.3543617272838267140926351283', 'prec': 100}], 'lmfdb_label': '402930.cm1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.86265693324656288301465889773', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.5126406678097447097008214295971995576', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-51]}
• lmfdb_label 402930.cm1 does not appear in ec_iwasawa
• lmfdb_label 402930.cm1 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: 9964418
    {'conductor': 402930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '402930.cm1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9964419
    {'conductor': 402930, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '402930.cm1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9964420
    {'conductor': 402930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '402930.cm1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9964421
    {'conductor': 402930, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '402930.cm1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9964422
    {'conductor': 402930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '402930.cm1', 'prime': 37, '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: 4161548
    {'adelic_gens': [[46630, 119889, 136521, 26632], [1, 18, 0, 1], [119890, 119889, 143847, 26632], [146503, 18, 146502, 19], [1, 18, 10, 181], [10, 9, 81, 73], [13319, 0, 0, 146519], [123199, 126522, 33462, 71675], [1, 0, 18, 1], [55804, 119889, 137511, 13300], [119890, 119889, 99891, 26632]], 'adelic_image': '146520.144.3.?', 'conductor': 402930, 'lmfdb_label': '402930.cm1', 'prime': 0}
  • id: 1368081
    {'conductor': 402930, 'elladic_image': '9.12.0.1', 'lmfdb_label': '402930.cm1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 402930.cm does not appear in ec_padic