Elliptic curve data - 162624.g1

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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': '162624ce', 'Clabel': '162624ce1', 'Cnumber': 1, 'abc_quality': 0.9438747812447991, 'absD': 13172544, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 42, 'ainvs': [0, -1, 0, -1547, -22911], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 162624, 'degree': 84480, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.46094467560291180146757483967', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1], 'jinv': [52906619392, 1701], 'lmfdb_iso': '162624.g', 'lmfdb_label': '162624.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -6189, 189477], 'min_quad_twist_disc': -8, 'modell_images': [], 'modm_images': ['42.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0905952650944024081391697095', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2541], [3, 4, 54208], [5, 2, 54208], [7, 8, 23232], [11, 32, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28527812681012261058469848405', 'prec': 107}, 'szpiro_ratio': 2.8040601837196606, '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, 0, -1, 0, -3, 0, -1, 0, 1, 0, 0, 0, 0, 0, 3, 0, 5, 0, -2, 0], 'aplist': [0, -1, -3, -1, 0, 0, 5, -2, 8, -6, 4, 6, -2, 11, -1, 2, 5, -14, 3, 2, 4, 8, -3, 17, 16], 'class_deg': 1, 'class_size': 1, 'conductor': 162624, 'isogeny_matrix': [[1]], 'lmfdb_iso': '162624.g', 'trace_hash': 267907780434463702}
• 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': '0.39776680949229720518999389995', 'prec': 103}, 'conductor': 162624, 'gens': [[-2712, 999, 11]], 'heights': [{'__RealLiteral__': 0, 'data': '6.0905952650944024081391697095', 'prec': 100}], 'lmfdb_label': '162624.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.76120988984817303545494271608', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6362213508523143053435708755934009916', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 162624.g1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7266866
    {'degree': 3, 'field': [57, -29, -1, 1], 'lmfdb_label': '162624.g1', 'torsion': [2]}
  • id: 7266867
    {'degree': 6, 'field': [-27, -9, 114, -3, -38, -1, 1], 'lmfdb_label': '162624.g1', 'torsion': [2, 2]}
  • id: 7266868
    {'degree': 8, 'field': [-36300, 0, 9064, 0, 660, 0, 0, 0, 1], 'lmfdb_label': '162624.g1', 'torsion': [3]}
  • id: 7266869
    {'degree': 12, 'field': [14292558, 18456896, 7619832, -918192, -1049026, 4444, 51392, -10164, -1210, 484, -22, -4, 1], 'lmfdb_label': '162624.g1', 'torsion': [4]}
• 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: 4024772
    {'conductor': 162624, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '162624.g1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4024773
    {'conductor': 162624, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '162624.g1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4024774
    {'conductor': 162624, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '162624.g1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4024775
    {'conductor': 162624, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '162624.g1', 'prime': 11, 'reduction_type': 0, '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

  
  {'adelic_gens': [[1, 1, 41, 0], [1, 2, 0, 1], [31, 2, 31, 3], [1, 0, 2, 1], [41, 2, 40, 3], [29, 2, 29, 3]], 'adelic_image': '42.2.0.?', 'conductor': 162624, 'lmfdb_label': '162624.g1', 'prime': 0}
• lmfdb_iso 162624.g does not appear in ec_padic