Elliptic curve data - 400710.d2

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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': '400710d', 'Clabel': '400710d1', 'Cnumber': 1, 'abc_quality': 1.0193685763415146, 'absD': 1362544603556858560512000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 84360, 'ainvs': [1, 1, 0, -30105963, 84820077693], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19, 37], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 400710, 'degree': 56453760, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3376475574571233574262138150', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [-64144540676215729729, 28962038218752000], 'lmfdb_iso': '400710.d', 'lmfdb_label': '400710.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -83396, -12375024], 'min_quad_twist_disc': -19, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '57.8.0-3.a.1.1', '1480.2.0.?', '4440.8.0.?', '84360.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 2, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 66785], [3, 4, 13357], [5, 6, 80142], [11, 2, 200355], [19, 182, 1110], [37, 38, 10830]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8654280678739031274217000991', 'prec': 100}, 'szpiro_ratio': 4.949311753124666, '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, -1, 1, -1, -1, 1, 1, 3, -1, -2, 1, 1, 1, 3, -1, 0, -1], 'aplist': [-1, -1, -1, -1, 3, -2, 3, 0, 0, 3, 1, -1, -9, 11, 0, 9, 6, -1, -8, 12, 8, 4, -6, 6, 13], 'class_deg': 3, 'class_size': 2, 'conductor': 400710, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '400710.d', 'trace_hash': 483974726906108849}
• 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': '0.0012617001843549893497952556381', 'prec': 110}, 'conductor': 400710, 'gens': [], 'heights': [], 'lmfdb_label': '400710.d2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.080011263021890778576618485374', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2801802083502524572258957659771111633', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 400710.d2 does not appear in ec_iwasawa
• lmfdb_label 400710.d2 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: 9910996
    {'conductor': 400710, 'conductor_valuation': 1, 'discriminant_valuation': 33, 'j_denominator_valuation': 33, 'kodaira_symbol': 37, 'lmfdb_label': '400710.d2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9910997
    {'conductor': 400710, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '400710.d2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9910998
    {'conductor': 400710, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '400710.d2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9910999
    {'conductor': 400710, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '400710.d2', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9911000
    {'conductor': 400710, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '400710.d2', '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: 4148757
    {'adelic_gens': [[42181, 4446, 2223, 13339], [4, 3, 9, 7], [50617, 4446, 27531, 13339], [84355, 6, 84354, 7], [71039, 0, 0, 84359], [66121, 4446, 74043, 13339], [24606, 64201, 38665, 77331], [63271, 4446, 65493, 13339], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '84360.16.0.?', 'conductor': 400710, 'lmfdb_label': '400710.d2', 'prime': 0}
  • id: 1361856
    {'conductor': 400710, 'elladic_image': '3.4.0.1', 'lmfdb_label': '400710.d2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 400710.d does not appear in ec_padic