Elliptic curve data - 438702.b1

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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': '438702b', 'Clabel': '438702b2', 'Cnumber': 2, 'abc_quality': 0.9459165128632454, 'absD': 847840749624, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 9384, 'ainvs': [1, 1, 0, -125304, -17124696], 'analytic_rank': 2, 'bad_primes': [2, 3, 11, 17, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 438702, 'degree': 1990656, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5018012013543317265947685281', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [752880570738483817, 2933705016], 'lmfdb_iso': '438702.b', 'lmfdb_label': '438702.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -125304, -17124696], 'min_quad_twist_disc': 1, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '51.8.0-3.a.1.1', '184.2.0.?', '552.8.0.?', '9384.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.9934638393989108039178844997', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 6647], [3, 4, 6647], [11, 12, 39882], [17, 66, 1518], [23, 24, 19074]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0295989773449623798865127585', 'prec': 100}, 'szpiro_ratio': 3.6045750699854615, '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, -3, 1, 1, -1, 1, 3, 1, -1, 2, -1, 3, 1, 0, -1, 2, -3], 'aplist': [-1, -1, -3, 1, 1, 2, 0, 2, -1, -6, 4, 7, 3, -4, -12, -9, -9, -2, -4, 12, 1, -11, -6, -12, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 438702, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '438702.b', 'trace_hash': 434781941543076809}
• 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': '0.049608037961340811448879621023', 'prec': 107}, 'conductor': 438702, 'gens': [[-205, 97, 1], [-10023, 36714, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '0.96598995884768963220256501439', 'prec': 103}, {'__RealLiteral__': 0, 'data': '3.1091903253455793493775583500', 'prec': 100}], 'lmfdb_label': '438702.b1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.25375112198107688216894551741', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '0.99999999999999999999999999999', 'prec': 103}, 'special_value': {'__RealLiteral__': 0, 'data': '9.1151376942870690373936661598569483510', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [-205, 411, 961, 3109803]}
• lmfdb_label 438702.b1 does not appear in ec_iwasawa
• lmfdb_label 438702.b1 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: 10832819
    {'conductor': 438702, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '438702.b1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10832820
    {'conductor': 438702, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '438702.b1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10832821
    {'conductor': 438702, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '438702.b1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 10832822
    {'conductor': 438702, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '438702.b1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10832823
    {'conductor': 438702, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '438702.b1', 'prime': 23, '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: 4369289
    {'adelic_gens': [[2763, 2, 6082, 7], [3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [9379, 6, 9378, 7], [2857, 6, 8571, 19], [4693, 6, 4695, 19], [7039, 6, 2349, 19], [6650, 2739, 1183, 4699], [1, 6, 0, 1]], 'adelic_image': '9384.16.0.?', 'conductor': 438702, 'lmfdb_label': '438702.b1', 'prime': 0}
  • id: 1472480
    {'conductor': 438702, 'elladic_image': '3.4.0.1', 'lmfdb_label': '438702.b1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 438702.b does not appear in ec_padic