Elliptic curve data - 25401600.bv1

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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[]

  
  {'abc_quality': 0.7278365500886844, 'absD': 86068017745920000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8, 'ainvs': [0, 0, 0, 88200, 9878400], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 25401600, 'degree': 196411392, 'elladic_images': ['8.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9359119625591370431848147935', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 1, 'iso_nlabel': 47, 'isogeny_degrees': [1], 'jinv': [43200, 49], 'lmfdb_iso': '25401600.bv', 'lmfdb_label': '25401600.bv1', 'lmfdb_number': 1, 'min_quad_twist_ainvs': [0, 0, 0, 450, 3600], 'min_quad_twist_disc': 56, 'modell_images': [], 'modm_images': ['8.2.0.a.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '10.372577849281920730785483797', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 99225], [3, 6, 4480], [5, 14, 1016064], [7, 32, 518400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.98926253614720621670394412625', 'prec': 107}, 'szpiro_ratio': 2.68474037147067, '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, 0, 0, 0, 0, 0, 0, 0, 0, -5, 0, -2, 0, 0, 0, 3, 0, 4, 0], 'aplist': [0, 0, 0, 0, -5, -2, 3, 4, -4, -6, 8, -6, 6, -11, -6, -6, -5, -6, 8, 6, -2, -6, 3, -3, -3], 'class_deg': 1, 'class_size': 1, 'conductor': 25401600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '25401600.bv', 'trace_hash': 1450151082194728192}
• 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': '0.020820359995008245469254453471', 'prec': 107}, 'conductor': 25401600, 'gens': [[385, 10045, 1], [-80, 1520, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.4001783775280777878292599704', 'prec': 100}, {'__RealLiteral__': 0, 'data': '3.7394997662112437187514660670', 'prec': 100}], 'lmfdb_label': '25401600.bv1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.22683394211250203274379398066', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '28.234232681057232498396706049429721823', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [-80, 385]}
• lmfdb_label 25401600.bv1 does not appear in ec_iwasawa
• lmfdb_label 25401600.bv1 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: 12443157
    {'conductor': 25401600, 'conductor_valuation': 8, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '25401600.bv1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 12443158
    {'conductor': 25401600, 'conductor_valuation': 4, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '25401600.bv1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 12443159
    {'conductor': 25401600, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '25401600.bv1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 12443160
    {'conductor': 25401600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '25401600.bv1', 'prime': 7, '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: 4856526
    {'adelic_gens': [[5, 2, 5, 3], [1, 2, 0, 1], [7, 2, 6, 3], [1, 0, 2, 1], [1, 1, 7, 0], [7, 2, 7, 3]], 'adelic_image': '8.2.0.?', 'conductor': 25401600, 'lmfdb_label': '25401600.bv1', 'prime': 0}
  • id: 1662587
    {'conductor': 25401600, 'elladic_image': '8.2.0.1', 'lmfdb_label': '25401600.bv1', 'modell_image': '2G', 'prime': 2}
• lmfdb_iso 25401600.bv does not appear in ec_padic