Elliptic curve data - 476850.o1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '476850o', 'Clabel': '476850o2', 'Cnumber': 2, 'abc_quality': 0.9086493978698573, 'absD': 2827778438020078125000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [1, 1, 0, -6358150, 5612819500], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 476850, 'degree': 31850496, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8526575838516872273426980689', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [75370704203521, 7497765000], 'lmfdb_iso': '476850.o', 'lmfdb_label': '476850.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -880, 8777], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '132.6.0.?', '136.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5381538506148836689655287328', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.63133195560652899991755109335', 'prec': 103}, 'szpiro_ratio': 4.482565118407897, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, 0, 1, -2, -1, 1, 0, -1, -1, 4, 2, 0, 1, 0, -1, -2, 0], 'aplist': [-1, -1, 0, -2, -1, 4, 0, -2, 6, 2, 8, -6, -2, 6, -8, 0, 10, 6, 8, 10, 12, 6, -4, -18, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 476850, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '476850.o', 'trace_hash': 1333775068165318355}
• 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': '0.0033282282697565258999038971776', 'prec': 110}, 'conductor': 476850, 'gens': [[145, 68440, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.5381538506148836689655287328', 'prec': 100}], 'lmfdb_label': '476850.o1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13913404248514775098731565377', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0512935252447046758656098855581124434', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[7195, -7195, 2]], 'xcoord_integral_points': [145]}
• lmfdb_label 476850.o1 does not appear in ec_iwasawa
• lmfdb_label 476850.o1 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: 11754635
    {'conductor': 476850, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '476850.o1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11754636
    {'conductor': 476850, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '476850.o1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11754637
    {'conductor': 476850, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '476850.o1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 11754638
    {'conductor': 476850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '476850.o1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11754639
    {'conductor': 476850, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '476850.o1', 'prime': 17, '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: 4589694
    {'adelic_gens': [[1, 0, 4, 1], [409, 4, 818, 9], [2993, 4, 1498, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 2243, 0], [2114, 1, 3431, 0], [3929, 562, 560, 3927], [4485, 4, 4484, 5]], 'adelic_image': '4488.12.0.?', 'conductor': 476850, 'lmfdb_label': '476850.o1', 'prime': 0}
  • id: 1582553
    {'conductor': 476850, 'elladic_image': '2.3.0.1', 'lmfdb_label': '476850.o1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 476850.o does not appear in ec_padic