Elliptic curve data - 464232.r3

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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': '464232r', 'Clabel': '464232r1', 'Cnumber': 1, 'abc_quality': 1.0662343776302834, 'absD': 5910164517456, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 16008, 'ainvs': [0, 1, 0, -174367, -28082890], 'analytic_rank': 1, 'bad_primes': [2, 3, 23, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 464232, 'degree': 2408448, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6095717682821496585910406099', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4], 'jinv': [61604313088, 621], 'lmfdb_iso': '464232.r', 'lmfdb_label': '464232.r3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -207, -1080], 'min_quad_twist_disc': 29, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '138.6.0.?', '184.12.0.?', '232.12.0.?', '276.12.0.?', '348.12.0.?', '552.24.0.?', '696.24.0.?', '2668.12.0.?', '5336.24.0.?', '8004.24.0.?', '16008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.434188486213623750197027829', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 58029], [3, 4, 154744], [23, 24, 20184], [29, 422, 552]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30512520689773579147300611343', 'prec': 107}, 'szpiro_ratio': 3.664917950100567, '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, 0, 1, 0, 2, 0, -4, 0, 1, 0, 4, 0, -2, 0, 2, 0, 2, 0, 0, 0], 'aplist': [0, 1, 2, -4, 4, -2, 2, 0, 1, 0, 0, 10, 6, -8, 8, -6, -4, -14, 8, -8, 6, -12, -12, 2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 464232, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '464232.r', 'trace_hash': 2110087136440650827}
• 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': '0.039989292965419198551396878159', 'prec': 107}, 'conductor': 464232, 'gens': [[-237936463, 11748791145, 992]], 'heights': [{'__RealLiteral__': 0, 'data': '16.434188486213623750197027829', 'prec': 100}], 'lmfdb_label': '464232.r3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.23363265047244178996439868016', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.518689043193324423701636680557807863', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[-242, 0, 1]], 'xcoord_integral_points': [-242]}
• lmfdb_label 464232.r3 does not appear in ec_iwasawa
• lmfdb_label 464232.r3 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: 11449774
    {'conductor': 464232, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '464232.r3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11449775
    {'conductor': 464232, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '464232.r3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 11449776
    {'conductor': 464232, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '464232.r3', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 11449777
    {'conductor': 464232, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '464232.r3', 'prime': 29, '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: 4516539
    {'adelic_gens': [[15455, 0, 0, 16007], [1480, 14355, 2581, 15458], [10876, 15457, 3335, 13254], [7, 6, 16002, 16003], [1, 0, 8, 1], [8353, 8352, 10846, 5047], [1, 8, 0, 1], [1, 4, 4, 17], [16001, 8, 16000, 9], [12355, 12354, 2842, 13051]], 'adelic_image': '16008.48.0.?', 'conductor': 464232, 'lmfdb_label': '464232.r3', 'prime': 0}
  • id: 1546236
    {'conductor': 464232, 'elladic_image': '4.6.0.1', 'lmfdb_label': '464232.r3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 464232.r does not appear in ec_padic