Elliptic curve data - 481650.dw1

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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': '481650dw', 'Clabel': '481650dw2', 'Cnumber': 2, 'abc_quality': 1.0156937260858383, 'absD': 12605263176892851562500, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 14820, 'ainvs': [1, 0, 1, -83974076, -296243229202], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 481650, 'degree': 69120000, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2411399389478999331588392789', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 100, 'isogeny_degrees': [1, 5], 'jinv': [-1389310279182025, 267418692], 'lmfdb_iso': '481650.dw', 'lmfdb_label': '481650.dw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -19875, -1086975], 'min_quad_twist_disc': 65, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '65.24.0-5.a.2.1', '228.2.0.?', '1140.24.1.?', '14820.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0366606085138256197298416964', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 240825], [3, 4, 160550], [5, 2, 1014], [13, 86, 2850], [19, 20, 25350]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.61746699985538125296479611376', 'prec': 103}, 'szpiro_ratio': 5.070854307557088, '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, 0, -1, 2, -1, 1, 0, 3, 1, 0, -2, 0, 1, -2, -1, 1, 0], 'aplist': [-1, 1, 0, 2, 3, 0, -2, 1, -1, -5, -7, 2, -2, -6, 12, 9, 10, -13, 7, -12, -9, 5, 1, -5, 12], 'class_deg': 5, 'class_size': 2, 'conductor': 481650, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '481650.dw', 'trace_hash': 2207324468769816024}
• 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': '0.0015303177614863853632173527957', 'prec': 110}, 'conductor': 481650, 'gens': [[10713, 178177, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '6.0366606085138256197298416964', 'prec': 100}], 'lmfdb_label': '481650.dw1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.024936083074859953710966963756', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.0318402257181237613963451954307519264', 'prec': 130}, 'tamagawa_product': 60, 'torsion_generators': [], 'xcoord_integral_points': [10713]}
• lmfdb_label 481650.dw1 does not appear in ec_iwasawa
• lmfdb_label 481650.dw1 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: 11871289
    {'conductor': 481650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '481650.dw1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11871290
    {'conductor': 481650, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '481650.dw1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 11871291
    {'conductor': 481650, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '481650.dw1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11871292
    {'conductor': 481650, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '481650.dw1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11871293
    {'conductor': 481650, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '481650.dw1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 4617031
    {'adelic_gens': [[14811, 10, 14810, 11], [14247, 4550, 9100, 1871], [12546, 12545, 9685, 2276], [2406, 12545, 13195, 2276], [1, 0, 10, 1], [1, 10, 0, 1], [12546, 12545, 12155, 2276], [11399, 0, 0, 14819], [6, 13, 14765, 14701]], 'adelic_image': '14820.48.1.?', 'conductor': 481650, 'lmfdb_label': '481650.dw1', 'prime': 0}
  • id: 1595983
    {'conductor': 481650, 'elladic_image': '5.12.0.2', 'lmfdb_label': '481650.dw1', 'modell_image': '5B.4.2', 'prime': 5}
• lmfdb_iso 481650.dw does not appear in ec_padic