Elliptic curve data - 6090.bc4

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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': '6090bc', 'Clabel': '6090bc4', 'Cnumber': 4, 'abc_quality': 0.930370666986595, 'absD': 129962883750, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3480, 'ainvs': [1, 0, 0, 1130, -9238], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6090, 'degree': 8192, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.82035444974914391815925466549', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4], 'jinv': [159564039253919, 129962883750], 'lmfdb_iso': '6090.bc', 'lmfdb_label': '6090.bc4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1130, -9238], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '24.24.0-24.v.1.1', '1160.24.0.?', '3480.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.82035444974914391815925466549', 'prec': 103}, 'szpiro_ratio': 3.752806142193158, '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, 1, 1, 1, 1, 1, 1, -4, 1, 2, 1, 1, 1, 2, 1, -8, 1], 'aplist': [1, 1, 1, 1, -4, 2, 2, -8, 4, 1, 8, 6, 6, 4, 0, 6, -4, -6, -8, 8, 10, 8, 4, 6, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 6090, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '6090.bc', 'trace_hash': 930497853353362532}
• 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': '0.19384257866593814550561449194', 'prec': 103}, 'conductor': 6090, 'gens': [], 'heights': [], 'lmfdb_label': '6090.bc4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.57692229144157943099532648340', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6153783315326354479626118672186246057', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[31, -31, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 2], '3': [7, 0], '5': [1, 0], '7': [1, 0], '29': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '6090.bc4'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 318278
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '6090.bc4', 'torsion': [4]}
  • id: 318279
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '6090.bc4', 'torsion': [4]}
  • id: 318277
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '6090.bc4', 'torsion': [2, 2]}
  • id: 318281
    {'degree': 4, 'field': [9, 0, 0, 0, 1], 'lmfdb_label': '6090.bc4', 'torsion': [2, 4]}
  • id: 318280
    {'degree': 4, 'field': [294, 0, 0, 0, 1], 'lmfdb_label': '6090.bc4', 'torsion': [2, 4]}
  • id: 318285
    {'degree': 8, 'field': [-3888, 0, -3492, 0, -216, 0, 0, 0, 1], 'lmfdb_label': '6090.bc4', 'torsion': [6]}
  • id: 318283
    {'degree': 8, 'field': [20736, 0, 0, 0, -582, 0, 0, 0, 1], 'lmfdb_label': '6090.bc4', 'torsion': [8]}
  • id: 318284
    {'degree': 8, 'field': [22500, 0, 157800, 0, -719, 0, -37, 0, 1], 'lmfdb_label': '6090.bc4', 'torsion': [8]}
  • id: 318282
    {'degree': 8, 'field': [87025, 0, -3524, 0, 594, 0, 4, 0, 1], 'lmfdb_label': '6090.bc4', 'torsion': [4, 4]}
  • id: 318291
    {'degree': 16, 'field': [373321, 0, 40270112, 0, 15027436, 0, 2022824, 0, 137086, 0, -6064, 0, -404, 0, 8, 0, 1], 'lmfdb_label': '6090.bc4', 'torsion': [12]}
  • id: 318290
    {'degree': 16, 'field': [1679616, 0, -2239488, 0, 3592512, 0, -1462104, 0, 46620, 0, -40614, 0, 2772, 0, -48, 0, 1], 'lmfdb_label': '6090.bc4', 'torsion': [12]}
  • id: 318289
    {'degree': 16, 'field': [1679616, 0, 2239488, 0, 3592512, 0, 1462104, 0, 46620, 0, 40614, 0, 2772, 0, 48, 0, 1], 'lmfdb_label': '6090.bc4', 'torsion': [2, 6]}
  • id: 318286
    {'degree': 16, 'field': [112021056, 0, 0, 0, -24893568, 0, 0, 0, 1764294, 0, 0, 0, 2352, 0, 0, 0, 1], 'lmfdb_label': '6090.bc4', 'torsion': [2, 8]}
  • id: 318287
    {'degree': 16, 'field': [406224025, 0, 145016240, 0, -19181504, 0, 226328, 0, 400054, 0, 2384, 0, -1136, 0, 8, 0, 1], 'lmfdb_label': '6090.bc4', 'torsion': [2, 8]}
  • id: 318288
    {'degree': 16, 'field': [1390974924816, 0, 0, 0, 7481783736, 0, 0, 0, -8161319, 0, 0, 0, 791, 0, 0, 0, 1], 'lmfdb_label': '6090.bc4', 'torsion': [2, 8]}
• 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: 121548
    {'conductor': 6090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6090.bc4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 121549
    {'conductor': 6090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6090.bc4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 121550
    {'conductor': 6090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6090.bc4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 121551
    {'conductor': 6090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6090.bc4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 121552
    {'conductor': 6090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6090.bc4', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1703910
    {'adelic_gens': [[443, 436, 482, 2181], [1, 0, 8, 1], [697, 8, 2788, 33], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 3474, 3475], [3048, 1313, 427, 414], [2641, 8, 124, 33], [3473, 8, 3472, 9], [2324, 1, 1183, 6]], 'adelic_image': '3480.48.0.?', 'conductor': 6090, 'lmfdb_label': '6090.bc4', 'prime': 0}
  • id: 29988
    {'conductor': 6090, 'elladic_image': '4.12.0.8', 'lmfdb_label': '6090.bc4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 6090.bc does not appear in ec_padic