Elliptic curve data - 4410.bi6

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '4410bk', 'Clabel': '4410bk2', 'Cnumber': 2, 'abc_quality': 1.0136164980344768, 'absD': 765912902060250000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 420, 'ainvs': [1, -1, 1, -254687, 26034999], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 4410, 'degree': 73728, 'elladic_images': ['4.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1286464905581326785208165160', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [21302308926361, 8930250000], 'lmfdb_iso': '4410.bi', 'lmfdb_label': '4410.bi6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -578, 2756], 'min_quad_twist_disc': 21, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '4.12.0-2.a.1.1', '6.24.0.a.1', '12.96.0-12.a.1.13', '20.24.0-20.a.1.3', '21.8.0-3.a.1.2', '42.48.0-6.a.1.2', '60.192.1-60.e.4.15', '84.192.1.?', '420.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.90780346851948134219649687981', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 441], [3, 2, 98], [5, 6, 882], [7, 32, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.60638527169642118027051752582', 'prec': 103}, 'szpiro_ratio': 5.834024068449731, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, -2, 0, 0, 1, -6, 0, -8, 1], 'aplist': [1, 0, 1, 0, 0, -2, -6, -8, 0, -6, 4, -10, -6, -4, 0, 6, -12, 10, -4, -12, 10, 8, 12, -6, 10], 'class_deg': 12, 'class_size': 8, 'conductor': 4410, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '4410.bi', 'trace_hash': 873694506651951836}
• 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': '0.014160583539963861330009937681', 'prec': 107}, 'conductor': 4410, 'gens': [[-43, 6096, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.90780346851948134219649687981', 'prec': 103}], 'lmfdb_label': '4410.bi6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.25676893366714815275551997785', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5942974861860573048886765609624055673', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[107, -54, 1], [443, -222, 1]], 'xcoord_integral_points': [-243, -43, 107, 443, 507, 737, 1577]}
• ec_iwasawa •

  Column	Type
  conductor	integer
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'conductor': 4410, 'iwdata': {'2': [3, 1], '3': 'a', '5': [2, 0], '7': 'a', '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '4410.bi6'}
• ec_torsion_growth •

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

  
  
  • id: 230488
    {'conductor': 4410, 'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '4410.bi6', 'torsion': [2, 12]}
  • id: 230490
    {'conductor': 4410, 'degree': 4, 'field': [16, 0, 13, 0, 1], 'lmfdb_label': '4410.bi6', 'torsion': [2, 4]}
  • id: 230489
    {'conductor': 4410, 'degree': 4, 'field': [676, 0, 53, 0, 1], 'lmfdb_label': '4410.bi6', 'torsion': [2, 4]}
  • id: 230491
    {'conductor': 4410, 'degree': 6, 'field': [1, -4, 9, 6, -3, -2, 1], 'lmfdb_label': '4410.bi6', 'torsion': [2, 6]}
  • id: 230493
    {'conductor': 4410, 'degree': 8, 'field': [16, 0, 248, 0, 24, 0, -22, 0, 1], 'lmfdb_label': '4410.bi6', 'torsion': [2, 24]}
  • id: 230492
    {'conductor': 4410, 'degree': 8, 'field': [1780, 700, -566, -254, 93, 38, -8, -4, 1], 'lmfdb_label': '4410.bi6', 'torsion': [4, 12]}
  • id: 230494
    {'conductor': 4410, 'degree': 12, 'field': [1, -5, 21, -22, 19, 21, -20, 21, 3, -8, 7, -3, 1], 'lmfdb_label': '4410.bi6', 'torsion': [6, 12]}
  • id: 230496
    {'conductor': 4410, 'degree': 16, 'field': [256, 0, 0, 0, 436, 0, 0, 0, 321, 0, 0, 0, 106, 0, 0, 0, 1], 'lmfdb_label': '4410.bi6', 'torsion': [2, 8]}
  • id: 230495
    {'conductor': 4410, 'degree': 16, 'field': [456976, 0, 0, 0, 95281, 0, 0, 0, 1011, 0, 0, 0, 211, 0, 0, 0, 1], 'lmfdb_label': '4410.bi6', 'torsion': [2, 8]}
  • id: 230497
    {'conductor': 4410, 'degree': 18, 'field': [-675, -78975, 1279800, -10305315, 39408930, -78532470, 87585279, -57187593, 22602348, -6026640, 1589220, -507033, 123751, -20301, 3840, -770, 78, -6, 1], 'lmfdb_label': '4410.bi6', 'torsion': [2, 36]}
• 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: 83786
    {'conductor': 4410, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '4410.bi6', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 83787
    {'conductor': 4410, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '4410.bi6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 83788
    {'conductor': 4410, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '4410.bi6', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 83789
    {'conductor': 4410, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '4410.bi6', 'prime': 7, 'reduction_type': 0, '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: 1692635
    {'adelic_gens': [[409, 12, 408, 13], [211, 12, 0, 1], [413, 414, 186, 5], [273, 410, 278, 417], [1, 12, 0, 1], [1, 0, 12, 1], [337, 12, 342, 73], [9, 4, 404, 413]], 'adelic_image': '420.384.5.?', 'conductor': 4410, 'lmfdb_label': '4410.bi6', 'prime': 0}
  • id: 21871
    {'conductor': 4410, 'elladic_image': '4.12.0.1', 'lmfdb_label': '4410.bi6', 'modell_image': '2Cs', 'prime': 2}
  • id: 21872
    {'conductor': 4410, 'elladic_image': '3.4.0.1', 'lmfdb_label': '4410.bi6', 'modell_image': '3B', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 157256
    {'lmfdb_iso': '4410.bi', 'p': 13, 'prec': 20, 'unit': 750803199687706951901, 'val': 1}
  • id: 157258
    {'lmfdb_iso': '4410.bi', 'p': 17, 'prec': 20, 'unit': 154708475673715790787273, 'val': 1}
  • id: 157248
    {'lmfdb_iso': '4410.bi', 'p': 19, 'prec': 20, 'unit': 1896903539239952523362808, 'val': 1}
  • id: 157255
    {'lmfdb_iso': '4410.bi', 'p': 29, 'prec': 20, 'unit': 449400770143479020939998434, 'val': 1}
  • id: 157265
    {'lmfdb_iso': '4410.bi', 'p': 31, 'prec': 20, 'unit': 8752871050010787168570359319, 'val': 1}
  • id: 157251
    {'lmfdb_iso': '4410.bi', 'p': 37, 'prec': 20, 'unit': 245267122088056400266634069463, 'val': 1}
  • id: 157253
    {'lmfdb_iso': '4410.bi', 'p': 41, 'prec': 20, 'unit': 2221338963994005474379661049628, 'val': 1}
  • id: 157254
    {'lmfdb_iso': '4410.bi', 'p': 43, 'prec': 20, 'unit': 6571869624474957152488847784113, 'val': 1}
  • id: 157260
    {'lmfdb_iso': '4410.bi', 'p': 53, 'prec': 20, 'unit': 103172601269008802492261732356652, 'val': 1}
  • id: 157263
    {'lmfdb_iso': '4410.bi', 'p': 59, 'prec': 20, 'unit': 77574293523895889441093412102545, 'val': 1}
  • id: 157264
    {'lmfdb_iso': '4410.bi', 'p': 61, 'prec': 20, 'unit': 2173862210708834969173755377815581, 'val': 1}
  • id: 157250
    {'lmfdb_iso': '4410.bi', 'p': 67, 'prec': 20, 'unit': 24407743840574097998734715985495900, 'val': 1}
  • id: 157252
    {'lmfdb_iso': '4410.bi', 'p': 71, 'prec': 20, 'unit': 33798206520127427317226128928866786, 'val': 1}
  • id: 157261
    {'lmfdb_iso': '4410.bi', 'p': 73, 'prec': 20, 'unit': 4282676760686883391388116639276336, 'val': 1}
  • id: 157257
    {'lmfdb_iso': '4410.bi', 'p': 79, 'prec': 20, 'unit': 1064571551927719644392038105273444190, 'val': 1}
  • id: 157259
    {'lmfdb_iso': '4410.bi', 'p': 83, 'prec': 20, 'unit': 1797228756375593569152988608879184222, 'val': 1}
  • id: 157262
    {'lmfdb_iso': '4410.bi', 'p': 89, 'prec': 20, 'unit': 6531959434883240779797319584506021720, 'val': 1}
  • id: 157249
    {'lmfdb_iso': '4410.bi', 'p': 97, 'prec': 20, 'unit': 17724941938159461552770986160773910202, 'val': 1}