Elliptic curve data - 21294.br2

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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': '21294cr', 'Clabel': '21294cr1', 'Cnumber': 1, 'abc_quality': 0.7693806128051703, 'absD': 8325347738526, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 168, 'ainvs': [1, -1, 1, 4531, 72947], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 21294, 'degree': 56160, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1670353024679210739618198874', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 43, 'isogeny_degrees': [1, 3], 'jinv': [17303, 14], 'lmfdb_iso': '21294.br', 'lmfdb_label': '21294.br2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 3, -1], 'min_quad_twist_disc': -39, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '56.2.0.b.1', '168.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0922370801738249291047943588', 'prec': 103}, 'szpiro_ratio': 3.6995018619904054, '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, 0, 1, -3, 0, 1, 1, 0, -3, 0, 0, 0, 1, 0, 1, -6, 0, -4, -3], 'aplist': [1, 0, -3, 1, 0, 0, -6, -4, -3, -6, -10, 8, 0, 8, -6, -12, -3, 11, 2, 3, 2, -4, 0, 6, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 21294, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '21294.br', 'trace_hash': 960281692416406276}
• 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': '0.096900499535281343584529966255', 'prec': 107}, 'conductor': 21294, 'gens': [], 'heights': [], 'lmfdb_label': '21294.br2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.47477177577518726614776636446', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4243153273255617984432990933832105886', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': [0, 0], '7': [1, 0], '11': [0, 0, 0], '13': 'a', '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '21294.br2'}
• ec_torsion_growth •

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

  
  
  • id: 1083748
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '21294.br2', 'torsion': [3]}
  • id: 1083750
    {'degree': 3, 'field': [-27, 61, -1, 1], 'lmfdb_label': '21294.br2', 'torsion': [3]}
  • id: 1083749
    {'degree': 3, 'field': [-26, -13, 0, 1], 'lmfdb_label': '21294.br2', 'torsion': [2]}
  • id: 1083751
    {'degree': 6, 'field': [14, 0, 53, 0, -4, 0, 1], 'lmfdb_label': '21294.br2', 'torsion': [2, 2]}
  • id: 1083753
    {'degree': 6, 'field': [676, -338, 169, -52, 13, 0, 1], 'lmfdb_label': '21294.br2', 'torsion': [6]}
  • id: 1083752
    {'degree': 6, 'field': [729, -1647, 3694, -7, -60, -1, 1], 'lmfdb_label': '21294.br2', 'torsion': [3, 3]}
  • id: 1083754
    {'degree': 9, 'field': [-8, 20, -138, 111, -20, 69, -6, 5, 0, 1], 'lmfdb_label': '21294.br2', 'torsion': [6]}
  • id: 1083755
    {'degree': 12, 'field': [-44, 1160, -1012, 248, 227, -610, 324, 122, -140, 22, 12, -6, 1], 'lmfdb_label': '21294.br2', 'torsion': [4]}
  • id: 1083756
    {'degree': 12, 'field': [196, 0, -742, 0, 2865, 0, 240, 0, -37, 0, 4, 0, 1], 'lmfdb_label': '21294.br2', 'torsion': [2, 6]}
  • id: 1083757
    {'degree': 18, 'field': [1, -9, 54, -169, 375, -633, 726, -282, -273, 687, -516, 213, 74, -123, 93, -32, 9, 0, 1], 'lmfdb_label': '21294.br2', 'torsion': [9]}
  • id: 1083758
    {'degree': 18, 'field': [64, 160, -704, 984, 16664, 15070, 8277, -16664, -7887, 722, 4066, 352, -87, 50, -44, -12, -5, 0, 1], 'lmfdb_label': '21294.br2', 'torsion': [3, 6]}
  • id: 1083759
    {'degree': 18, 'field': [64, 576, 2832, 8160, 19212, 39588, 59393, 52860, 37860, 25396, 15909, 9504, 4658, 1272, 177, -12, -18, 0, 1], 'lmfdb_label': '21294.br2', 'torsion': [2, 6]}
• 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: 484830
    {'conductor': 21294, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '21294.br2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 484831
    {'conductor': 21294, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '21294.br2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 484832
    {'conductor': 21294, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '21294.br2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 484833
    {'conductor': 21294, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '21294.br2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1806339
    {'adelic_gens': [[165, 166, 158, 161], [4, 3, 9, 7], [163, 6, 162, 7], [1, 6, 0, 1], [1, 0, 6, 1], [127, 6, 0, 1], [3, 4, 8, 11], [85, 6, 87, 19], [90, 71, 119, 69], [73, 6, 51, 19]], 'adelic_image': '168.16.0.?', 'conductor': 21294, 'lmfdb_label': '21294.br2', 'prime': 0}
  • id: 98674
    {'conductor': 21294, 'elladic_image': '3.8.0.2', 'lmfdb_label': '21294.br2', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 21294.br does not appear in ec_padic