Elliptic curve data - 14896.a2

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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': '14896bg', 'Clabel': '14896bg2', 'Cnumber': 2, 'abc_quality': 1.0331037033479094, 'absD': 3305285595136, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 14364, 'ainvs': [0, 1, 0, -7317, -258749], 'analytic_rank': 0, 'bad_primes': [2, 7, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 14896, 'degree': 27216, 'elladic_images': ['9.36.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1502352677448649197923807583', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-89915392, 6859], 'lmfdb_iso': '14896.a', 'lmfdb_label': '14896.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -9, -15], 'min_quad_twist_disc': 28, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '9.36.0.b.1', '38.2.0.a.1', '84.24.0.?', '114.24.1.?', '171.108.4.?', '252.72.0.?', '342.216.13.?', '513.324.16.?', '1026.648.43.?', '1596.48.1.?', '4788.432.13.?', '14364.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51586698734273704217752773488', 'prec': 107}, 'szpiro_ratio': 3.9995877568542184, '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, 0, -2, 0, -3, 0, 0, 0, 1, 0, -3, 0, 4, 0, 6, 0, 3, 0, 1, 0], 'aplist': [0, -2, -3, 0, -3, 4, 3, 1, 0, 6, -4, 2, 6, 1, -3, 12, -6, 1, 4, -6, 7, -8, 12, -12, -8], 'class_deg': 9, 'class_size': 3, 'conductor': 14896, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '14896.a', 'trace_hash': 479911850200780385}
• 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': '0.10021167947576910959872077371', 'prec': 103}, 'conductor': 14896, 'gens': [], 'heights': [], 'lmfdb_label': '14896.a2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.25697043554353832962913884785', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.77091130663061498888741654356109804784', 'prec': 133}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 1], '5': [0, 0], '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [1, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [2, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '14896.a2'}
• ec_torsion_growth •

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

  
  
  • id: 766935
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '14896.a2', 'torsion': [3]}
  • id: 766936
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '14896.a2', 'torsion': [3]}
  • id: 766937
    {'degree': 3, 'field': [-2, -2, 0, 1], 'lmfdb_label': '14896.a2', 'torsion': [2]}
  • id: 766938
    {'degree': 4, 'field': [49, 0, 7, 0, 1], 'lmfdb_label': '14896.a2', 'torsion': [3, 3]}
  • id: 766940
    {'degree': 6, 'field': [-54, 0, 48, 22, -6, -2, 1], 'lmfdb_label': '14896.a2', 'torsion': [6]}
  • id: 766939
    {'degree': 6, 'field': [1, -3, 4, -3, 4, -3, 1], 'lmfdb_label': '14896.a2', 'torsion': [2, 2]}
  • id: 766941
    {'degree': 6, 'field': [2662, 0, 440, -62, 22, -2, 1], 'lmfdb_label': '14896.a2', 'torsion': [6]}
  • id: 766942
    {'degree': 12, 'field': [-94751, 142230, -98116, 35106, -8661, 3768, -3152, 1644, -497, 58, 12, -6, 1], 'lmfdb_label': '14896.a2', 'torsion': [4]}
  • id: 766943
    {'degree': 12, 'field': [2916, 0, 2592, 2376, 1980, 1164, 664, 60, 32, -32, 10, -2, 1], 'lmfdb_label': '14896.a2', 'torsion': [3, 6]}
  • id: 766944
    {'degree': 12, 'field': [25281, -13674, -8743, 3636, 4860, -2210, -395, 118, 124, -20, -7, -2, 1], 'lmfdb_label': '14896.a2', 'torsion': [2, 6]}
  • id: 766945
    {'degree': 12, 'field': [3243601, 608738, 1696009, 391296, 293400, 36346, 27381, 1406, 1440, 36, 49, -2, 1], 'lmfdb_label': '14896.a2', 'torsion': [2, 6]}
  • id: 766946
    {'degree': 18, 'field': [-9885119, -9262756, 23532764, 11448170, -20413073, -6530492, 8571737, 2037280, -2093687, -381850, 322164, 44376, -31847, -3134, 1963, 122, -68, -2, 1], 'lmfdb_label': '14896.a2', 'torsion': [9]}
  • id: 766947
    {'degree': 18, 'field': [104141098125, 1110044250, -5404651875, -1327922430, 738183033, 202142850, 463899898, -1361640, -2591799, 386112, 3151995, 23772, 8908, -42, 4452, -6, 21, 0, 1], 'lmfdb_label': '14896.a2', 'torsion': [9]}
• 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: 328696
    {'conductor': 14896, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '14896.a2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 328697
    {'conductor': 14896, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '14896.a2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 328698
    {'conductor': 14896, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '14896.a2', 'prime': 19, 'reduction_type': 1, '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: 1763127
    {'adelic_gens': [[1, 0, 54, 1], [43, 30, 10074, 11371], [10259, 0, 0, 14363], [5221, 11522, 13650, 11759], [19, 54, 6948, 7651], [8189, 10206, 1260, 11843], [3212, 12285, 2037, 5480], [14321, 4074, 13524, 14279], [1, 27, 27, 730], [11339, 10206, 11340, 10205], [1, 54, 0, 1], [14311, 54, 14310, 55], [7181, 0, 0, 14363]], 'adelic_image': '14364.1296.43.?', 'conductor': 14896, 'lmfdb_label': '14896.a2', 'prime': 0}
  • id: 70507
    {'conductor': 14896, 'elladic_image': '9.36.0.2', 'lmfdb_label': '14896.a2', 'modell_image': '3Cs', 'prime': 3}
• lmfdb_iso 14896.a does not appear in ec_padic