Elliptic curve data - 19602.p2

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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': '19602l', 'Clabel': '19602l1', 'Cnumber': 1, 'abc_quality': 1.2854862760382055, 'absD': 9183772224, 'adelic_genus': 1, 'adelic_index': 128, 'adelic_level': 132, 'ainvs': [1, -1, 0, 522, -588], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 19602, 'degree': 17280, 'elladic_images': ['4.8.0.2', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.60114115045659592933718105682', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 3], 'jinv': [109503, 64], 'lmfdb_iso': '19602.p', 'lmfdb_label': '19602.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 39, -19], 'min_quad_twist_disc': 33, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.8.0.b.1', '12.64.1.b.1', '33.8.0-3.a.1.2', '44.16.0-4.b.1.1', '132.128.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9801], [3, 8, 121], [11, 62, 162]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.96401058216529257315887247780', 'prec': 107}, 'szpiro_ratio': 3.0744043902121603, '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, 4, -1, 0, -3, 0, 0, 1, -4, 0, 1, -3, 0, 4, 3], 'aplist': [-1, 0, 3, 4, 0, 1, -3, 4, 0, 9, -4, -1, 6, -8, 12, 6, 0, 1, -4, 12, -11, 16, -12, 3, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 19602, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '19602.p', 'trace_hash': 1602448177265215929}
• 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': '0.30050757993574982135330198510', 'prec': 103}, 'conductor': 19602, 'gens': [], 'heights': [], 'lmfdb_label': '19602.p2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.76514837304451551563677911553', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0605934921780620625471164621340305186', 'prec': 130}, 'tamagawa_product': 4, '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': [0, 0], '11': 'a', '13': [2, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '19602.p2'}
• ec_torsion_growth •

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

  
  
  • id: 1002720
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '19602.p2', 'torsion': [3]}
  • id: 1002721
    {'degree': 3, 'field': [-4, -3, 0, 1], 'lmfdb_label': '19602.p2', 'torsion': [2]}
  • id: 1002723
    {'degree': 6, 'field': [-439, -282, -18, -20, -18, 0, 1], 'lmfdb_label': '19602.p2', 'torsion': [4]}
  • id: 1002725
    {'degree': 6, 'field': [-24, 0, 0, -27, 0, 0, 1], 'lmfdb_label': '19602.p2', 'torsion': [3]}
  • id: 1002722
    {'degree': 6, 'field': [2, 6, 9, -2, 0, 0, 1], 'lmfdb_label': '19602.p2', 'torsion': [2, 2]}
  • id: 1002724
    {'degree': 6, 'field': [159, -117, 24, 1, 6, -3, 1], 'lmfdb_label': '19602.p2', 'torsion': [12]}
  • id: 1002726
    {'degree': 12, 'field': [3389, -2358, -99, 590, 558, -1614, 1377, -774, 330, -106, 33, -6, 1], 'lmfdb_label': '19602.p2', 'torsion': [4, 12]}
  • id: 1002727
    {'degree': 12, 'field': [6561, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '19602.p2', 'torsion': [3, 3]}
  • id: 1002729
    {'degree': 18, 'field': [-512, 0, 0, -279480, 0, 0, 40956, 0, 0, -7999, 0, 0, -939, 0, 0, -39, 0, 0, 1], 'lmfdb_label': '19602.p2', 'torsion': [6]}
  • id: 1002728
    {'degree': 18, 'field': [962571, -971487, 1426293, -958506, 789912, -499158, 350160, -194130, 106101, -50771, 24381, -10458, 4278, -1512, 504, -156, 45, -9, 1], 'lmfdb_label': '19602.p2', '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: 443963
    {'conductor': 19602, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '19602.p2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 443964
    {'conductor': 19602, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '19602.p2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 443965
    {'conductor': 19602, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '19602.p2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1795182
    {'adelic_gens': [[119, 0, 0, 131], [67, 99, 0, 1], [1, 33, 33, 34], [121, 12, 120, 121], [45, 88, 44, 89], [1, 0, 12, 1], [45, 88, 88, 45]], 'adelic_image': '132.128.1.?', 'conductor': 19602, 'lmfdb_label': '19602.p2', 'prime': 0}
  • id: 91693
    {'conductor': 19602, 'elladic_image': '4.8.0.2', 'lmfdb_label': '19602.p2', 'modell_image': '2G', 'prime': 2}
  • id: 91694
    {'conductor': 19602, 'elladic_image': '3.4.0.1', 'lmfdb_label': '19602.p2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 19602.p does not appear in ec_padic