Elliptic curve data - 143650.j2

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '143650bo', 'Clabel': '143650bo2', 'Cnumber': 2, 'abc_quality': 0.9486888728127684, 'absD': 948564504680000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 26520, 'ainvs': [1, 1, 0, 94975, -45444875], 'analytic_rank': 0, 'bad_primes': [2, 5, 13, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 143650, 'degree': 1772928, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1305983308596320523626511871', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 9, 'isogeny_degrees': [1, 3], 'jinv': [1256216039, 12577280], 'lmfdb_iso': '143650.j', 'lmfdb_label': '143650.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 22, -164], 'min_quad_twist_disc': 65, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '195.8.0.?', '680.2.0.?', '2040.8.0.?', '5304.8.0.?', '26520.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 71825], [3, 2, 4225], [5, 18, 5746], [13, 86, 850], [17, 18, 8450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.043404695911813497035527799705', 'prec': 107}, 'szpiro_ratio': 4.108492855833318, '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, -1, 1, 0, 1, 2, -1, -2, 0, 0, -1, 0, -2, 0, 1, 1, 2, 1, 0], 'aplist': [-1, -1, 0, 2, 0, 0, 1, 1, -6, -9, 1, -4, 6, -2, -9, 9, -3, -7, 14, -3, 11, 8, 0, 9, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 143650, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '143650.j', 'trace_hash': 1045927597479526175}
• 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': '0.014105412899013050098593956062', 'prec': 107}, 'conductor': 143650, 'gens': [], 'heights': [], 'lmfdb_label': '143650.j2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.13764160043654254591971576379', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.82584960261925527551829458276564280250', 'prec': 133}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [0, 1], '5': 'a', '7': [0, 0], '11': [0, 0, 0], '13': 'a', '17': [1, 0], '19': [2, 0], '23': [0, 0], '29': [0, 0], '31': [2, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '143650.j2'}
• ec_torsion_growth •

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

  
  
  • id: 6487320
    {'degree': 2, 'field': [49, -1, 1], 'lmfdb_label': '143650.j2', 'torsion': [3]}
  • id: 6487321
    {'degree': 3, 'field': [10, -6, -1, 1], 'lmfdb_label': '143650.j2', 'torsion': [2]}
  • id: 6487323
    {'degree': 6, 'field': [-40, 0, 0, -55, 0, 0, 1], 'lmfdb_label': '143650.j2', 'torsion': [3]}
  • id: 6487322
    {'degree': 6, 'field': [270, -360, 171, -20, 2, 0, 1], 'lmfdb_label': '143650.j2', 'torsion': [2, 2]}
  • id: 6487324
    {'degree': 6, 'field': [17605, 5510, 524, 24, -18, -2, 1], 'lmfdb_label': '143650.j2', 'torsion': [6]}
  • id: 6487325
    {'degree': 12, 'field': [-6729220, -16951180, -10096643, 613572, -215429, 426704, -251247, 29432, -1051, 16, 7, -4, 1], 'lmfdb_label': '143650.j2', 'torsion': [4]}
  • id: 6487326
    {'degree': 12, 'field': [82624, -28752, 40812, -25600, 16695, -5232, 2711, -906, 330, -80, 27, -6, 1], 'lmfdb_label': '143650.j2', 'torsion': [3, 3]}
  • id: 6487327
    {'degree': 12, 'field': [266326564, -115062248, 26334768, -11293244, 2075423, -378384, 140524, -7212, 1397, -148, -42, -4, 1], 'lmfdb_label': '143650.j2', 'torsion': [2, 6]}
  • id: 6487329
    {'degree': 18, 'field': [-262144000, 0, 0, 21568000, 0, 0, -1121600, 0, 0, 320075, 0, 0, 18415, 0, 0, -75, 0, 0, 1], 'lmfdb_label': '143650.j2', 'torsion': [6]}
  • id: 6487328
    {'degree': 18, 'field': [9419272498624, 18325049900640, 89199366511008, -3181892648568, -4282406433096, 1102236170130, -19598341273, -31448454513, 1705554147, -230174990, 94490007, -4636785, 496204, -70899, 9477, -1070, 21, -9, 1], 'lmfdb_label': '143650.j2', '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: 3551762
    {'conductor': 143650, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '143650.j2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3551763
    {'conductor': 143650, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '143650.j2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3551764
    {'conductor': 143650, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '143650.j2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3551765
    {'conductor': 143650, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '143650.j2', 'prime': 17, '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: 2597539
    {'adelic_gens': [[4, 3, 9, 7], [6631, 12246, 26013, 10219], [2978, 5187, 17095, 25507], [13261, 12246, 19383, 10219], [5303, 14274, 9789, 16301], [26515, 6, 26514, 7], [2039, 0, 0, 26519], [1, 6, 0, 1], [3, 4, 8, 11], [12481, 12246, 17043, 10219], [1, 0, 6, 1]], 'adelic_image': '26520.16.0.?', 'conductor': 143650, 'lmfdb_label': '143650.j2', 'prime': 0}
  • id: 554290
    {'conductor': 143650, 'elladic_image': '3.4.0.1', 'lmfdb_label': '143650.j2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 143650.j does not appear in ec_padic