Elliptic curve data - 101150.v1

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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': '101150p', 'Clabel': '101150p1', 'Cnumber': 1, 'abc_quality': 1.0498004125880718, 'absD': 1138917965877188000000, 'adelic_genus': 9, 'adelic_index': 192, 'adelic_level': 1904, 'ainvs': [1, -1, 0, -5488742, 4676916916], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 101150, 'degree': 5013504, 'elladic_images': ['16.48.1.35'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7917896070941032275735285714', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [9869198625, 614656], 'lmfdb_iso': '101150.v', 'lmfdb_label': '101150.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -760, 7803], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.f.1', '8.24.0.bt.1', '16.48.1.cf.1', '34.6.0.a.1', '56.48.1.kd.1', '68.24.0.h.1', '112.96.3.?', '136.48.1.?', '272.96.3.?', '952.96.3.?', '1904.192.9.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13783935716510901991400205862', 'prec': 107}, 'szpiro_ratio': 5.047415462522936, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [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, 0, 0, 1, -1, -3, 0, 0, 0, -2, -1, 0, 1, 0, 3, -4, 0], 'aplist': [-1, 0, 0, 1, 0, -2, 0, -4, -8, 8, 8, 8, 8, -4, 8, -10, 12, 0, 4, -8, -8, 8, -4, 6, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 101150, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '101150.v', 'trace_hash': 1883586283364862370}
• 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': '0.0037590868346994393347846671666', 'prec': 110}, 'conductor': 101150, 'gens': [], 'heights': [], 'lmfdb_label': '101150.v1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.15185184224405912828413881669', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2148147379524730262731105334873260285', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[1084, -542, 1]], 'xcoord_integral_points': [1084]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 0], '5': 'a', '7': [1, 0], '17': 'a'}, 'iwp0': 3, 'lmfdb_label': '101150.v1'}
• ec_torsion_growth •

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

  
  
  • id: 4694196
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '101150.v1', 'torsion': [2, 2]}
  • id: 4694198
    {'degree': 4, 'field': [-425, 0, 0, 0, 1], 'lmfdb_label': '101150.v1', 'torsion': [2, 4]}
  • id: 4694197
    {'degree': 4, 'field': [84, 76, 10, -2, 1], 'lmfdb_label': '101150.v1', 'torsion': [4]}
  • id: 4694200
    {'degree': 8, 'field': [-497280, 142800, -45276, 37332, -1236, -204, -6, 0, 1], 'lmfdb_label': '101150.v1', 'torsion': [6]}
  • id: 4694199
    {'degree': 8, 'field': [441, 798, 722, 232, -17, -48, 2, -2, 1], 'lmfdb_label': '101150.v1', 'torsion': [4, 4]}
  • id: 4694203
    {'degree': 16, 'field': [-576551, -1586750, 2353282, 577834, -387148, -141692, -145644, 43334, 4421, -1116, -276, -154, 356, 18, -22, -4, 1], 'lmfdb_label': '101150.v1', 'torsion': [2, 8]}
  • id: 4694201
    {'degree': 16, 'field': [94689, -214812, 424998, -420780, 218948, -31852, 48262, -36388, 15989, -7308, 4194, -1532, 316, -56, 28, -8, 1], 'lmfdb_label': '101150.v1', 'torsion': [8]}
  • id: 4694202
    {'degree': 16, 'field': [306124184, -10290292, -127783138, -4636356, 28116282, -257666, -3091669, 61294, 195116, 17136, -12771, -1876, 687, 70, -12, -6, 1], 'lmfdb_label': '101150.v1', 'torsion': [2, 8]}
  • id: 4694204
    {'degree': 16, 'field': [2478446656, 0, 337282631, 0, 99189034, 0, 11589809, 0, 1335979, 0, -52459, 0, -3041, 0, 14, 0, 1], 'lmfdb_label': '101150.v1', '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: 2483874
    {'conductor': 101150, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '101150.v1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2483875
    {'conductor': 101150, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '101150.v1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2483876
    {'conductor': 101150, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '101150.v1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2483877
    {'conductor': 101150, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '101150.v1', 'prime': 17, '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: 2328881
    {'adelic_gens': [[1, 16, 8, 1557], [5, 16, 64, 205], [1361, 4, 1100, 49], [1, 16, 0, 1], [11, 16, 1840, 1811], [1, 8, 8, 65], [1889, 16, 1888, 17], [1, 956, 12, 287], [1, 0, 16, 1], [1236, 5, 819, 44]], 'adelic_image': '1904.192.9.?', 'conductor': 101150, 'lmfdb_label': '101150.v1', 'prime': 0}
  • id: 406256
    {'conductor': 101150, 'elladic_image': '16.48.1.35', 'lmfdb_label': '101150.v1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 101150.v does not appear in ec_padic