Elliptic curve data - 18150.d3

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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': '18150m', 'Clabel': '18150m6', 'Cnumber': 6, 'abc_quality': 1.0522127879225598, 'absD': 249125765625000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1320, 'ainvs': [1, 1, 0, -1008900, 388890000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 18150, 'degree': 414720, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2212589875526144849119777164', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4102915888729, 9000000], 'lmfdb_iso': '18150.d', 'lmfdb_label': '18150.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -334, -2368], 'min_quad_twist_disc': -55, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.1', '24.96.1.cp.2', '40.12.0.a.1', '44.12.0-2.a.1.1', '60.96.1.h.3', '120.192.5.?', '132.96.0.?', '165.8.0.?', '264.192.1.?', '330.48.0.?', '440.24.0.?', '660.192.1.?', '1320.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21759239493637902558062626080', 'prec': 103}, 'szpiro_ratio': 5.413462459049306, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 1, 0, 1, -4, -1, 1, 0, 0, -1, 2, 4, 0, 1, 6, -1, 4, 0], 'aplist': [-1, -1, 0, -4, 0, 2, 6, 4, 0, 6, 8, -2, 6, -4, 0, 6, 0, 10, 4, 0, 2, -8, 12, 18, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 18150, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '18150.d', 'trace_hash': 809309557999357659}
• 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': '0.011766274003146422396943939898', 'prec': 107}, 'conductor': 18150, 'gens': [], 'heights': [], 'lmfdb_label': '18150.d3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.31239512085058351651710970165', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2495804834023340660684388065946464756', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-1160, 580, 1], [600, -300, 1]], 'xcoord_integral_points': [-1160, 600]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [0, 0], '5': 'a', '11': 'a'}, 'iwp0': 5, 'lmfdb_label': '18150.d3'}
• ec_torsion_growth •

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

  
  
  • id: 927145
    {'degree': 2, 'field': [-41, -1, 1], 'lmfdb_label': '18150.d3', 'torsion': [2, 6]}
  • id: 927147
    {'degree': 4, 'field': [159, 14, -13, -2, 1], 'lmfdb_label': '18150.d3', 'torsion': [2, 4]}
  • id: 927148
    {'degree': 4, 'field': [214, 14, -13, -2, 1], 'lmfdb_label': '18150.d3', 'torsion': [2, 4]}
  • id: 927146
    {'degree': 4, 'field': [676, 0, -58, 0, 1], 'lmfdb_label': '18150.d3', 'torsion': [2, 12]}
  • id: 927149
    {'degree': 6, 'field': [2876, -831, 621, -79, 45, -3, 1], 'lmfdb_label': '18150.d3', 'torsion': [2, 6]}
  • id: 927150
    {'degree': 8, 'field': [735, 420, -344, -160, 101, -28, 14, -4, 1], 'lmfdb_label': '18150.d3', 'torsion': [2, 12]}
  • id: 927151
    {'degree': 8, 'field': [1765, 250, -164, -170, 81, 2, 4, -4, 1], 'lmfdb_label': '18150.d3', 'torsion': [2, 12]}
  • id: 927152
    {'degree': 12, 'field': [7518124, -3243342, 3818349, -1204900, 742605, -176502, 72947, -12606, 3795, -440, 99, -6, 1], 'lmfdb_label': '18150.d3', 'torsion': [6, 6]}
  • id: 927153
    {'degree': 16, 'field': [4225, -28600, 86950, -138460, 131264, -97384, 75642, -47668, 27053, -13112, 6006, -2324, 812, -224, 52, -8, 1], 'lmfdb_label': '18150.d3', 'torsion': [4, 12]}
  • id: 927154
    {'degree': 16, 'field': [2793785, 1349320, -1131260, -421440, 205186, -81112, 174880, -130280, 37851, -4760, 2096, -520, 26, 0, 20, -8, 1], 'lmfdb_label': '18150.d3', 'torsion': [2, 8]}
  • id: 927156
    {'degree': 16, 'field': [6585286, -1625744, 2195202, -1417276, 1463969, -1079934, 671248, -312974, 140778, -49496, 18268, -5298, 1520, -322, 66, -8, 1], 'lmfdb_label': '18150.d3', 'torsion': [2, 8]}
  • id: 927155
    {'degree': 16, 'field': [83247376, 0, -9264768, 0, 338032, 0, -2207808, 0, 546828, 0, -58464, 0, 3388, 0, -96, 0, 1], 'lmfdb_label': '18150.d3', 'torsion': [2, 24]}
  • id: 927157
    {'degree': 18, 'field': [-1894265, -8942355, -16202115, -12494830, -6667110, -6342900, -3622826, 475464, 2365137, 50465, 36975, -19776, 9194, -2988, -870, 150, -33, -3, 1], 'lmfdb_label': '18150.d3', 'torsion': [2, 18]}
• 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: 406809
    {'conductor': 18150, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '18150.d3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 406810
    {'conductor': 18150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '18150.d3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 406811
    {'conductor': 18150, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '18150.d3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 406812
    {'conductor': 18150, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '18150.d3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1785029
    {'adelic_gens': [[661, 132, 726, 793], [1, 0, 12, 1], [9, 4, 1304, 1313], [1057, 132, 594, 727], [263, 594, 0, 1319], [1, 12, 0, 1], [1309, 12, 1308, 13], [287, 726, 814, 595], [119, 0, 0, 1319]], 'adelic_image': '1320.384.5.?', 'conductor': 18150, 'lmfdb_label': '18150.d3', 'prime': 0}
  • id: 84875
    {'conductor': 18150, 'elladic_image': '2.6.0.1', 'lmfdb_label': '18150.d3', 'modell_image': '2Cs', 'prime': 2}
  • id: 84876
    {'conductor': 18150, 'elladic_image': '3.4.0.1', 'lmfdb_label': '18150.d3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 18150.d does not appear in ec_padic