Elliptic curve data - 18513.g3

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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': '18513q', 'Clabel': '18513q4', 'Cnumber': 4, 'abc_quality': 1.1807067659885138, 'absD': 107864696238849, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 35904, 'ainvs': [1, -1, 1, -749, -499562], 'analytic_rank': 0, 'bad_primes': [3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 18513, 'degree': 46080, 'elladic_images': ['16.48.0.76'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3716176597918966367711614032', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [-35937, 83521], 'lmfdb_iso': '18513.g', 'lmfdb_label': '18513.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, -14], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.24.0.t.1', '16.48.0.m.2', '132.24.0.?', '136.48.1.?', '264.48.0.?', '272.192.9.?', '528.96.0.?', '544.384.21.?', '1088.768.53.?', '4488.96.1.?', '8976.384.9.?', '17952.768.21.?', '35904.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, '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': '-0.37663612094134348095743300424', 'prec': 107}, 'szpiro_ratio': 4.047012320010188, '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, 2, 0, -4, 3, 0, -2, 0, 0, 2, 4, 0, -1, 1, 0, 4, -2], 'aplist': [-1, 0, 2, -4, 0, 2, 1, 4, -4, 6, 4, -2, -6, -4, 0, -6, 12, 10, 4, 4, 6, -12, -4, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 18513, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '18513.g', 'trace_hash': 1710240776027963911}
• 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': '0.064361778759544941835021759683', 'prec': 107}, 'conductor': 18513, 'gens': [], 'heights': [], 'lmfdb_label': '18513.g3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26931201707469769833217942232', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0772480682987907933287176892983712179', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[331, -335, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 2], '3': 'a', '11': 'a', '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '18513.g3'}
• ec_torsion_growth •

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

  
  
  • id: 949455
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '18513.g3', 'torsion': [4]}
  • id: 949454
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '18513.g3', 'torsion': [2, 2]}
  • id: 949456
    {'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '18513.g3', 'torsion': [4]}
  • id: 949457
    {'degree': 4, 'field': [64, 0, 17, 0, 1], 'lmfdb_label': '18513.g3', 'torsion': [2, 4]}
  • id: 949461
    {'degree': 8, 'field': [-21, 96, 9, -402, -60, -69, 15, 0, 1], 'lmfdb_label': '18513.g3', 'torsion': [6]}
  • id: 949459
    {'degree': 8, 'field': [2446, 178, -1831, -380, 414, 60, -36, -2, 1], 'lmfdb_label': '18513.g3', 'torsion': [8]}
  • id: 949458
    {'degree': 8, 'field': [4096, 0, 0, 0, 161, 0, 0, 0, 1], 'lmfdb_label': '18513.g3', 'torsion': [4, 4]}
  • id: 949460
    {'degree': 8, 'field': [1336336, 0, 36992, 0, -1495, 0, -32, 0, 1], 'lmfdb_label': '18513.g3', 'torsion': [8]}
  • id: 949465
    {'degree': 16, 'field': [-126599, -42075, 115328, -30696, 3673, 5796, -7789, 7023, -4103, 1248, -625, 42, 16, -3, 14, 0, 1], 'lmfdb_label': '18513.g3', 'torsion': [12]}
  • id: 949464
    {'degree': 16, 'field': [441, 0, 9594, 0, 79785, 0, 150066, 0, -51648, 0, 6543, 0, 105, 0, -30, 0, 1], 'lmfdb_label': '18513.g3', 'torsion': [2, 6]}
  • id: 949466
    {'degree': 16, 'field': [1006009, 0, 2420953, 0, 504628, 0, -40694, 0, -18812, 0, -476, 0, 277, 0, 31, 0, 1], 'lmfdb_label': '18513.g3', 'torsion': [12]}
  • id: 949463
    {'degree': 16, 'field': [5982916, 0, 8988936, 0, 5513129, 0, 1857940, 0, 354432, 0, 38590, 0, 2364, 0, 76, 0, 1], 'lmfdb_label': '18513.g3', 'torsion': [2, 8]}
  • id: 949462
    {'degree': 16, 'field': [23351200, 15629120, -9312736, -11064960, 1879354, 3666196, -109374, -792892, 9617, 106876, -3410, -8676, 536, 392, -36, -8, 1], 'lmfdb_label': '18513.g3', 'torsion': [2, 8]}
• 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: 417406
    {'conductor': 18513, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '18513.g3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 417407
    {'conductor': 18513, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '18513.g3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 417408
    {'conductor': 18513, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '18513.g3', 'prime': 17, 'reduction_type': 1, '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: 1787770
    {'adelic_gens': [[9, 124, 11636, 24681], [8878, 6303, 14883, 2674], [57, 16, 29552, 34121], [35841, 64, 35840, 65], [1, 64, 0, 1], [19009, 13068, 0, 1], [1, 0, 64, 1], [27391, 17886, 19470, 15511], [23935, 0, 0, 35903], [13055, 0, 0, 35903]], 'adelic_image': '35904.1536.53.?', 'conductor': 18513, 'lmfdb_label': '18513.g3', 'prime': 0}
  • id: 86780
    {'conductor': 18513, 'elladic_image': '16.48.0.76', 'lmfdb_label': '18513.g3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 18513.g does not appear in ec_padic