Elliptic curve data - 188760.w1

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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': '188760cx', 'Clabel': '188760cx2', 'Cnumber': 2, 'abc_quality': 1.0222790565413804, 'absD': 667310361461503157968517376000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -9043987256, -328701401859444], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 188760, 'degree': 287539200, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.5494662793667346627026076254', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2], 'jinv': [22548490527122525577915938, 183925440576065170125], 'lmfdb_iso': '188760.w', 'lmfdb_label': '188760.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -74743696, 246985407820], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '156.6.0.?', '1560.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '44.135582282386646616856815047', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.7151337274542661903725063917', 'prec': 100}, 'szpiro_ratio': 6.617399414433365, '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, 0, -1, 0, -1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 4, 0, 2, 0], 'aplist': [0, -1, -1, 2, 0, 1, 4, 2, -6, 8, 8, -2, 2, -4, -8, 6, -12, 10, -4, 0, -4, 8, -4, -14, 4], 'class_deg': 2, 'class_size': 2, 'conductor': 188760, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '188760.w', 'trace_hash': 112833533387739127}
• 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': '0.00011178506882253366251291082574', 'prec': 113}, 'conductor': 188760, 'gens': [[-1260788490332635081195, 1843584292441333865897898200829, 146984434]], 'heights': [{'__RealLiteral__': 0, 'data': '44.135582282386646616856815047', 'prec': 100}], 'lmfdb_label': '188760.w1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.015488994469869052844654615474', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8361578989633731890094873188659225615', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[-51091, 0, 1]], 'xcoord_integral_points': [-51091]}
• lmfdb_label 188760.w1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8319417
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '188760.w1', 'torsion': [2, 2]}
  • id: 8319418
    {'degree': 4, 'field': [10890, 0, -33, 0, 1], 'lmfdb_label': '188760.w1', 'torsion': [4]}
  • id: 8319421
    {'degree': 8, 'field': [-24977, 2882, -2762, -690, -42, -120, -2, -4, 1], 'lmfdb_label': '188760.w1', 'torsion': [6]}
  • id: 8319419
    {'degree': 8, 'field': [8100, 0, -54400, 0, 3290, 0, -80, 0, 1], 'lmfdb_label': '188760.w1', 'torsion': [2, 4]}
  • id: 8319420
    {'degree': 8, 'field': [16900, 0, 2340, 0, 14069, 0, 216, 0, 1], 'lmfdb_label': '188760.w1', 'torsion': [2, 4]}
  • id: 8319423
    {'degree': 16, 'field': [-1626056031, 10165456452, 275369272, 264799132, -421486928, 96688992, -7832064, -1179192, -383358, 340740, -51756, -13524, 2760, 336, -68, -8, 1], 'lmfdb_label': '188760.w1', 'torsion': [2, 6]}
  • id: 8319422
    {'degree': 16, 'field': [196561882609, 0, -13982072511, 0, 6853030558, 0, -714071673, 0, 49718610, 0, -641553, 0, 10462, 0, 9, 0, 1], 'lmfdb_label': '188760.w1', 'torsion': [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: 4673132
    {'conductor': 188760, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '188760.w1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4673133
    {'conductor': 188760, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '188760.w1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4673134
    {'conductor': 188760, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '188760.w1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4673135
    {'conductor': 188760, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '188760.w1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4673136
    {'conductor': 188760, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '188760.w1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
• ec_galrep •

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

  
  
  • id: 2876636
    {'adelic_gens': [[521, 4, 1042, 9], [314, 1, 623, 0], [1, 2, 2, 5], [2, 1, 779, 0], [1, 4, 0, 1], [1081, 4, 602, 9], [1557, 4, 1556, 5], [977, 586, 584, 975], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '1560.12.0.?', 'conductor': 188760, 'lmfdb_label': '188760.w1', 'prime': 0}
  • id: 704833
    {'conductor': 188760, 'elladic_image': '2.3.0.1', 'lmfdb_label': '188760.w1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 188760.w does not appear in ec_padic