Elliptic curve data - 262080.q3

Formats: - HTML - YAML - JSON - 2025-11-02T22:16:21.699109

• 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': '262080q', 'Clabel': '262080q1', 'Cnumber': 1, 'abc_quality': 1.052714565604007, 'absD': 51295932203473525800960000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -80000722668, -8709408057888592], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 262080, 'degree': 660602880, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.8071796303108447511012548417', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [296304326013275547793071733369, 268420373544960000000], 'lmfdb_iso': '262080.q', 'lmfdb_label': '262080.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -138890144, 630009263342], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '120.12.0.?', '130.6.0.?', '168.12.0.?', '260.12.0.?', '280.12.0.?', '312.12.0.?', '728.12.0.?', '840.24.0.?', '1560.24.0.?', '2184.24.0.?', '3640.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '141.13180234389799152465688915', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 585], [3, 8, 29120], [5, 6, 52416], [7, 8, 7488], [13, 14, 20160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2181527151368719412777840411', 'prec': 100}, 'szpiro_ratio': 6.967512435879709, '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, 0, 0, -1, 0, -1, 0, 0, 0, -4, 0, 1, 0, 0, 0, 2, 0, -8, 0], 'aplist': [0, 0, -1, -1, -4, 1, 2, -8, 4, -2, 4, -2, -6, 8, -8, 6, 0, -6, -4, -8, 6, -8, 12, 2, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 262080, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '262080.q', 'trace_hash': 1696255671648259470}
• 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': '0.000066763151049489817172792415183', 'prec': 117}, 'conductor': 262080, 'gens': [[9397112503557597043272067785302183994448334446855706979225054406, 904083110072634678057860449647660813205756046745294081528842594853561232798345207361606146064384, 63081090549906139042031785209]], 'heights': [{'__RealLiteral__': 0, 'data': '141.13180234389799152465688915', 'prec': 100}], 'lmfdb_label': '262080.q3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.0089768940771527077952867816927', 'prec': 110}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0677009622352980943627005553586838071', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-163418, 0, 1]], 'xcoord_integral_points': [-163418]}
• lmfdb_label 262080.q3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11229236
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '262080.q3', 'torsion': [2, 2]}
  • id: 11229237
    {'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '262080.q3', 'torsion': [4]}
  • id: 11229238
    {'degree': 2, 'field': [78, 0, 1], 'lmfdb_label': '262080.q3', 'torsion': [4]}
  • id: 11229239
    {'degree': 4, 'field': [144, 0, 54, 0, 1], 'lmfdb_label': '262080.q3', 'torsion': [2, 4]}
  • id: 11229243
    {'degree': 8, 'field': [-62208, 0, 216, 0, -864, 0, 0, 0, 1], 'lmfdb_label': '262080.q3', 'torsion': [6]}
  • id: 11229242
    {'degree': 8, 'field': [20736, 0, 15552, 0, 2385, 0, 108, 0, 1], 'lmfdb_label': '262080.q3', 'torsion': [8]}
  • id: 11229241
    {'degree': 8, 'field': [67036, 58856, 16794, -228, 589, 234, -9, -2, 1], 'lmfdb_label': '262080.q3', 'torsion': [8]}
  • id: 11229240
    {'degree': 8, 'field': [96721, 0, -78732, 0, 5414, 0, -108, 0, 1], 'lmfdb_label': '262080.q3', 'torsion': [2, 4]}
  • id: 11229249
    {'degree': 16, 'field': [65028096, 0, 55596312576, 0, 2847124224, 0, -47557152, 0, 1300896, 0, 419448, 0, 11124, 0, 156, 0, 1], 'lmfdb_label': '262080.q3', 'torsion': [12]}
  • id: 11229244
    {'degree': 16, 'field': [199685161, -23513984, 1384448, 1208688, 6847048, -4738552, 514176, -445016, 153078, -62048, 42144, -13264, 2008, 24, 32, -8, 1], 'lmfdb_label': '262080.q3', 'torsion': [4, 4]}
  • id: 11229248
    {'degree': 16, 'field': [5435817984, 0, 2774532096, 0, 264683520, 0, -13135392, 0, -2412000, 0, 39288, 0, 2052, 0, 60, 0, 1], 'lmfdb_label': '262080.q3', 'torsion': [12]}
  • id: 11229246
    {'degree': 16, 'field': [12631094116, -2088791008, 2169679146, -168017912, 100530561, -22376244, 11655304, -3495956, 762882, 50744, 12454, -11424, 1176, 308, -24, -8, 1], 'lmfdb_label': '262080.q3', 'torsion': [2, 8]}
  • id: 11229245
    {'degree': 16, 'field': [18756303406, -32338215420, 16681582614, 523840800, -2446781197, 321199620, 55448406, 3753120, 3332013, -1156260, 111402, -26880, 2537, -420, 42, 0, 1], 'lmfdb_label': '262080.q3', 'torsion': [2, 8]}
  • id: 11229247
    {'degree': 16, 'field': [41448619264, 22431169280, -21175286248, -2146762560, 173859200, 1043351488, -288516464, -49102272, 10190425, 1332360, -210548, -28216, 2822, 840, -100, -8, 1], 'lmfdb_label': '262080.q3', '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: 6495778
    {'conductor': 262080, 'conductor_valuation': 6, 'discriminant_valuation': 42, 'j_denominator_valuation': 24, 'kodaira_symbol': -36, 'lmfdb_label': '262080.q3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6495779
    {'conductor': 262080, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '262080.q3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6495780
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '262080.q3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6495781
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '262080.q3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6495782
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '262080.q3', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 3324567
    {'adelic_gens': [[1369, 1368, 3198, 1375], [1, 0, 8, 1], [10913, 8, 10912, 9], [7279, 0, 0, 10919], [1, 8, 0, 1], [8128, 3, 2805, 7282], [1, 4, 4, 17], [6821, 6822, 2262, 4085], [7, 6, 10914, 10915], [2188, 7281, 8031, 3646], [7801, 3648, 5724, 3673]], 'adelic_image': '10920.48.0.?', 'conductor': 262080, 'lmfdb_label': '262080.q3', 'prime': 0}
  • id: 941384
    {'conductor': 262080, 'elladic_image': '4.6.0.1', 'lmfdb_label': '262080.q3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 262080.q does not appear in ec_padic