Elliptic curve data - 41280.j1

Formats: - HTML - YAML - JSON - 2025-10-26T20:03:15.158727

• 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': '41280i', 'Clabel': '41280i4', 'Cnumber': 4, 'abc_quality': 0.9901572900960728, 'absD': 760872960, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5160, 'ainvs': [0, -1, 0, -990721, 379885825], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 41280, 'degree': 270336, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7585259259769020194183854171', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [820480625548035842, 5805], 'lmfdb_iso': '41280.j', 'lmfdb_label': '41280.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -247680, 47361888], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '12.12.0-4.c.1.1', '24.24.0-24.y.1.10', '1720.24.0.?', '5160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 645], [3, 4, 13760], [5, 6, 8256], [43, 44, 960]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.77656742018364616441063991170', 'prec': 103}, 'szpiro_ratio': 4.989791411624847, '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, 0, 0, 1, 0, -4, 0, -2, 0, 1, 0, 6, 0, 4, 0], 'aplist': [0, -1, -1, 0, -4, -2, 6, 4, 8, -6, 0, 10, -6, 1, 8, 2, -4, 14, -4, -16, 10, 8, 16, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 41280, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '41280.j', 'trace_hash': 502193458861930064}
• 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': '0.029686827444237056582788586746', 'prec': 107}, 'conductor': 41280, 'gens': [], 'heights': [], 'lmfdb_label': '41280.j1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.78471526951076040961858263198', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5694305390215208192371652639626272870', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[575, 0, 1]], 'xcoord_integral_points': [575]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '43': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '41280.j1'}
• ec_torsion_growth •

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

  
  
  • id: 2028802
    {'degree': 2, 'field': [-1290, 0, 1], 'lmfdb_label': '41280.j1', 'torsion': [2, 2]}
  • id: 2028804
    {'degree': 2, 'field': [-430, 0, 1], 'lmfdb_label': '41280.j1', 'torsion': [4]}
  • id: 2028803
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '41280.j1', 'torsion': [4]}
  • id: 2028805
    {'degree': 4, 'field': [46225, 0, -860, 0, 1], 'lmfdb_label': '41280.j1', 'torsion': [2, 4]}
  • id: 2028809
    {'degree': 8, 'field': [-243, 0, 214, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '41280.j1', 'torsion': [6]}
  • id: 2028807
    {'degree': 8, 'field': [1322500, 0, -174992, 0, 8076, 0, -152, 0, 1], 'lmfdb_label': '41280.j1', 'torsion': [8]}
  • id: 2028806
    {'degree': 8, 'field': [1664100, 0, 0, 0, 1290, 0, 0, 0, 1], 'lmfdb_label': '41280.j1', 'torsion': [2, 4]}
  • id: 2028808
    {'degree': 8, 'field': [2556166, -176344, 371784, -8088, 9439, 294, -159, -2, 1], 'lmfdb_label': '41280.j1', 'torsion': [8]}
  • id: 2028815
    {'degree': 16, 'field': [-5112644094, 1708205328, 595537236, 254061096, 12517194, -64634604, -24741212, 7156588, 3028608, -659168, -57122, -4116, 5344, -236, -24, -8, 1], 'lmfdb_label': '41280.j1', 'torsion': [12]}
  • id: 2028814
    {'degree': 16, 'field': [36, 0, -24, 0, 4, 0, -248112, 0, 41316, 0, -1732, 0, 144, 0, -24, 0, 1], 'lmfdb_label': '41280.j1', 'torsion': [12]}
  • id: 2028811
    {'degree': 16, 'field': [151807041, 0, -949653396, 0, 958822272, 0, -242450280, 0, 24929271, 0, -1192680, 0, 27072, 0, -276, 0, 1], 'lmfdb_label': '41280.j1', 'torsion': [2, 8]}
  • id: 2028812
    {'degree': 16, 'field': [1146480841, -6541120840, 15763760688, -20466462656, 15361885422, -6362234496, 2454918676, -262142888, 35602575, 19287152, -3194852, -354168, 53022, 2744, -372, -8, 1], 'lmfdb_label': '41280.j1', 'torsion': [2, 8]}
  • id: 2028813
    {'degree': 16, 'field': [304608764056, 691922468368, 412596172776, -2572612784, -59513141696, -6269527824, 3061960448, 406685288, -62094432, -11758768, 101408, 205464, 8254, -1736, -24, -8, 1], 'lmfdb_label': '41280.j1', 'torsion': [2, 6]}
  • id: 2028810
    {'degree': 16, 'field': [2773527182881, 0, -25706975524, 0, -8363856890, 0, 33178784, 0, 10126519, 0, -5176, 0, -5150, 0, -4, 0, 1], 'lmfdb_label': '41280.j1', 'torsion': [4, 4]}
• 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: 978521
    {'conductor': 41280, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '41280.j1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 978522
    {'conductor': 41280, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '41280.j1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 978523
    {'conductor': 41280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '41280.j1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 978524
    {'conductor': 41280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '41280.j1', 'prime': 43, '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: 1939582
    {'adelic_gens': [[1939, 1936, 4538, 1941], [1, 0, 8, 1], [1, 8, 0, 1], [3448, 3, 3445, 2], [1, 4, 4, 17], [2764, 1, 1703, 6], [5153, 8, 5152, 9], [7, 6, 5154, 5155], [2068, 1, 4151, 6], [3224, 637, 4511, 4482]], 'adelic_image': '5160.48.0.?', 'conductor': 41280, 'lmfdb_label': '41280.j1', 'prime': 0}
  • id: 180834
    {'conductor': 41280, 'elladic_image': '8.12.0.12', 'lmfdb_label': '41280.j1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 41280.j does not appear in ec_padic