Elliptic curve data - 35280.ek5

Formats: - HTML - YAML - JSON - 2026-02-11T06:30:03.079646

• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '35280fe', 'Clabel': '35280fe3', 'Cnumber': 3, 'abc_quality': 1.0154697965758581, 'absD': 30323616212717792133120, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 0, 0, -10390107, 9796828426], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 35280, 'degree': 2654208, 'elladic_images': ['4.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0245262251721601789270551951', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 2, 'iso_nlabel': 114, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [353108405631241, 86318776320], 'lmfdb_iso': '35280.ek', 'lmfdb_label': '35280.ek5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1473, -16652], 'min_quad_twist_disc': -84, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.2', '6.12.0.a.1', '12.48.0-12.g.1.7', '24.96.0-24.bt.2.5', '40.24.0-40.ba.1.5', '60.96.0-60.c.1.6', '84.96.0.?', '120.192.1.?', '168.192.1.?', '210.24.0.?', '420.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.403926381735279054932949090', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2205], [3, 8, 3920], [5, 6, 7056], [7, 32, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80911782575050337125952408346', 'prec': 103}, 'szpiro_ratio': 5.737970269691103, '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, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -6, 0, 8, 0], 'aplist': [0, 0, 1, 0, 0, -2, -6, 8, 0, -6, -4, -10, -6, 4, 0, 6, 12, 10, 4, 12, 10, -8, -12, -6, 10], 'class_deg': 12, 'class_size': 8, 'conductor': 35280, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '35280.ek', 'trace_hash': 856910017459532638}
• 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': '0.0023600972566606435550016562802', 'prec': 110}, 'conductor': 35280, 'gens': [[2529065, 20565023787, 68]], 'heights': [{'__RealLiteral__': 0, 'data': '13.403926381735279054932949090', 'prec': 100}], 'lmfdb_label': '35280.ek5', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11029826184752047482435090562', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9137191273501019746710210201348922781', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-3619, 0, 1]], 'xcoord_integral_points': [-3619]}
• ec_iwasawa •

  Column	Type
  conductor	integer
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'conductor': 35280, 'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': 'a', '11': [3, 1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '35280.ek5'}
• ec_torsion_growth •

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

  
  
  • id: 1751397
    {'conductor': 35280, 'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '35280.ek5', 'torsion': [2, 2]}
  • id: 1751400
    {'conductor': 35280, 'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [6]}
  • id: 1751399
    {'conductor': 35280, 'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [4]}
  • id: 1751398
    {'conductor': 35280, 'degree': 2, 'field': [105, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [4]}
  • id: 1751401
    {'conductor': 35280, 'degree': 4, 'field': [-945, 0, 0, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [2, 4]}
  • id: 1751403
    {'conductor': 35280, 'degree': 4, 'field': [4, 0, -11, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [2, 6]}
  • id: 1751405
    {'conductor': 35280, 'degree': 4, 'field': [4, 0, -3, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [12]}
  • id: 1751404
    {'conductor': 35280, 'degree': 4, 'field': [114, 6, -5, -2, 1], 'lmfdb_label': '35280.ek5', 'torsion': [12]}
  • id: 1751402
    {'conductor': 35280, 'degree': 4, 'field': [676, 0, 53, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [2, 4]}
  • id: 1751406
    {'conductor': 35280, 'degree': 6, 'field': [9486, 1890, 1323, -30, 63, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [6]}
  • id: 1751409
    {'conductor': 35280, 'degree': 8, 'field': [16, 0, 172, 0, 129, 0, 22, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [8]}
  • id: 1751408
    {'conductor': 35280, 'degree': 8, 'field': [25, 100, 215, 240, 116, -18, -1, -2, 1], 'lmfdb_label': '35280.ek5', 'torsion': [8]}
  • id: 1751410
    {'conductor': 35280, 'degree': 8, 'field': [756, -6048, 7560, -1428, 109, 178, -30, -2, 1], 'lmfdb_label': '35280.ek5', 'torsion': [2, 12]}
  • id: 1751411
    {'conductor': 35280, 'degree': 8, 'field': [904, 288, -218, -134, 53, 14, 0, -4, 1], 'lmfdb_label': '35280.ek5', 'torsion': [2, 12]}
  • id: 1751407
    {'conductor': 35280, 'degree': 8, 'field': [55696, 472, 2, -950, 481, -10, 8, -4, 1], 'lmfdb_label': '35280.ek5', 'torsion': [4, 4]}
  • id: 1751412
    {'conductor': 35280, 'degree': 12, 'field': [13924, -74340, 414246, 99690, 231, 30870, 3751, 0, 294, -60, 21, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [3, 6]}
  • id: 1751415
    {'conductor': 35280, 'degree': 12, 'field': [180100, 382500, 271050, 45570, -11325, 7110, 4331, 0, 438, -60, 33, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [12]}
  • id: 1751413
    {'conductor': 35280, 'degree': 12, 'field': [408646, 460530, 232059, -4530, -17445, -3690, 4795, 0, 555, -60, 39, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [2, 6]}
  • id: 1751414
    {'conductor': 35280, 'degree': 12, 'field': [26563636, -339564, 540234, -411610, 231495, -30864, 10331, -6, -30, 10, 9, -6, 1], 'lmfdb_label': '35280.ek5', 'torsion': [12]}
  • id: 1751418
    {'conductor': 35280, 'degree': 16, 'field': [16, 0, 7848, 0, 23977, 0, 26508, 0, 13548, 0, 3594, 0, 508, 0, 36, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [2, 8]}
  • id: 1751421
    {'conductor': 35280, 'degree': 16, 'field': [256, 0, 832, 0, 1984, 0, 1924, 0, 1333, 0, 481, 0, 124, 0, 13, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [24]}
  • id: 1751420
    {'conductor': 35280, 'degree': 16, 'field': [900, -2700, 4350, -3750, 1705, 740, -610, -1620, 2946, -1310, -58, -20, 134, -20, -12, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [24]}
  • id: 1751417
    {'conductor': 35280, 'degree': 16, 'field': [6400, -35200, 96800, -135600, 97540, -4820, -12270, 12170, -4419, -478, 432, -170, 31, 0, 8, -4, 1], 'lmfdb_label': '35280.ek5', 'torsion': [2, 8]}
  • id: 1751419
    {'conductor': 35280, 'degree': 16, 'field': [34596, -185256, 496008, -985608, 1006053, -80538, 46866, -39954, -6677, -6772, 1124, 284, 523, -74, 2, -2, 1], 'lmfdb_label': '35280.ek5', 'torsion': [4, 12]}
  • id: 1751416
    {'conductor': 35280, 'degree': 16, 'field': [21902400, 0, -830120400, 0, -145657575, 0, 1228500, 0, 853335, 0, -12600, 0, -2625, 0, -60, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [2, 8]}
  • id: 1751422
    {'conductor': 35280, 'degree': 18, 'field': [41904416, 304897536, 288026208, -25917624, 111716712, -30488688, 38085717, -1774008, -155574, -301896, -410733, -63864, -45672, -4248, -297, -72, 54, 0, 1], 'lmfdb_label': '35280.ek5', 'torsion': [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: 829978
    {'conductor': 35280, 'conductor_valuation': 4, 'discriminant_valuation': 36, 'j_denominator_valuation': 24, 'kodaira_symbol': -32, 'lmfdb_label': '35280.ek5', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 829979
    {'conductor': 35280, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '35280.ek5', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 829980
    {'conductor': 35280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35280.ek5', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 829981
    {'conductor': 35280, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '35280.ek5', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1899861
    {'adelic_gens': [[15, 106, 374, 11], [352, 21, 555, 466], [1, 12, 12, 145], [344, 837, 579, 86], [264, 121, 535, 294], [817, 24, 816, 25], [623, 816, 726, 329], [1, 24, 0, 1], [681, 808, 836, 509], [1, 0, 24, 1]], 'adelic_image': '840.384.5.?', 'conductor': 35280, 'lmfdb_label': '35280.ek5', 'prime': 0}
  • id: 156726
    {'conductor': 35280, 'elladic_image': '4.12.0.8', 'lmfdb_label': '35280.ek5', 'modell_image': '2B', 'prime': 2}
  • id: 156727
    {'conductor': 35280, 'elladic_image': '3.4.0.1', 'lmfdb_label': '35280.ek5', 'modell_image': '3B', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 1730683
    {'lmfdb_iso': '35280.ek', 'p': 13, 'prec': 20, 'unit': 29209648451233204373, 'val': 2}
  • id: 1730685
    {'lmfdb_iso': '35280.ek', 'p': 17, 'prec': 20, 'unit': 101444445190282395105828, 'val': 1}
  • id: 1730675
    {'lmfdb_iso': '35280.ek', 'p': 19, 'prec': 20, 'unit': 200573666156947744923178, 'val': 1}
  • id: 1730682
    {'lmfdb_iso': '35280.ek', 'p': 29, 'prec': 20, 'unit': 1116357031931348767238784404, 'val': 1}
  • id: 1730692
    {'lmfdb_iso': '35280.ek', 'p': 31, 'prec': 20, 'unit': 3096062789510279760665412342, 'val': 1}
  • id: 1730678
    {'lmfdb_iso': '35280.ek', 'p': 37, 'prec': 20, 'unit': 231338467036052070381358938454, 'val': 1}
  • id: 1730680
    {'lmfdb_iso': '35280.ek', 'p': 41, 'prec': 20, 'unit': 3754680915965943498810024560835, 'val': 1}
  • id: 1730681
    {'lmfdb_iso': '35280.ek', 'p': 43, 'prec': 20, 'unit': 7139384496141638992460545727637, 'val': 1}
  • id: 1730687
    {'lmfdb_iso': '35280.ek', 'p': 53, 'prec': 20, 'unit': 117990820105264846237459937593485, 'val': 1}
  • id: 1730690
    {'lmfdb_iso': '35280.ek', 'p': 59, 'prec': 20, 'unit': 3322971711790032299491282706901541, 'val': 1}
  • id: 1730691
    {'lmfdb_iso': '35280.ek', 'p': 61, 'prec': 20, 'unit': 362368027983416689545539241911053, 'val': 1}
  • id: 1730677
    {'lmfdb_iso': '35280.ek', 'p': 67, 'prec': 20, 'unit': 2354699147793774361780552970390375, 'val': 1}
  • id: 1730679
    {'lmfdb_iso': '35280.ek', 'p': 71, 'prec': 20, 'unit': 1614711711624858347160683675341825, 'val': 1}
  • id: 1730688
    {'lmfdb_iso': '35280.ek', 'p': 73, 'prec': 20, 'unit': 53200390909876529103314390140163946, 'val': 1}
  • id: 1730684
    {'lmfdb_iso': '35280.ek', 'p': 79, 'prec': 20, 'unit': 1021056016405516736428300257228813323, 'val': 1}
  • id: 1730686
    {'lmfdb_iso': '35280.ek', 'p': 83, 'prec': 20, 'unit': 302013655638426482180401010074336824, 'val': 1}
  • id: 1730689
    {'lmfdb_iso': '35280.ek', 'p': 89, 'prec': 20, 'unit': 6148466066285190454917683370542352908, 'val': 1}
  • id: 1730676
    {'lmfdb_iso': '35280.ek', 'p': 97, 'prec': 20, 'unit': 24603272397777561116254840861067014955, 'val': 1}