Elliptic curve data - 35280.p1

Formats: - HTML - YAML - JSON - 2024-05-05T18:06:26.149315

• 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': '35280em', 'Clabel': '35280em4', 'Cnumber': 4, 'abc_quality': 0.9849151554257001, 'absD': 1991859839262720, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -2635563, -1646864422], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 35280, 'degree': 589824, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2289915475031532512365171931', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [5763259856089, 5670], 'lmfdb_iso': '35280.p', 'lmfdb_label': '35280.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -373, 2623], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '40.12.0-4.c.1.6', '56.12.0-4.c.1.5', '60.12.0-4.c.1.2', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '17.410545440720741542332272649', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.013583148081496443568986081456', 'prec': 107}, 'szpiro_ratio': 5.344956828606443, '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, -4, 0, 2, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, -1, 0, -4, 2, -6, 0, -8, -10, -8, 2, -2, -8, -4, -10, -4, 6, 0, -12, 6, 8, 4, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 35280, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '35280.p', 'trace_hash': 467561348414705841}
• 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': '0.011585707008842697220413793252', 'prec': 107}, 'conductor': 35280, 'gens': [[-937, 34, 1], [1978, 29646, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.4498097388086514589420505929', 'prec': 100}, {'__RealLiteral__': 0, 'data': '5.7805014890214402523711435947', 'prec': 100}], 'lmfdb_label': '35280.p1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.11848987186277878311126673716', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.2518931933283520840949865577079305963', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-938, 0, 1]], 'xcoord_integral_points': [-938, -937, 1978, 3031, 4991]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': 'a', '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '35280.p1'}
• ec_torsion_growth •

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

  
  
  • id: 1751072
    {'degree': 2, 'field': [-70, 0, 1], 'lmfdb_label': '35280.p1', 'torsion': [2, 2]}
  • id: 1751074
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '35280.p1', 'torsion': [4]}
  • id: 1751073
    {'degree': 2, 'field': [42, 0, 1], 'lmfdb_label': '35280.p1', 'torsion': [4]}
  • id: 1751075
    {'degree': 4, 'field': [784, 0, -14, 0, 1], 'lmfdb_label': '35280.p1', 'torsion': [2, 4]}
  • id: 1751079
    {'degree': 8, 'field': [-28812, 0, 3885, 0, 63, 0, 7, 0, 1], 'lmfdb_label': '35280.p1', 'torsion': [6]}
  • id: 1751078
    {'degree': 8, 'field': [2116, -8292, 9856, -3206, 1799, -238, 84, -4, 1], 'lmfdb_label': '35280.p1', 'torsion': [8]}
  • id: 1751076
    {'degree': 8, 'field': [3025, 0, -63900, 0, 790, 0, -60, 0, 1], 'lmfdb_label': '35280.p1', 'torsion': [2, 4]}
  • id: 1751077
    {'degree': 8, 'field': [3600, 0, 480, 0, 64, 0, -8, 0, 1], 'lmfdb_label': '35280.p1', 'torsion': [8]}
  • id: 1751082
    {'degree': 16, 'field': [98106, -606792, 1576468, -2239208, 1922218, -1115072, 635944, -249224, 92283, -22632, 7536, -2120, 778, -224, 52, -8, 1], 'lmfdb_label': '35280.p1', 'torsion': [2, 8]}
  • id: 1751080
    {'degree': 16, 'field': [40271716, 0, 40821872, 0, 13071188, 0, 1140384, 0, -48115, 0, -756, 0, 638, 0, -28, 0, 1], 'lmfdb_label': '35280.p1', 'torsion': [4, 4]}
  • id: 1751085
    {'degree': 16, 'field': [151033500, -129491100, 41284890, 9366900, -207264, -2671578, 1316356, 103840, -84015, -2478, 14064, -2268, -300, 60, 36, -8, 1], 'lmfdb_label': '35280.p1', 'torsion': [12]}
  • id: 1751081
    {'degree': 16, 'field': [255232576, 0, 18318704, 0, 9163217, 0, 608202, 0, 119315, 0, 8148, 0, 707, 0, 26, 0, 1], 'lmfdb_label': '35280.p1', 'torsion': [2, 8]}
  • id: 1751084
    {'degree': 16, 'field': [288422289, 0, -63445356, 0, 23977620, 0, 9916668, 0, 1066230, 0, 64188, 0, 3060, 0, 84, 0, 1], 'lmfdb_label': '35280.p1', 'torsion': [12]}
  • id: 1751083
    {'degree': 16, 'field': [1056250000, 0, 1314432000, 0, 632562400, 0, -43908800, 0, 4278600, 0, -162560, 0, 8185, 0, -180, 0, 1], 'lmfdb_label': '35280.p1', '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: 829842
    {'conductor': 35280, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '35280.p1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 829843
    {'conductor': 35280, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '35280.p1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 829844
    {'conductor': 35280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35280.p1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 829845
    {'conductor': 35280, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '35280.p1', '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: 1899979
    {'adelic_gens': [[176, 3, 5, 2], [833, 8, 832, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [528, 113, 307, 294], [592, 837, 475, 838], [559, 832, 556, 807], [104, 517, 101, 72], [7, 6, 834, 835]], 'adelic_image': '840.48.0.?', 'conductor': 35280, 'lmfdb_label': '35280.p1', 'prime': 0}
  • id: 156855
    {'conductor': 35280, 'elladic_image': '4.6.0.1', 'lmfdb_label': '35280.p1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1730657
    {'lmfdb_iso': '35280.p', 'p': 11, 'prec': 20, 'unit': 9636243665577688074, 'val': 2}
  • id: 1730663
    {'lmfdb_iso': '35280.p', 'p': 13, 'prec': 20, 'unit': 929188140045906166806, 'val': 2}
  • id: 1730665
    {'lmfdb_iso': '35280.p', 'p': 17, 'prec': 20, 'unit': 194378291353107530327939, 'val': 2}
  • id: 1730670
    {'lmfdb_iso': '35280.p', 'p': 23, 'prec': 20, 'unit': 2208657353915911230412536, 'val': 2}
  • id: 1730662
    {'lmfdb_iso': '35280.p', 'p': 29, 'prec': 20, 'unit': 5472480024832556715747614769, 'val': 2}
  • id: 1730674
    {'lmfdb_iso': '35280.p', 'p': 31, 'prec': 20, 'unit': 19557305512365721917268993932, 'val': 2}
  • id: 1730658
    {'lmfdb_iso': '35280.p', 'p': 37, 'prec': 20, 'unit': 359542288264407564795271679933, 'val': 2}
  • id: 1730660
    {'lmfdb_iso': '35280.p', 'p': 41, 'prec': 20, 'unit': 2504557796531959638698031278093, 'val': 2}
  • id: 1730661
    {'lmfdb_iso': '35280.p', 'p': 43, 'prec': 20, 'unit': 10347036494522329259458363646986, 'val': 2}
  • id: 1730672
    {'lmfdb_iso': '35280.p', 'p': 47, 'prec': 20, 'unit': 29403473731613888078472113019488, 'val': 2}
  • id: 1730667
    {'lmfdb_iso': '35280.p', 'p': 53, 'prec': 20, 'unit': 445143808149755845051362445771618, 'val': 2}
  • id: 1730668
    {'lmfdb_iso': '35280.p', 'p': 59, 'prec': 20, 'unit': 486669011156006691193731333751523, 'val': 2}
  • id: 1730673
    {'lmfdb_iso': '35280.p', 'p': 61, 'prec': 20, 'unit': 4419762699423671418618154905885218, 'val': 2}
  • id: 1730659
    {'lmfdb_iso': '35280.p', 'p': 71, 'prec': 20, 'unit': 30329921526007043635549092756371655, 'val': 2}
  • id: 1730669
    {'lmfdb_iso': '35280.p', 'p': 73, 'prec': 20, 'unit': 74850740083270312439724544087895865, 'val': 2}
  • id: 1730664
    {'lmfdb_iso': '35280.p', 'p': 79, 'prec': 20, 'unit': 685762306620631318966923045526014817, 'val': 2}
  • id: 1730666
    {'lmfdb_iso': '35280.p', 'p': 83, 'prec': 20, 'unit': 1639696082352810604165008134193448412, 'val': 2}
  • id: 1730671
    {'lmfdb_iso': '35280.p', 'p': 89, 'prec': 20, 'unit': 7911419905213419040396873015605151332, 'val': 2}
  • id: 1730656
    {'lmfdb_iso': '35280.p', 'p': 97, 'prec': 20, 'unit': 26675980125302012964619206478627806907, 'val': 2}