Elliptic curve data - 2880.y7

Formats: - HTML - YAML - JSON - 2024-05-08T02:06:37.073757

• 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': '2880r', 'Clabel': '2880r1', 'Cnumber': 1, 'abc_quality': 1.1980768440515948, 'absD': 2866544640, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, 0, 0, -12, -2576], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 2880, 'degree': 1024, 'elladic_images': ['32.96.0.83'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49360216253118371296264218202', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-1, 15], 'lmfdb_iso': '2880.y', 'lmfdb_label': '2880.y7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 0, 0], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.3', '16.48.0-16.g.1.4', '24.48.0-24.bz.1.13', '30.6.0.a.1', '32.96.0-32.e.1.3', '40.48.0-40.cb.2.11', '48.96.0-48.bv.1.13', '60.12.0.g.1', '80.192.2.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3245490881001699152118928576', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0954247526427890968608286186', 'prec': 103}, 'szpiro_ratio': 3.6696961235977814, '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, -2, 0, -4, 0], 'aplist': [0, 0, 1, 0, -4, 2, -2, -4, 0, -2, 0, 10, -10, -4, -8, -10, -4, 2, -12, 8, 10, 0, 12, 6, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 2880, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '2880.y', 'trace_hash': 950788514021811556}
• 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': '0.37261695210292151696112379702', 'prec': 103}, 'conductor': 2880, 'gens': [[20, 72, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3245490881001699152118928576', 'prec': 100}], 'lmfdb_label': '2880.y7', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.65166315835153850467767158619', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4526393685720278123459262176267014420', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[14, 0, 1]], 'xcoord_integral_points': [14, 20, 110]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [3, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2880.y7'}
• ec_torsion_growth •

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

  
  
  • id: 149811
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [4]}
  • id: 149810
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '2880.y7', 'torsion': [2, 2]}
  • id: 149812
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [4]}
  • id: 149814
    {'degree': 4, 'field': [4, 0, 2, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [8]}
  • id: 149813
    {'degree': 4, 'field': [16, 0, -2, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [2, 4]}
  • id: 149815
    {'degree': 4, 'field': [55, -10, 11, -2, 1], 'lmfdb_label': '2880.y7', 'torsion': [8]}
  • id: 149821
    {'degree': 8, 'field': [-432, 0, 0, 0, 72, 0, 14, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [6]}
  • id: 149817
    {'degree': 8, 'field': [1, 0, -4, 0, -9, 0, -4, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [8]}
  • id: 149818
    {'degree': 8, 'field': [16, 0, 24, 0, 32, 0, 6, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [2, 8]}
  • id: 149820
    {'degree': 8, 'field': [16, 0, 64, 0, 56, 0, 14, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [16]}
  • id: 149816
    {'degree': 8, 'field': [256, 0, 136, 0, 81, 0, 16, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [2, 4]}
  • id: 149819
    {'degree': 8, 'field': [1296, 0, -216, 0, 36, 0, -6, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [16]}
  • id: 149824
    {'degree': 16, 'field': [-15, 240, -1470, 4440, -7155, 6660, -4410, 2580, -1049, 172, -32, 4, 55, -56, 28, -8, 1], 'lmfdb_label': '2880.y7', 'torsion': [16]}
  • id: 149825
    {'degree': 16, 'field': [1, 0, -4, 0, 19, 0, -52, 0, 73, 0, -52, 0, 19, 0, -4, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [16]}
  • id: 149823
    {'degree': 16, 'field': [225, 0, 900, 0, 870, 0, 660, 0, 451, 0, 196, 0, 66, 0, 16, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [2, 8]}
  • id: 149826
    {'degree': 16, 'field': [256, 0, -128, 0, 0, 0, 32, 0, -16, 0, 8, 0, 0, 0, -2, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [2, 16]}
  • id: 149822
    {'degree': 16, 'field': [256, 0, 0, 0, 16, 0, 0, 0, 216, 0, 0, 0, 1, 0, 0, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [4, 4]}
  • id: 149827
    {'degree': 16, 'field': [256, 0, 1408, 0, 2048, 0, 736, 0, -80, 0, -64, 0, 8, 0, 8, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [32]}
  • id: 149829
    {'degree': 16, 'field': [2304, 0, -10240, 0, 15232, 0, -8544, 0, 1040, 0, 184, 0, -60, 0, 2, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [12]}
  • id: 149830
    {'degree': 16, 'field': [2304, 0, 26496, 0, -4608, 0, 3552, 0, -1200, 0, 168, 0, 28, 0, 4, 0, 1], 'lmfdb_label': '2880.y7', 'torsion': [12]}
  • id: 149828
    {'degree': 16, 'field': [6400, 0, 10240, 0, 7936, 0, -8896, 0, 1760, 0, -160, 0, 100, 0, 4, 0, 1], 'lmfdb_label': '2880.y7', '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: 51279
    {'conductor': 2880, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '2880.y7', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 51280
    {'conductor': 2880, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '2880.y7', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 51281
    {'conductor': 2880, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2880.y7', 'prime': 5, '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: 1682839
    {'adelic_gens': [[297, 478, 326, 17], [449, 32, 448, 33], [1, 0, 32, 1], [128, 451, 373, 318], [23, 18, 318, 395], [5, 28, 68, 381], [214, 3, 365, 268], [1, 32, 0, 1], [1, 32, 90, 31]], 'adelic_image': '480.768.13.?', 'conductor': 2880, 'lmfdb_label': '2880.y7', 'prime': 0}
  • id: 14525
    {'conductor': 2880, 'elladic_image': '32.96.0.83', 'lmfdb_label': '2880.y7', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 92646
    {'lmfdb_iso': '2880.y', 'p': 11, 'prec': 20, 'unit': 26445994331136664634, 'val': 1}
  • id: 92652
    {'lmfdb_iso': '2880.y', 'p': 13, 'prec': 20, 'unit': 282673134574380944778, 'val': 1}
  • id: 92654
    {'lmfdb_iso': '2880.y', 'p': 17, 'prec': 20, 'unit': 195624716209877277778212, 'val': 1}
  • id: 92655
    {'lmfdb_iso': '2880.y', 'p': 19, 'prec': 20, 'unit': 55896391741427728739058, 'val': 2}
  • id: 92651
    {'lmfdb_iso': '2880.y', 'p': 29, 'prec': 20, 'unit': 1560400036264906479118902914, 'val': 1}
  • id: 92647
    {'lmfdb_iso': '2880.y', 'p': 37, 'prec': 20, 'unit': 449437668443131800752433700033, 'val': 1}
  • id: 92649
    {'lmfdb_iso': '2880.y', 'p': 41, 'prec': 20, 'unit': 3002947798572829923103869914957, 'val': 1}
  • id: 92650
    {'lmfdb_iso': '2880.y', 'p': 43, 'prec': 20, 'unit': 9778867401317178782592664329501, 'val': 1}
  • id: 92653
    {'lmfdb_iso': '2880.y', 'p': 47, 'prec': 20, 'unit': 44273451941904801649276558325913, 'val': 1}
  • id: 92656
    {'lmfdb_iso': '2880.y', 'p': 53, 'prec': 20, 'unit': 118414918631326429865831485035091, 'val': 1}
  • id: 92660
    {'lmfdb_iso': '2880.y', 'p': 59, 'prec': 20, 'unit': 4081639455160047118312628959741711, 'val': 1}
  • id: 92661
    {'lmfdb_iso': '2880.y', 'p': 61, 'prec': 20, 'unit': 1876623758706441933718986821756874, 'val': 1}
  • id: 92645
    {'lmfdb_iso': '2880.y', 'p': 67, 'prec': 20, 'unit': 7503147126504697630873571100570863, 'val': 1}
  • id: 92648
    {'lmfdb_iso': '2880.y', 'p': 71, 'prec': 20, 'unit': 23139538460673563356704045062552265, 'val': 1}
  • id: 92657
    {'lmfdb_iso': '2880.y', 'p': 73, 'prec': 20, 'unit': 19608127028691217945284622861248039, 'val': 1}
  • id: 92658
    {'lmfdb_iso': '2880.y', 'p': 83, 'prec': 20, 'unit': 921451446474506161076115687808889500, 'val': 1}
  • id: 92659
    {'lmfdb_iso': '2880.y', 'p': 89, 'prec': 20, 'unit': 9776133519065647437964955093499955266, 'val': 1}
  • id: 92644
    {'lmfdb_iso': '2880.y', 'p': 97, 'prec': 20, 'unit': 55104323577837202794508573774072838121, 'val': 1}