Elliptic curve data - 2280.a1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '2280b', 'Clabel': '2280b4', 'Cnumber': 4, 'absD': 1459200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, -1, 0, -30400, 2050300], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2280, 'degree': 2048, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.95645126778008812672760591502', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [3034301922374404, 1425], 'lmfdb_iso': '2280.a', 'lmfdb_label': '2280.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -30400, 2050300], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7332059465389305659147771075', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.37882861731346703554657914714', 'prec': 103}, '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, 0, 0, -2, 0, -1, 0, -6, 0, 1, 0], 'aplist': [0, -1, 1, 0, 0, -2, -6, 1, 4, -6, 0, -2, -2, -4, -4, -6, 12, -2, 4, 0, -6, 8, -8, 14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 2280, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '2280.a', 'trace_hash': 1934615658225868539}
• 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': '0.14765120117189499944969198185', 'prec': 103}, 'conductor': 2280, 'gens': [[105, 70, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7332059465389305659147771075', 'prec': 100}], 'lmfdb_label': '2280.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.6334919832784097990408072525', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8311780190418111960876772435820041025', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[101, 0, 1]], 'xcoord_integral_points': [101, 105]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [4, 0], '7': [1, 1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [4, 0], '23': [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': '2280.a1'}
• ec_torsion_growth •

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

  
  
  • id: 115381
    {'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '2280.a1', 'torsion': [4]}
  • id: 115380
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '2280.a1', 'torsion': [2, 2]}
  • id: 115382
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '2280.a1', 'torsion': [4]}
  • id: 115384
    {'degree': 4, 'field': [-19, -38, -19, 0, 1], 'lmfdb_label': '2280.a1', 'torsion': [8]}
  • id: 115383
    {'degree': 4, 'field': [16, 0, -11, 0, 1], 'lmfdb_label': '2280.a1', 'torsion': [2, 4]}
  • id: 115388
    {'degree': 8, 'field': [-3, 0, -1208, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '2280.a1', 'torsion': [6]}
  • id: 115387
    {'degree': 8, 'field': [1, 0, -15, 0, 44, 0, -15, 0, 1], 'lmfdb_label': '2280.a1', 'torsion': [2, 8]}
  • id: 115386
    {'degree': 8, 'field': [2030625, 0, 0, 0, 2775, 0, 0, 0, 1], 'lmfdb_label': '2280.a1', 'torsion': [8]}
  • id: 115385
    {'degree': 8, 'field': [32490000, 0, 0, 0, 5700, 0, 0, 0, 1], 'lmfdb_label': '2280.a1', 'torsion': [2, 4]}
  • id: 115394
    {'degree': 16, 'field': [5776, 23104, 0, -49248, 10944, -17328, -5504, 16288, 18504, -1632, -7848, 96, -28, -28, 24, -8, 1], 'lmfdb_label': '2280.a1', 'torsion': [12]}
  • id: 115392
    {'degree': 16, 'field': [32955544, 147892664, 237486504, 218366248, 131278160, 52456272, 16989954, 4366074, 765381, 78986, 11680, 306, -126, 246, 6, -4, 1], 'lmfdb_label': '2280.a1', 'torsion': [2, 6]}
  • id: 115393
    {'degree': 16, 'field': [63011844, 0, -49056840, 0, 6487452, 0, 1882440, 0, -199920, 0, -44360, 0, -1932, 0, 0, 0, 1], 'lmfdb_label': '2280.a1', 'torsion': [12]}
  • id: 115391
    {'degree': 16, 'field': [456890625, 0, -367949250, 0, 125411400, 0, -23977620, 0, 2503611, 0, -68172, 0, -6688, 0, -38, 0, 1], 'lmfdb_label': '2280.a1', 'torsion': [16]}
  • id: 115390
    {'degree': 16, 'field': [8100000000, 0, 0, 0, -74250000, 0, 0, 0, 590625, 0, 0, 0, -825, 0, 0, 0, 1], 'lmfdb_label': '2280.a1', 'torsion': [2, 8]}
  • id: 115389
    {'degree': 16, 'field': [4117656698401, 0, 34788621896, 0, 11846766010, 0, 40726484, 0, 12027019, 0, 5684, 0, 5710, 0, -4, 0, 1], 'lmfdb_label': '2280.a1', '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: 38166
    {'conductor': 2280, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '2280.a1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 38167
    {'conductor': 2280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2280.a1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 38168
    {'conductor': 2280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2280.a1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 38169
    {'conductor': 2280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2280.a1', 'prime': 19, '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: 1678710
    {'adelic_gens': [[7, 6, 450, 451], [388, 1, 407, 6], [1, 0, 8, 1], [449, 8, 448, 9], [403, 402, 298, 67], [160, 3, 157, 2], [1, 8, 0, 1], [1, 4, 4, 17], [179, 172, 218, 405]], 'adelic_image': '456.48.0.?', 'conductor': 2280, 'lmfdb_label': '2280.a1', 'prime': 0}
  • id: 11151
    {'conductor': 2280, 'elladic_image': '8.12.0.6', 'lmfdb_label': '2280.a1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 68358
    {'lmfdb_iso': '2280.a', 'p': 13, 'prec': 20, 'unit': 973843321676900805365, 'val': 1}
  • id: 68360
    {'lmfdb_iso': '2280.a', 'p': 17, 'prec': 20, 'unit': 163171012365922346931389, 'val': 1}
  • id: 68365
    {'lmfdb_iso': '2280.a', 'p': 23, 'prec': 20, 'unit': 68638795474555754122917450, 'val': 1}
  • id: 68357
    {'lmfdb_iso': '2280.a', 'p': 29, 'prec': 20, 'unit': 3630176950987129571865474952, 'val': 1}
  • id: 68354
    {'lmfdb_iso': '2280.a', 'p': 37, 'prec': 20, 'unit': 499179524946070382017264199046, 'val': 1}
  • id: 68355
    {'lmfdb_iso': '2280.a', 'p': 41, 'prec': 20, 'unit': 1684186100461056448455985531667, 'val': 1}
  • id: 68356
    {'lmfdb_iso': '2280.a', 'p': 43, 'prec': 20, 'unit': 7925530072054369307608328165424, 'val': 1}
  • id: 68367
    {'lmfdb_iso': '2280.a', 'p': 47, 'prec': 20, 'unit': 11560805339260705867948262067379, 'val': 1}
  • id: 68362
    {'lmfdb_iso': '2280.a', 'p': 53, 'prec': 20, 'unit': 257039463468694539271018373676154, 'val': 1}
  • id: 68363
    {'lmfdb_iso': '2280.a', 'p': 59, 'prec': 20, 'unit': 2801279673838796894873481395051976, 'val': 1}
  • id: 68368
    {'lmfdb_iso': '2280.a', 'p': 61, 'prec': 20, 'unit': 1890559040456093153048856304374102, 'val': 1}
  • id: 68353
    {'lmfdb_iso': '2280.a', 'p': 67, 'prec': 20, 'unit': 25395601017449097312946903657345488, 'val': 1}
  • id: 68364
    {'lmfdb_iso': '2280.a', 'p': 73, 'prec': 20, 'unit': 226630858473681454994084928750471620, 'val': 1}
  • id: 68359
    {'lmfdb_iso': '2280.a', 'p': 79, 'prec': 20, 'unit': 3011042385686042052607141660308906, 'val': 2}
  • id: 68361
    {'lmfdb_iso': '2280.a', 'p': 83, 'prec': 20, 'unit': 2048253076095734967573015473963788900, 'val': 1}
  • id: 68366
    {'lmfdb_iso': '2280.a', 'p': 89, 'prec': 20, 'unit': 10158946951221770612989362032491027215, 'val': 1}
  • id: 68352
    {'lmfdb_iso': '2280.a', 'p': 97, 'prec': 20, 'unit': 30095945583622012652132489806837765052, 'val': 1}