Elliptic curve data - 6240.v1

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• 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': '6240l', 'Clabel': '6240l2', 'Cnumber': 2, 'abc_quality': 1.1653240287550397, 'absD': 12300387840000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -25625841, -49938972705], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6240, 'degree': 215040, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5707128594741168053248318858', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [454357982636417669333824, 3003024375], 'lmfdb_iso': '6240.v', 'lmfdb_label': '6240.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -25625841, 49938972705], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '40.12.0-4.c.1.4', '52.12.0-4.c.1.1', '120.24.0.?', '156.24.0.?', '520.24.0.?', '1560.48.0.?'], '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': '3.3144531184154192992277115905', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 39], [3, 4, 160], [5, 6, 1248], [7, 2, 2080], [13, 14, 480]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8775656789141714959075997643', 'prec': 100}, 'szpiro_ratio': 7.185357514545842, '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, 1, 0, -1, 0, -2, 0, -4, 0], 'aplist': [0, 1, -1, 0, 4, 1, -2, -4, -8, -6, 0, -10, 6, 4, 0, 6, -12, -10, 12, 12, -10, -8, -16, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 6240, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '6240.v', 'trace_hash': 2231043265919552028}
• 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': '0.0058493442446784783288244220912', 'prec': 110}, 'conductor': 6240, 'gens': [[7077, 351000, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.3144531184154192992277115905', 'prec': 100}], 'lmfdb_label': '6240.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.067101158987791993288961388310', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6704765587838962632582881498112058360', 'prec': 130}, 'tamagawa_product': 84, 'torsion_generators': [[-2923, 0, 1]], 'xcoord_integral_points': [-2923, 7077]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': [1, 1, 0], '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '6240.v1'}
• ec_torsion_growth •

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

  
  
  • id: 325034
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '6240.v1', 'torsion': [2, 2]}
  • id: 325035
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '6240.v1', 'torsion': [4]}
  • id: 325036
    {'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '6240.v1', 'torsion': [4]}
  • id: 325037
    {'degree': 4, 'field': [169, 0, -13, 0, 1], 'lmfdb_label': '6240.v1', 'torsion': [2, 4]}
  • id: 325041
    {'degree': 8, 'field': [-48, 0, -256, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '6240.v1', 'torsion': [6]}
  • id: 325038
    {'degree': 8, 'field': [900, 0, -1512, 0, -24, 0, -12, 0, 1], 'lmfdb_label': '6240.v1', 'torsion': [2, 4]}
  • id: 325039
    {'degree': 8, 'field': [1521, 0, 234, 0, -3, 0, 6, 0, 1], 'lmfdb_label': '6240.v1', 'torsion': [8]}
  • id: 325040
    {'degree': 8, 'field': [40361, -33156, 4564, 3756, -556, -76, 4, -4, 1], 'lmfdb_label': '6240.v1', 'torsion': [8]}
  • id: 325045
    {'degree': 16, 'field': [-12150891, 82264248, -56053782, -34678368, 30478662, 5642136, -6552954, -414264, 777915, 8256, -58514, 600, 2892, -28, -84, 0, 1], 'lmfdb_label': '6240.v1', 'torsion': [2, 6]}
  • id: 325046
    {'degree': 16, 'field': [2209, 6392, 23196, -10968, 13902, 3720, -880, 1300, 963, -776, 368, 12, -18, 0, 12, -4, 1], 'lmfdb_label': '6240.v1', 'torsion': [12]}
  • id: 325047
    {'degree': 16, 'field': [74894, 229620, 395728, 341240, 360392, 190612, 138510, 48536, 26619, 4616, 2430, -128, 136, -28, 20, 0, 1], 'lmfdb_label': '6240.v1', 'torsion': [12]}
  • id: 325043
    {'degree': 16, 'field': [1257129, -5344668, 10702668, -13056996, 12899668, -9158112, 5758704, -2700508, 1177541, -376288, 118052, -25204, 5778, -756, 128, -8, 1], 'lmfdb_label': '6240.v1', 'torsion': [2, 8]}
  • id: 325042
    {'degree': 16, 'field': [2436721, 0, -791068, 0, 339406, 0, -81220, 0, 3307, 0, -100, 0, 106, 0, 8, 0, 1], 'lmfdb_label': '6240.v1', 'torsion': [4, 4]}
  • id: 325044
    {'degree': 16, 'field': [4057249, -1086764, -1553256, 106916, 1031022, -755796, 287908, -34276, -24870, 5908, -1496, 852, 90, -20, 12, -4, 1], 'lmfdb_label': '6240.v1', 'torsion': [2, 8]}
• 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: 124657
    {'conductor': 6240, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '6240.v1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 124658
    {'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '6240.v1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 124659
    {'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6240.v1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 124660
    {'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6240.v1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1704894
    {'adelic_gens': [[203, 198, 1370, 587], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [584, 1357, 581, 552], [937, 8, 628, 33], [1553, 8, 1552, 9], [7, 6, 1554, 1555], [1204, 1, 1463, 6], [1048, 3, 1045, 2]], 'adelic_image': '1560.48.0.?', 'conductor': 6240, 'lmfdb_label': '6240.v1', 'prime': 0}
  • id: 30653
    {'conductor': 6240, 'elladic_image': '4.6.0.1', 'lmfdb_label': '6240.v1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 243553
    {'lmfdb_iso': '6240.v', 'p': 11, 'prec': 20, 'unit': 29388432966694612598, 'val': 1}
  • id: 243554
    {'lmfdb_iso': '6240.v', 'p': 17, 'prec': 20, 'unit': 204850815735373901481536, 'val': 1}
  • id: 243555
    {'lmfdb_iso': '6240.v', 'p': 19, 'prec': 20, 'unit': 25527464595443255953357, 'val': 2}
  • id: 243558
    {'lmfdb_iso': '6240.v', 'p': 23, 'prec': 20, 'unit': 9138325393739153599224890, 'val': 1}
  • id: 243551
    {'lmfdb_iso': '6240.v', 'p': 29, 'prec': 20, 'unit': 3302397401021644127495022955, 'val': 1}
  • id: 243547
    {'lmfdb_iso': '6240.v', 'p': 37, 'prec': 20, 'unit': 559276260221566621539996893479, 'val': 1}
  • id: 243549
    {'lmfdb_iso': '6240.v', 'p': 41, 'prec': 20, 'unit': 268844729876300132029503968033, 'val': 1}
  • id: 243550
    {'lmfdb_iso': '6240.v', 'p': 43, 'prec': 20, 'unit': 502666428312824016709591783534, 'val': 1}
  • id: 243556
    {'lmfdb_iso': '6240.v', 'p': 53, 'prec': 20, 'unit': 411182492729724193622577979521918, 'val': 1}
  • id: 243560
    {'lmfdb_iso': '6240.v', 'p': 59, 'prec': 20, 'unit': 84529751130950938820288629743237, 'val': 1}
  • id: 243561
    {'lmfdb_iso': '6240.v', 'p': 61, 'prec': 20, 'unit': 6451748123159822524253600061428109, 'val': 1}
  • id: 243546
    {'lmfdb_iso': '6240.v', 'p': 67, 'prec': 20, 'unit': 275379565157506807149727623050127, 'val': 2}
  • id: 243548
    {'lmfdb_iso': '6240.v', 'p': 71, 'prec': 20, 'unit': 48192431737312754565203835010889108, 'val': 1}
  • id: 243557
    {'lmfdb_iso': '6240.v', 'p': 73, 'prec': 20, 'unit': 194224696229184024275501160837252742, 'val': 1}
  • id: 243552
    {'lmfdb_iso': '6240.v', 'p': 79, 'prec': 20, 'unit': 308597382359131613267558717032909031, 'val': 1}
  • id: 243545
    {'lmfdb_iso': '6240.v', 'p': 83, 'prec': 20, 'unit': 1590330145377839630486330764785864241, 'val': 1}
  • id: 243559
    {'lmfdb_iso': '6240.v', 'p': 89, 'prec': 20, 'unit': 10877083151631366529593285137903255812, 'val': 1}
  • id: 243544
    {'lmfdb_iso': '6240.v', 'p': 97, 'prec': 20, 'unit': 12420265233116365562974171983890327347, 'val': 1}