Elliptic curve data - 25280.n2

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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': '25280r', 'Clabel': '25280r3', 'Cnumber': 3, 'abc_quality': 1.086497908071243, 'absD': 51052650168320, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3160, 'ainvs': [0, 0, 0, -10028, -176688], 'analytic_rank': 1, 'bad_primes': [2, 5, 79], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 25280, 'degree': 73728, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3252137135967605623672388005', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [425428681761, 194750405], 'lmfdb_iso': '25280.n', 'lmfdb_label': '25280.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -157, 384], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '10.6.0.a.1', '20.12.0.g.1', '40.24.0-20.g.1.2', '632.24.0.?', '3160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5172549496425495653593042106', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 5], [5, 6, 5056], [79, 80, 320]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28549294275684259824139061831', 'prec': 103}, 'szpiro_ratio': 3.871957725421246, '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, 4, 0, -3, 0, 4, 0, -6, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, -1, 4, 4, -6, 6, -4, 0, -6, 0, -10, 2, 8, -12, 14, -4, 10, -4, 8, 2, 1, 4, -6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 25280, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '25280.n', 'trace_hash': 498957637184856973}
• 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': '0.070621021263569458954950380628', 'prec': 107}, 'conductor': 25280, 'gens': [[-2647, 209429, 8]], 'heights': [{'__RealLiteral__': 0, 'data': '5.5172549496425495653593042106', 'prec': 100}], 'lmfdb_label': '25280.n2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.49829270283060401470635045500', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4984157621258281368467967483005729153', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[108, 0, 1]], 'xcoord_integral_points': [108]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 3, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '79': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '25280.n2'}
• ec_torsion_growth •

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

  
  
  • id: 1273146
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '25280.n2', 'torsion': [4]}
  • id: 1273147
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '25280.n2', 'torsion': [4]}
  • id: 1273145
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '25280.n2', 'torsion': [2, 2]}
  • id: 1273148
    {'degree': 4, 'field': [4, 0, -6, 0, 1], 'lmfdb_label': '25280.n2', 'torsion': [2, 4]}
  • id: 1273152
    {'degree': 8, 'field': [-30000, 0, -7800, 0, -600, 0, 0, 0, 1], 'lmfdb_label': '25280.n2', 'torsion': [6]}
  • id: 1273150
    {'degree': 8, 'field': [-3719, -28344, -14730, 5544, 3324, 44, -110, -4, 1], 'lmfdb_label': '25280.n2', 'torsion': [8]}
  • id: 1273149
    {'degree': 8, 'field': [1, 0, 8, 0, -1, 0, 2, 0, 1], 'lmfdb_label': '25280.n2', 'torsion': [2, 4]}
  • id: 1273151
    {'degree': 8, 'field': [484, 0, 412, 0, 69, 0, -10, 0, 1], 'lmfdb_label': '25280.n2', 'torsion': [8]}
  • id: 1273153
    {'degree': 16, 'field': [1, 0, 0, 0, -36, 0, 0, 0, 646, 0, 0, 0, -36, 0, 0, 0, 1], 'lmfdb_label': '25280.n2', 'torsion': [4, 4]}
  • id: 1273158
    {'degree': 16, 'field': [6241, 0, -24964, 0, 24964, 0, -1612, 0, 2086, 0, 308, 0, 4, 0, -4, 0, 1], 'lmfdb_label': '25280.n2', 'torsion': [12]}
  • id: 1273156
    {'degree': 16, 'field': [130681, 25149368, -14455540, -20426400, 7940930, 2354824, -148928, -576840, 182275, -22920, 2032, 1496, -310, 0, 20, -8, 1], 'lmfdb_label': '25280.n2', 'torsion': [2, 6]}
  • id: 1273157
    {'degree': 16, 'field': [182329, 0, 32236, 0, -34340, 0, -35132, 0, 13390, 0, -572, 0, 172, 0, -20, 0, 1], 'lmfdb_label': '25280.n2', 'torsion': [12]}
  • id: 1273155
    {'degree': 16, 'field': [4060225, -564200, 880280, -661480, 412134, -120040, 76564, -30368, 7479, -1560, 1852, -736, 62, 0, 20, -8, 1], 'lmfdb_label': '25280.n2', 'torsion': [2, 8]}
  • id: 1273154
    {'degree': 16, 'field': [19545241, 0, -95794616, 0, 95767052, 0, -34197288, 0, 5247310, 0, -369192, 0, 12252, 0, -184, 0, 1], 'lmfdb_label': '25280.n2', '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: 581088
    {'conductor': 25280, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '25280.n2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 581089
    {'conductor': 25280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '25280.n2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 581090
    {'conductor': 25280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '25280.n2', 'prime': 79, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1832832
    {'adelic_gens': [[3153, 8, 3152, 9], [1, 0, 8, 1], [2536, 3, 5, 2], [161, 8, 644, 33], [1181, 1182, 382, 1965], [1181, 1184, 2742, 1179], [7, 6, 3154, 3155], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '3160.48.0.?', 'conductor': 25280, 'lmfdb_label': '25280.n2', 'prime': 0}
  • id: 115312
    {'conductor': 25280, 'elladic_image': '8.12.0.8', 'lmfdb_label': '25280.n2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1203556
    {'lmfdb_iso': '25280.n', 'p': 7, 'prec': 20, 'unit': 7251389456417627, 'val': 1}
  • id: 1203554
    {'lmfdb_iso': '25280.n', 'p': 11, 'prec': 20, 'unit': 34815106781088444689, 'val': 1}
  • id: 1203560
    {'lmfdb_iso': '25280.n', 'p': 13, 'prec': 20, 'unit': 1029858873211420870192, 'val': 1}
  • id: 1203562
    {'lmfdb_iso': '25280.n', 'p': 17, 'prec': 20, 'unit': 67509637067182972950544, 'val': 1}
  • id: 1203563
    {'lmfdb_iso': '25280.n', 'p': 19, 'prec': 20, 'unit': 1119480268618748786317753, 'val': 1}
  • id: 1203559
    {'lmfdb_iso': '25280.n', 'p': 29, 'prec': 20, 'unit': 6009063026105087510654624275, 'val': 1}
  • id: 1203555
    {'lmfdb_iso': '25280.n', 'p': 37, 'prec': 20, 'unit': 431098412134293255201172888856, 'val': 1}
  • id: 1203557
    {'lmfdb_iso': '25280.n', 'p': 41, 'prec': 20, 'unit': 3591624243262313731764823279348, 'val': 1}
  • id: 1203558
    {'lmfdb_iso': '25280.n', 'p': 43, 'prec': 20, 'unit': 10376789745272323341212235538899, 'val': 1}
  • id: 1203561
    {'lmfdb_iso': '25280.n', 'p': 47, 'prec': 20, 'unit': 18218956694948745473384385411664, 'val': 1}
  • id: 1203564
    {'lmfdb_iso': '25280.n', 'p': 53, 'prec': 20, 'unit': 391936515727815771768503679387396, 'val': 1}
  • id: 1203569
    {'lmfdb_iso': '25280.n', 'p': 59, 'prec': 20, 'unit': 3748118780351744876870943867420035, 'val': 1}
  • id: 1203570
    {'lmfdb_iso': '25280.n', 'p': 61, 'prec': 20, 'unit': 2224417493867864651064255176584916, 'val': 1}
  • id: 1203553
    {'lmfdb_iso': '25280.n', 'p': 67, 'prec': 20, 'unit': 1829673735452254870353052118871682, 'val': 1}
  • id: 1203568
    {'lmfdb_iso': '25280.n', 'p': 71, 'prec': 20, 'unit': 51709979308286870444825836682451492, 'val': 1}
  • id: 1203565
    {'lmfdb_iso': '25280.n', 'p': 73, 'prec': 20, 'unit': 72273592851566399784704234901065690, 'val': 1}
  • id: 1203566
    {'lmfdb_iso': '25280.n', 'p': 83, 'prec': 20, 'unit': 421194851571910282186525569641419907, 'val': 1}
  • id: 1203567
    {'lmfdb_iso': '25280.n', 'p': 89, 'prec': 20, 'unit': 8854384621496909467613934853653901081, 'val': 1}
  • id: 1203552
    {'lmfdb_iso': '25280.n', 'p': 97, 'prec': 20, 'unit': 4051976003153388460745727199475898619, 'val': 1}