Elliptic curve data - 2475.i4

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '2475j', 'Clabel': '2475j1', 'Cnumber': 1, 'abc_quality': 0.7920712085843463, 'absD': 626484375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [1, -1, 0, 183, -784], 'analytic_rank': 1, 'bad_primes': [3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2475, 'degree': 768, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.37521244001640082291778275398', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4], 'jinv': [59319, 55], 'lmfdb_iso': '2475.i', 'lmfdb_label': '2475.i4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 1, 0], 'min_quad_twist_disc': -15, '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.z.1', '88.12.0.?', '110.6.0.?', '120.24.0.?', '220.12.0.?', '264.24.0.?', '440.24.0.?', '660.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3149900377124200494525818698', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.97881266053470421008021953109', 'prec': 107}, 'szpiro_ratio': 3.485922859176969, '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, 1, 0, -1, 0, 0, 0, -3, 0, 0, 1, 0, -2, 0, 0, -1, 6, 0, -4, 0], 'aplist': [1, 0, 0, 0, 1, -2, 6, -4, 4, -6, -8, 2, -2, -4, -12, -2, -4, -10, 16, -8, -14, 8, -4, -10, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 2475, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '2475.i', 'trace_hash': 213104236991859659}
• 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': '0.47216589625507746114709163049', 'prec': 103}, 'conductor': 2475, 'gens': [[68, 534, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.3149900377124200494525818698', 'prec': 100}], 'lmfdb_label': '2475.i4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.88886178683078034013809041399', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8354297550780779307618261546632487520', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[4, -2, 1]], 'xcoord_integral_points': [4, 68]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': 'a', '7': [1, 1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2475.i4'}
• ec_torsion_growth •

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

  
  
  • id: 127294
    {'degree': 2, 'field': [-41, -1, 1], 'lmfdb_label': '2475.i4', 'torsion': [4]}
  • id: 127295
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '2475.i4', 'torsion': [4]}
  • id: 127293
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '2475.i4', 'torsion': [2, 2]}
  • id: 127296
    {'degree': 4, 'field': [196, -14, -13, -1, 1], 'lmfdb_label': '2475.i4', 'torsion': [2, 4]}
  • id: 127298
    {'degree': 8, 'field': [4, 44, -42, -154, -45, -22, -1, 0, 1], 'lmfdb_label': '2475.i4', 'torsion': [8]}
  • id: 127299
    {'degree': 8, 'field': [16, -16, 20, -4, 9, -9, 0, -1, 1], 'lmfdb_label': '2475.i4', 'torsion': [8]}
  • id: 127300
    {'degree': 8, 'field': [85, -25, -110, 35, 25, -10, 4, -4, 1], 'lmfdb_label': '2475.i4', 'torsion': [6]}
  • id: 127297
    {'degree': 8, 'field': [6136, 3176, -116, -1528, 474, -86, 31, -2, 1], 'lmfdb_label': '2475.i4', 'torsion': [2, 4]}
  • id: 127306
    {'degree': 16, 'field': [1, -4, 12, -14, 17, -45, 25, -7, 39, -7, 25, -45, 17, -14, 12, -4, 1], 'lmfdb_label': '2475.i4', 'torsion': [12]}
  • id: 127303
    {'degree': 16, 'field': [1, 0, 1, 0, -15, 0, 14, 0, 254, 0, 14, 0, -15, 0, 1, 0, 1], 'lmfdb_label': '2475.i4', 'torsion': [2, 8]}
  • id: 127302
    {'degree': 16, 'field': [1, 0, 7, 0, 21, 0, 182, 0, 734, 0, 182, 0, 21, 0, 7, 0, 1], 'lmfdb_label': '2475.i4', 'torsion': [2, 8]}
  • id: 127304
    {'degree': 16, 'field': [25, -175, 875, -1575, 1025, 325, -1085, 885, -95, -420, 460, -415, 266, -105, 38, -5, 1], 'lmfdb_label': '2475.i4', 'torsion': [2, 6]}
  • id: 127305
    {'degree': 16, 'field': [7569, 0, -16767, 0, 4095, 0, 1026, 0, -1365, 0, 234, 0, -42, 0, 0, 0, 1], 'lmfdb_label': '2475.i4', 'torsion': [12]}
  • id: 127301
    {'degree': 16, 'field': [456976, 0, 88556, 0, -274195, 0, 1029, 0, 179714, 0, 17409, 0, 1250, 0, 41, 0, 1], 'lmfdb_label': '2475.i4', '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: 42513
    {'conductor': 2475, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2475.i4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 42514
    {'conductor': 2475, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '2475.i4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 42515
    {'conductor': 2475, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2475.i4', 'prime': 11, '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: 1680080
    {'adelic_gens': [[169, 168, 1278, 175], [808, 3, 285, 442], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [499, 498, 618, 835], [1052, 879, 1209, 434], [1313, 8, 1312, 9], [439, 0, 0, 1319], [7, 6, 1314, 1315]], 'adelic_image': '1320.48.0.?', 'conductor': 2475, 'lmfdb_label': '2475.i4', 'prime': 0}
  • id: 12303
    {'conductor': 2475, 'elladic_image': '4.6.0.1', 'lmfdb_label': '2475.i4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 76466
    {'lmfdb_iso': '2475.i', 'p': 13, 'prec': 20, 'unit': 451061613898580591850, 'val': 1}
  • id: 76468
    {'lmfdb_iso': '2475.i', 'p': 17, 'prec': 20, 'unit': 181828509016334528070115, 'val': 1}
  • id: 76469
    {'lmfdb_iso': '2475.i', 'p': 19, 'prec': 20, 'unit': 803907982606665468321233, 'val': 1}
  • id: 76473
    {'lmfdb_iso': '2475.i', 'p': 23, 'prec': 20, 'unit': 9545810832122156623186677, 'val': 1}
  • id: 76465
    {'lmfdb_iso': '2475.i', 'p': 29, 'prec': 20, 'unit': 92528654961955108542906132, 'val': 2}
  • id: 76477
    {'lmfdb_iso': '2475.i', 'p': 31, 'prec': 20, 'unit': 140087334423490559446189953, 'val': 1}
  • id: 76461
    {'lmfdb_iso': '2475.i', 'p': 37, 'prec': 20, 'unit': 94294112066507217963569245294, 'val': 1}
  • id: 76463
    {'lmfdb_iso': '2475.i', 'p': 41, 'prec': 20, 'unit': 3148541771111902445954410748099, 'val': 1}
  • id: 76464
    {'lmfdb_iso': '2475.i', 'p': 43, 'prec': 20, 'unit': 8091381123147906613690020709153, 'val': 1}
  • id: 76475
    {'lmfdb_iso': '2475.i', 'p': 47, 'prec': 20, 'unit': 43286512814561902980212465990150, 'val': 1}
  • id: 76470
    {'lmfdb_iso': '2475.i', 'p': 53, 'prec': 20, 'unit': 278674483847968539012121006101854, 'val': 1}
  • id: 76471
    {'lmfdb_iso': '2475.i', 'p': 59, 'prec': 20, 'unit': 1596254102008691201370840051848545, 'val': 1}
  • id: 76476
    {'lmfdb_iso': '2475.i', 'p': 61, 'prec': 20, 'unit': 7727308298419593733961306327772217, 'val': 1}
  • id: 76460
    {'lmfdb_iso': '2475.i', 'p': 67, 'prec': 20, 'unit': 48659792079597290884657621534296073, 'val': 1}
  • id: 76462
    {'lmfdb_iso': '2475.i', 'p': 71, 'prec': 20, 'unit': 21125861606594039602000996750754934, 'val': 1}
  • id: 76472
    {'lmfdb_iso': '2475.i', 'p': 73, 'prec': 20, 'unit': 193892797260077225399550029868943561, 'val': 1}
  • id: 76467
    {'lmfdb_iso': '2475.i', 'p': 79, 'prec': 20, 'unit': 531097117584630572152381318566998199, 'val': 1}
  • id: 76459
    {'lmfdb_iso': '2475.i', 'p': 83, 'prec': 20, 'unit': 867907703480815236754091622041196868, 'val': 1}
  • id: 76474
    {'lmfdb_iso': '2475.i', 'p': 89, 'prec': 20, 'unit': 7083308559763002799466885655540978396, 'val': 1}
  • id: 76458
    {'lmfdb_iso': '2475.i', 'p': 97, 'prec': 20, 'unit': 15566552546059585456469459096364636203, 'val': 1}