Elliptic curve data - 35904.c2

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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': '35904cb', 'Clabel': '35904cb2', 'Cnumber': 2, 'abc_quality': 0.8776022502524988, 'absD': 98274705408, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2244, 'ainvs': [0, -1, 0, 1055, -7679], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 35904, 'degree': 61440, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79739648382528189511110702890', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [1979654684, 1499553], 'lmfdb_iso': '35904.c', 'lmfdb_label': '35904.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 264, 828], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '68.6.0.a.1', '132.6.0.?', '2244.12.0.?'], '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': '3.1355369855790509587219115243', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 17], [3, 4, 11968], [11, 12, 3264], [17, 18, 2112]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12679975692131185077853579971', 'prec': 107}, 'szpiro_ratio': 3.0982715324010153, '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, -4, 0, 4, 0, 1, 0, 1, 0, -2, 0, 4, 0, -1, 0, -2, 0], 'aplist': [0, -1, -4, 4, 1, -2, -1, -2, -4, -6, 8, 2, -6, 10, -2, -10, 10, 8, -12, -16, -8, 16, 16, 6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 35904, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '35904.c', 'trace_hash': 757868701797513253}
• 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': '0.20295054148079331884856427106', 'prec': 103}, 'conductor': 35904, 'gens': [[23, 168, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.1355369855790509587219115243', 'prec': 100}], 'lmfdb_label': '35904.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.59530884793103850169837839943', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7332258210604522213287105322459685452', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[7, 0, 1]], 'xcoord_integral_points': [7, 23]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '35904.c2'}
• ec_torsion_growth •

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

  
  
  • id: 1781688
    {'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '35904.c2', 'torsion': [2, 2]}
  • id: 1781689
    {'degree': 4, 'field': [-272, 0, -10, 0, 1], 'lmfdb_label': '35904.c2', 'torsion': [4]}
  • id: 1781692
    {'degree': 8, 'field': [-972, 0, 1872, 0, -24, 0, 22, 0, 1], 'lmfdb_label': '35904.c2', 'torsion': [6]}
  • id: 1781690
    {'degree': 8, 'field': [676, 0, -108, 0, 37, 0, -12, 0, 1], 'lmfdb_label': '35904.c2', 'torsion': [2, 4]}
  • id: 1781691
    {'degree': 8, 'field': [34596, 0, -3372, 0, 517, 0, -28, 0, 1], 'lmfdb_label': '35904.c2', 'torsion': [2, 4]}
  • id: 1781694
    {'degree': 16, 'field': [670761, 0, 5196888, 0, 11486028, 0, 5296972, 0, 1488158, 0, 68512, 0, 2272, 0, 44, 0, 1], 'lmfdb_label': '35904.c2', 'torsion': [2, 6]}
  • id: 1781693
    {'degree': 16, 'field': [67699984, 0, -18463632, 0, -36441812, 0, -5325012, 0, 284205, 0, -10620, 0, 535, 0, -42, 0, 1], 'lmfdb_label': '35904.c2', 'torsion': [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: 845705
    {'conductor': 35904, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '35904.c2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 845706
    {'conductor': 35904, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '35904.c2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 845707
    {'conductor': 35904, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '35904.c2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 845708
    {'conductor': 35904, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35904.c2', 'prime': 17, '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: 1904072
    {'adelic_gens': [[409, 4, 818, 9], [1, 2, 2, 5], [1, 4, 0, 1], [749, 4, 1498, 9], [2114, 1, 1187, 0], [1, 0, 4, 1], [2241, 4, 2240, 5], [3, 4, 8, 11], [1684, 565, 561, 1684]], 'adelic_image': '2244.12.0.?', 'conductor': 35904, 'lmfdb_label': '35904.c2', 'prime': 0}
  • id: 159340
    {'conductor': 35904, 'elladic_image': '2.3.0.1', 'lmfdb_label': '35904.c2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1764680
    {'lmfdb_iso': '35904.c', 'p': 5, 'prec': 20, 'unit': 81616891650811, 'val': -1}
  • id: 1764681
    {'lmfdb_iso': '35904.c', 'p': 7, 'prec': 20, 'unit': 57929196566214, 'val': 1}
  • id: 1764686
    {'lmfdb_iso': '35904.c', 'p': 13, 'prec': 20, 'unit': 63517783315819106761, 'val': 1}
  • id: 1764689
    {'lmfdb_iso': '35904.c', 'p': 19, 'prec': 20, 'unit': 1152789563457385936305955, 'val': 1}
  • id: 1764692
    {'lmfdb_iso': '35904.c', 'p': 23, 'prec': 20, 'unit': 43807977691281255336718566, 'val': 1}
  • id: 1764685
    {'lmfdb_iso': '35904.c', 'p': 29, 'prec': 20, 'unit': 1112719863873825021439974484, 'val': 1}
  • id: 1764682
    {'lmfdb_iso': '35904.c', 'p': 31, 'prec': 20, 'unit': 17805714547546834885292268605, 'val': 1}
  • id: 1764697
    {'lmfdb_iso': '35904.c', 'p': 37, 'prec': 20, 'unit': 446519473297230890918407628597, 'val': 1}
  • id: 1764683
    {'lmfdb_iso': '35904.c', 'p': 41, 'prec': 20, 'unit': 995354995749870831983465385642, 'val': 1}
  • id: 1764684
    {'lmfdb_iso': '35904.c', 'p': 43, 'prec': 20, 'unit': 4171811393509737360892835755766, 'val': 1}
  • id: 1764695
    {'lmfdb_iso': '35904.c', 'p': 47, 'prec': 20, 'unit': 56304156298554314670166020964888, 'val': 1}
  • id: 1764690
    {'lmfdb_iso': '35904.c', 'p': 53, 'prec': 20, 'unit': 10806250049550899046315055004115, 'val': 2}
  • id: 1764688
    {'lmfdb_iso': '35904.c', 'p': 59, 'prec': 20, 'unit': 43942164966770241933491711068154, 'val': 1}
  • id: 1764696
    {'lmfdb_iso': '35904.c', 'p': 61, 'prec': 20, 'unit': 3624740463220812719538196945783020, 'val': 1}
  • id: 1764679
    {'lmfdb_iso': '35904.c', 'p': 67, 'prec': 20, 'unit': 30447671369874408378581134139844832, 'val': 1}
  • id: 1764694
    {'lmfdb_iso': '35904.c', 'p': 71, 'prec': 20, 'unit': 101960860039564668740523676216793308, 'val': 1}
  • id: 1764691
    {'lmfdb_iso': '35904.c', 'p': 73, 'prec': 20, 'unit': 154996081835099750908952908981104551, 'val': 1}
  • id: 1764687
    {'lmfdb_iso': '35904.c', 'p': 79, 'prec': 20, 'unit': 704622307827766690034040597145194003, 'val': 1}
  • id: 1764678
    {'lmfdb_iso': '35904.c', 'p': 83, 'prec': 20, 'unit': 2692005170585933970368557534729238422, 'val': 1}
  • id: 1764693
    {'lmfdb_iso': '35904.c', 'p': 89, 'prec': 20, 'unit': 1665662893335755646060335488966605417, 'val': 1}
  • id: 1764677
    {'lmfdb_iso': '35904.c', 'p': 97, 'prec': 20, 'unit': 33007016177899109702428948393864701992, 'val': 1}