Elliptic curve data - 5904.o1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '5904q', 'Clabel': '5904q1', 'Cnumber': 1, 'abc_quality': 1.061638571904524, 'absD': 1065973305191694336, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 328, 'ainvs': [0, 0, 0, -65361099, -203388840070], 'analytic_rank': 0, 'bad_primes': [2, 3, 41], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 5904, 'degree': 322560, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9568332149908475287314465719', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [10341755683137709164937, 356992303104], 'lmfdb_iso': '5904.o', 'lmfdb_label': '5904.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -453897, -117739700], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '82.6.0.?', '328.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 369], [3, 6, 656], [41, 42, 144]], 'sha': 25, 'sha_primes': [5], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7143798900968473736165918320', 'prec': 100}, 'szpiro_ratio': 7.554647609708131, '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, 2, 0, -2, 0, 0, 0, 4, 0, 4, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 2, -2, 4, 4, 2, 0, 4, 0, -4, 2, 1, 12, -2, 4, -4, 10, 8, -10, -2, 14, -12, -10, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 5904, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '5904.o', 'trace_hash': 420224298564150000}
• 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': '0.0027022610513773126203571872868', 'prec': 110}, 'conductor': 5904, 'gens': [], 'heights': [], 'lmfdb_label': '5904.o1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.053096967615292787284687256825', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '25.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6548483807646393642343628412546935440', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-4667, 0, 1]], 'xcoord_integral_points': [-4667]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [4, 0], '41': [1, 0]}, 'iwp0': 7, 'lmfdb_label': '5904.o1'}
• ec_torsion_growth •

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

  
  
  • id: 307874
    {'degree': 2, 'field': [-10, -1, 1], 'lmfdb_label': '5904.o1', 'torsion': [2, 2]}
  • id: 307875
    {'degree': 4, 'field': [97, -24, -8, 0, 1], 'lmfdb_label': '5904.o1', 'torsion': [4]}
  • id: 307878
    {'degree': 8, 'field': [-108, 0, 0, 0, 36, 0, 13, 0, 1], 'lmfdb_label': '5904.o1', 'torsion': [6]}
  • id: 307876
    {'degree': 8, 'field': [256, 0, -400, 0, 96, 0, -25, 0, 1], 'lmfdb_label': '5904.o1', 'torsion': [2, 4]}
  • id: 307877
    {'degree': 8, 'field': [2116, 0, 2028, 0, 5, 0, 12, 0, 1], 'lmfdb_label': '5904.o1', 'torsion': [2, 4]}
  • id: 307879
    {'degree': 16, 'field': [15474, 35448, 6460, -3560, 24434, -7016, 1296, 6344, -4701, 2152, 120, -520, 378, -152, 44, -8, 1], 'lmfdb_label': '5904.o1', 'torsion': [8]}
  • id: 307880
    {'degree': 16, 'field': [16450102, 14155578, -4784905, -5189206, -1215281, 1202038, 146757, -64102, 16809, -26014, 8097, -1478, 397, -10, -1, -6, 1], 'lmfdb_label': '5904.o1', 'torsion': [2, 6]}
• 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: 116928
    {'conductor': 5904, 'conductor_valuation': 4, 'discriminant_valuation': 26, 'j_denominator_valuation': 14, 'kodaira_symbol': -22, 'lmfdb_label': '5904.o1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 116929
    {'conductor': 5904, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '5904.o1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 116930
    {'conductor': 5904, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5904.o1', 'prime': 41, '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: 1702632
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [325, 4, 324, 5], [1, 2, 2, 5], [1, 4, 0, 1], [165, 4, 2, 9], [209, 124, 40, 287], [258, 1, 199, 0]], 'adelic_image': '328.12.0.?', 'conductor': 5904, 'lmfdb_label': '5904.o1', 'prime': 0}
  • id: 29125
    {'conductor': 5904, 'elladic_image': '8.6.0.4', 'lmfdb_label': '5904.o1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 5904.o does not appear in ec_padic