Elliptic curve data - 7752.d1

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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': '7752a', 'Clabel': '7752a1', 'Cnumber': 1, 'abc_quality': 0.9273519361327117, 'absD': 1653829788672, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 136, 'ainvs': [0, -1, 0, -3168, 30780], 'analytic_rank': 1, 'bad_primes': [2, 3, 17, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 7752, 'degree': 9216, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0387678779999173281412365836', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [3434917850500, 1615068153], 'lmfdb_iso': '7752.d', 'lmfdb_label': '7752.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3168, 30780], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '34.6.0.a.1', '136.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3468046837935417638691136391', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 17], [3, 4, 2584], [17, 18, 456], [19, 20, 408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46114522753329623696020981572', 'prec': 103}, 'szpiro_ratio': 3.997059005471615, '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, 0, 0, -2, 0, 1, 0, 4, 0, 2, 0, 0, 0, -1, 0, -1, 0], 'aplist': [0, -1, 0, -2, 4, 2, -1, -1, 6, -4, -2, -4, 2, -12, -12, 6, 12, -8, 4, 6, 10, 6, -4, 6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 7752, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '7752.d', 'trace_hash': 1691255927160828014}
• 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': '0.12523845035546522883302835622', 'prec': 103}, 'conductor': 7752, 'gens': [[9, 54, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3468046837935417638691136391', 'prec': 100}], 'lmfdb_label': '7752.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.75202861885274181549934247924', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5297285701408053933764740419969111410', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[10, 0, 1]], 'xcoord_integral_points': [9, 10, 2898]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [7, 1, 0], '7': [1, 0], '11': [1, 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': '7752.d1'}
• ec_torsion_growth •

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

  
  
  • id: 405509
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '7752.d1', 'torsion': [2, 2]}
  • id: 405510
    {'degree': 4, 'field': [3, -2, 1, -2, 1], 'lmfdb_label': '7752.d1', 'torsion': [4]}
  • id: 405513
    {'degree': 8, 'field': [-2028, 0, -692, 0, -156, 0, 0, 0, 1], 'lmfdb_label': '7752.d1', 'torsion': [6]}
  • id: 405511
    {'degree': 8, 'field': [-152, -196, 127, 38, -114, 52, -8, -2, 1], 'lmfdb_label': '7752.d1', 'torsion': [2, 4]}
  • id: 405512
    {'degree': 8, 'field': [9, -30, 59, -74, 50, -10, 1, -2, 1], 'lmfdb_label': '7752.d1', 'torsion': [2, 4]}
  • id: 405515
    {'degree': 16, 'field': [52671524, 11810464, -11511428, 423392, -2713156, 2863680, -748568, -128704, -26863, 38384, -7140, 248, -466, 168, -4, -8, 1], 'lmfdb_label': '7752.d1', 'torsion': [2, 6]}
  • id: 405514
    {'degree': 16, 'field': [22193436177, -4255669680, 4658807600, -822797224, 450738574, -41621744, 4305804, 8693376, -2736401, 295504, 18612, -39664, 4366, 1008, -124, -8, 1], 'lmfdb_label': '7752.d1', '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: 159993
    {'conductor': 7752, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '7752.d1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 159994
    {'conductor': 7752, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '7752.d1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 159995
    {'conductor': 7752, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7752.d1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 159996
    {'conductor': 7752, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '7752.d1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1715165
    {'adelic_gens': [[1, 2, 2, 5], [89, 52, 16, 119], [3, 4, 8, 11], [133, 4, 132, 5], [1, 4, 0, 1], [74, 1, 31, 0], [69, 4, 2, 9], [1, 0, 4, 1]], 'adelic_image': '136.12.0.?', 'conductor': 7752, 'lmfdb_label': '7752.d1', 'prime': 0}
  • id: 37992
    {'conductor': 7752, 'elladic_image': '8.6.0.4', 'lmfdb_label': '7752.d1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 316854
    {'lmfdb_iso': '7752.d', 'p': 7, 'prec': 20, 'unit': 3778877808341877, 'val': 1}
  • id: 316852
    {'lmfdb_iso': '7752.d', 'p': 11, 'prec': 20, 'unit': 42506587767103016251, 'val': 1}
  • id: 316858
    {'lmfdb_iso': '7752.d', 'p': 13, 'prec': 20, 'unit': 1424355014073565967447, 'val': 1}
  • id: 316864
    {'lmfdb_iso': '7752.d', 'p': 23, 'prec': 20, 'unit': 45480478654495472165786113, 'val': 1}
  • id: 316857
    {'lmfdb_iso': '7752.d', 'p': 29, 'prec': 20, 'unit': 312578022127267250073590098, 'val': 1}
  • id: 316869
    {'lmfdb_iso': '7752.d', 'p': 31, 'prec': 20, 'unit': 3339586026966101334263690618, 'val': 1}
  • id: 316853
    {'lmfdb_iso': '7752.d', 'p': 37, 'prec': 20, 'unit': 399840369241160458612704413141, 'val': 1}
  • id: 316855
    {'lmfdb_iso': '7752.d', 'p': 41, 'prec': 20, 'unit': 3225462415745998636366026740887, 'val': 1}
  • id: 316856
    {'lmfdb_iso': '7752.d', 'p': 43, 'prec': 20, 'unit': 8076153796227135995029344684424, 'val': 1}
  • id: 316867
    {'lmfdb_iso': '7752.d', 'p': 47, 'prec': 20, 'unit': 38678892590978690932350184787414, 'val': 1}
  • id: 316862
    {'lmfdb_iso': '7752.d', 'p': 53, 'prec': 20, 'unit': 115691784491805609569254104469674, 'val': 1}
  • id: 316860
    {'lmfdb_iso': '7752.d', 'p': 59, 'prec': 20, 'unit': 3514369057843621462447268788888978, 'val': 1}
  • id: 316868
    {'lmfdb_iso': '7752.d', 'p': 61, 'prec': 20, 'unit': 6931794860871602727776555252505736, 'val': 1}
  • id: 316861
    {'lmfdb_iso': '7752.d', 'p': 67, 'prec': 20, 'unit': 32549067708487616379914024798923399, 'val': 1}
  • id: 316866
    {'lmfdb_iso': '7752.d', 'p': 71, 'prec': 20, 'unit': 42762518611616134032343939071857169, 'val': 1}
  • id: 316863
    {'lmfdb_iso': '7752.d', 'p': 73, 'prec': 20, 'unit': 113968909637558650166791769355653013, 'val': 1}
  • id: 316859
    {'lmfdb_iso': '7752.d', 'p': 79, 'prec': 20, 'unit': 780111537859159025201453200099263100, 'val': 1}
  • id: 316851
    {'lmfdb_iso': '7752.d', 'p': 83, 'prec': 20, 'unit': 1917309686275792629144857760923948058, 'val': 1}
  • id: 316865
    {'lmfdb_iso': '7752.d', 'p': 89, 'prec': 20, 'unit': 2062806096963076911515325411914795686, 'val': 1}
  • id: 316850
    {'lmfdb_iso': '7752.d', 'p': 97, 'prec': 20, 'unit': 23653820106346411392766878181167680119, 'val': 1}