Elliptic curve data - 175350.p1

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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': '175350bv', 'Clabel': '175350bv4', 'Cnumber': 4, 'abc_quality': 1.0531102458192911, 'absD': 496136828257875000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 46760, 'ainvs': [1, 0, 1, -5457726, -4907898152], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 167], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 175350, 'degree': 8257536, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4986002443218719228295483843', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [1150638118585800835537, 31752757008504], 'lmfdb_iso': '175350.p', 'lmfdb_label': '175350.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -218309, -39350509], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '56.12.0.s.1', '280.24.0.?', '1336.12.0.?', '6680.24.0.?', '9352.24.0.?', '46760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0830090426915033106502325397', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6938812881048217355291687177', 'prec': 100}, 'szpiro_ratio': 4.816020708605687, '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, 1, 1, 0, -1, -1, -1, 1, 0, -4, 1, -6, 1, 0, 1, 2, -1, -4, 0], 'aplist': [-1, 1, 0, -1, -4, -6, 2, -4, 4, 6, 8, -10, -2, 12, 8, -2, 0, -2, -4, -12, 2, -4, 0, 18, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 175350, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '175350.p', 'trace_hash': 1632092064824585778}
• 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': '0.0067568363864176758204754250724', 'prec': 110}, 'conductor': 175350, 'gens': [[-1348, 336, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0830090426915033106502325397', 'prec': 100}], 'lmfdb_label': '175350.p1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.098775071146566761410050465780', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9379847933790838395525191819458007681', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-5417, 5413, 2]], 'xcoord_integral_points': [-1348, 2806, 5618]}
• lmfdb_label 175350.p1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7769914
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '175350.p1', 'torsion': [2, 2]}
  • id: 7769915
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '175350.p1', 'torsion': [4]}
  • id: 7769916
    {'degree': 2, 'field': [70, 0, 1], 'lmfdb_label': '175350.p1', 'torsion': [4]}
  • id: 7769917
    {'degree': 4, 'field': [361, 0, -18, 0, 1], 'lmfdb_label': '175350.p1', 'torsion': [2, 4]}
  • id: 7769921
    {'degree': 8, 'field': [-52254, 16989, -17748, 1517, -755, -7, 7, -4, 1], 'lmfdb_label': '175350.p1', 'torsion': [6]}
  • id: 7769918
    {'degree': 8, 'field': [250489, 8068, -9070, 2008, -1013, 8, 2, -4, 1], 'lmfdb_label': '175350.p1', 'torsion': [2, 4]}
  • id: 7769919
    {'degree': 8, 'field': [22953681, 0, -660063, 0, 14068, 0, -143, 0, 1], 'lmfdb_label': '175350.p1', 'torsion': [8]}
  • id: 7769920
    {'degree': 8, 'field': [2949141636, 0, -18669392, 0, 147028, 0, -392, 0, 1], 'lmfdb_label': '175350.p1', 'torsion': [8]}
  • id: 7769926
    {'degree': 16, 'field': [82944, 0, 25749, 0, 13962, 0, -397, 0, -1765, 0, 527, 0, -17, 0, 10, 0, 1], 'lmfdb_label': '175350.p1', 'torsion': [12]}
  • id: 7769922
    {'degree': 16, 'field': [280864081, 0, -72037716, 0, 11371558, 0, -958464, 0, 95703, 0, -1368, 0, 562, 0, 12, 0, 1], 'lmfdb_label': '175350.p1', 'torsion': [4, 4]}
  • id: 7769925
    {'degree': 16, 'field': [143569013750, 36823622500, -35064093875, -3420703500, 1466368600, 287679950, -88060625, -5391440, -278919, 1044802, -170797, -18856, 1535, 714, -82, -8, 1], 'lmfdb_label': '175350.p1', 'torsion': [2, 6]}
  • id: 7769923
    {'degree': 16, 'field': [614955384729, -1275428040012, 1544204888844, -557253368484, 328583320402, -61942241144, 24011518748, -2964551772, 843366499, -69614872, 15394132, -813484, 144802, -4284, 632, -8, 1], 'lmfdb_label': '175350.p1', 'torsion': [2, 8]}
  • id: 7769927
    {'degree': 16, 'field': [13924401615356, 879625736948, -826398340431, -105012533028, 48959140374, 4093121646, -1093289801, -229799792, 54341535, 1933690, -248105, -75696, 12707, -70, 30, -8, 1], 'lmfdb_label': '175350.p1', 'torsion': [12]}
  • id: 7769924
    {'degree': 16, 'field': [52666284179716, 0, -7124176503152, 0, 620456635064, 0, -30997506288, 0, 1067520104, 0, -20655768, 0, 213332, 0, -800, 0, 1], 'lmfdb_label': '175350.p1', '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: 4335964
    {'conductor': 175350, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '175350.p1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4335965
    {'conductor': 175350, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '175350.p1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 4335966
    {'conductor': 175350, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '175350.p1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4335967
    {'conductor': 175350, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '175350.p1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4335968
    {'conductor': 175350, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '175350.p1', 'prime': 167, '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: 2793246
    {'adelic_gens': [[7, 6, 46754, 46755], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [36076, 18705, 22735, 6], [17536, 3515, 45595, 8216], [18703, 0, 0, 46759], [38081, 9360, 40100, 37441], [43256, 38585, 31555, 3486], [46753, 8, 46752, 9]], 'adelic_image': '46760.48.0.?', 'conductor': 175350, 'lmfdb_label': '175350.p1', 'prime': 0}
  • id: 659486
    {'conductor': 175350, 'elladic_image': '4.6.0.1', 'lmfdb_label': '175350.p1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 175350.p does not appear in ec_padic