Elliptic curve data - 75150.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
  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': '75150o', 'Clabel': '75150o1', 'Cnumber': 1, 'abc_quality': 0.9819344481810011, 'absD': 143613886464000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1336, 'ainvs': [1, -1, 0, 126783, -5557059], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 167], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 75150, 'degree': 953856, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9811355235071256835477196037', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1], 'jinv': [19785968032823, 12608077824], 'lmfdb_iso': '75150.d', 'lmfdb_label': '75150.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 564, 1872], 'min_quad_twist_disc': -15, 'modell_images': [], 'modm_images': ['1336.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.2523720625510799215280358368', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62711042295602065054971731863', 'prec': 103}, 'szpiro_ratio': 4.174159410512901, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -3, -1, 0, 0, -6, 0, -2, 3, 0, 1, 0, 0, 0, 0], 'aplist': [-1, 0, 0, -3, -6, -2, 0, 0, 4, 6, -9, 1, -2, 8, -1, -3, -3, -12, -1, -8, -10, -12, 17, 15, 13], 'class_deg': 1, 'class_size': 1, 'conductor': 75150, 'isogeny_matrix': [[1]], 'lmfdb_iso': '75150.d', 'trace_hash': 2036618735147678960}
• 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': '0.019019870186102200274996148136', 'prec': 107}, 'conductor': 75150, 'gens': [[4065, 258099, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '7.2523720625510799215280358368', 'prec': 100}], 'lmfdb_label': '75150.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18723734258181260065368819882', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7158297448132867887149489625397618790', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [4065]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 3, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '167': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '75150.d1'}
• ec_torsion_growth •

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

  
  
  • id: 3554725
    {'degree': 3, 'field': [-13, 9, -1, 1], 'lmfdb_label': '75150.d1', 'torsion': [2]}
  • id: 3554726
    {'degree': 6, 'field': [398, 620, 343, -16, 6, 0, 1], 'lmfdb_label': '75150.d1', 'torsion': [2, 2]}
  • id: 3554727
    {'degree': 8, 'field': [-211004, 102989, -101498, -2983, 1495, -7, 7, -4, 1], 'lmfdb_label': '75150.d1', 'torsion': [3]}
  • id: 3554728
    {'degree': 12, 'field': [3921337701, 1196445240, -556963218, -292796640, -23377517, 8816880, 2378340, 275040, 12479, -840, -42, 0, 1], 'lmfdb_label': '75150.d1', 'torsion': [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: 1825890
    {'conductor': 75150, 'conductor_valuation': 1, 'discriminant_valuation': 23, 'j_denominator_valuation': 23, 'kodaira_symbol': 27, 'lmfdb_label': '75150.d1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1825891
    {'conductor': 75150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '75150.d1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1825892
    {'conductor': 75150, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '75150.d1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1825893
    {'conductor': 75150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '75150.d1', 'prime': 167, '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

  
  {'adelic_gens': [[335, 2, 0, 1], [1, 2, 0, 1], [1, 0, 2, 1], [669, 2, 669, 3], [1335, 2, 1334, 3], [673, 2, 673, 3], [1, 1, 1335, 0]], 'adelic_image': '1336.2.0.?', 'conductor': 75150, 'lmfdb_label': '75150.d1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 3863855
    {'lmfdb_iso': '75150.d', 'p': 7, 'prec': 20, 'unit': 10781733464004393, 'val': 1}
  • id: 3863853
    {'lmfdb_iso': '75150.d', 'p': 11, 'prec': 20, 'unit': 27202910938947639526, 'val': 1}
  • id: 3863859
    {'lmfdb_iso': '75150.d', 'p': 13, 'prec': 20, 'unit': 1357465064053813419541, 'val': 1}
  • id: 3863865
    {'lmfdb_iso': '75150.d', 'p': 23, 'prec': 20, 'unit': 36084312802003094544597153, 'val': 1}
  • id: 3863858
    {'lmfdb_iso': '75150.d', 'p': 29, 'prec': 20, 'unit': 2243475183577956747027658209, 'val': 1}
  • id: 3863870
    {'lmfdb_iso': '75150.d', 'p': 31, 'prec': 20, 'unit': 14813232043659578447053841864, 'val': 1}
  • id: 3863854
    {'lmfdb_iso': '75150.d', 'p': 37, 'prec': 20, 'unit': 1896641576798211496252251366319, 'val': -1}
  • id: 3863856
    {'lmfdb_iso': '75150.d', 'p': 41, 'prec': 20, 'unit': 3500053190098072654899332092373, 'val': 1}
  • id: 3863857
    {'lmfdb_iso': '75150.d', 'p': 43, 'prec': 20, 'unit': 7902632386472098413469394830146, 'val': 1}
  • id: 3863868
    {'lmfdb_iso': '75150.d', 'p': 47, 'prec': 20, 'unit': 51109413432131718572300347529299, 'val': 1}
  • id: 3863863
    {'lmfdb_iso': '75150.d', 'p': 53, 'prec': 20, 'unit': 172008511009495595034121941513973, 'val': 1}
  • id: 3863861
    {'lmfdb_iso': '75150.d', 'p': 59, 'prec': 20, 'unit': 3252941230303900976517985531376268, 'val': 1}
  • id: 3863869
    {'lmfdb_iso': '75150.d', 'p': 61, 'prec': 20, 'unit': 3716800542460242526693059424862830, 'val': 1}
  • id: 3863862
    {'lmfdb_iso': '75150.d', 'p': 67, 'prec': 20, 'unit': 16025324331845512201395320885485997, 'val': 1}
  • id: 3863867
    {'lmfdb_iso': '75150.d', 'p': 71, 'prec': 20, 'unit': 85938051382589061924045057178908684, 'val': 1}
  • id: 3863864
    {'lmfdb_iso': '75150.d', 'p': 73, 'prec': 20, 'unit': 180707267649462564108364808318435671, 'val': 1}
  • id: 3863860
    {'lmfdb_iso': '75150.d', 'p': 79, 'prec': 20, 'unit': 454321019605163183128495320615674243, 'val': 1}
  • id: 3863852
    {'lmfdb_iso': '75150.d', 'p': 83, 'prec': 20, 'unit': 830811432025866677379441661092197262, 'val': 1}
  • id: 3863866
    {'lmfdb_iso': '75150.d', 'p': 89, 'prec': 20, 'unit': 9190768477704226718527035126098786329, 'val': 1}
  • id: 3863851
    {'lmfdb_iso': '75150.d', 'p': 97, 'prec': 20, 'unit': 10405164935999807376404286471552431461, 'val': 1}