Elliptic curve data - 2175.j1

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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': '2175f', 'Clabel': '2175f1', 'Cnumber': 1, 'abc_quality': 1.198475926679224, 'absD': 169921875, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 870, 'ainvs': [0, -1, 1, -17458, -882057], 'analytic_rank': 1, 'bad_primes': [3, 5, 29], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 2175, 'degree': 4560, 'elladic_images': ['5.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.94601896826893770277856983121', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 5], 'jinv': [-301302001664, 87], 'lmfdb_iso': '2175.j', 'lmfdb_label': '2175.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -698, -7336], 'min_quad_twist_disc': 5, 'modell_images': ['5B.1.3'], 'modm_images': ['5.24.0-5.a.2.1', '870.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.926812093367996945759783925', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 4, 725], [5, 14, 87], [29, 30, 75]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.26105946605663757817199966871', 'prec': 107}, 'szpiro_ratio': 5.324329341989361, '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, 2, -1, 2, 0, -2, 2, 0, 1, 0, -3, -2, -4, 4, 0, -4, -8, 2, 0, 0], 'aplist': [2, -1, 0, 2, -3, -4, -8, 0, 1, 1, -8, 7, 7, -9, 12, -9, 10, 2, -8, -8, 1, -10, -9, 10, -13], 'class_deg': 5, 'class_size': 2, 'conductor': 2175, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '2175.j', 'trace_hash': 1436632637218051450}
• 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': '0.15076424757890895270353787720', 'prec': 103}, 'conductor': 2175, 'gens': [[1180533, 659971191, 82]], 'heights': [{'__RealLiteral__': 0, 'data': '11.926812093367996945759783925', 'prec': 100}], 'lmfdb_label': '2175.j1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20766765372555764060791634036', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9536261677106768669503002100642428052', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 8, 0], '3': [1, 0], '5': 'a', '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [2, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2175.j1'}
• ec_torsion_growth •

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

  
  
  • id: 110498
    {'degree': 3, 'field': [-15, -5, -1, 1], 'lmfdb_label': '2175.j1', 'torsion': [2]}
  • id: 110499
    {'degree': 4, 'field': [1, -1, 1, -1, 1], 'lmfdb_label': '2175.j1', 'torsion': [5]}
  • id: 110500
    {'degree': 6, 'field': [1335, 750, 379, 64, -3, -2, 1], 'lmfdb_label': '2175.j1', 'torsion': [2, 2]}
  • id: 110501
    {'degree': 8, 'field': [-8419, -1316, 992, 647, -320, -7, 7, -4, 1], 'lmfdb_label': '2175.j1', 'torsion': [3]}
  • id: 110502
    {'degree': 10, 'field': [-75541, -112823, 100222, 25045, -12129, -476, 168, -14, 11, -5, 1], 'lmfdb_label': '2175.j1', 'torsion': [5]}
  • id: 110503
    {'degree': 12, 'field': [-5125025, -3055150, 785900, -8700, -126545, 84280, -12500, 4060, -1109, 186, -4, -4, 1], 'lmfdb_label': '2175.j1', 'torsion': [4]}
  • id: 110504
    {'degree': 12, 'field': [961, -2542, 3616, -3227, 2563, -1504, 861, -368, 167, -51, 17, -3, 1], 'lmfdb_label': '2175.j1', 'torsion': [10]}
  • id: 110505
    {'degree': 20, 'field': [9759362000, -103823000, 208087800, -209414140, 107363041, -5536610, 9068700, -12779935, 11349021, -5253010, 767265, 281925, -152554, 47865, -5885, -760, 401, -165, 50, -10, 1], 'lmfdb_label': '2175.j1', 'torsion': [5, 5]}
• 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: 36338
    {'conductor': 2175, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2175.j1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 36339
    {'conductor': 2175, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '2175.j1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 36340
    {'conductor': 2175, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2175.j1', 'prime': 29, '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: 1678136
    {'adelic_gens': [[581, 10, 295, 51], [863, 860, 805, 429], [1, 0, 10, 1], [1, 10, 0, 1], [31, 10, 155, 51], [6, 13, 815, 751], [861, 10, 860, 11]], 'adelic_image': '870.48.1.?', 'conductor': 2175, 'lmfdb_label': '2175.j1', 'prime': 0}
  • id: 10698
    {'conductor': 2175, 'elladic_image': '5.24.0.4', 'lmfdb_label': '2175.j1', 'modell_image': '5B.1.3', 'prime': 5}
• ec_padic •

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

  
  
  • id: 64762
    {'lmfdb_iso': '2175.j', 'p': 7, 'prec': 20, 'unit': 500918243345976, 'val': 2}
  • id: 64760
    {'lmfdb_iso': '2175.j', 'p': 11, 'prec': 20, 'unit': 32630376394878001715, 'val': 1}
  • id: 64765
    {'lmfdb_iso': '2175.j', 'p': 13, 'prec': 20, 'unit': 1384656816929461735566, 'val': 1}
  • id: 64767
    {'lmfdb_iso': '2175.j', 'p': 17, 'prec': 20, 'unit': 100858907321934715099409, 'val': 1}
  • id: 64772
    {'lmfdb_iso': '2175.j', 'p': 23, 'prec': 20, 'unit': 918834017203392628594438549, 'val': -1}
  • id: 64777
    {'lmfdb_iso': '2175.j', 'p': 31, 'prec': 20, 'unit': 4950019471493671987975058607, 'val': 1}
  • id: 64761
    {'lmfdb_iso': '2175.j', 'p': 37, 'prec': 20, 'unit': 411039347274523222934895553526, 'val': 1}
  • id: 64763
    {'lmfdb_iso': '2175.j', 'p': 41, 'prec': 20, 'unit': 1813311785934139997395368203837, 'val': 1}
  • id: 64764
    {'lmfdb_iso': '2175.j', 'p': 43, 'prec': 20, 'unit': 2612843823712480682185307892873, 'val': 1}
  • id: 64775
    {'lmfdb_iso': '2175.j', 'p': 47, 'prec': 20, 'unit': 28126430723835026468794771597099, 'val': 1}
  • id: 64769
    {'lmfdb_iso': '2175.j', 'p': 53, 'prec': 20, 'unit': 295585667514845423144946195289053, 'val': 1}
  • id: 64770
    {'lmfdb_iso': '2175.j', 'p': 59, 'prec': 20, 'unit': 353468451452913922507448557231449, 'val': 1}
  • id: 64776
    {'lmfdb_iso': '2175.j', 'p': 61, 'prec': 20, 'unit': 7202323656393705207331550544656140, 'val': 1}
  • id: 64759
    {'lmfdb_iso': '2175.j', 'p': 67, 'prec': 20, 'unit': 21256384968210471806487622494524693, 'val': 1}
  • id: 64774
    {'lmfdb_iso': '2175.j', 'p': 71, 'prec': 20, 'unit': 75423012183214595147416753750463194, 'val': 1}
  • id: 64771
    {'lmfdb_iso': '2175.j', 'p': 73, 'prec': 20, 'unit': 17601475349215044579249151813989167613, 'val': -1}
  • id: 64766
    {'lmfdb_iso': '2175.j', 'p': 79, 'prec': 20, 'unit': 379535619612337163940624647293415137, 'val': 1}
  • id: 64768
    {'lmfdb_iso': '2175.j', 'p': 83, 'prec': 20, 'unit': 133176749815786559524719718792962815, 'val': 1}
  • id: 64773
    {'lmfdb_iso': '2175.j', 'p': 89, 'prec': 20, 'unit': 7631666039799541696491579568886678921, 'val': 1}
  • id: 64758
    {'lmfdb_iso': '2175.j', 'p': 97, 'prec': 20, 'unit': 17140048811011252393718777799349954184, 'val': 1}