Elliptic curve data - 435.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
  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': '435c', 'Clabel': '435c3', 'Cnumber': 3, 'abc_quality': 0.9326096349802515, 'absD': 31827645, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1160, 'ainvs': [1, 0, 1, -258, -1589], 'analytic_rank': 0, 'bad_primes': [3, 5, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 435, 'degree': 192, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.23765065456458309141857129959', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [1888690601881, 31827645], 'lmfdb_iso': '435.d', 'lmfdb_label': '435.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -258, -1589], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '10.6.0.a.1', '20.24.0-20.g.1.1', '232.24.0.?', '1160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 5], [3, 4, 145], [5, 6, 87], [29, 30, 15]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.23765065456458309141857129959', 'prec': 103}, 'szpiro_ratio': 4.652723442749832, '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, 1, 1, 4, -3, 1, 1, -4, -1, 6, 4, 1, -1, 6, 1, -4, -1], 'aplist': [1, 1, 1, 4, -4, 6, 6, -4, -4, 1, -8, 2, -6, 4, 0, -10, -12, -10, 8, -8, -2, 0, 8, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 435, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '435.d', 'trace_hash': 1286679930319608340}
• 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': '0.62169770504697887207911146596', 'prec': 103}, 'conductor': 435, 'gens': [], 'heights': [], 'lmfdb_label': '435.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.1929997126795538912509635872', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3859994253591077825019271743884520612', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-41, 37, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 2], '3': [3, 0], '5': [1, 0], '29': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '435.d1'}
• ec_torsion_growth •

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

  
  
  • id: 18972
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '435.d1', 'torsion': [2, 2]}
  • id: 18973
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '435.d1', 'torsion': [4]}
  • id: 18974
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '435.d1', 'torsion': [4]}
  • id: 18975
    {'degree': 4, 'field': [-45, 0, 0, 0, 1], 'lmfdb_label': '435.d1', 'torsion': [2, 4]}
  • id: 18976
    {'degree': 4, 'field': [1, 0, 3, 0, 1], 'lmfdb_label': '435.d1', 'torsion': [2, 4]}
  • id: 18980
    {'degree': 8, 'field': [-3, 0, -37, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '435.d1', 'torsion': [6]}
  • id: 18977
    {'degree': 8, 'field': [121, 22, 2, -50, 31, -10, 8, -4, 1], 'lmfdb_label': '435.d1', 'torsion': [4, 4]}
  • id: 18978
    {'degree': 8, 'field': [2916, 0, -1112, 0, 144, 0, -12, 0, 1], 'lmfdb_label': '435.d1', 'torsion': [8]}
  • id: 18979
    {'degree': 8, 'field': [87025, 0, 163400, 0, 10590, 0, 200, 0, 1], 'lmfdb_label': '435.d1', 'torsion': [8]}
  • id: 18981
    {'degree': 16, 'field': [-81449, -45720, 40852, 43200, 2008, 7560, 5344, -4320, -3935, 0, -596, -720, -62, 0, -8, 0, 1], 'lmfdb_label': '435.d1', 'torsion': [2, 8]}
  • id: 18984
    {'degree': 16, 'field': [9, 0, 333, 0, 1495, 0, 666, 0, -105, 0, -666, 0, -42, 0, 0, 0, 1], 'lmfdb_label': '435.d1', 'torsion': [2, 6]}
  • id: 18983
    {'degree': 16, 'field': [625, 0, 0, 0, 2925, 0, 0, 0, 1696, 0, 0, 0, 117, 0, 0, 0, 1], 'lmfdb_label': '435.d1', 'torsion': [2, 8]}
  • id: 18985
    {'degree': 16, 'field': [2025, 0, 4050, 0, 2025, 0, -776, 0, -658, 0, 154, 0, 16, 0, 8, 0, 1], 'lmfdb_label': '435.d1', 'torsion': [12]}
  • id: 18986
    {'degree': 16, 'field': [431649, 0, 139482, 0, 434025, 0, 244904, 0, 53690, 0, 7046, 0, 688, 0, 40, 0, 1], 'lmfdb_label': '435.d1', 'torsion': [12]}
  • id: 18982
    {'degree': 16, 'field': [1431688681, -897487380, -453520878, 152106480, 132308248, -63324000, 19639134, -1143000, 2774085, -331200, 6354, -720, 3388, -180, 12, 0, 1], 'lmfdb_label': '435.d1', '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: 4552
    {'conductor': 435, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '435.d1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4553
    {'conductor': 435, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '435.d1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4554
    {'conductor': 435, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '435.d1', 'prime': 29, '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: 1667682
    {'adelic_gens': [[443, 436, 482, 1021], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [936, 3, 5, 2], [7, 6, 1154, 1155], [1019, 1018, 738, 155], [1153, 8, 1152, 9], [321, 8, 124, 33]], 'adelic_image': '1160.48.0.?', 'conductor': 435, 'lmfdb_label': '435.d1', 'prime': 0}
  • id: 1863
    {'conductor': 435, 'elladic_image': '4.12.0.8', 'lmfdb_label': '435.d1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 435.d does not appear in ec_padic