Elliptic curve data - 259350.gi2

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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': '259350gi', 'Clabel': '259350gi2', 'Cnumber': 2, 'abc_quality': 0.8934711884733957, 'absD': 19701283661718750, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 207480, 'ainvs': [1, 0, 0, -154438, -24329758], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 259350, 'degree': 2457600, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8886895261150031902257314836', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 164, 'isogeny_degrees': [1, 2], 'jinv': [-26071520989028761, 1260882154350], 'lmfdb_iso': '259350.gi', 'lmfdb_label': '259350.gi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -6177, -197109], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.b.1', '14820.6.0.?', '207480.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0839705698979530029253518170', 'prec': 100}, 'szpiro_ratio': 3.81331312067647, '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, 1, 1, 0, 1, -2, 1, 1, 0], 'aplist': [1, 1, 0, 1, -4, 1, -2, 1, 0, -6, 0, 4, 0, -2, -2, 12, -4, 14, 2, 0, 6, -4, -8, 8, -16], 'class_deg': 2, 'class_size': 2, 'conductor': 259350, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '259350.gi', 'trace_hash': 862227352393102372}
• 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': '0.022882586964542067987348154536', 'prec': 107}, 'conductor': 259350, 'gens': [], 'heights': [], 'lmfdb_label': '259350.gi2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12007640733793532713213870895', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8030562935174130852855483578764787546', 'prec': 130}, 'tamagawa_product': 160, 'torsion_generators': [[1823, -1823, 2]], 'xcoord_integral_points': []}
• lmfdb_label 259350.gi2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11122919
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '259350.gi2', 'torsion': [2, 2]}
  • id: 11122920
    {'degree': 4, 'field': [-1694, 0, 163, 0, 1], 'lmfdb_label': '259350.gi2', 'torsion': [4]}
  • id: 11122923
    {'degree': 8, 'field': [-44042976, 581616, 2165640, -672, -23700, -602, 42, 0, 1], 'lmfdb_label': '259350.gi2', 'torsion': [6]}
  • id: 11122922
    {'degree': 8, 'field': [3503250, 1128600, -244980, -34200, 16549, -148, -142, -4, 1], 'lmfdb_label': '259350.gi2', 'torsion': [2, 4]}
  • id: 11122921
    {'degree': 8, 'field': [14288400, 0, 423360, 0, 28921, 0, 382, 0, 1], 'lmfdb_label': '259350.gi2', 'torsion': [2, 4]}
  • id: 11122925
    {'degree': 16, 'field': [181818687488256, 0, 26423497350432, 0, 777520215108, 0, 1475441744, 0, 340808720, 0, -1878436, 0, 9688, 0, 112, 0, 1], 'lmfdb_label': '259350.gi2', 'torsion': [2, 6]}
  • id: 11122924
    {'degree': 16, 'field': [2880863038482664001536, 0, 40352865154095495232, 0, 172310572971434128, 0, 324297485530144, 0, -574989595880, 0, -3958242116, 0, 1198513, 0, 3442, 0, 1], 'lmfdb_label': '259350.gi2', '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: 6429550
    {'conductor': 259350, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '259350.gi2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6429551
    {'conductor': 259350, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '259350.gi2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 6429552
    {'conductor': 259350, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '259350.gi2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6429553
    {'conductor': 259350, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '259350.gi2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6429554
    {'conductor': 259350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '259350.gi2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6429555
    {'conductor': 259350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '259350.gi2', '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: 3307401
    {'adelic_gens': [[1, 2, 2, 5], [41497, 4, 82994, 9], [163801, 4, 120122, 9], [1, 4, 0, 1], [25937, 181546, 181544, 25935], [69161, 4, 138322, 9], [59282, 1, 177839, 0], [2, 1, 103739, 0], [47881, 4, 95762, 9], [1, 0, 4, 1], [207477, 4, 207476, 5], [3, 4, 8, 11]], 'adelic_image': '207480.12.0.?', 'conductor': 259350, 'lmfdb_label': '259350.gi2', 'prime': 0}
  • id: 931579
    {'conductor': 259350, 'elladic_image': '2.3.0.1', 'lmfdb_label': '259350.gi2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 259350.gi does not appear in ec_padic