Elliptic curve data - 64350.g2

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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': '64350by', 'Clabel': '64350by1', 'Cnumber': 1, 'abc_quality': 0.8703475134803965, 'absD': 108416880000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5720, 'ainvs': [1, -1, 0, -30942, -2146284], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 64350, 'degree': 276480, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4677493349785656773223239878', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [-287626699801, 9518080], 'lmfdb_iso': '64350.g', 'lmfdb_label': '64350.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -137, 581], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '104.6.0.?', '110.6.0.?', '5720.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2475], [3, 6, 7150], [5, 18, 1287], [11, 12, 5850], [13, 14, 4950]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11372423442746064432432170273', 'prec': 103}, 'szpiro_ratio': 3.855534900221718, '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, 0, 1, 0, 0, -4, -1, 0, 0, 1, 0, 1, 4, 0, 1, 2, 0, 0, 0], 'aplist': [-1, 0, 0, -4, 1, 1, 2, 0, 0, -8, 8, 2, 0, -4, -6, -8, -4, -8, -8, 8, -10, -4, 4, 10, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 64350, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '64350.g', 'trace_hash': 104830547905423311}
• 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': '0.053104231217835800268333658841', 'prec': 107}, 'conductor': 64350, 'gens': [], 'heights': [], 'lmfdb_label': '64350.g2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17963337316451291524703327374', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.71853349265805166098813309497957383878', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[204, -102, 1]], 'xcoord_integral_points': [204]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': 'a', '11': [1, 0], '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '64350.g2'}
• ec_torsion_growth •

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

  
  
  • id: 3075151
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '64350.g2', 'torsion': [2, 2]}
  • id: 3075152
    {'degree': 4, 'field': [-767, -26, 27, -2, 1], 'lmfdb_label': '64350.g2', 'torsion': [4]}
  • id: 3075155
    {'degree': 8, 'field': [238280, 189150, 40309, 2657, 1500, 355, -10, -3, 1], 'lmfdb_label': '64350.g2', 'torsion': [6]}
  • id: 3075153
    {'degree': 8, 'field': [342796, -33128, 1875, -8458, 1019, -52, 45, -2, 1], 'lmfdb_label': '64350.g2', 'torsion': [2, 4]}
  • id: 3075154
    {'degree': 8, 'field': [874225, 0, 106810, 0, 939, 0, 106, 0, 1], 'lmfdb_label': '64350.g2', 'torsion': [2, 4]}
  • id: 3075157
    {'degree': 16, 'field': [43204278034, 37718431555, 7829125748, -1379544105, 134996945, 366024581, 25335739, -12555906, 2749405, 650985, -96362, 9127, 2327, -105, 35, -4, 1], 'lmfdb_label': '64350.g2', 'torsion': [2, 6]}
  • id: 3075156
    {'degree': 16, 'field': [339550847935, 39056995120, -64622266644, 53759977544, -33556057912, 8299639608, -3251353976, 423973576, -116519571, 7010008, -1393052, -6816, 2774, -784, 132, -8, 1], 'lmfdb_label': '64350.g2', '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: 1553957
    {'conductor': 64350, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '64350.g2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1553958
    {'conductor': 64350, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '64350.g2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1553959
    {'conductor': 64350, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '64350.g2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1553960
    {'conductor': 64350, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '64350.g2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1553961
    {'conductor': 64350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '64350.g2', 'prime': 13, '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: 2090503
    {'adelic_gens': [[1, 0, 4, 1], [5717, 4, 5716, 5], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2641, 4, 5282, 9], [2861, 4, 2, 9], [4162, 1, 3639, 0], [3434, 1, 1143, 0], [3577, 2146, 2144, 3575]], 'adelic_image': '5720.12.0.?', 'conductor': 64350, 'lmfdb_label': '64350.g2', 'prime': 0}
  • id: 270228
    {'conductor': 64350, 'elladic_image': '2.3.0.1', 'lmfdb_label': '64350.g2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 64350.g does not appear in ec_padic