Elliptic curve data - 31734.l1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '31734m', 'Clabel': '31734m1', 'Cnumber': 1, 'abc_quality': 0.9349811587715462, 'absD': 588342581905014, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 14104, 'ainvs': [1, -1, 1, 19912, 433473], 'analytic_rank': 0, 'bad_primes': [2, 3, 41, 43], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 31734, 'degree': 115200, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5227287899017007166562517025', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1], 'jinv': [1197736492998599, 807054296166], 'lmfdb_iso': '31734.l', 'lmfdb_label': '31734.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 2213, -15317], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['14104.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 15867], [3, 8, 3526], [5, 2, 774], [41, 42, 774], [43, 44, 738]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97342264556764587095862908404', 'prec': 103}, 'szpiro_ratio': 3.9855581248673064, '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, -1, 0, 0, 1, 0, -1, -1, 0, -3, 0, 0, 1, 0, 0, 8, -1], 'aplist': [1, 0, -1, 0, -1, -3, 0, 8, 9, -2, 3, 2, 1, -1, -12, 2, 8, -1, -4, 3, 10, -10, -2, -1, 8], 'class_deg': 1, 'class_size': 1, 'conductor': 31734, 'isogeny_matrix': [[1]], 'lmfdb_iso': '31734.l', 'trace_hash': 1137427282471391583}
• 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': '0.047574537858529180197103317025', 'prec': 107}, 'conductor': 31734, 'gens': [], 'heights': [], 'lmfdb_label': '31734.l1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.32466957300591014098572728559', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2466957300591014098572728559385565169', 'prec': 130}, 'tamagawa_product': 10, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [15, 0], '3': 'a', '5': [2, 0], '7': [0, 0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [1, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '31734.l1'}
• ec_torsion_growth •

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

  
  
  • id: 1581462
    {'degree': 3, 'field': [-42, 13, 0, 1], 'lmfdb_label': '31734.l1', 'torsion': [2]}
  • id: 1581463
    {'degree': 6, 'field': [56416, 0, 1521, 0, 78, 0, 1], 'lmfdb_label': '31734.l1', 'torsion': [2, 2]}
  • id: 1581464
    {'degree': 8, 'field': [-1069227, 0, 115944, 0, -3582, 0, 0, 0, 1], 'lmfdb_label': '31734.l1', 'torsion': [3]}
  • id: 1581465
    {'degree': 12, 'field': [728836, -522904, -292526, -345104, -21092, -22036, -13441, 1076, 1813, -188, -35, -4, 1], 'lmfdb_label': '31734.l1', '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: 741105
    {'conductor': 31734, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '31734.l1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 741106
    {'conductor': 31734, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '31734.l1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 741107
    {'conductor': 31734, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '31734.l1', 'prime': 41, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 741108
    {'conductor': 31734, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '31734.l1', 'prime': 43, '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': [[3527, 2, 0, 1], [14103, 2, 14102, 3], [5249, 2, 5249, 3], [1, 0, 2, 1], [1, 2, 0, 1], [2753, 2, 2753, 3], [7053, 2, 7053, 3], [1, 1, 14103, 0]], 'adelic_image': '14104.2.0.?', 'conductor': 31734, 'lmfdb_label': '31734.l1', 'prime': 0}
• lmfdb_iso 31734.l does not appear in ec_padic