Elliptic curve data - 13260.e2

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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': '13260a', 'Clabel': '13260a2', 'Cnumber': 2, 'abc_quality': 0.9456866456199285, 'absD': 27473062500000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26520, 'ainvs': [0, -1, 0, -53836, -9293960], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 13260, 'degree': 92160, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8455241131801606862005010025', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [-67407802159923664, 107316650390625], 'lmfdb_iso': '13260.e', 'lmfdb_label': '13260.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -53836, -9293960], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '52.12.0.d.1', '408.12.0.?', '520.24.0.?', '5304.24.0.?', '26520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 884], [5, 6, 2652], [13, 14, 1020], [17, 18, 780]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3834259928068638132556795882', 'prec': 100}, 'szpiro_ratio': 4.805553775384849, '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, 0, -1, 0, -1, 0, 2, 0, 1, 0, 2, 0, -1, 0, 1, 0, -1, 0, -2, 0], 'aplist': [0, -1, -1, 2, 2, -1, -1, -2, 4, 2, 10, 6, 2, -8, 2, 6, -10, -2, -14, -2, 14, 12, 14, -10, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 13260, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '13260.e', 'trace_hash': 10111133162946674}
• 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': '0.024945839446022539377609907209', 'prec': 107}, 'conductor': 13260, 'gens': [], 'heights': [], 'lmfdb_label': '13260.e2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14846553166227514963092818482', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7815863799473017955711382178702881738', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[293, 0, 1]], 'xcoord_integral_points': [293]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [0, 0], '13': [0, 0], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '13260.e2'}
• ec_torsion_growth •

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

  
  
  • id: 684021
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '13260.e2', 'torsion': [2, 2]}
  • id: 684022
    {'degree': 4, 'field': [-1, 0, -3, 0, 1], 'lmfdb_label': '13260.e2', 'torsion': [4]}
  • id: 684025
    {'degree': 8, 'field': [2, -35, 26, 17, -5, -7, 7, -4, 1], 'lmfdb_label': '13260.e2', 'torsion': [6]}
  • id: 684024
    {'degree': 8, 'field': [9, -6, 2, -10, 7, -6, 8, -4, 1], 'lmfdb_label': '13260.e2', 'torsion': [2, 4]}
  • id: 684023
    {'degree': 8, 'field': [5755609, 528564, -8348, -12044, 5630, 188, 12, -4, 1], 'lmfdb_label': '13260.e2', 'torsion': [2, 4]}
  • id: 684028
    {'degree': 16, 'field': [4, 0, 1121, 0, 1846, 0, 1011, 0, 351, 0, -69, 0, -17, 0, 2, 0, 1], 'lmfdb_label': '13260.e2', 'torsion': [2, 6]}
  • id: 684027
    {'degree': 16, 'field': [77846022081, 0, -10958660140, 0, 378639432, 0, -41736012, 0, 6725054, 0, -73172, 0, -6456, 0, 12, 0, 1], 'lmfdb_label': '13260.e2', 'torsion': [8]}
  • id: 684026
    {'degree': 16, 'field': [46155895078969, 0, 632003891376, 0, 70157189210, 0, 404663652, 0, 41241435, 0, 31140, 0, 10454, 0, -12, 0, 1], 'lmfdb_label': '13260.e2', 'torsion': [4, 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: 289021
    {'conductor': 13260, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '13260.e2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 289022
    {'conductor': 13260, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '13260.e2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 289023
    {'conductor': 13260, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '13260.e2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 289024
    {'conductor': 13260, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '13260.e2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 289025
    {'conductor': 13260, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '13260.e2', 'prime': 17, '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: 1752090
    {'adelic_gens': [[21217, 4, 0, 1], [13261, 8, 2, 17], [26513, 8, 26512, 9], [17681, 8, 8842, 17], [1, 0, 8, 1], [5, 8, 48, 77], [19891, 4, 23207, 9], [3, 8, 10, 27], [12481, 8, 24962, 17], [24481, 6, 0, 1], [1, 8, 0, 1]], 'adelic_image': '26520.48.0.?', 'conductor': 13260, 'lmfdb_label': '13260.e2', 'prime': 0}
  • id: 62978
    {'conductor': 13260, 'elladic_image': '4.6.0.5', 'lmfdb_label': '13260.e2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 13260.e does not appear in ec_padic