Elliptic curve data - 365040.t2

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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': '365040t', 'Clabel': '365040t1', 'Cnumber': 1, 'abc_quality': 0.932027446508081, 'absD': 140958268588800, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 12, 'ainvs': [0, 0, 0, -744783, -247395382], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 365040, 'degree': 3234816, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9413940003924173583256496455', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 3], 'jinv': [8103309552, 25], 'lmfdb_iso': '365040.t', 'lmfdb_label': '365040.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -39663, -3040362], 'min_quad_twist_disc': 156, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.2', '12.16.0-12.b.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 4563], [3, 6, 13520], [5, 6, 73008], [13, 74, 2160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50532343045559809483697470575', 'prec': 107}, 'szpiro_ratio': 4.0737910880686465, '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, 0, 0, 0, -1, 0, -2, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, 0, -1, -2, -3, 0, 0, -2, 9, -6, -8, 2, 12, -8, -3, 12, 3, -10, -2, 0, -13, 16, 9, 12, -1], 'class_deg': 3, 'class_size': 2, 'conductor': 365040, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '365040.t', 'trace_hash': 342710117847073892}
• 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': '0.020593330849262163392640986327', 'prec': 107}, 'conductor': 365040, 'gens': [], 'heights': [], 'lmfdb_label': '365040.t2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16251453003835555020651079396', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.97508718023013330123906476373572047150', 'prec': 133}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 365040.t2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15172474
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '365040.t2', 'torsion': [3]}
  • id: 15172475
    {'degree': 3, 'field': [-78, -39, 0, 1], 'lmfdb_label': '365040.t2', 'torsion': [2]}
  • id: 15172476
    {'degree': 6, 'field': [-300, 0, 204, 0, -27, 0, 1], 'lmfdb_label': '365040.t2', 'torsion': [2, 2]}
  • id: 15172478
    {'degree': 6, 'field': [2197, 0, 0, -78, 0, 0, 1], 'lmfdb_label': '365040.t2', 'torsion': [6]}
  • id: 15172477
    {'degree': 6, 'field': [16873, -2340, 27, -260, -9, 0, 1], 'lmfdb_label': '365040.t2', 'torsion': [3]}
  • id: 15172479
    {'degree': 12, 'field': [12, 0, 36324, 0, -3972, 0, -2076, 0, -513, 0, 15, 0, 1], 'lmfdb_label': '365040.t2', 'torsion': [4]}
  • id: 15172481
    {'degree': 12, 'field': [6241, 0, -3111, 0, 23454, 0, -7663, 0, 954, 0, -51, 0, 1], 'lmfdb_label': '365040.t2', 'torsion': [2, 6]}
  • id: 15172480
    {'degree': 12, 'field': [285643801, -13182780, 557697, -8790860, 152106, 5460, 101393, 0, 6, -520, -3, 0, 1], 'lmfdb_label': '365040.t2', 'torsion': [3, 3]}
  • id: 15172483
    {'degree': 18, 'field': [-211013804, 589085784, -308597592, -118697772, 139111578, -12385818, -22467399, 3250404, 4796508, -2571562, 509175, -62580, 7098, 2034, -1593, 444, -36, -6, 1], 'lmfdb_label': '365040.t2', 'torsion': [2, 6]}
  • id: 15172482
    {'degree': 18, 'field': [1518005000, 2859690000, 2693610000, 577624000, -191409000, -145656000, 175147600, -35590800, 5742000, -2211540, 1174920, -185580, 18818, -4704, 2196, -194, 0, 0, 1], 'lmfdb_label': '365040.t2', 'torsion': [9]}
• 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: 9031209
    {'conductor': 365040, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '365040.t2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9031210
    {'conductor': 365040, 'conductor_valuation': 3, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '365040.t2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9031211
    {'conductor': 365040, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '365040.t2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9031212
    {'conductor': 365040, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '365040.t2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3937661
    {'adelic_gens': [[1, 0, 6, 1], [4, 3, 9, 7], [7, 6, 6, 7], [3, 4, 8, 11], [1, 6, 0, 1], [9, 10, 2, 5], [6, 1, 7, 6], [5, 6, 3, 5]], 'adelic_image': '12.16.0.?', 'conductor': 365040, 'lmfdb_label': '365040.t2', 'prime': 0}
  • id: 1255883
    {'conductor': 365040, 'elladic_image': '3.4.0.1', 'lmfdb_label': '365040.t2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 365040.t does not appear in ec_padic