Elliptic curve data - 11055.c1

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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': '11055c', 'Clabel': '11055c3', 'Cnumber': 3, 'abc_quality': 0.9697034959062909, 'absD': 215430675405, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8040, 'ainvs': [1, 1, 1, -5665, -164950], 'analytic_rank': 0, 'bad_primes': [3, 5, 11, 67], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 11055, 'degree': 12800, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.99035348991990328153387487841', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [20106118884162961, 215430675405], 'lmfdb_iso': '11055.c', 'lmfdb_label': '11055.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5665, -164950], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '20.12.0-4.c.1.1', '40.24.0-40.ba.1.2', '804.12.0.?', '1608.24.0.?', '2010.6.0.?', '4020.24.0.?', '8040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1005], [3, 4, 3685], [5, 6, 2211], [11, 12, 1005], [67, 68, 165]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.99035348991990328153387487841', 'prec': 103}, 'szpiro_ratio': 4.031925654246443, '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, 1, 1, 0, 3, 1, -1, -1, 1, 2, 0, -1, -1, -2, -1, 4, -1], 'aplist': [-1, -1, 1, 0, -1, 2, -2, 4, 0, 6, -4, 6, 10, 12, 0, 6, 0, -10, -1, -4, -14, -4, -12, 18, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 11055, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '11055.c', 'trace_hash': 1305700318212057897}
• 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': '0.13797165964040374325451977750', 'prec': 103}, 'conductor': 11055, 'gens': [], 'heights': [], 'lmfdb_label': '11055.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.55065589092300532461771867974', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1013117818460106492354373594848025027', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[-189, 185, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 2], '3': [0, 0], '5': [1, 0], '11': [0, 0], '67': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '11055.c1'}
• ec_torsion_growth •

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

  
  
  • id: 573593
    {'degree': 2, 'field': [-251, -1, 1], 'lmfdb_label': '11055.c1', 'torsion': [2, 2]}
  • id: 573594
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '11055.c1', 'torsion': [4]}
  • id: 573595
    {'degree': 2, 'field': [201, 0, 1], 'lmfdb_label': '11055.c1', 'torsion': [4]}
  • id: 573597
    {'degree': 4, 'field': [1005, 0, 40, 0, 1], 'lmfdb_label': '11055.c1', 'torsion': [8]}
  • id: 573596
    {'degree': 4, 'field': [2401, 0, 103, 0, 1], 'lmfdb_label': '11055.c1', 'torsion': [2, 4]}
  • id: 573601
    {'degree': 8, 'field': [-1875, 0, -4025, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '11055.c1', 'torsion': [6]}
  • id: 573598
    {'degree': 8, 'field': [1002991, 16084, -18088, 4012, -2015, 8, 2, -4, 1], 'lmfdb_label': '11055.c1', 'torsion': [2, 4]}
  • id: 573600
    {'degree': 8, 'field': [2265025, 0, -241400, 0, 7635, 0, -80, 0, 1], 'lmfdb_label': '11055.c1', 'torsion': [2, 8]}
  • id: 573599
    {'degree': 8, 'field': [16160400, 0, 0, 0, 32361, 0, 0, 0, 1], 'lmfdb_label': '11055.c1', 'torsion': [8]}
  • id: 573606
    {'degree': 16, 'field': [228765625, 0, 91506250, 0, 9150625, 0, 6225000, 0, 713250, 0, 1950, 0, 400, 0, 40, 0, 1], 'lmfdb_label': '11055.c1', 'torsion': [12]}
  • id: 573602
    {'degree': 16, 'field': [3969756036, 0, 388801872, 0, 83618868, 0, 2608284, 0, 322885, 0, 1924, 0, 1038, 0, -8, 0, 1], 'lmfdb_label': '11055.c1', 'torsion': [4, 4]}
  • id: 573604
    {'degree': 16, 'field': [1020150500625, 0, 162412020000, 0, 23533582500, 0, 2108932200, 0, 95144355, 0, 2098440, 0, 23300, 0, 160, 0, 1], 'lmfdb_label': '11055.c1', 'torsion': [16]}
  • id: 573605
    {'degree': 16, 'field': [4852437980625, 0, 581224332000, 0, 19872553150, 0, 940500600, 0, 4646775, 0, -2080360, 0, -30450, 0, 0, 0, 1], 'lmfdb_label': '11055.c1', 'torsion': [2, 6]}
  • id: 573607
    {'degree': 16, 'field': [26665088630625, 0, -1637217090000, 0, -49804629500, 0, 1290572250, 0, 78368550, 0, 2606960, 0, 52161, 0, 402, 0, 1], 'lmfdb_label': '11055.c1', 'torsion': [12]}
  • id: 573603
    {'degree': 16, 'field': [264821102090449, -51956187130788, -4194726864270, 312909644400, 1055004713728, -117898315584, 7522455294, -91435704, 1078294845, -29246304, 129186, -3216, 64780, -804, 12, 0, 1], 'lmfdb_label': '11055.c1', 'torsion': [2, 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: 236681
    {'conductor': 11055, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11055.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 236682
    {'conductor': 11055, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11055.c1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 236683
    {'conductor': 11055, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '11055.c1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 236684
    {'conductor': 11055, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11055.c1', 'prime': 67, '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

  
  
  • id: 1737302
    {'adelic_gens': [[7043, 7036, 7082, 3021], [3019, 3018, 1018, 5035], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [5368, 3, 5365, 2], [8033, 8, 8032, 9], [1088, 3, 1685, 2], [7, 6, 8034, 8035], [4828, 1, 1631, 6]], 'adelic_image': '8040.48.0.?', 'conductor': 11055, 'lmfdb_label': '11055.c1', 'prime': 0}
  • id: 53261
    {'conductor': 11055, 'elladic_image': '8.12.0.6', 'lmfdb_label': '11055.c1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 11055.c does not appear in ec_padic