Elliptic curve data - 111600.cq2

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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': '111600ck', 'Clabel': '111600ck2', 'Cnumber': 2, 'abc_quality': 0.9749204621313927, 'absD': 600449283072000000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 3720, 'ainvs': [0, 0, 0, 2018925, 413255250], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 111600, 'degree': 3483648, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6758219610735185695826884152', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 68, 'isogeny_degrees': [1, 3], 'jinv': [722458663317, 476656000], 'lmfdb_iso': '111600.cq', 'lmfdb_label': '111600.cq2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 561, 1773], 'min_quad_twist_disc': 60, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '60.8.0-3.a.1.1', '744.8.0.?', '3720.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2325], [3, 2, 400], [5, 18, 4464], [31, 32, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.35399660779544080431864269944', 'prec': 103}, 'szpiro_ratio': 4.746568580243087, '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, 0, 0, -1, 0, 0, 0, -3, 0, 4, 0, 0, 0, 6, 0, 1, 0], 'aplist': [0, 0, 0, -1, -3, 4, 6, 1, -3, 0, -1, 4, 0, -1, -12, -9, 0, -10, -10, -15, 7, -5, -6, 15, 16], 'class_deg': 3, 'class_size': 2, 'conductor': 111600, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '111600.cq', 'trace_hash': 71975965017330997}
• 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': '0.0047403518212033858816731498327', 'prec': 110}, 'conductor': 111600, 'gens': [], 'heights': [], 'lmfdb_label': '111600.cq2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10211199462039805404260047013', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6337919139263688646816075220928695730', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [2, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '111600.cq2'}
• ec_torsion_growth •

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

  
  
  • id: 5135922
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '111600.cq2', 'torsion': [3]}
  • id: 5135923
    {'degree': 3, 'field': [30, 10, -1, 1], 'lmfdb_label': '111600.cq2', 'torsion': [2]}
  • id: 5135926
    {'degree': 6, 'field': [-60, 0, 49, 0, -14, 0, 1], 'lmfdb_label': '111600.cq2', 'torsion': [6]}
  • id: 5135925
    {'degree': 6, 'field': [54, 0, 0, -14, 0, 0, 1], 'lmfdb_label': '111600.cq2', 'torsion': [3]}
  • id: 5135924
    {'degree': 6, 'field': [1296, -432, 1038, -84, 13, -2, 1], 'lmfdb_label': '111600.cq2', 'torsion': [2, 2]}
  • id: 5135927
    {'degree': 12, 'field': [-41008832, 19684608, -12462576, -3879872, 1489944, -79104, 3960, -2640, -564, -80, 18, 0, 1], 'lmfdb_label': '111600.cq2', 'torsion': [4]}
  • id: 5135928
    {'degree': 12, 'field': [2809, -6360, 6549, -3960, 1968, -912, 355, -66, 6, -18, 15, -6, 1], 'lmfdb_label': '111600.cq2', 'torsion': [3, 3]}
  • id: 5135929
    {'degree': 12, 'field': [602400, 1776000, 2550640, 550640, 126204, 40816, 2504, 2748, 317, 40, 18, -4, 1], 'lmfdb_label': '111600.cq2', 'torsion': [2, 6]}
  • id: 5135930
    {'degree': 18, 'field': [-5970830493275, 3236685454200, 2120846106150, 3010836078570, 804987412260, 31517050860, -50586212829, -9700985310, -113615784, 532129880, 111360765, -14996250, -3943140, 202740, 60345, -930, -429, 0, 1], 'lmfdb_label': '111600.cq2', 'torsion': [9]}
  • id: 5135931
    {'degree': 18, 'field': [5832000, 0, 4762800, 0, 192780, 0, -677799, 0, 143766, 0, -6489, 0, -3576, 0, 735, 0, -42, 0, 1], 'lmfdb_label': '111600.cq2', 'torsion': [6]}
• 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: 2744991
    {'conductor': 111600, 'conductor_valuation': 4, 'discriminant_valuation': 19, 'j_denominator_valuation': 7, 'kodaira_symbol': -15, 'lmfdb_label': '111600.cq2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2744992
    {'conductor': 111600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '111600.cq2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2744993
    {'conductor': 111600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '111600.cq2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2744994
    {'conductor': 111600, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '111600.cq2', 'prime': 31, '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: 2395037
    {'adelic_gens': [[929, 3714, 2787, 3701], [4, 3, 9, 7], [1801, 6, 1683, 19], [1861, 6, 1863, 19], [2634, 1079, 2477, 3546], [3715, 6, 3714, 7], [743, 3714, 2229, 3701], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '3720.16.0.?', 'conductor': 111600, 'lmfdb_label': '111600.cq2', 'prime': 0}
  • id: 442599
    {'conductor': 111600, 'elladic_image': '3.4.0.1', 'lmfdb_label': '111600.cq2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 111600.cq does not appear in ec_padic