Elliptic curve data - 193600.ih2

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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': '193600ji', 'Clabel': '193600ji1', 'Cnumber': 1, 'abc_quality': 1.0570730436530982, 'absD': 2791309312000000000, 'adelic_genus': 5, 'adelic_index': 144, 'adelic_level': 660, 'ainvs': [0, -1, 0, -329633, -108368863], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 193600, 'degree': 3317760, 'elladic_images': ['2.3.0.1', '3.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2394275611809177791534461504', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 215, 'isogeny_degrees': [1, 2], 'jinv': [-726572699, 512000], 'lmfdb_iso': '193600.ih', 'lmfdb_label': '193600.ih2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -206, -1781], 'min_quad_twist_disc': 40, 'modell_images': ['2B', '3Ns'], 'modm_images': ['2.3.0.a.1', '3.6.0.b.1', '6.18.0.b.1', '12.36.0.c.1', '20.6.0.e.1', '30.36.0.d.1', '33.12.0.a.1', '44.6.0.b.1', '60.72.1.eu.1', '66.36.0.a.1', '110.6.0.?', '132.72.1.?', '220.12.0.?', '330.72.1.?', '660.144.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.435860547192779432457676122', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [5, 18, 7744], [11, 42, 1600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.20448598407564300828826759289', 'prec': 107}, 'szpiro_ratio': 4.150578701553633, '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, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 6, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 2, 0, 0, 0, 6, -6, 0, 6, 0, 4, -2, 12, -12, -6, 6, 0, 0, -14, 0, -6, -12, -12, 6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 193600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '193600.ih', 'trace_hash': 2247171224638691369}
• 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': '0.011346395956393843657880939287', 'prec': 107}, 'conductor': 193600, 'gens': [[279745192, 4678866416125, 39]], 'heights': [{'__RealLiteral__': 0, 'data': '15.435860547192779432457676122', 'prec': 100}], 'lmfdb_label': '193600.ih2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.096619392549324410540136826088', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.931227756366789214564745396115200650', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[697, 0, 1]], 'xcoord_integral_points': [697]}
• lmfdb_label 193600.ih2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8519085
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '193600.ih2', 'torsion': [2, 2]}
  • id: 8519087
    {'degree': 4, 'field': [-4400, 0, 110, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [6]}
  • id: 8519086
    {'degree': 4, 'field': [-55, 0, 44, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [4]}
  • id: 8519088
    {'degree': 4, 'field': [3300, 0, -110, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [6]}
  • id: 8519093
    {'degree': 8, 'field': [10055, 4580, -3804, -1504, 633, 140, -42, -4, 1], 'lmfdb_label': '193600.ih2', 'torsion': [2, 6]}
  • id: 8519090
    {'degree': 8, 'field': [23716, 0, 7260, 0, 693, 0, 0, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [2, 4]}
  • id: 8519089
    {'degree': 8, 'field': [30976, 0, -2904, 0, 616, 0, -44, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [2, 4]}
  • id: 8519092
    {'degree': 8, 'field': [60624, -3600, 4026, -912, 607, -184, 66, -4, 1], 'lmfdb_label': '193600.ih2', 'torsion': [2, 6]}
  • id: 8519091
    {'degree': 8, 'field': [10890000, 0, 363000, 0, 8800, 0, 110, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [3, 6]}
  • id: 8519094
    {'degree': 16, 'field': [-21095, -236380, -252950, -1608660, -2083654, -584672, 168570, 123392, 39842, 8588, 1430, -556, 90, -16, 6, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [8]}
  • id: 8519096
    {'degree': 16, 'field': [36602500, 0, 1325010500, 0, -138856575, 0, -12032240, 0, 427856, 0, 29524, 0, 396, 0, 44, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [12]}
  • id: 8519097
    {'degree': 16, 'field': [146410000, 0, -29282000, 0, -399300, 0, 1304380, 0, 84821, 0, -4840, 0, -517, 0, 0, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [12]}
  • id: 8519095
    {'degree': 16, 'field': [518194711, 78774964, -270915884, -47779664, 64963115, 12218260, -9308946, -1780052, 883814, 160412, -58056, -8920, 2615, 284, -74, -4, 1], 'lmfdb_label': '193600.ih2', 'torsion': [6, 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: 4795540
    {'conductor': 193600, 'conductor_valuation': 6, 'discriminant_valuation': 30, 'j_denominator_valuation': 12, 'kodaira_symbol': -24, 'lmfdb_label': '193600.ih2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4795541
    {'conductor': 193600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '193600.ih2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4795542
    {'conductor': 193600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '193600.ih2', 'prime': 11, 'reduction_type': 0, '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: 2906742
    {'adelic_gens': [[7, 12, 144, 247], [389, 498, 186, 71], [1, 0, 12, 1], [649, 12, 648, 13], [1, 6, 6, 37], [5, 12, 612, 545], [1, 12, 0, 1], [552, 5, 127, 588], [3, 442, 22, 15], [10, 3, 501, 652]], 'adelic_image': '660.144.5.?', 'conductor': 193600, 'lmfdb_label': '193600.ih2', 'prime': 0}
  • id: 721037
    {'conductor': 193600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '193600.ih2', 'modell_image': '2B', 'prime': 2}
  • id: 721038
    {'conductor': 193600, 'elladic_image': '3.6.0.1', 'lmfdb_label': '193600.ih2', 'modell_image': '3Ns', 'prime': 3}
• lmfdb_iso 193600.ih does not appear in ec_padic