Elliptic curve data - 363090.m5

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '363090m', 'Clabel': '363090m2', 'Cnumber': 2, 'abc_quality': 1.0008440643779843, 'absD': 11119006476578155517578125000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 622440, 'ainvs': [1, 1, 0, -600424073, -2516091748323], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 363090, 'degree': 286654464, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0760843121925412904519404424', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [203474393135384091200330761, 94509995635986328125000], 'lmfdb_iso': '363090.m', 'lmfdb_label': '363090.m5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -12253553, 7333793948], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '21.8.0-3.a.1.1', '42.24.0-6.a.1.3', '63.24.0-9.a.1.1', '126.72.0.?', '456.24.0.?', '780.24.0.?', '1368.72.1.?', '1820.6.0.?', '2340.72.0.?', '3192.48.0.?', '5460.48.0.?', '9576.144.1.?', '15561.72.0.?', '16380.144.1.?', '29640.48.0.?', '31122.216.2.?', '88920.144.1.?', '124488.432.7.?', '207480.96.1.?', '311220.432.7.?', '622440.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.1031292376648846378992640707', 'prec': 100}, 'szpiro_ratio': 5.6437081591018465, '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, -1, 1, 1, 0, -1, -1, 0, 1, 1, 6, -1, -1, -1], 'aplist': [-1, -1, -1, 0, 0, -1, 6, -1, -6, -6, 4, 2, 6, -10, -6, 0, 0, -8, -4, 0, -2, 8, -12, -6, -8], 'class_deg': 18, 'class_size': 6, 'conductor': 363090, 'isogeny_matrix': [[1, 2, 3, 6, 9, 18], [2, 1, 6, 3, 18, 9], [3, 6, 1, 2, 3, 6], [6, 3, 2, 1, 6, 3], [9, 18, 3, 6, 1, 2], [18, 9, 6, 3, 2, 1]], 'lmfdb_iso': '363090.m', 'trace_hash': 1139464810879320607}
• 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': '0.00028810987954728820742922960510', 'prec': 113}, 'conductor': 363090, 'gens': [], 'heights': [], 'lmfdb_label': '363090.m5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.031893043462680770200983852802', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.12757217385072308080393541120649292971', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[-17301, 17301, 2]], 'xcoord_integral_points': []}
• lmfdb_label 363090.m5 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15094557
    {'degree': 2, 'field': [-114, 0, 1], 'lmfdb_label': '363090.m5', 'torsion': [2, 2]}
  • id: 15094558
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '363090.m5', 'torsion': [6]}
  • id: 15094559
    {'degree': 4, 'field': [114, 0, -1, 0, 1], 'lmfdb_label': '363090.m5', 'torsion': [4]}
  • id: 15094560
    {'degree': 4, 'field': [13342, 224, -223, -2, 1], 'lmfdb_label': '363090.m5', 'torsion': [2, 6]}
  • id: 15094561
    {'degree': 6, 'field': [-2676428, 7492, -7493, 1, 2, -3, 1], 'lmfdb_label': '363090.m5', 'torsion': [6]}
  • id: 15094562
    {'degree': 6, 'field': [3575489, -35071, 49757, -4355, 1, -1, 1], 'lmfdb_label': '363090.m5', 'torsion': [18]}
  • id: 15094565
    {'degree': 8, 'field': [13484, 2468, -2220, -502, 267, -22, 12, -4, 1], 'lmfdb_label': '363090.m5', 'torsion': [12]}
  • id: 15094564
    {'degree': 8, 'field': [8099716, 0, 7940, 0, -1563, 0, -10, 0, 1], 'lmfdb_label': '363090.m5', 'torsion': [2, 4]}
  • id: 15094563
    {'degree': 8, 'field': [269452225, 0, 240772, 0, -83898, 0, 4, 0, 1], 'lmfdb_label': '363090.m5', 'torsion': [2, 4]}
  • id: 15094568
    {'degree': 12, 'field': [-114281649, 496397322, -473591139, -45356634, 22052092, 714882, -177631, -51366, 12060, 510, -91, -6, 1], 'lmfdb_label': '363090.m5', 'torsion': [2, 6]}
  • id: 15094567
    {'degree': 12, 'field': [104917, 799, -13822, 3234, 29124, 15470, 4103, -238, -226, -88, -3, 0, 1], 'lmfdb_label': '363090.m5', 'torsion': [18]}
  • id: 15094566
    {'degree': 12, 'field': [7163266839184, -20051798576, -19998344940, -50784700, 61490413, 7991823, -5315393, -37464, 7500, -8, 7, -3, 1], 'lmfdb_label': '363090.m5', 'torsion': [3, 6]}
  • id: 15094569
    {'degree': 12, 'field': [81594247316863, -12056234363038, 2424913593891, -38215673148, -1849403877, 187709830, 40229771, -437374, 301911, -7572, -681, -2, 1], 'lmfdb_label': '363090.m5', 'torsion': [2, 18]}
  • id: 15094572
    {'degree': 16, 'field': [2690911876, 0, -492830476, 0, -227013427, 0, 12828666, 0, 13101563, 0, 14352, 0, 4787, 0, 2, 0, 1], 'lmfdb_label': '363090.m5', 'torsion': [2, 12]}
  • id: 15094571
    {'degree': 16, 'field': [10984001232016, 193284843840, -167989523392, -50455914976, 24910672616, 326027856, -17387872, -78466776, 19944817, -301872, 143860, -46016, 8094, -224, 52, -8, 1], 'lmfdb_label': '363090.m5', 'torsion': [2, 12]}
  • id: 15094570
    {'degree': 16, 'field': [746076447360000, 0, 479654943456000, 0, 84708994225600, 0, 100073468560, 0, -4394238704, 0, -395512, 0, 35164, 0, -143, 0, 1], 'lmfdb_label': '363090.m5', 'torsion': [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: 8980954
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '363090.m5', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8980955
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '363090.m5', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8980956
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '363090.m5', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980957
    {'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '363090.m5', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8980958
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.m5', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8980959
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.m5', 'prime': 19, '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: 3925859
    {'adelic_gens': [[1, 36, 0, 1], [1, 0, 36, 1], [466831, 36, 311230, 361], [239431, 36, 195866, 5047], [28, 27, 311529, 298], [32764, 9, 491479, 178], [622405, 36, 622404, 37], [19, 36, 3240, 6139], [248977, 36, 10, 361], [533489, 622404, 440254, 617393], [1, 18, 14, 253], [484148, 27, 207789, 298]], 'adelic_image': '622440.864.21.?', 'conductor': 363090, 'lmfdb_label': '363090.m5', 'prime': 0}
  • id: 1249919
    {'conductor': 363090, 'elladic_image': '2.3.0.1', 'lmfdb_label': '363090.m5', 'modell_image': '2B', 'prime': 2}
  • id: 1249920
    {'conductor': 363090, 'elladic_image': '9.12.0.1', 'lmfdb_label': '363090.m5', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 363090.m does not appear in ec_padic