Elliptic curve data - 17136.m1

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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': '17136t', 'Clabel': '17136t2', 'Cnumber': 2, 'abc_quality': 1.0663566637064679, 'absD': 24196947339043584, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1428, 'ainvs': [0, 0, 0, -153711, 21955050], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 17136, 'degree': 126720, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8962710923034731745050202624', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [79708988544624, 4802079233], 'lmfdb_iso': '17136.m', 'lmfdb_label': '17136.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -153711, -21955050], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '84.6.0.?', '204.6.0.?', '476.6.0.?', '1428.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2902770831531079111575429266', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 51], [3, 2, 1904], [5, 2, 2448], [7, 8, 2448], [17, 18, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.61021375542909403301376492040', 'prec': 103}, 'szpiro_ratio': 4.866386204614149, '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, 0, 0, -2, 0, 1, 0, 0, 0, 2, 0, -6, 0, 0, 0, -1, 0, 2, 0], 'aplist': [0, 0, -2, 1, 2, -6, -1, 2, 2, 6, 4, 2, -6, -4, -8, 12, -4, -8, 4, -10, 8, 16, 12, -6, 4], 'class_deg': 2, 'class_size': 2, 'conductor': 17136, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '17136.m', 'trace_hash': 1887749657178395905}
• 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': '0.022538232612405732739829311487', 'prec': 107}, 'conductor': 17136, 'gens': [[306, 1890, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2902770831531079111575429266', 'prec': 100}], 'lmfdb_label': '17136.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37249730238327538848483437915', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2656101759238459430223060143463427188', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [[-450, 0, 1]], 'xcoord_integral_points': [-450, 306]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [5, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '17136.m1'}
• ec_torsion_growth •

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

  
  
  • id: 876822
    {'degree': 2, 'field': [-51, 0, 1], 'lmfdb_label': '17136.m1', 'torsion': [2, 2]}
  • id: 876823
    {'degree': 4, 'field': [51, 0, 27, 0, 1], 'lmfdb_label': '17136.m1', 'torsion': [4]}
  • id: 876824
    {'degree': 8, 'field': [-28442, -64088, -45640, -12092, -716, 176, 14, -4, 1], 'lmfdb_label': '17136.m1', 'torsion': [2, 4]}
  • id: 876826
    {'degree': 8, 'field': [-192, 0, -48, 0, -48, 0, 0, 0, 1], 'lmfdb_label': '17136.m1', 'torsion': [6]}
  • id: 876825
    {'degree': 8, 'field': [80605, -86926, 29750, -2758, -206, 46, -10, -2, 1], 'lmfdb_label': '17136.m1', 'torsion': [2, 4]}
  • id: 876827
    {'degree': 16, 'field': [83521, 0, 78608, 0, 149702, 0, 137564, 0, 134827, 0, -3332, 0, 7238, 0, 124, 0, 1], 'lmfdb_label': '17136.m1', 'torsion': [8]}
  • id: 876828
    {'degree': 16, 'field': [1882384, 0, 2295356, 0, 1101961, 0, 238166, 0, 41071, 0, 2336, 0, -329, 0, -34, 0, 1], 'lmfdb_label': '17136.m1', 'torsion': [2, 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: 381972
    {'conductor': 17136, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '17136.m1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 381973
    {'conductor': 17136, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '17136.m1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 381974
    {'conductor': 17136, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '17136.m1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 381975
    {'conductor': 17136, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '17136.m1', 'prime': 17, '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: 1778106
    {'adelic_gens': [[1, 0, 4, 1], [409, 4, 818, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1094, 1, 167, 0], [956, 1, 475, 0], [1425, 4, 1424, 5], [1072, 361, 357, 1072]], 'adelic_image': '1428.12.0.?', 'conductor': 17136, 'lmfdb_label': '17136.m1', 'prime': 0}
  • id: 80319
    {'conductor': 17136, 'elladic_image': '2.3.0.1', 'lmfdb_label': '17136.m1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 780540
    {'lmfdb_iso': '17136.m', 'p': 5, 'prec': 20, 'unit': 91201640699, 'val': 1}
  • id: 780539
    {'lmfdb_iso': '17136.m', 'p': 11, 'prec': 20, 'unit': 48843634826327996508, 'val': 1}
  • id: 780546
    {'lmfdb_iso': '17136.m', 'p': 13, 'prec': 20, 'unit': 276157025894070649868, 'val': 1}
  • id: 780549
    {'lmfdb_iso': '17136.m', 'p': 19, 'prec': 20, 'unit': 179281840424874570457167, 'val': 1}
  • id: 780552
    {'lmfdb_iso': '17136.m', 'p': 23, 'prec': 20, 'unit': 42032397542208695951745824, 'val': 1}
  • id: 780545
    {'lmfdb_iso': '17136.m', 'p': 29, 'prec': 20, 'unit': 5142812935823794674140785098, 'val': 1}
  • id: 780542
    {'lmfdb_iso': '17136.m', 'p': 31, 'prec': 20, 'unit': 7329872786360085210152770055, 'val': 1}
  • id: 780557
    {'lmfdb_iso': '17136.m', 'p': 37, 'prec': 20, 'unit': 283199068670848592481002482942, 'val': 1}
  • id: 780543
    {'lmfdb_iso': '17136.m', 'p': 41, 'prec': 20, 'unit': 891148775646224479723033453915, 'val': 1}
  • id: 780544
    {'lmfdb_iso': '17136.m', 'p': 43, 'prec': 20, 'unit': 3644150175043992523858859867566, 'val': 1}
  • id: 780554
    {'lmfdb_iso': '17136.m', 'p': 47, 'prec': 20, 'unit': 46455107085650765780265424602416, 'val': 1}
  • id: 780550
    {'lmfdb_iso': '17136.m', 'p': 53, 'prec': 20, 'unit': 16726956094490916717845848926412, 'val': 1}
  • id: 780548
    {'lmfdb_iso': '17136.m', 'p': 59, 'prec': 20, 'unit': 3340610011065485571296869480757563, 'val': 1}
  • id: 780555
    {'lmfdb_iso': '17136.m', 'p': 61, 'prec': 20, 'unit': 6025562000798703896293593723075062, 'val': 1}
  • id: 780538
    {'lmfdb_iso': '17136.m', 'p': 67, 'prec': 20, 'unit': 37869606910553684501729728658720190, 'val': 1}
  • id: 780541
    {'lmfdb_iso': '17136.m', 'p': 71, 'prec': 20, 'unit': 20711377624513625779696786308416145, 'val': 1}
  • id: 780551
    {'lmfdb_iso': '17136.m', 'p': 73, 'prec': 20, 'unit': 191720801917702360871329673127528706, 'val': 1}
  • id: 780547
    {'lmfdb_iso': '17136.m', 'p': 79, 'prec': 20, 'unit': 497352902162168707120248936559501784, 'val': 1}
  • id: 780556
    {'lmfdb_iso': '17136.m', 'p': 83, 'prec': 20, 'unit': 1578674039924696420012280213824191028, 'val': 1}
  • id: 780553
    {'lmfdb_iso': '17136.m', 'p': 89, 'prec': 20, 'unit': 60834102341399442657632299398859153, 'val': 2}
  • id: 780537
    {'lmfdb_iso': '17136.m', 'p': 97, 'prec': 20, 'unit': 32025430110809442087883854918237495459, 'val': 1}