Elliptic curve data - 37440.ez2

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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': '37440w', 'Clabel': '37440w2', 'Cnumber': 2, 'abc_quality': 0.9255042656096455, 'absD': 898560000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, 108, -1376], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 37440, 'degree': 12288, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.39980268887332951083278288702', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 129, 'isogeny_degrees': [1, 2], 'jinv': [1259712, 8125], 'lmfdb_iso': '37440.ez', 'lmfdb_label': '37440.ez2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 27, 172], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '52.6.0.e.1', '78.6.0.?', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0223244604458810116900542942', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 39], [3, 6, 4160], [5, 6, 7488], [13, 14, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56799756385364322143326054367', 'prec': 107}, 'szpiro_ratio': 2.6567618862167897, '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, 1, 0, 2, 0, 0, 0, -4, 0, 1, 0, 0, 0, -4, 0, -2, 0], 'aplist': [0, 0, 1, 2, -4, 1, -4, -2, 8, 0, -2, 10, -10, 0, 0, 8, 4, -2, -2, 0, 2, 0, -12, -6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 37440, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '37440.ez', 'trace_hash': 704264950653407074}
• 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': '0.44950631431639899817221235165', 'prec': 103}, 'conductor': 37440, 'gens': [[18, 80, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0223244604458810116900542942', 'prec': 100}], 'lmfdb_label': '37440.ez2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.78665750228905835305251136778', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4337536526669279013369166076340393276', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[8, 0, 1]], 'xcoord_integral_points': [8, 18, 38, 200]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '37440.ez2'}
• ec_torsion_growth •

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

  
  
  • id: 1850348
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '37440.ez2', 'torsion': [2, 2]}
  • id: 1850349
    {'degree': 4, 'field': [-39, 0, -12, 0, 1], 'lmfdb_label': '37440.ez2', 'torsion': [4]}
  • id: 1850352
    {'degree': 8, 'field': [-507, 0, 0, 0, -78, 0, -16, 0, 1], 'lmfdb_label': '37440.ez2', 'torsion': [6]}
  • id: 1850350
    {'degree': 8, 'field': [144, 0, 144, 0, 177, 0, 12, 0, 1], 'lmfdb_label': '37440.ez2', 'torsion': [2, 4]}
  • id: 1850351
    {'degree': 8, 'field': [1600, 0, -776, 0, 201, 0, 4, 0, 1], 'lmfdb_label': '37440.ez2', 'torsion': [2, 4]}
  • id: 1850353
    {'degree': 16, 'field': [28323856, 36409984, 44808960, 17096000, 3700064, -2933376, 352, 817120, -145944, -61856, -1568, 7248, -616, 128, -24, -8, 1], 'lmfdb_label': '37440.ez2', 'torsion': [8]}
  • id: 1850354
    {'degree': 16, 'field': [352360200, -419053200, 529535800, -238352192, 163880536, -57155720, 25044556, -5424632, 1725597, -261216, 67872, -9440, 2362, -392, 76, -8, 1], 'lmfdb_label': '37440.ez2', '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: 883122
    {'conductor': 37440, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '37440.ez2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 883123
    {'conductor': 37440, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '37440.ez2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 883124
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '37440.ez2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 883125
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37440.ez2', 'prime': 13, '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: 1914296
    {'adelic_gens': [[1, 2, 2, 5], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [56, 1, 103, 0], [121, 40, 116, 39], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 37440, 'lmfdb_label': '37440.ez2', 'prime': 0}
  • id: 165560
    {'conductor': 37440, 'elladic_image': '2.3.0.1', 'lmfdb_label': '37440.ez2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1843940
    {'lmfdb_iso': '37440.ez', 'p': 7, 'prec': 20, 'unit': 7590141613622077, 'val': 1}
  • id: 1843942
    {'lmfdb_iso': '37440.ez', 'p': 11, 'prec': 20, 'unit': 31346552155306150198, 'val': 1}
  • id: 1843943
    {'lmfdb_iso': '37440.ez', 'p': 17, 'prec': 20, 'unit': 51711586829002584122143, 'val': 1}
  • id: 1843936
    {'lmfdb_iso': '37440.ez', 'p': 19, 'prec': 20, 'unit': 1428552377348827907416123, 'val': 1}
  • id: 1843947
    {'lmfdb_iso': '37440.ez', 'p': 23, 'prec': 20, 'unit': 46338448124348892999747407, 'val': 1}
  • id: 1843951
    {'lmfdb_iso': '37440.ez', 'p': 31, 'prec': 20, 'unit': 4986889218850293871319116791, 'val': 1}
  • id: 1843939
    {'lmfdb_iso': '37440.ez', 'p': 37, 'prec': 20, 'unit': 88218932049926768194339017919, 'val': 1}
  • id: 1843941
    {'lmfdb_iso': '37440.ez', 'p': 41, 'prec': 20, 'unit': 2431215894868529911625560720179, 'val': 1}
  • id: 1843945
    {'lmfdb_iso': '37440.ez', 'p': 53, 'prec': 20, 'unit': 480923113487111721785439748122982, 'val': 1}
  • id: 1843949
    {'lmfdb_iso': '37440.ez', 'p': 59, 'prec': 20, 'unit': 1303807721664052487157318316285910, 'val': 1}
  • id: 1843950
    {'lmfdb_iso': '37440.ez', 'p': 61, 'prec': 20, 'unit': 3513614088371729245279313374725277, 'val': 1}
  • id: 1843938
    {'lmfdb_iso': '37440.ez', 'p': 67, 'prec': 20, 'unit': 10924108978084223305568246627552952, 'val': 1}
  • id: 1843946
    {'lmfdb_iso': '37440.ez', 'p': 73, 'prec': 20, 'unit': 1197611737400455724650046278643407, 'val': 2}
  • id: 1843944
    {'lmfdb_iso': '37440.ez', 'p': 83, 'prec': 20, 'unit': 2758046325521429559695781826842501860, 'val': 1}
  • id: 1843948
    {'lmfdb_iso': '37440.ez', 'p': 89, 'prec': 20, 'unit': 34184628065647091848321065763385411, 'val': 1}
  • id: 1843937
    {'lmfdb_iso': '37440.ez', 'p': 97, 'prec': 20, 'unit': 46767187261181746768221190052981080138, 'val': 1}