Elliptic curve data - 33396.h1

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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': '33396c', 'Clabel': '33396c2', 'Cnumber': 2, 'abc_quality': 0.8438084338198321, 'absD': 783792101714688, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3036, 'ainvs': [0, -1, 0, -27628, -1135352], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 33396, 'degree': 138240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5603663180633348917181137498', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [5142706000, 1728243], 'lmfdb_iso': '33396.h', 'lmfdb_label': '33396.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -228, 936], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '1012.6.0.?', '3036.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.7599793472549947960076305455', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10067943870914725325767945349', 'prec': 107}, 'szpiro_ratio': 4.060351106101782, '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, -1, 0, 0, 0, 4, 0, 1, 0, 0, 0, -6, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, -1, 0, 4, 0, -6, 2, 0, -1, 0, -4, 2, -4, -4, 0, 8, 4, -2, 10, -16, 10, 16, 12, -4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 33396, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '33396.h', 'trace_hash': 1366324482107486789}
• 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': '0.044124829130769370746975843100', 'prec': 107}, 'conductor': 33396, 'gens': [[38329, 6974198, 9]], 'heights': [{'__RealLiteral__': 0, 'data': '6.7599793472549947960076305455', 'prec': 100}], 'lmfdb_label': '33396.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.38034303122528334100231520873', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1422220719105539661180481411836021360', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-139, 0, 1]], 'xcoord_integral_points': [-139]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '33396.h1'}
• ec_torsion_growth •

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

  
  
  • id: 1658447
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '33396.h1', 'torsion': [2, 2]}
  • id: 1658448
    {'degree': 4, 'field': [147, 0, 29, 0, 1], 'lmfdb_label': '33396.h1', 'torsion': [4]}
  • id: 1658451
    {'degree': 8, 'field': [-865, -9548, 1682, 256, -592, -32, -2, -4, 1], 'lmfdb_label': '33396.h1', 'torsion': [6]}
  • id: 1658450
    {'degree': 8, 'field': [81, 306, 106, -466, 215, -94, 68, -4, 1], 'lmfdb_label': '33396.h1', 'torsion': [2, 4]}
  • id: 1658449
    {'degree': 8, 'field': [37393, 104668, -29188, -2012, 70, -28, -28, -4, 1], 'lmfdb_label': '33396.h1', 'torsion': [2, 4]}
  • id: 1658453
    {'degree': 16, 'field': [-251342528, -178817792, 16359360, 34762880, 31379024, 19623168, -3331536, -2700480, 662400, 11536, -4352, 3960, -948, 120, -12, -8, 1], 'lmfdb_label': '33396.h1', 'torsion': [2, 6]}
  • id: 1658452
    {'degree': 16, 'field': [93582763569, 0, 14535002196, 0, 93823944, 0, -76856076, 0, 7221166, 0, -218548, 0, 4200, 0, 44, 0, 1], 'lmfdb_label': '33396.h1', '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: 781646
    {'conductor': 33396, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '33396.h1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 781647
    {'conductor': 33396, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '33396.h1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 781648
    {'conductor': 33396, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '33396.h1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 781649
    {'conductor': 33396, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '33396.h1', 'prime': 23, 'reduction_type': -1, '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: 1886985
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [2026, 1, 2023, 0], [1, 2, 2, 5], [760, 2281, 2277, 760], [1, 4, 0, 1], [277, 4, 554, 9], [925, 4, 1850, 9], [3033, 4, 3032, 5]], 'adelic_image': '3036.12.0.?', 'conductor': 33396, 'lmfdb_label': '33396.h1', 'prime': 0}
  • id: 148822
    {'conductor': 33396, 'elladic_image': '2.3.0.1', 'lmfdb_label': '33396.h1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1628820
    {'lmfdb_iso': '33396.h', 'p': 7, 'prec': 20, 'unit': 6766175972642882, 'val': 1}
  • id: 1628823
    {'lmfdb_iso': '33396.h', 'p': 13, 'prec': 20, 'unit': 566966762759705386867, 'val': 1}
  • id: 1628825
    {'lmfdb_iso': '33396.h', 'p': 17, 'prec': 20, 'unit': 48659229402042304971228, 'val': 1}
  • id: 1628833
    {'lmfdb_iso': '33396.h', 'p': 31, 'prec': 20, 'unit': 21251396226403886661662349249, 'val': 1}
  • id: 1628819
    {'lmfdb_iso': '33396.h', 'p': 37, 'prec': 20, 'unit': 140761942411406963350314445301, 'val': 1}
  • id: 1628821
    {'lmfdb_iso': '33396.h', 'p': 41, 'prec': 20, 'unit': 2436486238604713194142729435868, 'val': 1}
  • id: 1628822
    {'lmfdb_iso': '33396.h', 'p': 43, 'prec': 20, 'unit': 2564259095884258059364863632269, 'val': 1}
  • id: 1628827
    {'lmfdb_iso': '33396.h', 'p': 53, 'prec': 20, 'unit': 361080120728856951797511258576156, 'val': 1}
  • id: 1628831
    {'lmfdb_iso': '33396.h', 'p': 59, 'prec': 20, 'unit': 2919112623761000528104473241581508, 'val': 1}
  • id: 1628832
    {'lmfdb_iso': '33396.h', 'p': 61, 'prec': 20, 'unit': 3395498738443801830184141797375003, 'val': 1}
  • id: 1628818
    {'lmfdb_iso': '33396.h', 'p': 67, 'prec': 20, 'unit': 12013397512894953279451029038921673, 'val': 1}
  • id: 1628830
    {'lmfdb_iso': '33396.h', 'p': 71, 'prec': 20, 'unit': 134900982934436426067828465493227837, 'val': 1}
  • id: 1628828
    {'lmfdb_iso': '33396.h', 'p': 73, 'prec': 20, 'unit': 46297994303018031410675217517404509, 'val': 1}
  • id: 1628824
    {'lmfdb_iso': '33396.h', 'p': 79, 'prec': 20, 'unit': 504915597896886666978488776414835211, 'val': 1}
  • id: 1628826
    {'lmfdb_iso': '33396.h', 'p': 83, 'prec': 20, 'unit': 186772046226986772095406882505297271, 'val': 1}
  • id: 1628829
    {'lmfdb_iso': '33396.h', 'p': 89, 'prec': 20, 'unit': 4153794869515378558972112291119069528, 'val': 1}
  • id: 1628817
    {'lmfdb_iso': '33396.h', 'p': 97, 'prec': 20, 'unit': 21860103226927543654241993084379279684, 'val': 1}