Elliptic curve data - 14196.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
  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': '14196q', 'Clabel': '14196q1', 'Cnumber': 1, 'abc_quality': 1.1844185766908968, 'absD': 130968975797156467152, 'adelic_genus': 3, 'adelic_index': 96, 'adelic_level': 4368, 'ainvs': [0, 1, 0, -86098965, -307528130376], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 14196, 'degree': 1797120, 'elladic_images': ['8.12.0.31'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1161260093651904048727822243', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [416013434950254592, 771895089], 'lmfdb_iso': '14196.h', 'lmfdb_label': '14196.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -509461, -140133148], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.12.0.v.1', '26.6.0.b.1', '28.12.0.m.1', '48.24.0.m.2', '52.12.0.k.1', '56.24.0.ec.1', '104.24.0.?', '336.48.1.?', '364.24.0.?', '624.48.0.?', '728.48.1.?', '4368.96.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7496631612893518016427138698', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 13], [3, 4, 676], [7, 8, 2028], [13, 62, 84]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.96136493108238941636025593597', 'prec': 103}, 'szpiro_ratio': 6.94787192380638, '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, -4, 0, 1, 0, 1, 0, 0, 0, 0, 0, -4, 0, 2, 0, 0, 0], 'aplist': [0, 1, -4, 1, 0, 0, 2, 0, -4, 2, -8, -8, 4, 8, 0, 6, 8, -10, -8, 0, 4, 12, 8, 12, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 14196, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '14196.h', 'trace_hash': 1248264204504464931}
• 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': '0.0019650216444577006396294295788', 'prec': 110}, 'conductor': 14196, 'gens': [[21012, 2675946, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.7496631612893518016427138698', 'prec': 100}], 'lmfdb_label': '14196.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.049562147962982027170478867260', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4601926498679790990228148663555142047', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-5352, 0, 1]], 'xcoord_integral_points': [-5352, 21012]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': [2, 0], '11': [1, 1, 0], '13': 'a', '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '14196.h1'}
• ec_torsion_growth •

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

  
  
  • id: 730045
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '14196.h1', 'torsion': [2, 2]}
  • id: 730046
    {'degree': 4, 'field': [9, 6, 8, -2, 1], 'lmfdb_label': '14196.h1', 'torsion': [4]}
  • id: 730049
    {'degree': 8, 'field': [-168, 120, 12, 2, 14, -16, 1, -2, 1], 'lmfdb_label': '14196.h1', 'torsion': [6]}
  • id: 730048
    {'degree': 8, 'field': [9, 6, 2, -18, 15, -10, 8, -4, 1], 'lmfdb_label': '14196.h1', 'torsion': [2, 4]}
  • id: 730047
    {'degree': 8, 'field': [729, -162, -702, -450, -153, 14, 0, -4, 1], 'lmfdb_label': '14196.h1', 'torsion': [2, 4]}
  • id: 730052
    {'degree': 16, 'field': [1764, 0, -4584, 0, 30748, 0, -1113, 0, -1698, 0, -41, 0, 105, 0, -18, 0, 1], 'lmfdb_label': '14196.h1', 'torsion': [2, 6]}
  • id: 730050
    {'degree': 16, 'field': [2809, 0, -4904, 0, 2458, 0, -936, 0, 603, 0, 312, 0, 118, 0, 16, 0, 1], 'lmfdb_label': '14196.h1', 'torsion': [4, 4]}
  • id: 730051
    {'degree': 16, 'field': [7497, 17640, 23744, 17248, 7732, 4648, 4288, -448, -642, 248, 128, -416, 132, -8, 0, 0, 1], 'lmfdb_label': '14196.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: 311448
    {'conductor': 14196, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '14196.h1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 311449
    {'conductor': 14196, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '14196.h1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 311450
    {'conductor': 14196, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '14196.h1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 311451
    {'conductor': 14196, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '14196.h1', 'prime': 13, '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: 1758388
    {'adelic_gens': [[11, 16, 4304, 4275], [1, 16, 0, 1], [13, 8, 8, 5], [4353, 16, 4352, 17], [1696, 5, 2403, 16], [1877, 26, 3014, 3817], [3, 28, 4292, 3659], [1, 0, 16, 1], [3831, 10, 1010, 4277], [1469, 16, 264, 325], [1105, 16, 264, 325]], 'adelic_image': '4368.96.3.?', 'conductor': 14196, 'lmfdb_label': '14196.h1', 'prime': 0}
  • id: 67166
    {'conductor': 14196, 'elladic_image': '8.12.0.31', 'lmfdb_label': '14196.h1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 633208
    {'lmfdb_iso': '14196.h', 'p': 5, 'prec': 20, 'unit': 3619917157218, 'val': -1}
  • id: 633200
    {'lmfdb_iso': '14196.h', 'p': 17, 'prec': 20, 'unit': 91942755614325031945055, 'val': 1}
  • id: 633204
    {'lmfdb_iso': '14196.h', 'p': 23, 'prec': 20, 'unit': 5285634563013085014641511, 'val': 1}
  • id: 633198
    {'lmfdb_iso': '14196.h', 'p': 29, 'prec': 20, 'unit': 5720147417289136843118685964, 'val': 1}
  • id: 633195
    {'lmfdb_iso': '14196.h', 'p': 31, 'prec': 20, 'unit': 1119834702737504418817527889, 'val': 1}
  • id: 633194
    {'lmfdb_iso': '14196.h', 'p': 37, 'prec': 20, 'unit': 127732106430972327115202520494, 'val': 1}
  • id: 633196
    {'lmfdb_iso': '14196.h', 'p': 41, 'prec': 20, 'unit': 1068381277593558849589389078685, 'val': 1}
  • id: 633197
    {'lmfdb_iso': '14196.h', 'p': 43, 'prec': 20, 'unit': 9695673754841948775746114402311, 'val': 1}
  • id: 633202
    {'lmfdb_iso': '14196.h', 'p': 53, 'prec': 20, 'unit': 273639778601441327197472047878962, 'val': 1}
  • id: 633206
    {'lmfdb_iso': '14196.h', 'p': 59, 'prec': 20, 'unit': 1879716339432325225172969962110183, 'val': 1}
  • id: 633207
    {'lmfdb_iso': '14196.h', 'p': 61, 'prec': 20, 'unit': 127968402510433485271668666533597, 'val': 2}
  • id: 633193
    {'lmfdb_iso': '14196.h', 'p': 67, 'prec': 20, 'unit': 44345990244857223631130370831226738, 'val': 1}
  • id: 633203
    {'lmfdb_iso': '14196.h', 'p': 73, 'prec': 20, 'unit': 72349577414537875744498908159585293, 'val': 1}
  • id: 633199
    {'lmfdb_iso': '14196.h', 'p': 79, 'prec': 20, 'unit': 642384134068776095609429060346275606, 'val': 1}
  • id: 633201
    {'lmfdb_iso': '14196.h', 'p': 83, 'prec': 20, 'unit': 87240616054131448438836612877624669, 'val': 1}
  • id: 633205
    {'lmfdb_iso': '14196.h', 'p': 89, 'prec': 20, 'unit': 1137112047803764670268281895668135234, 'val': 1}
  • id: 633192
    {'lmfdb_iso': '14196.h', 'p': 97, 'prec': 20, 'unit': 39584039020979364420490961810345660640, 'val': 1}