Elliptic curve data - 81796.o1

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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': '81796f', 'Clabel': '81796f2', 'Cnumber': 2, 'abc_quality': 0.9950617979294879, 'absD': 2913628962930692864, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 858, 'ainvs': [0, 1, 0, -1581389, 769297439], 'analytic_rank': 1, 'bad_primes': [2, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 81796, 'degree': 1555200, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3784346336718406779518587813', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 14, 'isogeny_degrees': [1, 3], 'jinv': [-199794688, 1331], 'lmfdb_iso': '81796.o', 'lmfdb_label': '81796.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -77, -289], 'min_quad_twist_disc': -143, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '22.2.0.a.1', '66.8.0.a.1', '78.8.0.?', '429.8.0.?', '858.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.401958174797149353027740725', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 20449], [11, 72, 676], [13, 86, 484]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56508580183140983505067814277', 'prec': 107}, 'szpiro_ratio': 4.813169271351526, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 3, 0, 2, 0, -2, 0, 0, 0, 0, 0, 3, 0, -6, 0, 8, 0], 'aplist': [0, 1, 3, 2, 0, 0, -6, 8, -3, 0, -5, 1, 0, 10, 0, -6, -3, 4, 1, -15, -4, -2, 6, 9, 7], 'class_deg': 3, 'class_size': 2, 'conductor': 81796, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '81796.o', 'trace_hash': 994851541028490077}
• 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': '0.0085924680522559606890754639451', 'prec': 110}, 'conductor': 81796, 'gens': [[512170, 207192817, 21]], 'heights': [{'__RealLiteral__': 0, 'data': '10.401958174797149353027740725', 'prec': 100}], 'lmfdb_label': '81796.o1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.25539414021372108240428566865', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.626396658365621574839322979210773226', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': [1, 0], '11': 'a', '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '81796.o1'}
• ec_torsion_growth •

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

  
  
  • id: 3846474
    {'degree': 2, 'field': [-107, -1, 1], 'lmfdb_label': '81796.o1', 'torsion': [3]}
  • id: 3846475
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '81796.o1', 'torsion': [2]}
  • id: 3846478
    {'degree': 6, 'field': [-9569, -1221, 232, 97, -8, -1, 1], 'lmfdb_label': '81796.o1', 'torsion': [6]}
  • id: 3846476
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '81796.o1', 'torsion': [2, 2]}
  • id: 3846477
    {'degree': 6, 'field': [46874, -4314, 3990, -213, 111, -3, 1], 'lmfdb_label': '81796.o1', 'torsion': [3]}
  • id: 3846479
    {'degree': 12, 'field': [-140638, -260672, -140164, -5084, 43098, 11620, 2760, 164, -208, -94, 2, -2, 1], 'lmfdb_label': '81796.o1', 'torsion': [4]}
  • id: 3846481
    {'degree': 12, 'field': [699061, -418242, 566229, -215728, 166150, -43598, 24053, -4316, 1826, -210, 69, -4, 1], 'lmfdb_label': '81796.o1', 'torsion': [2, 6]}
  • id: 3846480
    {'degree': 12, 'field': [2565523801, 0, 388031247, 0, 25173750, 0, 895279, 0, 18390, 0, 207, 0, 1], 'lmfdb_label': '81796.o1', 'torsion': [3, 3]}
  • id: 3846482
    {'degree': 18, 'field': [-28285963901, -45930591486, 22196523597, 36456148117, -4738994007, -8350076061, 241177541, 830399421, -2091003, -45430706, 468360, 1563789, -67933, -35841, 3249, 508, -75, -3, 1], 'lmfdb_label': '81796.o1', 'torsion': [9]}
  • id: 3846483
    {'degree': 18, 'field': [93576664, 0, 0, -15899236, 0, 0, 1031898, 0, 0, -46935, 0, 0, 1673, 0, 0, -29, 0, 0, 1], 'lmfdb_label': '81796.o1', 'torsion': [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: 1992418
    {'conductor': 81796, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '81796.o1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1992419
    {'conductor': 81796, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '81796.o1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1992420
    {'conductor': 81796, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '81796.o1', '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: 2203424
    {'adelic_gens': [[3, 4, 8, 11], [4, 3, 9, 7], [853, 6, 852, 7], [1, 0, 6, 1], [14, 585, 637, 469], [779, 390, 819, 311], [791, 0, 0, 857], [1, 6, 0, 1]], 'adelic_image': '858.16.0.?', 'conductor': 81796, 'lmfdb_label': '81796.o1', 'prime': 0}
  • id: 335295
    {'conductor': 81796, 'elladic_image': '3.4.0.1', 'lmfdb_label': '81796.o1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 4219308
    {'lmfdb_iso': '81796.o', 'p': 5, 'prec': 20, 'unit': 16465806769669, 'val': 1}
  • id: 4219309
    {'lmfdb_iso': '81796.o', 'p': 7, 'prec': 20, 'unit': 4929806322834978, 'val': 1}
  • id: 4219314
    {'lmfdb_iso': '81796.o', 'p': 17, 'prec': 20, 'unit': 176791152140916303458616, 'val': 1}
  • id: 4219305
    {'lmfdb_iso': '81796.o', 'p': 19, 'prec': 20, 'unit': 65503241673762133230571, 'val': 1}
  • id: 4219317
    {'lmfdb_iso': '81796.o', 'p': 23, 'prec': 20, 'unit': 18086369762847758016730873, 'val': 1}
  • id: 4219310
    {'lmfdb_iso': '81796.o', 'p': 31, 'prec': 20, 'unit': 10790862475752600136367077034, 'val': 1}
  • id: 4219322
    {'lmfdb_iso': '81796.o', 'p': 37, 'prec': 20, 'unit': 894840386951725664601918446337, 'val': 0}
  • id: 4219312
    {'lmfdb_iso': '81796.o', 'p': 43, 'prec': 20, 'unit': 7292144871052739928159659612880, 'val': 1}
  • id: 4219316
    {'lmfdb_iso': '81796.o', 'p': 53, 'prec': 20, 'unit': 285324910680903281337361260628859, 'val': 1}
  • id: 4219320
    {'lmfdb_iso': '81796.o', 'p': 59, 'prec': 20, 'unit': 3803186666908830053767255391401622, 'val': 1}
  • id: 4219321
    {'lmfdb_iso': '81796.o', 'p': 61, 'prec': 20, 'unit': 7769935664451607737443988597674148, 'val': 1}
  • id: 4219307
    {'lmfdb_iso': '81796.o', 'p': 67, 'prec': 20, 'unit': 588515668545222739697630869491296783, 'val': -1}
  • id: 4219319
    {'lmfdb_iso': '81796.o', 'p': 71, 'prec': 20, 'unit': 74288857988235690265380989663880694, 'val': 1}
  • id: 4219311
    {'lmfdb_iso': '81796.o', 'p': 73, 'prec': 20, 'unit': 37802984057890942663358176085604948, 'val': 1}
  • id: 4219313
    {'lmfdb_iso': '81796.o', 'p': 79, 'prec': 20, 'unit': 314538056944229300012636704642192086, 'val': 1}
  • id: 4219315
    {'lmfdb_iso': '81796.o', 'p': 83, 'prec': 20, 'unit': 659681700554053615688650516997641210, 'val': 1}
  • id: 4219318
    {'lmfdb_iso': '81796.o', 'p': 89, 'prec': 20, 'unit': 10162798223325676417502941402760697997, 'val': 1}
  • id: 4219306
    {'lmfdb_iso': '81796.o', 'p': 97, 'prec': 20, 'unit': 43388499187216879039263792001475118343, 'val': 1}