Elliptic curve data - 97104.q1

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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': '97104bw', 'Clabel': '97104bw1', 'Cnumber': 1, 'abc_quality': 0.8600734252132352, 'absD': 138976784481024, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 102, 'ainvs': [0, -1, 0, 10019, -418943], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 97104, 'degree': 331776, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3998256706312175569797240759', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1], 'jinv': [17997824, 22491], 'lmfdb_iso': '97104.q', 'lmfdb_label': '97104.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 35, 73], 'min_quad_twist_disc': -68, 'modell_images': [], 'modm_images': ['102.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.66010941674069752544815681511', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 867], [3, 4, 32368], [7, 8, 13872], [17, 162, 336]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.47887912177018735608986464734', 'prec': 107}, 'szpiro_ratio': 3.4308346027779866, '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, -1, 0, 1, 0, 1, 0, -1, 0, -7, 0, 1, 0, 0, 0, -3, 0], 'aplist': [0, -1, -1, 1, -1, -7, 0, -3, -9, -6, 4, 10, -3, -3, 8, -4, -12, 6, 8, -8, 10, 0, -10, -8, 12], 'class_deg': 1, 'class_size': 1, 'conductor': 97104, 'isogeny_matrix': [[1]], 'lmfdb_iso': '97104.q', 'trace_hash': 1954457402337519770}
• 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': '0.060831268281437960151614706766', 'prec': 107}, 'conductor': 97104, 'gens': [[57, 578, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.66010941674069752544815681511', 'prec': 103}], 'lmfdb_label': '97104.q1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.31160437587224984815119955577', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2910877249740788479451171492482943863', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': [57, 176]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [4, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '97104.q1'}
• ec_torsion_growth •

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

  
  
  • id: 4516371
    {'degree': 3, 'field': [-3, 1, -1, 1], 'lmfdb_label': '97104.q1', 'torsion': [2]}
  • id: 4516372
    {'degree': 6, 'field': [9, -27, 30, -15, 4, -1, 1], 'lmfdb_label': '97104.q1', 'torsion': [2, 2]}
  • id: 4516373
    {'degree': 8, 'field': [-7803, 0, 3060, 0, -306, 0, 0, 0, 1], 'lmfdb_label': '97104.q1', 'torsion': [3]}
  • id: 4516374
    {'degree': 12, 'field': [2312, 4624, -10608, 13192, -11220, 6120, -2344, 568, -30, -24, 16, -6, 1], 'lmfdb_label': '97104.q1', 'torsion': [4]}
• 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: 2381403
    {'conductor': 97104, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '97104.q1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2381404
    {'conductor': 97104, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '97104.q1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2381405
    {'conductor': 97104, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '97104.q1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2381406
    {'conductor': 97104, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '97104.q1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'adelic_gens': [[1, 2, 0, 1], [1, 1, 101, 0], [1, 0, 2, 1], [35, 2, 35, 3], [37, 2, 37, 3], [101, 2, 100, 3]], 'adelic_image': '102.2.0.?', 'conductor': 97104, 'lmfdb_label': '97104.q1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 5049391
    {'lmfdb_iso': '97104.q', 'p': 5, 'prec': 20, 'unit': 17822135993816, 'val': 1}
  • id: 5049390
    {'lmfdb_iso': '97104.q', 'p': 11, 'prec': 20, 'unit': 5346950516096180116, 'val': 1}
  • id: 5049397
    {'lmfdb_iso': '97104.q', 'p': 13, 'prec': 20, 'unit': 797595048260048052069, 'val': 1}
  • id: 5049399
    {'lmfdb_iso': '97104.q', 'p': 19, 'prec': 20, 'unit': 812143420689686924472110, 'val': 1}
  • id: 5049402
    {'lmfdb_iso': '97104.q', 'p': 23, 'prec': 20, 'unit': 55650638967512906731535916, 'val': 1}
  • id: 5049396
    {'lmfdb_iso': '97104.q', 'p': 29, 'prec': 20, 'unit': 4011998355262264702626253000, 'val': 1}
  • id: 5049393
    {'lmfdb_iso': '97104.q', 'p': 31, 'prec': 20, 'unit': 507741492800039834590065837, 'val': 2}
  • id: 5049407
    {'lmfdb_iso': '97104.q', 'p': 37, 'prec': 20, 'unit': 374601219669684123771638790879, 'val': 1}
  • id: 5049394
    {'lmfdb_iso': '97104.q', 'p': 41, 'prec': 20, 'unit': 1802175170655862814122085836007, 'val': 1}
  • id: 5049395
    {'lmfdb_iso': '97104.q', 'p': 43, 'prec': 20, 'unit': 397476256850180610787336168678, 'val': 1}
  • id: 5049398
    {'lmfdb_iso': '97104.q', 'p': 47, 'prec': 20, 'unit': 56804030716498481021979596620071, 'val': 1}
  • id: 5049400
    {'lmfdb_iso': '97104.q', 'p': 53, 'prec': 20, 'unit': 104765778205850126358128576649792, 'val': 1}
  • id: 5049404
    {'lmfdb_iso': '97104.q', 'p': 59, 'prec': 20, 'unit': 3359937153072223870255533811140028, 'val': 1}
  • id: 5049405
    {'lmfdb_iso': '97104.q', 'p': 61, 'prec': 20, 'unit': 1388126915815626879808600254211579, 'val': 1}
  • id: 5049389
    {'lmfdb_iso': '97104.q', 'p': 67, 'prec': 20, 'unit': 21350624818746353580484927915136055, 'val': 1}
  • id: 5049392
    {'lmfdb_iso': '97104.q', 'p': 71, 'prec': 20, 'unit': 104886685954131312556939134925111237, 'val': 1}
  • id: 5049401
    {'lmfdb_iso': '97104.q', 'p': 73, 'prec': 20, 'unit': 242414612220614844701193343389934657, 'val': 1}
  • id: 5049406
    {'lmfdb_iso': '97104.q', 'p': 83, 'prec': 20, 'unit': 759172467883563316399468526493500596, 'val': 1}
  • id: 5049403
    {'lmfdb_iso': '97104.q', 'p': 89, 'prec': 20, 'unit': 3893990170912021059495605623529980259, 'val': 1}
  • id: 5049388
    {'lmfdb_iso': '97104.q', 'p': 97, 'prec': 20, 'unit': 18826727036164417856334014092094367141, 'val': 1}