Elliptic curve data - 46410.o2

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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': '46410o', 'Clabel': '46410o1', 'Cnumber': 1, 'abc_quality': 0.8746974850678519, 'absD': 14845259520, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 92820, 'ainvs': [1, 1, 0, 193, -5691], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 46410, 'degree': 43008, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.63216299826831561362013143457', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [788632918919, 14845259520], 'lmfdb_iso': '46410.o', 'lmfdb_label': '46410.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 193, -5691], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '204.6.0.?', '910.6.0.?', '92820.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0837089092589128500128308813', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.63216299826831561362013143457', 'prec': 103}, 'szpiro_ratio': 2.8705132992834255, '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, -1, -1, 1, 1, 1, 1, -1, 1, -1, -2, -1, -1, -1, -1, 1, -1, -1, 0, 1], 'aplist': [-1, -1, 1, 1, -2, -1, -1, 0, 2, 2, 8, -2, -10, 10, 0, 4, 12, -8, -4, 6, 8, -16, -16, 2, -16], 'class_deg': 2, 'class_size': 2, 'conductor': 46410, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '46410.o', 'trace_hash': 910423254490780215}
• 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': '0.28242959052595430276930797276', 'prec': 103}, 'conductor': 46410, 'gens': [[30, 153, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0837089092589128500128308813', 'prec': 100}], 'lmfdb_label': '46410.o2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.60698286072861310915448492871', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9467564036343595199105471772883871819', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[14, -7, 1]], 'xcoord_integral_points': [14, 30, 65]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': [1, 0], '5': [4, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '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': '46410.o2'}
• ec_torsion_growth •

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

  
  
  • id: 2264029
    {'degree': 2, 'field': [114, -1, 1], 'lmfdb_label': '46410.o2', 'torsion': [2, 2]}
  • id: 2264030
    {'degree': 4, 'field': [-716, -428, -30, -2, 1], 'lmfdb_label': '46410.o2', 'torsion': [4]}
  • id: 2264033
    {'degree': 8, 'field': [-424128, 0, 54508, 0, -2256, 0, 0, 0, 1], 'lmfdb_label': '46410.o2', 'torsion': [6]}
  • id: 2264031
    {'degree': 8, 'field': [1507780, 1176220, 633194, 154758, 26915, 1650, 125, -2, 1], 'lmfdb_label': '46410.o2', 'torsion': [2, 4]}
  • id: 2264032
    {'degree': 8, 'field': [8099716, 0, -30699, 0, -3854, 0, 6, 0, 1], 'lmfdb_label': '46410.o2', 'torsion': [2, 4]}
  • id: 2264035
    {'degree': 16, 'field': [8889834907716, -2622415341, 2043532412476, -165747353365, 76358980465, -5857185967, 4144121731, -258149854, 84354095, -5129435, 1768970, -79741, 19543, -805, 235, -4, 1], 'lmfdb_label': '46410.o2', 'torsion': [2, 6]}
  • id: 2264034
    {'degree': 16, 'field': [18330379539865, -162128222200, 243959218856, -165472150824, 87190975154, -5152422680, 1406827372, 242697888, -31194365, -19676424, 3953404, -3664, -4546, 2352, -316, -8, 1], 'lmfdb_label': '46410.o2', '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: 1106532
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '46410.o2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1106533
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '46410.o2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1106534
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '46410.o2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1106535
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '46410.o2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1106536
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '46410.o2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1106537
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '46410.o2', 'prime': 17, '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: 1973417
    {'adelic_gens': [[55694, 1, 18563, 0], [1, 2, 2, 5], [26522, 1, 79559, 0], [1, 4, 0, 1], [35702, 1, 28559, 0], [92817, 4, 92816, 5], [30941, 4, 61882, 9], [65521, 4, 38222, 9], [23209, 69616, 23204, 69615], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '92820.12.0.?', 'conductor': 46410, 'lmfdb_label': '46410.o2', 'prime': 0}
  • id: 200952
    {'conductor': 46410, 'elladic_image': '2.3.0.1', 'lmfdb_label': '46410.o2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2325484
    {'lmfdb_iso': '46410.o', 'p': 11, 'prec': 20, 'unit': 37746692496647083571, 'val': 1}
  • id: 2325494
    {'lmfdb_iso': '46410.o', 'p': 23, 'prec': 20, 'unit': 60988466088825850291139035, 'val': 1}
  • id: 2325489
    {'lmfdb_iso': '46410.o', 'p': 29, 'prec': 20, 'unit': 5341619212247508347114123429, 'val': 1}
  • id: 2325498
    {'lmfdb_iso': '46410.o', 'p': 31, 'prec': 20, 'unit': 12503213894291419209075372076, 'val': 1}
  • id: 2325485
    {'lmfdb_iso': '46410.o', 'p': 37, 'prec': 20, 'unit': 340143959470108907382120657580, 'val': 1}
  • id: 2325487
    {'lmfdb_iso': '46410.o', 'p': 41, 'prec': 20, 'unit': 1507008351944050091611522118882, 'val': 1}
  • id: 2325488
    {'lmfdb_iso': '46410.o', 'p': 43, 'prec': 20, 'unit': 4026995112137468343649530681927, 'val': 1}
  • id: 2325492
    {'lmfdb_iso': '46410.o', 'p': 53, 'prec': 20, 'unit': 495092036232883834312457771470279, 'val': 1}
  • id: 2325496
    {'lmfdb_iso': '46410.o', 'p': 59, 'prec': 20, 'unit': 3803943533834307524454541046624179, 'val': 1}
  • id: 2325497
    {'lmfdb_iso': '46410.o', 'p': 61, 'prec': 20, 'unit': 3514421737645311439131496703481645, 'val': 1}
  • id: 2325483
    {'lmfdb_iso': '46410.o', 'p': 67, 'prec': 20, 'unit': 1004973882464775057896689177487868, 'val': 1}
  • id: 2325486
    {'lmfdb_iso': '46410.o', 'p': 71, 'prec': 20, 'unit': 131333699791250304059212503210292292, 'val': 1}
  • id: 2325493
    {'lmfdb_iso': '46410.o', 'p': 73, 'prec': 20, 'unit': 1860665150462760656419791381849386, 'val': 2}
  • id: 2325490
    {'lmfdb_iso': '46410.o', 'p': 79, 'prec': 20, 'unit': 77470228965896783808257423651026194, 'val': 1}
  • id: 2325491
    {'lmfdb_iso': '46410.o', 'p': 83, 'prec': 20, 'unit': 2868688455688230464125935007867348369, 'val': 1}
  • id: 2325495
    {'lmfdb_iso': '46410.o', 'p': 89, 'prec': 20, 'unit': 8262564653296049712430884603547834986, 'val': 1}
  • id: 2325482
    {'lmfdb_iso': '46410.o', 'p': 97, 'prec': 20, 'unit': 130196063962664783553734388671323944, 'val': 1}