Elliptic curve data - 93600.et1

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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': '93600dn', 'Clabel': '93600dn4', 'Cnumber': 4, 'abc_quality': 1.0847562556631796, 'absD': 5303399073921000000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 3120, 'ainvs': [0, 0, 0, -51192075, -140934735250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 93600, 'degree': 9437184, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1378166231036875101344478814', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 123, 'isogeny_degrees': [1, 2, 4], 'jinv': [2543984126301795848, 909361981125], 'lmfdb_iso': '93600.et', 'lmfdb_label': '93600.et1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -227520, -41682600], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '24.24.0-8.o.1.4', '40.24.0.by.1', '60.12.0-4.c.1.2', '80.48.0.?', '120.48.0.?', '208.24.0.?', '240.96.0.?', '624.48.0.?', '1040.96.3.?', '3120.192.3.?'], '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': '8.4886787579215253034283157419', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 8, 10400], [5, 18, 3744], [13, 14, 7200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2639311371326234950735215052', 'prec': 100}, 'szpiro_ratio': 5.66682130897611, '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, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, 0, -8, 0], 'aplist': [0, 0, 0, 4, 0, -1, 2, -8, -4, -6, 8, -6, 6, -4, -4, 6, 8, -10, 4, 8, 14, 0, -12, 6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 93600, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '93600.et', 'trace_hash': 1910595129487947108}
• 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': '0.0018815991609055428867151179725', 'prec': 110}, 'conductor': 93600, 'gens': [[1257745, 892914750, 11]], 'heights': [{'__RealLiteral__': 0, 'data': '8.4886787579215253034283157419', 'prec': 100}], 'lmfdb_label': '93600.et1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.056442752940919566846040449963', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.6659903668511460505893667472335425059', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-4190, 0, 1]], 'xcoord_integral_points': [-4190]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '93600.et1'}
• ec_torsion_growth •

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

  
  
  • id: 4366767
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '93600.et1', 'torsion': [2, 2]}
  • id: 4366768
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '93600.et1', 'torsion': [4]}
  • id: 4366769
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '93600.et1', 'torsion': [4]}
  • id: 4366770
    {'degree': 4, 'field': [16, 0, -2, 0, 1], 'lmfdb_label': '93600.et1', 'torsion': [2, 4]}
  • id: 4366774
    {'degree': 8, 'field': [-16875, 0, -12000, 0, -450, 0, 0, 0, 1], 'lmfdb_label': '93600.et1', 'torsion': [6]}
  • id: 4366773
    {'degree': 8, 'field': [10000, 0, 2000, 0, 210, 0, 20, 0, 1], 'lmfdb_label': '93600.et1', 'torsion': [2, 8]}
  • id: 4366772
    {'degree': 8, 'field': [456976, 0, 52728, 0, 4394, 0, -78, 0, 1], 'lmfdb_label': '93600.et1', 'torsion': [8]}
  • id: 4366771
    {'degree': 8, 'field': [45278481, 7023120, 216304, 2080, -13454, -1040, -16, 0, 1], 'lmfdb_label': '93600.et1', 'torsion': [2, 4]}
  • id: 4366778
    {'degree': 16, 'field': [186624, 0, 165888, 0, 535392, 0, 27648, 0, 4725, 0, 1056, 0, 126, 0, 0, 0, 1], 'lmfdb_label': '93600.et1', 'torsion': [12]}
  • id: 4366777
    {'degree': 16, 'field': [39000025, 0, -140138280, 0, 65996524, 0, -12221720, 0, 1054926, 0, -53816, 0, 2236, 0, -72, 0, 1], 'lmfdb_label': '93600.et1', 'torsion': [2, 6]}
  • id: 4366779
    {'degree': 16, 'field': [4995743190, -3492296400, -281330676, 597870168, -6160584, -50179896, -2776964, 3661888, 620940, -477988, 95180, -13272, 794, 260, -24, -8, 1], 'lmfdb_label': '93600.et1', 'torsion': [12]}
  • id: 4366776
    {'degree': 16, 'field': [18111947850, -4668485400, -2498586660, -403933920, 698370886, -27805480, -30822944, -6463044, 3218715, 71236, -58920, -16828, 3702, 108, -20, -8, 1], 'lmfdb_label': '93600.et1', 'torsion': [2, 8]}
  • id: 4366775
    {'degree': 16, 'field': [8225114258916, -2523333608640, 387059212800, -44583240000, 22636424236, -4576772720, 459680000, -24623040, 17329341, -2636920, 135200, 1040, 6746, -520, 0, 0, 1], 'lmfdb_label': '93600.et1', 'torsion': [4, 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: 2293030
    {'conductor': 93600, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '93600.et1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2293031
    {'conductor': 93600, 'conductor_valuation': 2, 'discriminant_valuation': 22, 'j_denominator_valuation': 16, 'kodaira_symbol': -20, 'lmfdb_label': '93600.et1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2293032
    {'conductor': 93600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '93600.et1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2293033
    {'conductor': 93600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '93600.et1', 'prime': 13, '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: 2280305
    {'adelic_gens': [[1039, 0, 0, 3119], [1834, 783, 93, 1060], [1, 16, 0, 1], [15, 166, 2834, 3075], [1, 8, 8, 65], [2641, 1056, 1368, 2209], [787, 270, 2352, 853], [1, 0, 16, 1], [1442, 3117, 1779, 2060], [3105, 16, 3104, 17]], 'adelic_image': '3120.192.3.?', 'conductor': 93600, 'lmfdb_label': '93600.et1', 'prime': 0}
  • id: 378841
    {'conductor': 93600, 'elladic_image': '8.12.0.10', 'lmfdb_label': '93600.et1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4860745
    {'lmfdb_iso': '93600.et', 'p': 7, 'prec': 20, 'unit': 1423170221554425, 'val': 1}
  • id: 4860750
    {'lmfdb_iso': '93600.et', 'p': 17, 'prec': 20, 'unit': 153645879872469360311417, 'val': 1}
  • id: 4860741
    {'lmfdb_iso': '93600.et', 'p': 19, 'prec': 20, 'unit': 718286030081622085450471, 'val': 1}
  • id: 4860754
    {'lmfdb_iso': '93600.et', 'p': 23, 'prec': 20, 'unit': 44509789880109250228698222, 'val': 1}
  • id: 4860748
    {'lmfdb_iso': '93600.et', 'p': 29, 'prec': 20, 'unit': 2283336929952871610812203185, 'val': 1}
  • id: 4860759
    {'lmfdb_iso': '93600.et', 'p': 31, 'prec': 20, 'unit': 5155767661324099045626897852, 'val': 1}
  • id: 4860744
    {'lmfdb_iso': '93600.et', 'p': 37, 'prec': 20, 'unit': 225454713347184622984265131857, 'val': 1}
  • id: 4860746
    {'lmfdb_iso': '93600.et', 'p': 41, 'prec': 20, 'unit': 4036305728592383273598166057862, 'val': 1}
  • id: 4860747
    {'lmfdb_iso': '93600.et', 'p': 43, 'prec': 20, 'unit': 8213719174870330422856650393384, 'val': 1}
  • id: 4860749
    {'lmfdb_iso': '93600.et', 'p': 47, 'prec': 20, 'unit': 47398189302112567258968600213501, 'val': 1}
  • id: 4860752
    {'lmfdb_iso': '93600.et', 'p': 53, 'prec': 20, 'unit': 525302275819992623754381291728532, 'val': 1}
  • id: 4860757
    {'lmfdb_iso': '93600.et', 'p': 59, 'prec': 20, 'unit': 2476886017964034985896854922739230, 'val': 1}
  • id: 4860758
    {'lmfdb_iso': '93600.et', 'p': 61, 'prec': 20, 'unit': 3720493049157166349284294815520113, 'val': 1}
  • id: 4860743
    {'lmfdb_iso': '93600.et', 'p': 67, 'prec': 20, 'unit': 16697920678699010002499919030223409, 'val': 1}
  • id: 4860756
    {'lmfdb_iso': '93600.et', 'p': 71, 'prec': 20, 'unit': 123831528808185676087288456434970512, 'val': 1}
  • id: 4860753
    {'lmfdb_iso': '93600.et', 'p': 73, 'prec': 20, 'unit': 162852021544225150745761124884270836, 'val': 1}
  • id: 4860751
    {'lmfdb_iso': '93600.et', 'p': 83, 'prec': 20, 'unit': 2717089606668956518994508318600010474, 'val': 1}
  • id: 4860755
    {'lmfdb_iso': '93600.et', 'p': 89, 'prec': 20, 'unit': 7667045721678475585408906110300770298, 'val': 1}
  • id: 4860742
    {'lmfdb_iso': '93600.et', 'p': 97, 'prec': 20, 'unit': 55825189463778629599640184947321756264, 'val': 1}