Elliptic curve data - 90090.o4

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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': '90090z', 'Clabel': '90090z2', 'Cnumber': 2, 'abc_quality': 0.9222256834848271, 'absD': 10694646251289000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120120, 'ainvs': [1, -1, 0, 25290, 4722300], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 90090, 'degree': 691200, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7576169851886225051621820250', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2453765252833439, 14670296641000], 'lmfdb_iso': '90090.o', 'lmfdb_label': '90090.o4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 2810, -174900], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '40.6.0.a.1', '120.48.0.?', '4004.6.0.?', '12012.48.0.?', '40040.12.0.?', '120120.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 45], [3, 2, 91], [5, 6, 18018], [7, 8, 12870], [11, 12, 8190], [13, 14, 6930]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2083108408545676594645594065', 'prec': 100}, 'szpiro_ratio': 3.879667306384187, '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, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, 6, 0, -4, -1], 'aplist': [-1, 0, -1, 1, -1, 1, 6, -4, 0, 0, -4, 2, 6, 2, 0, -6, -12, 2, 14, -6, -4, -10, -6, -6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 90090, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '90090.o', 'trace_hash': 1387789345575776815}
• 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': '0.029740843663583828749051229674', 'prec': 107}, 'conductor': 90090, 'gens': [], 'heights': [], 'lmfdb_label': '90090.o4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.29327152924992296855268590947', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1730861169996918742107436378953477134', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-477, 477, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': 'a', '5': [0, 0], '7': [1, 0], '11': [0, 0], '13': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '90090.o4'}
• ec_torsion_growth •

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

  
  
  • id: 4209579
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '90090.o4', 'torsion': [6]}
  • id: 4209578
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '90090.o4', 'torsion': [2, 2]}
  • id: 4209580
    {'degree': 3, 'field': [-91, 0, 0, 1], 'lmfdb_label': '90090.o4', 'torsion': [6]}
  • id: 4209581
    {'degree': 4, 'field': [-90, 0, -93, 0, 1], 'lmfdb_label': '90090.o4', 'torsion': [4]}
  • id: 4209582
    {'degree': 4, 'field': [100, 0, -10, 0, 1], 'lmfdb_label': '90090.o4', 'torsion': [2, 6]}
  • id: 4209583
    {'degree': 6, 'field': [300, 30, -29, -3, 4, -3, 1], 'lmfdb_label': '90090.o4', 'torsion': [3, 6]}
  • id: 4209584
    {'degree': 6, 'field': [9281, 5460, 300, -182, 30, 0, 1], 'lmfdb_label': '90090.o4', 'torsion': [2, 6]}
  • id: 4209587
    {'degree': 8, 'field': [100, 0, 310, 0, 971, 0, -31, 0, 1], 'lmfdb_label': '90090.o4', 'torsion': [12]}
  • id: 4209586
    {'degree': 8, 'field': [335731, -187964, 43550, -10256, 4219, -136, 110, -4, 1], 'lmfdb_label': '90090.o4', 'torsion': [2, 4]}
  • id: 4209585
    {'degree': 8, 'field': [883600, 0, 223120, 0, 7209, 0, -146, 0, 1], 'lmfdb_label': '90090.o4', 'torsion': [2, 4]}
  • id: 4209589
    {'degree': 12, 'field': [-90000000, 0, 36363000, 0, -3171500, 0, 111910, 0, -229, 0, -31, 0, 1], 'lmfdb_label': '90090.o4', 'torsion': [12]}
  • id: 4209588
    {'degree': 12, 'field': [576100, -1806000, 1942220, -297060, 211611, -80046, 34117, -6750, 2166, -330, 77, -6, 1], 'lmfdb_label': '90090.o4', 'torsion': [6, 6]}
  • id: 4209592
    {'degree': 16, 'field': [177156100, -64420400, 43923000, 7453600, -37510, 3296040, 467500, 371800, 36611, 22316, 12910, -176, 479, -176, 30, -4, 1], 'lmfdb_label': '90090.o4', 'torsion': [2, 12]}
  • id: 4209591
    {'degree': 16, 'field': [2342560000, 0, -851840000, 0, 205167600, 0, -28160000, 0, 2826321, 0, -185222, 0, 8243, 0, -102, 0, 1], 'lmfdb_label': '90090.o4', 'torsion': [2, 12]}
  • id: 4209590
    {'degree': 16, 'field': [17442484900, 0, 12747295600, 0, 5746765020, 0, -4915382680, 0, -571506931, 0, -12114856, 0, 21570, 0, -416, 0, 1], 'lmfdb_label': '90090.o4', 'torsion': [8]}
  • id: 4209593
    {'degree': 18, 'field': [100000000, 30000000, 966000000, -1823300000, 8742660000, -7458057000, 7677664100, 1499750400, 336876000, -32671680, -6242490, -1456560, 253491, 28767, 1416, -577, -24, -3, 1], 'lmfdb_label': '90090.o4', 'torsion': [18]}
• 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: 2201549
    {'conductor': 90090, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '90090.o4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2201550
    {'conductor': 90090, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '90090.o4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2201551
    {'conductor': 90090, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '90090.o4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2201552
    {'conductor': 90090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '90090.o4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2201553
    {'conductor': 90090, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '90090.o4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2201554
    {'conductor': 90090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '90090.o4', '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: 2257149
    {'adelic_gens': [[51481, 12, 68646, 73], [120109, 12, 120108, 13], [10, 3, 60033, 120112], [80071, 120118, 19962, 120107], [1, 0, 12, 1], [76441, 12, 98286, 73], [25026, 5017, 85085, 65066], [1, 6, 6, 37], [1, 12, 0, 1], [36961, 12, 101646, 73], [11, 2, 120070, 120111], [10, 3, 48021, 120112]], 'adelic_image': '120120.96.1.?', 'conductor': 90090, 'lmfdb_label': '90090.o4', 'prime': 0}
  • id: 365932
    {'conductor': 90090, 'elladic_image': '2.3.0.1', 'lmfdb_label': '90090.o4', 'modell_image': '2B', 'prime': 2}
  • id: 365933
    {'conductor': 90090, 'elladic_image': '3.8.0.2', 'lmfdb_label': '90090.o4', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 90090.o does not appear in ec_padic