Elliptic curve data - 223146.j1

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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': '223146cn', 'Clabel': '223146cn2', 'Cnumber': 2, 'abc_quality': 0.969879037258856, 'absD': 100002263089645224, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 42504, 'ainvs': [1, -1, 0, -2119896, -1187382344], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 223146, 'degree': 7838208, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2989905390035565634712249430', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 9, 'isogeny_degrees': [1, 3], 'jinv': [12284337086925553, 1165987944], 'lmfdb_iso': '223146.j', 'lmfdb_label': '223146.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -4807, -128671], 'min_quad_twist_disc': 21, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.1', '2024.2.0.?', '6072.8.0.?', '42504.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9876656655634105111274208851', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 111573], [3, 8, 49], [7, 26, 4554], [11, 12, 20286], [23, 24, 9702]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.77672932014184506522092595282', 'prec': 103}, 'szpiro_ratio': 4.491402688835309, '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, -1, 0, 1, -3, 0, 0, -1, 0, 3, 1, 0, 7, 0, 0, 1, -3, 0, -8, -3], 'aplist': [-1, 0, -3, 0, 1, 7, -3, -8, 1, 9, 7, -7, -6, 2, 9, 6, 0, -8, 5, 15, -2, 11, 6, 0, -2], 'class_deg': 3, 'class_size': 2, 'conductor': 223146, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '223146.j', 'trace_hash': 1534245639442288010}
• 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': '0.010072150116553236494749685870', 'prec': 107}, 'conductor': 223146, 'gens': [[-841, 731, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9876656655634105111274208851', 'prec': 100}], 'lmfdb_label': '223146.j1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12511903313212494374581414360', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4765065127738796764823087067399708602', 'prec': 130}, 'tamagawa_product': 18, 'torsion_generators': [], 'xcoord_integral_points': [-841]}
• lmfdb_label 223146.j1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9706838
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '223146.j1', 'torsion': [3]}
  • id: 9706839
    {'degree': 3, 'field': [-6, -10, -1, 1], 'lmfdb_label': '223146.j1', 'torsion': [2]}
  • id: 9706841
    {'degree': 6, 'field': [-3, 0, 0, -18, 0, 0, 1], 'lmfdb_label': '223146.j1', 'torsion': [3]}
  • id: 9706840
    {'degree': 6, 'field': [16, -208, 162, 60, -51, -2, 1], 'lmfdb_label': '223146.j1', 'torsion': [2, 2]}
  • id: 9706842
    {'degree': 6, 'field': [396, -330, 104, 29, -15, -1, 1], 'lmfdb_label': '223146.j1', 'torsion': [6]}
  • id: 9706843
    {'degree': 12, 'field': [-4441890654, -17603522712, -6935371011, -583167102, 157531147, 23565200, -2193612, -309360, 15742, 1872, -21, -2, 1], 'lmfdb_label': '223146.j1', 'torsion': [4]}
  • id: 9706844
    {'degree': 12, 'field': [576, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '223146.j1', 'torsion': [3, 3]}
  • id: 9706845
    {'degree': 12, 'field': [16378784, 964096, -948676, -30272, 14172, -164, 2389, -2270, 911, -240, 59, -6, 1], 'lmfdb_label': '223146.j1', 'torsion': [2, 6]}
  • id: 9706847
    {'degree': 18, 'field': [3163344, 1575108, -12340323, -33375246, -20398977, 11544030, 12247069, -427764, -2364318, -167056, 265074, 33792, -22594, -3480, 1365, 190, -45, -6, 1], 'lmfdb_label': '223146.j1', 'torsion': [6]}
  • id: 9706846
    {'degree': 18, 'field': [865669211, 7654412931, 19015014777, 11348968490, 12445785081, 3172950678, 959024134, 33396213, -57952272, -16223496, 3139956, -195795, 194249, -31653, 7977, -610, 138, -9, 1], 'lmfdb_label': '223146.j1', 'torsion': [9]}
• 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: 5534751
    {'conductor': 223146, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '223146.j1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5534752
    {'conductor': 223146, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '223146.j1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5534753
    {'conductor': 223146, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '223146.j1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 5534754
    {'conductor': 223146, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '223146.j1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 5534755
    {'conductor': 223146, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '223146.j1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 3088779
    {'adelic_gens': [[22177, 30366, 17955, 6091], [4, 3, 9, 7], [42499, 6, 42498, 7], [24287, 0, 0, 42503], [9358, 27069, 22001, 33389], [21253, 30366, 15183, 6091], [15457, 30366, 40299, 6091], [31879, 30366, 0, 1], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '42504.16.0.?', 'conductor': 223146, 'lmfdb_label': '223146.j1', 'prime': 0}
  • id: 817495
    {'conductor': 223146, 'elladic_image': '3.4.0.1', 'lmfdb_label': '223146.j1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 223146.j does not appear in ec_padic