Elliptic curve data - 143650.x2

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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': '143650cb', 'Clabel': '143650cb1', 'Cnumber': 1, 'abc_quality': 0.9330638684099061, 'absD': 51893562500000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 26520, 'ainvs': [1, 1, 0, -192000, 32300000], 'analytic_rank': 1, 'bad_primes': [2, 5, 13, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 143650, 'degree': 1658880, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6876099130434567187509050840', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 3], 'jinv': [296431397798809, 19652000], 'lmfdb_iso': '143650.x', 'lmfdb_label': '143650.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7680, 258400], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '195.8.0.?', '680.2.0.?', '2040.8.0.?', '5304.8.0.?', '26520.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.8849877090762659815736029842', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 71825], [3, 2, 8450], [5, 18, 2873], [13, 38, 850], [17, 18, 8450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.45539939724948374210827751046', 'prec': 103}, 'szpiro_ratio': 4.051268710867825, '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, 2, 1, 0, -2, 5, -1, 1, 0, -3, 2, 0, -5, 0, 1, -1, -1, -2, 0], 'aplist': [-1, 2, 0, 5, -3, 0, -1, -2, 9, 6, -8, 2, -12, 1, 0, 6, -12, -13, 5, -12, 5, 2, -15, 9, 14], 'class_deg': 3, 'class_size': 2, 'conductor': 143650, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '143650.x', 'trace_hash': 2159398294707987478}
• 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': '0.034210597103325226921641756045', 'prec': 107}, 'conductor': 143650, 'gens': [[251, -124, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.8849877090762659815736029842', 'prec': 100}], 'lmfdb_label': '143650.x2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.59999131661886707426808546231', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.3238355624671397909355140090814085879', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [251]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '143650.x2'}
• ec_torsion_growth •

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

  
  
  • id: 6487532
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '143650.x2', 'torsion': [3]}
  • id: 6487533
    {'degree': 3, 'field': [116, -56, -1, 1], 'lmfdb_label': '143650.x2', 'torsion': [2]}
  • id: 6487534
    {'degree': 6, 'field': [-24480, 0, 4096, 0, -178, 0, 1], 'lmfdb_label': '143650.x2', 'torsion': [2, 2]}
  • id: 6487536
    {'degree': 6, 'field': [-260, 0, 169, 0, -26, 0, 1], 'lmfdb_label': '143650.x2', 'torsion': [6]}
  • id: 6487535
    {'degree': 6, 'field': [1221, -471, 58, -35, 8, -1, 1], 'lmfdb_label': '143650.x2', 'torsion': [3]}
  • id: 6487539
    {'degree': 12, 'field': [20736, -1085184, -3636576, -2378496, 936272, 773376, -149446, -56764, 9437, 1264, -216, -4, 1], 'lmfdb_label': '143650.x2', 'torsion': [2, 6]}
  • id: 6487538
    {'degree': 12, 'field': [32761, -62626, 97091, -12842, -14706, -5294, 6511, -742, 342, -154, 11, -2, 1], 'lmfdb_label': '143650.x2', 'torsion': [3, 3]}
  • id: 6487537
    {'degree': 12, 'field': [11800559200, 6489826376, -206649851, 352356110, -104650755, 21160000, -3431599, 254414, -15445, -440, 125, -6, 1], 'lmfdb_label': '143650.x2', 'torsion': [4]}
  • id: 6487540
    {'degree': 18, 'field': [-1593392464, 4206597840, -240360264, -18171497284, -14738136804, 2377021356, 5477010597, 690817479, -660277152, -112270072, 43080621, 5854479, -1629200, -125301, 32229, 1106, -300, -3, 1], 'lmfdb_label': '143650.x2', 'torsion': [9]}
  • id: 6487541
    {'degree': 18, 'field': [1643032000, -724048000, -1176578000, 504263200, 282466340, -98560800, 387561, 4705480, -6771830, 441120, 755911, -13520, -3048, 2080, -1521, -120, 26, 0, 1], 'lmfdb_label': '143650.x2', 'torsion': [6]}
• 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: 3551854
    {'conductor': 143650, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '143650.x2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3551855
    {'conductor': 143650, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '143650.x2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3551856
    {'conductor': 143650, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '143650.x2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3551857
    {'conductor': 143650, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '143650.x2', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 2597564
    {'adelic_gens': [[5303, 26514, 15909, 26501], [4, 3, 9, 7], [20403, 2, 6130, 7], [6631, 6, 0, 1], [13261, 6, 13263, 19], [12481, 6, 10923, 19], [26515, 6, 26514, 7], [5526, 21001, 1105, 2211], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '26520.16.0.?', 'conductor': 143650, 'lmfdb_label': '143650.x2', 'prime': 0}
  • id: 554316
    {'conductor': 143650, 'elladic_image': '3.4.0.1', 'lmfdb_label': '143650.x2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 143650.x does not appear in ec_padic