Elliptic curve data - 234650.n3

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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': '234650n', 'Clabel': '234650n2', 'Cnumber': 2, 'abc_quality': 0.9774623648888189, 'absD': 7764408094726562500, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 29640, 'ainvs': [1, 0, 1, -113001, -134868352], 'analytic_rank': 1, 'bad_primes': [2, 5, 13, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 234650, 'degree': 8211456, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3046552942238518119057232695', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-217081801, 10562500], 'lmfdb_iso': '234650.n', 'lmfdb_label': '234650.n3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -13, 156], 'min_quad_twist_disc': -95, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.48.0.b.1', '260.12.0.?', '285.8.0.?', '380.12.0.?', '520.24.0.?', '570.24.0.?', '780.96.3.?', '988.12.0.?', '1140.96.0.?', '1560.192.9.?', '2964.96.0.?', '4940.24.0.?', '9880.48.0.?', '14820.192.3.?', '29640.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2200322475109897691367222858', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.027716848423581394600829886943', 'prec': 107}, 'szpiro_ratio': 4.121239052931748, '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, -2, 1, 0, 2, 4, -1, 1, 0, -6, -2, 1, -4, 0, 1, 6, -1, 0, 0], 'aplist': [-1, -2, 0, 4, -6, 1, 6, 0, -6, 6, -2, 2, 6, -2, 12, 6, -6, 2, -4, 6, 10, 4, 0, 6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 234650, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '234650.n', 'trace_hash': 1847485034773805720}
• 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': '0.0099586815718911306494617456225', 'prec': 110}, 'conductor': 234650, 'gens': [[947, 24176, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.2200322475109897691367222858', 'prec': 100}], 'lmfdb_label': '234650.n3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10259973298963417155689019159', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2845913183352600490716760788765861510', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[2343, -2347, 2]], 'xcoord_integral_points': [947]}
• lmfdb_label 234650.n3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10150535
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '234650.n3', 'torsion': [2, 2]}
  • id: 10150536
    {'degree': 2, 'field': [24, -1, 1], 'lmfdb_label': '234650.n3', 'torsion': [6]}
  • id: 10150537
    {'degree': 4, 'field': [-364, 156, -3, -1, 1], 'lmfdb_label': '234650.n3', 'torsion': [4]}
  • id: 10150538
    {'degree': 4, 'field': [576, 0, -47, 0, 1], 'lmfdb_label': '234650.n3', 'torsion': [2, 6]}
  • id: 10150539
    {'degree': 6, 'field': [-328509, -4761, -9614, -579, -20, -3, 1], 'lmfdb_label': '234650.n3', 'torsion': [6]}
  • id: 10150542
    {'degree': 8, 'field': [1544, -1796, 1875, -589, 437, -196, 23, -3, 1], 'lmfdb_label': '234650.n3', 'torsion': [12]}
  • id: 10150541
    {'degree': 8, 'field': [11236, 2756, -4818, -214, 575, -158, 33, -2, 1], 'lmfdb_label': '234650.n3', 'torsion': [2, 12]}
  • id: 10150540
    {'degree': 8, 'field': [132496, 0, 22152, 0, -407, 0, 7, 0, 1], 'lmfdb_label': '234650.n3', 'torsion': [2, 4]}
  • id: 10150543
    {'degree': 12, 'field': [180552969, 0, 44353179, 0, 4643830, 0, 266903, 0, 8514, 0, 143, 0, 1], 'lmfdb_label': '234650.n3', 'torsion': [3, 6]}
  • id: 10150544
    {'degree': 12, 'field': [135146324209, -4308204888, 10906903345, -372767734, 387379722, -13012476, 7428493, -205968, 78628, -1478, 435, -4, 1], 'lmfdb_label': '234650.n3', 'torsion': [2, 6]}
  • id: 10150546
    {'degree': 16, 'field': [-11012171024, -105433004736, 73718423744, -23326158976, 1203710456, 1149731232, -545366544, 109322112, -12861073, 586068, 74816, 3448, -339, 316, 54, -4, 1], 'lmfdb_label': '234650.n3', 'torsion': [8]}
  • id: 10150545
    {'degree': 16, 'field': [2383936, 0, -2564384, 0, 2749393, 0, -658821, 0, 38643, 0, 18098, 0, 227, 0, -37, 0, 1], 'lmfdb_label': '234650.n3', 'torsion': [4, 12]}
  • id: 10150547
    {'degree': 18, 'field': [3575579696, -1543875216, 71908824, 85495636, -48332400, 27380454, -8246299, 2690586, -665676, -64575, 84699, -26184, 7321, -3486, 975, -149, 24, -6, 1], 'lmfdb_label': '234650.n3', '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: 5815252
    {'conductor': 234650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '234650.n3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5815253
    {'conductor': 234650, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '234650.n3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 5815254
    {'conductor': 234650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '234650.n3', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5815255
    {'conductor': 234650, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '234650.n3', 'prime': 19, 'reduction_type': 0, '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: 3157551
    {'adelic_gens': [[13, 24, 28932, 28333], [14039, 0, 0, 29639], [14821, 10944, 0, 1], [22231, 10944, 21261, 6385], [25575, 12502, 26942, 11363], [10601, 14022, 23142, 7181], [1, 24, 0, 1], [29617, 24, 29616, 25], [15, 16, 314, 335], [1, 0, 24, 1], [5739, 17176, 9766, 23523]], 'adelic_image': '29640.384.9.?', 'conductor': 234650, 'lmfdb_label': '234650.n3', 'prime': 0}
  • id: 853114
    {'conductor': 234650, 'elladic_image': '4.6.0.5', 'lmfdb_label': '234650.n3', 'modell_image': '2B', 'prime': 2}
  • id: 853115
    {'conductor': 234650, 'elladic_image': '3.4.0.1', 'lmfdb_label': '234650.n3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 234650.n does not appear in ec_padic