Elliptic curve data - 141120.mc2

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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': '141120jf', 'Clabel': '141120jf4', 'Cnumber': 4, 'abc_quality': 1.0250305664622372, 'absD': 58300409588660305920, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 0, 0, -162599052, 798040774384], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 141120, 'degree': 14155776, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2117018584034993755044671546', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 314, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [21145699168383889, 2593080], 'lmfdb_iso': '141120.mc', 'lmfdb_label': '141120.mc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5761, 167825], 'min_quad_twist_disc': 168, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.96.0-24.bu.3.25', '40.12.0-4.c.1.3', '56.12.0.bb.1', '60.48.0.c.3', '84.48.0.?', '120.192.1.?', '168.192.1.?', '280.24.0.?', '420.96.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2205], [3, 2, 15680], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64971986870186991312831998223', 'prec': 103}, 'szpiro_ratio': 5.762999771548928, '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, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, 1, 0, 0, 2, -6, -4, 0, -6, 4, -2, 6, -8, -12, 6, 12, 2, -8, 0, -14, -16, -12, 6, -14], 'class_deg': 12, 'class_size': 8, 'conductor': 141120, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '141120.mc', 'trace_hash': 222084723137866331}
• 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': '0.0016231221737202491535572087577', 'prec': 110}, 'conductor': 141120, 'gens': [], 'heights': [], 'lmfdb_label': '141120.mc2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.15356461190034509406030423647', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2285168952027607524824338917877675167', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[7364, 0, 1]], 'xcoord_integral_points': [7364]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a'}, 'iwp0': 5, 'lmfdb_label': '141120.mc2'}
• ec_torsion_growth •

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

  
  
  • id: 6376451
    {'degree': 2, 'field': [-70, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [4]}
  • id: 6376453
    {'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [6]}
  • id: 6376450
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [2, 2]}
  • id: 6376452
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '141120.mc2', 'torsion': [4]}
  • id: 6376457
    {'degree': 4, 'field': [7, 14, -13, -2, 1], 'lmfdb_label': '141120.mc2', 'torsion': [12]}
  • id: 6376455
    {'degree': 4, 'field': [9, 0, -36, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [2, 6]}
  • id: 6376456
    {'degree': 4, 'field': [49, 0, -56, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [12]}
  • id: 6376454
    {'degree': 4, 'field': [100, 0, -50, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [2, 4]}
  • id: 6376458
    {'degree': 6, 'field': [896, 0, 1008, 0, -42, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [6]}
  • id: 6376460
    {'degree': 8, 'field': [1, 0, -34, 0, 186, 0, -34, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [8]}
  • id: 6376462
    {'degree': 8, 'field': [1225, 0, -1260, 0, 359, 0, -36, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [2, 12]}
  • id: 6376461
    {'degree': 8, 'field': [2500, 0, 1360, 0, 234, 0, 16, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [8]}
  • id: 6376459
    {'degree': 8, 'field': [275625, 0, -31500, 0, 2580, 0, -60, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [2, 4]}
  • id: 6376466
    {'degree': 12, 'field': [262144, 0, 204800, 0, 59648, 0, 9920, 0, 932, 0, 50, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [12]}
  • id: 6376463
    {'degree': 12, 'field': [451584, 0, 357504, 0, 273616, 0, 6104, 0, -336, 0, 14, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [3, 6]}
  • id: 6376465
    {'degree': 12, 'field': [893025, 0, 0, 0, 0, 0, -1540, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [12]}
  • id: 6376464
    {'degree': 12, 'field': [5085025, 0, 1884100, 0, 220200, 0, 4040, 0, -720, 0, -20, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [2, 6]}
  • id: 6376468
    {'degree': 16, 'field': [25, -900, 6050, 11000, -38260, -10680, 65810, -14520, -37679, 16752, 6598, -4376, -120, 364, -32, -8, 1], 'lmfdb_label': '141120.mc2', 'torsion': [2, 8]}
  • id: 6376471
    {'degree': 16, 'field': [11236, 0, -57992, 0, 112480, 0, -106412, 0, 52309, 0, -12968, 0, 1450, 0, -68, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [24]}
  • id: 6376467
    {'degree': 16, 'field': [44521, 0, 9308768, 0, 1764088, 0, 1892696, 0, 501430, 0, 2816, 0, -1352, 0, 8, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [4, 4]}
  • id: 6376469
    {'degree': 16, 'field': [50625, 0, 53100, 0, 83644, 0, -47448, 0, 12135, 0, 6200, 0, 540, 0, 12, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [2, 8]}
  • id: 6376472
    {'degree': 16, 'field': [387100, 192080, -252504, -438480, 105744, 159984, 51304, -67528, 3495, 14676, -3522, -1632, 467, 112, -30, -4, 1], 'lmfdb_label': '141120.mc2', 'torsion': [24]}
  • id: 6376470
    {'degree': 16, 'field': [481125136, 1437002880, 1573089120, 747141120, 142295224, 16612800, 10634040, 1273920, -489279, 47400, -8280, -8400, 814, -120, 0, 0, 1], 'lmfdb_label': '141120.mc2', 'torsion': [2, 12]}
  • id: 6376473
    {'degree': 18, 'field': [-154954331516, 83486566776, 4049288676, -21098323880, 8141603412, 1013476416, -1034908276, 63937296, 27498984, -1652036, 652344, -274644, 2783, 5658, -1077, 196, -9, -6, 1], 'lmfdb_label': '141120.mc2', '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: 3485551
    {'conductor': 141120, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '141120.mc2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3485552
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '141120.mc2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3485553
    {'conductor': 141120, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '141120.mc2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3485554
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '141120.mc2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2581086
    {'adelic_gens': [[599, 816, 468, 551], [1, 12, 12, 145], [352, 21, 555, 466], [15, 106, 374, 11], [824, 399, 145, 94], [214, 3, 255, 34], [817, 24, 816, 25], [1, 24, 0, 1], [594, 431, 805, 664], [1, 0, 24, 1]], 'adelic_image': '840.384.5.?', 'conductor': 141120, 'lmfdb_label': '141120.mc2', 'prime': 0}
  • id: 545201
    {'conductor': 141120, 'elladic_image': '4.6.0.1', 'lmfdb_label': '141120.mc2', 'modell_image': '2B', 'prime': 2}
  • id: 545202
    {'conductor': 141120, 'elladic_image': '3.4.0.1', 'lmfdb_label': '141120.mc2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 141120.mc does not appear in ec_padic