Elliptic curve data - 141120.mc7

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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': '141120jf1', 'Cnumber': 1, 'abc_quality': 0.9780810097967987, 'absD': 87025684283947745280, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 0, 0, -1157772, -168717584], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 141120, 'degree': 3538944, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5185546778435540660872350331', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 314, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [7633736209, 3870720], 'lmfdb_iso': '141120.mc', 'lmfdb_label': '141120.mc7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -41, -39], '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.bs.1.5', '40.12.0-4.c.1.3', '56.12.0.bb.1', '60.48.0.c.1', '84.48.0.?', '120.192.1.?', '168.192.1.?', '210.24.0.?', '280.24.0.?', '420.96.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 2205], [3, 2, 15680], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.043427311858075396288912139272', 'prec': 110}, 'szpiro_ratio': 4.511931882113657, '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': '0.0064924886948809966142288350308', 'prec': 110}, 'conductor': 141120, 'gens': [], 'heights': [], 'lmfdb_label': '141120.mc7', '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': [[-994, 0, 1]], 'xcoord_integral_points': [-994]}
• 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.mc7'}
• ec_torsion_growth •

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

  
  
  • id: 6376391
    {'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '141120.mc7', 'torsion': [6]}
  • id: 6376388
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '141120.mc7', 'torsion': [2, 2]}
  • id: 6376389
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '141120.mc7', 'torsion': [4]}
  • id: 6376390
    {'degree': 2, 'field': [70, 0, 1], 'lmfdb_label': '141120.mc7', 'torsion': [4]}
  • id: 6376394
    {'degree': 4, 'field': [22, -16, 17, -2, 1], 'lmfdb_label': '141120.mc7', 'torsion': [12]}
  • id: 6376393
    {'degree': 4, 'field': [64, 0, -26, 0, 1], 'lmfdb_label': '141120.mc7', 'torsion': [2, 6]}
  • id: 6376392
    {'degree': 4, 'field': [256, 0, 38, 0, 1], 'lmfdb_label': '141120.mc7', 'torsion': [2, 4]}
  • id: 6376395
    {'degree': 4, 'field': [784, 0, 14, 0, 1], 'lmfdb_label': '141120.mc7', 'torsion': [12]}
  • id: 6376396
    {'degree': 6, 'field': [896, 0, 1008, 0, -42, 0, 1], 'lmfdb_label': '141120.mc7', 'torsion': [6]}
  • id: 6376400
    {'degree': 8, 'field': [424, 328, -278, -104, 63, -16, 10, -4, 1], 'lmfdb_label': '141120.mc7', 'torsion': [2, 12]}
  • id: 6376398
    {'degree': 8, 'field': [1521, 0, -648, 0, 94, 0, -8, 0, 1], 'lmfdb_label': '141120.mc7', 'torsion': [8]}
  • id: 6376397
    {'degree': 8, 'field': [5770, 30760, 7765, 7390, 2101, -188, -101, -2, 1], 'lmfdb_label': '141120.mc7', 'torsion': [2, 4]}
  • id: 6376399
    {'degree': 8, 'field': [7056, 0, 4536, 0, 921, 0, 66, 0, 1], 'lmfdb_label': '141120.mc7', 'torsion': [8]}
  • id: 6376404
    {'degree': 12, 'field': [83441, -18474, 29409, -22410, 12570, -1674, 601, -6, -30, 10, 9, -6, 1], 'lmfdb_label': '141120.mc7', 'torsion': [12]}
  • id: 6376402
    {'degree': 12, 'field': [259470, 424080, 588765, 479910, 174865, 35580, 9491, 3354, 705, -60, 65, -6, 1], 'lmfdb_label': '141120.mc7', 'torsion': [2, 6]}
  • id: 6376403
    {'degree': 12, 'field': [262144, 0, 204800, 0, 59648, 0, 9920, 0, 932, 0, 50, 0, 1], 'lmfdb_label': '141120.mc7', 'torsion': [12]}
  • id: 6376401
    {'degree': 12, 'field': [451584, 0, 357504, 0, 273616, 0, 6104, 0, -336, 0, 14, 0, 1], 'lmfdb_label': '141120.mc7', 'torsion': [3, 6]}
  • id: 6376405
    {'degree': 16, 'field': [256, 0, 0, 0, 15365641, 0, 0, 0, 913491, 0, 0, 0, 331, 0, 0, 0, 1], 'lmfdb_label': '141120.mc7', 'torsion': [4, 4]}
  • id: 6376409
    {'degree': 16, 'field': [529, 92, -444, 1920, 537, -348, 1408, -940, 786, -216, 282, -72, 83, -32, 18, -4, 1], 'lmfdb_label': '141120.mc7', 'torsion': [24]}
  • id: 6376406
    {'degree': 16, 'field': [20736, 0, 254016, 0, 83556, 0, 24066, 0, 14689, 0, 1344, 0, -97, 0, 0, 0, 1], 'lmfdb_label': '141120.mc7', 'torsion': [2, 8]}
  • id: 6376410
    {'degree': 16, 'field': [2226456, 1359504, -644976, -1168416, -7086, 550596, 52938, -149628, -20399, 25660, 7078, -5828, 304, 280, -20, -8, 1], 'lmfdb_label': '141120.mc7', 'torsion': [24]}
  • id: 6376408
    {'degree': 16, 'field': [2876416, 0, -12370688, 0, -5861552, 0, -154736, 0, 141865, 0, -1976, 0, -422, 0, -8, 0, 1], 'lmfdb_label': '141120.mc7', 'torsion': [2, 12]}
  • id: 6376407
    {'degree': 16, 'field': [26470936, 12974256, 22886672, 8580704, 7722434, 1425276, 809738, 47556, 46153, -5316, 1018, -788, 360, -32, 16, -8, 1], 'lmfdb_label': '141120.mc7', 'torsion': [2, 8]}
  • id: 6376411
    {'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.mc7', '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: 3485539
    {'conductor': 141120, 'conductor_valuation': 6, 'discriminant_valuation': 30, 'j_denominator_valuation': 12, 'kodaira_symbol': -24, 'lmfdb_label': '141120.mc7', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3485540
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '141120.mc7', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3485541
    {'conductor': 141120, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '141120.mc7', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3485542
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '141120.mc7', '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: 2581091
    {'adelic_gens': [[15, 106, 374, 11], [1, 12, 12, 145], [352, 3, 717, 754], [344, 819, 645, 374], [217, 24, 702, 7], [817, 24, 816, 25], [824, 417, 319, 646], [1, 24, 0, 1], [591, 452, 340, 211], [1, 0, 24, 1]], 'adelic_image': '840.384.5.?', 'conductor': 141120, 'lmfdb_label': '141120.mc7', 'prime': 0}
  • id: 545211
    {'conductor': 141120, 'elladic_image': '4.6.0.1', 'lmfdb_label': '141120.mc7', 'modell_image': '2B', 'prime': 2}
  • id: 545212
    {'conductor': 141120, 'elladic_image': '3.4.0.1', 'lmfdb_label': '141120.mc7', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 141120.mc does not appear in ec_padic