Elliptic curve data - 141120.mr3

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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': '141120jk', 'Clabel': '141120jk1', 'Cnumber': 1, 'abc_quality': 1.1312171453358946, 'absD': 2859408167691600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, -49376712, -133521363416], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 141120, 'degree': 11796480, 'elladic_images': ['8.12.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1119241398932012618965213095', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 329, 'isogeny_degrees': [1, 2, 4], 'jinv': [151591373397612544, 32558203125], 'lmfdb_iso': '141120.mr', 'lmfdb_label': '141120.mr3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -27991, -1811530], 'min_quad_twist_disc': 168, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.6', '24.24.0-24.z.1.7', '42.6.0.a.1', '56.24.0-56.ba.1.8', '84.12.0.?', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 15680], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0120402705648686724651955514', 'prec': 100}, 'szpiro_ratio': 5.461463540717632, '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, 6, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, 1, 0, 0, 6, -2, 4, -4, 6, 0, -6, -2, 4, 8, -2, 12, 6, 4, 12, -10, -8, 12, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 141120, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '141120.mr', 'trace_hash': 1870733305157329949}
• 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': '0.0019816047558511005018511847183', 'prec': 110}, 'conductor': 141120, 'gens': [], 'heights': [], 'lmfdb_label': '141120.mr3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.056954049753052802404004342862', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6450591841953793538562779431936732921', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-4102, 0, 1]], 'xcoord_integral_points': [-4102]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '141120.mr3'}
• ec_torsion_growth •

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

  
  
  • id: 6376784
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '141120.mr3', 'torsion': [2, 2]}
  • id: 6376786
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '141120.mr3', 'torsion': [4]}
  • id: 6376785
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '141120.mr3', 'torsion': [4]}
  • id: 6376787
    {'degree': 4, 'field': [4, 0, 10, 0, 1], 'lmfdb_label': '141120.mr3', 'torsion': [2, 4]}
  • id: 6376791
    {'degree': 8, 'field': [-64827, 0, 0, 0, 882, 0, 14, 0, 1], 'lmfdb_label': '141120.mr3', 'torsion': [6]}
  • id: 6376790
    {'degree': 8, 'field': [9, 0, 108, 0, 94, 0, 20, 0, 1], 'lmfdb_label': '141120.mr3', 'torsion': [8]}
  • id: 6376788
    {'degree': 8, 'field': [25, 0, 46, 0, 54, 0, -26, 0, 1], 'lmfdb_label': '141120.mr3', 'torsion': [2, 4]}
  • id: 6376789
    {'degree': 8, 'field': [49, 0, 140, 0, 99, 0, -16, 0, 1], 'lmfdb_label': '141120.mr3', 'torsion': [8]}
  • id: 6376794
    {'degree': 16, 'field': [1, 0, 28, 0, 242, 0, 840, 0, 1259, 0, 840, 0, 242, 0, 28, 0, 1], 'lmfdb_label': '141120.mr3', 'torsion': [2, 8]}
  • id: 6376792
    {'degree': 16, 'field': [25, -1160, 26912, -53392, 54656, -39904, 29568, -21624, 12694, -6072, 2688, -976, 224, -64, 32, -8, 1], 'lmfdb_label': '141120.mr3', 'torsion': [4, 4]}
  • id: 6376793
    {'degree': 16, 'field': [625, 0, -1100, 0, 1261, 0, -788, 0, 352, 0, -128, 0, 37, 0, -8, 0, 1], 'lmfdb_label': '141120.mr3', 'torsion': [2, 8]}
  • id: 6376795
    {'degree': 16, 'field': [729, 0, 0, 0, -11178, 0, -5940, 0, -13905, 0, 180, 0, 418, 0, 10, 0, 1], 'lmfdb_label': '141120.mr3', 'torsion': [2, 6]}
  • id: 6376797
    {'degree': 16, 'field': [58100625, 44667000, 11341500, -8613312, 10281244, -461016, 359580, -78656, 104886, -10872, -1996, 0, 156, -40, -12, 0, 1], 'lmfdb_label': '141120.mr3', 'torsion': [12]}
  • id: 6376796
    {'degree': 16, 'field': [2423673540, -1411320240, 1618809880, -678509048, 415589644, -131249376, 55919796, -13734600, 4519852, -875912, 233056, -34956, 7536, -804, 136, -8, 1], 'lmfdb_label': '141120.mr3', 'torsion': [12]}
• 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: 3485635
    {'conductor': 141120, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '141120.mr3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3485636
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '141120.mr3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3485637
    {'conductor': 141120, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '141120.mr3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 3485638
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '141120.mr3', '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: 2581155
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [7, 6, 162, 163], [161, 8, 160, 9], [113, 108, 110, 23], [101, 102, 134, 53], [1, 4, 4, 17], [44, 167, 1, 162], [104, 165, 107, 166]], 'adelic_image': '168.48.0.?', 'conductor': 141120, 'lmfdb_label': '141120.mr3', 'prime': 0}
  • id: 545313
    {'conductor': 141120, 'elladic_image': '8.12.0.13', 'lmfdb_label': '141120.mr3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 141120.mr does not appear in ec_padic