Elliptic curve data - 141120.w4

Formats: - HTML - YAML - JSON - 2025-04-05T14:08:25.714290

• 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': '141120lf', 'Clabel': '141120lf1', 'Cnumber': 1, 'abc_quality': 0.9934178682935596, 'absD': 10808562873874248000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -509943, 211341508], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 141120, 'degree': 2359296, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3516504798622723224811519375', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [-2671731885376, 1969120125], 'lmfdb_iso': '141120.w', 'lmfdb_label': '141120.w4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4625, -181023], 'min_quad_twist_disc': -168, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0.h.1', '24.12.0-4.c.1.3', '56.12.0.y.1', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.0087661710387541312708635501', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2205], [3, 8, 3136], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.48281567072058816952223688659', 'prec': 103}, 'szpiro_ratio': 4.373746910529341, '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, -4, 0, -2, 0, 0, 0, -2, 0, -8, 0], 'aplist': [0, 0, -1, 0, -4, -2, -2, -8, 0, -2, 0, 6, 2, 4, -8, -6, 0, -2, 4, 4, 2, -4, -12, 18, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 141120, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '141120.w', 'trace_hash': 255136780120043414}
• 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': '0.0090653034564143839446122100064', 'prec': 110}, 'conductor': 141120, 'gens': [[3089, 133407, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '5.0087661710387541312708635501', 'prec': 100}], 'lmfdb_label': '141120.w4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20949694264403659816315013376', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1972847970059867191263147803839054342', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-868, 0, 1]], 'xcoord_integral_points': [-868]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [3, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '141120.w4'}
• ec_torsion_growth •

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

  
  
  • id: 6377534
    {'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '141120.w4', 'torsion': [4]}
  • id: 6377533
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '141120.w4', 'torsion': [2, 2]}
  • id: 6377535
    {'degree': 2, 'field': [210, 0, 1], 'lmfdb_label': '141120.w4', 'torsion': [4]}
  • id: 6377536
    {'degree': 4, 'field': [2209, 0, -74, 0, 1], 'lmfdb_label': '141120.w4', 'torsion': [2, 4]}
  • id: 6377540
    {'degree': 8, 'field': [-6342, 4592, -15812, -156, -332, -64, 30, -4, 1], 'lmfdb_label': '141120.w4', 'torsion': [6]}
  • id: 6377538
    {'degree': 8, 'field': [25, 0, -120, 0, -34, 0, 24, 0, 1], 'lmfdb_label': '141120.w4', 'torsion': [8]}
  • id: 6377537
    {'degree': 8, 'field': [4761, 0, 2748, 0, 814, 0, 52, 0, 1], 'lmfdb_label': '141120.w4', 'torsion': [2, 4]}
  • id: 6377539
    {'degree': 8, 'field': [32400, 0, 3600, 0, 580, 0, -20, 0, 1], 'lmfdb_label': '141120.w4', 'torsion': [8]}
  • id: 6377542
    {'degree': 16, 'field': [634726, 945256, 1499660, 234648, -80246, -432400, 313056, -149924, 54735, -17492, 6624, -2020, 334, -36, 20, -8, 1], 'lmfdb_label': '141120.w4', 'torsion': [2, 8]}
  • id: 6377543
    {'degree': 16, 'field': [810000, 0, -7020000, 0, 61452000, 0, 5268000, 0, 617500, 0, 2000, 0, 1080, 0, 20, 0, 1], 'lmfdb_label': '141120.w4', 'torsion': [2, 8]}
  • id: 6377545
    {'degree': 16, 'field': [19101825, -1665360, -18654624, -13658004, -4849362, 577692, 998784, 362340, -1728, -27336, -14928, 3132, -1106, 116, 12, -4, 1], 'lmfdb_label': '141120.w4', 'torsion': [12]}
  • id: 6377541
    {'degree': 16, 'field': [59459521, 0, 73755848, 0, 30198410, 0, 6746268, 0, 906359, 0, 73692, 0, 3530, 0, 92, 0, 1], 'lmfdb_label': '141120.w4', 'torsion': [4, 4]}
  • id: 6377544
    {'degree': 16, 'field': [919068201, 1892793924, 2167051974, 1590402996, 883009470, 379549800, 133001946, 35089152, 7530131, 1015644, 95830, -10528, -2604, -644, -4, 0, 1], 'lmfdb_label': '141120.w4', 'torsion': [2, 6]}
  • id: 6377546
    {'degree': 16, 'field': [19844894889, 2603880000, 2350724436, 1007454204, -192324654, 4574052, 19625908, -18710020, 5667120, -872400, 60060, -3852, -510, 420, 0, -4, 1], 'lmfdb_label': '141120.w4', '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: 3485983
    {'conductor': 141120, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '141120.w4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3485984
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '141120.w4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3485985
    {'conductor': 141120, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '141120.w4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3485986
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '141120.w4', '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: 2581356
    {'adelic_gens': [[559, 0, 0, 839], [833, 8, 832, 9], [797, 522, 30, 173], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [104, 237, 525, 524], [508, 561, 471, 286], [7, 6, 834, 835], [599, 552, 156, 527]], 'adelic_image': '840.48.0.?', 'conductor': 141120, 'lmfdb_label': '141120.w4', 'prime': 0}
  • id: 545490
    {'conductor': 141120, 'elladic_image': '4.6.0.1', 'lmfdb_label': '141120.w4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 141120.w does not appear in ec_padic