Elliptic curve data - 58080.bw4

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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': '58080x', 'Clabel': '58080x2', 'Cnumber': 2, 'abc_quality': 1.2007386141796184, 'absD': 2938807111680, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, 1, 0, 1775, -76705], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 58080, 'degree': 92160, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0747502091683137528982285068', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 4], 'jinv': [85184, 405], 'lmfdb_iso': '58080.bw', 'lmfdb_label': '58080.bw4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 15, -63], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0.h.1', '24.12.0.y.1', '44.12.0-4.c.1.2', '120.24.0.?', '220.24.0.?', '264.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.81734460779081682854997540364', 'prec': 107}, 'szpiro_ratio': 3.284899408206166, '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, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, -2, 0, 1, 0, -6, 0, -4, 0], 'aplist': [0, 1, 1, 0, 0, -2, -6, -4, -8, 2, -4, 10, -2, -4, -8, -2, -8, 2, 12, -8, 14, -12, -4, -14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 58080, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '58080.bw', 'trace_hash': 967036093911638168}
• 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': '0.11654236566138007458680548041', 'prec': 103}, 'conductor': 58080, 'gens': [], 'heights': [], 'lmfdb_label': '58080.bw4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.40452716951867590693675088729', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6181086780747036277470035491549585679', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[29, 0, 1]], 'xcoord_integral_points': [29]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '58080.bw4'}
• ec_torsion_growth •

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

  
  
  • id: 2795767
    {'degree': 2, 'field': [-55, 0, 1], 'lmfdb_label': '58080.bw4', 'torsion': [4]}
  • id: 2795768
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '58080.bw4', 'torsion': [4]}
  • id: 2795766
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '58080.bw4', 'torsion': [2, 2]}
  • id: 2795769
    {'degree': 4, 'field': [9, -16, 17, -2, 1], 'lmfdb_label': '58080.bw4', 'torsion': [2, 4]}
  • id: 2795773
    {'degree': 8, 'field': [-21095, -74380, -67010, 364, -1576, -32, 22, -4, 1], 'lmfdb_label': '58080.bw4', 'torsion': [6]}
  • id: 2795772
    {'degree': 8, 'field': [147, -336, 370, -76, 59, -28, 14, -4, 1], 'lmfdb_label': '58080.bw4', 'torsion': [8]}
  • id: 2795770
    {'degree': 8, 'field': [166, 460, 194, -160, 51, -20, -6, 0, 1], 'lmfdb_label': '58080.bw4', 'torsion': [2, 4]}
  • id: 2795771
    {'degree': 8, 'field': [40456, 72960, 11264, -3360, 2076, -120, -76, 0, 1], 'lmfdb_label': '58080.bw4', 'torsion': [8]}
  • id: 2795775
    {'degree': 16, 'field': [2025, -2700, -20700, 13500, 80040, -69360, 162400, -37140, 74281, -7280, 14764, -620, 1426, -20, 64, 0, 1], 'lmfdb_label': '58080.bw4', 'torsion': [2, 8]}
  • id: 2795774
    {'degree': 16, 'field': [19881, 0, -680, 0, 43186, 0, 7940, 0, 131, 0, -940, 0, 206, 0, -20, 0, 1], 'lmfdb_label': '58080.bw4', 'torsion': [4, 4]}
  • id: 2795776
    {'degree': 16, 'field': [29241, -174420, 245628, 21780, 222072, 37080, -8552, 14460, -5807, 3280, 844, -140, 178, -20, 16, 0, 1], 'lmfdb_label': '58080.bw4', 'torsion': [2, 8]}
  • id: 2795779
    {'degree': 16, 'field': [43245, 78120, -64560, -76056, 173754, -201736, 136412, -68848, 30995, -12232, 5852, -2336, 814, -224, 52, -8, 1], 'lmfdb_label': '58080.bw4', 'torsion': [12]}
  • id: 2795778
    {'degree': 16, 'field': [471472650, 149777100, 120590100, -87991180, -74684200, 22377480, 16979794, 78772, -1390557, -257184, 32682, 12540, 392, 68, -24, -8, 1], 'lmfdb_label': '58080.bw4', 'torsion': [12]}
  • id: 2795777
    {'degree': 16, 'field': [96694082505, -38557859760, 14996550600, -7407140580, 2185579260, -554162040, 116397216, -10621044, 1960866, 494784, -54936, 12588, -2436, -216, 16, -4, 1], 'lmfdb_label': '58080.bw4', 'torsion': [2, 6]}
• 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: 1397745
    {'conductor': 58080, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '58080.bw4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1397746
    {'conductor': 58080, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '58080.bw4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1397747
    {'conductor': 58080, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '58080.bw4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1397748
    {'conductor': 58080, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '58080.bw4', 'prime': 11, '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: 2049592
    {'adelic_gens': [[628, 121, 671, 606], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [881, 968, 44, 1233], [1313, 8, 1312, 9], [683, 198, 770, 947], [408, 473, 1177, 804], [119, 0, 0, 1319], [7, 6, 1314, 1315]], 'adelic_image': '1320.48.0.?', 'conductor': 58080, 'lmfdb_label': '58080.bw4', 'prime': 0}
  • id: 246246
    {'conductor': 58080, 'elladic_image': '4.6.0.1', 'lmfdb_label': '58080.bw4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 58080.bw does not appear in ec_padic