Elliptic curve data - 148800.fd3

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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': '148800fl', 'Clabel': '148800fl1', 'Cnumber': 1, 'abc_quality': 0.9288659679318033, 'absD': 761856000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [0, -1, 0, -389633, -93472863], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 148800, 'degree': 1327104, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8818761923670526634125700593', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 133, 'isogeny_degrees': [1, 2, 4], 'jinv': [1597099875769, 186000], 'lmfdb_iso': '148800.fd', 'lmfdb_label': '148800.fd3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -244, 1442], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '40.24.0-40.bb.1.6', '744.24.0.?', '930.6.0.?', '1860.12.0.?', '3720.48.0.?'], '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': '19.783574411274943399519942817', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.037436465310084511986342210501', 'prec': 107}, 'szpiro_ratio': 4.217546236197389, '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, 0, 0, 4, 0, 1, 0, -4, 0, 2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, -1, 0, 4, -4, 2, -2, 4, 4, 2, 1, -6, 10, 4, 8, -6, 8, -10, 12, 0, -14, 8, -4, -6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 148800, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '148800.fd', 'trace_hash': 2304990992611248562}
• 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': '0.023196534540207107374800938288', 'prec': 107}, 'conductor': 148800, 'gens': [[-1757536703, 1005565120057, 2212]], 'heights': [{'__RealLiteral__': 0, 'data': '19.783574411274943399519942817', 'prec': 100}], 'lmfdb_label': '148800.fd3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.19109026540892826722806743273', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.5608969699756214513089272734620924004', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-363, 0, 1]], 'xcoord_integral_points': [-363]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [3, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [2, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '148800.fd3'}
• ec_torsion_growth •

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

  
  
  • id: 6697246
    {'degree': 2, 'field': [-116, -1, 1], 'lmfdb_label': '148800.fd3', 'torsion': [2, 2]}
  • id: 6697248
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '148800.fd3', 'torsion': [4]}
  • id: 6697247
    {'degree': 2, 'field': [930, 0, 1], 'lmfdb_label': '148800.fd3', 'torsion': [4]}
  • id: 6697249
    {'degree': 4, 'field': [13926, 228, -227, -2, 1], 'lmfdb_label': '148800.fd3', 'torsion': [2, 4]}
  • id: 6697253
    {'degree': 8, 'field': [-187500, 0, 39250, 0, -1500, 0, 0, 0, 1], 'lmfdb_label': '148800.fd3', 'torsion': [6]}
  • id: 6697252
    {'degree': 8, 'field': [3216, 576, -400, -336, 129, 44, -10, -4, 1], 'lmfdb_label': '148800.fd3', 'torsion': [8]}
  • id: 6697250
    {'degree': 8, 'field': [13456, 0, -698, 0, -231, 0, -2, 0, 1], 'lmfdb_label': '148800.fd3', 'torsion': [2, 4]}
  • id: 6697251
    {'degree': 8, 'field': [448900, 0, -61940, 0, 3741, 0, -98, 0, 1], 'lmfdb_label': '148800.fd3', 'torsion': [8]}
  • id: 6697257
    {'degree': 16, 'field': [2304, 0, -1122144, 0, -1481600, 0, -561072, 0, 480, 0, 23378, 0, -48, 0, 0, 0, 1], 'lmfdb_label': '148800.fd3', 'torsion': [2, 6]}
  • id: 6697256
    {'degree': 16, 'field': [5410276, 0, 11833576, 0, 11063672, 0, -5815452, 0, 1091765, 0, -102648, 0, 5042, 0, -116, 0, 1], 'lmfdb_label': '148800.fd3', 'torsion': [2, 8]}
  • id: 6697259
    {'degree': 16, 'field': [48721836, 24092472, -22443484, -3835132, 3294626, -1751864, 760429, -171896, 66552, -12426, -531, 1276, 121, -182, 46, -8, 1], 'lmfdb_label': '148800.fd3', 'torsion': [12]}
  • id: 6697254
    {'degree': 16, 'field': [156900676, 40784656, 5300768, -18479272, 10355528, -1119592, 447336, -363876, 123973, -21828, 7464, -2884, 578, -76, 32, -8, 1], 'lmfdb_label': '148800.fd3', 'torsion': [4, 4]}
  • id: 6697255
    {'degree': 16, 'field': [239197156, 0, -156735756, 0, 37247077, 0, -5367270, 0, 598251, 0, -25680, 0, 4747, 0, -126, 0, 1], 'lmfdb_label': '148800.fd3', 'torsion': [2, 8]}
  • id: 6697258
    {'degree': 16, 'field': [259718022754, 11346071920, -7596220656, -7617241632, 4108599756, -377050644, 153865897, -23590760, 5167110, 523830, -141495, 19956, -3235, -70, 30, -8, 1], 'lmfdb_label': '148800.fd3', '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: 3679881
    {'conductor': 148800, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '148800.fd3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3679882
    {'conductor': 148800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '148800.fd3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3679883
    {'conductor': 148800, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '148800.fd3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3679884
    {'conductor': 148800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '148800.fd3', 'prime': 31, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 2629566
    {'adelic_gens': [[1, 0, 8, 1], [3247, 3252, 3250, 1393], [1, 8, 0, 1], [2317, 2322, 1390, 3253], [1, 4, 4, 17], [3484, 1, 503, 6], [2224, 3717, 3715, 3718], [1244, 1, 2503, 6], [7, 6, 3714, 3715], [3713, 8, 3712, 9]], 'adelic_image': '3720.48.0.?', 'conductor': 148800, 'lmfdb_label': '148800.fd3', 'prime': 0}
  • id: 571663
    {'conductor': 148800, 'elladic_image': '8.12.0.7', 'lmfdb_label': '148800.fd3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 148800.fd does not appear in ec_padic