Elliptic curve data - 242592.f2

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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': '242592f', 'Clabel': '242592f4', 'Cnumber': 4, 'abc_quality': 0.9673193989883411, 'absD': 109260859502592, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, -1, 0, -17809, -758207], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 242592, 'degree': 884736, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4135862615965085099498647797', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [3241792, 567], 'lmfdb_iso': '242592.f', 'lmfdb_label': '242592.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -49, -95], 'min_quad_twist_disc': 76, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '28.12.0.h.1', '76.12.0.?', '168.24.0.?', '456.24.0.?', '532.24.0.?', '3192.48.0.?'], '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': '-0.75178040854665702947188105770', 'prec': 107}, 'szpiro_ratio': 3.3047492886089866, '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, -2, 0, -1, 0, 1, 0, -4, 0, 6, 0, 2, 0, -2, 0, 0, 0], 'aplist': [0, -1, -2, -1, -4, 6, -2, 0, -4, 2, -8, 10, 2, 8, 0, 10, 12, 10, 8, -12, 2, 0, 12, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 242592, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '242592.f', 'trace_hash': 1655196620809856198}
• 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': '0.059179947259816900727562919591', 'prec': 107}, 'conductor': 242592, 'gens': [], 'heights': [], 'lmfdb_label': '242592.f2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.41822023645175780428113912126', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6728809458070312171245564850574775530', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-101, 0, 1]], 'xcoord_integral_points': [-101]}
• lmfdb_label 242592.f2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10466691
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '242592.f2', 'torsion': [2, 2]}
  • id: 10466692
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '242592.f2', 'torsion': [4]}
  • id: 10466693
    {'degree': 2, 'field': [133, 0, 1], 'lmfdb_label': '242592.f2', 'torsion': [4]}
  • id: 10466694
    {'degree': 4, 'field': [137, 4, -3, -2, 1], 'lmfdb_label': '242592.f2', 'torsion': [2, 4]}
  • id: 10466698
    {'degree': 8, 'field': [-1916298, -614628, 395028, -25920, -1728, -372, 18, 0, 1], 'lmfdb_label': '242592.f2', 'torsion': [6]}
  • id: 10466695
    {'degree': 8, 'field': [-927, 1540, -388, -168, 173, -28, -26, 0, 1], 'lmfdb_label': '242592.f2', 'torsion': [2, 4]}
  • id: 10466696
    {'degree': 8, 'field': [1567, -200, 346, -308, 195, -52, 22, -4, 1], 'lmfdb_label': '242592.f2', 'torsion': [8]}
  • id: 10466697
    {'degree': 8, 'field': [3369496, 581952, 238592, 15456, 4044, -168, 44, 0, 1], 'lmfdb_label': '242592.f2', 'torsion': [8]}
  • id: 10466702
    {'degree': 16, 'field': [-987779742759, 3048825868416, -449853420816, -419418693684, 64463442732, 13998067272, -2840728104, -84147876, 38246850, -3703536, 406368, 44940, -11028, 360, -8, -4, 1], 'lmfdb_label': '242592.f2', 'torsion': [2, 6]}
  • id: 10466699
    {'degree': 16, 'field': [208849, 0, -143928, 0, 715914, 0, -229356, 0, 48667, 0, -5868, 0, 558, 0, -36, 0, 1], 'lmfdb_label': '242592.f2', 'torsion': [4, 4]}
  • id: 10466703
    {'degree': 16, 'field': [571517, -2424344, 3252976, -1794792, 1277146, -563608, 390316, -220928, 119571, -51128, 19052, -5584, 1598, -336, 68, -8, 1], 'lmfdb_label': '242592.f2', 'torsion': [12]}
  • id: 10466700
    {'degree': 16, 'field': [2368513, 3775548, 4672556, 4543084, 2035924, 425264, -37360, -73388, 1693, -2632, 5036, 28, 538, -28, 32, 0, 1], 'lmfdb_label': '242592.f2', 'torsion': [2, 8]}
  • id: 10466701
    {'degree': 16, 'field': [72208417, 19986708, 28428356, 6194020, 6182668, 934472, 805256, 117796, 82333, 3752, 3980, 700, 394, -28, -16, 0, 1], 'lmfdb_label': '242592.f2', 'torsion': [2, 8]}
  • id: 10466704
    {'degree': 16, 'field': [453633298862, 253358516924, 55237805148, 8094404868, 1804525368, 376287048, -74304734, -41551004, -2521221, 642088, 101890, -564, -1120, 284, -24, -8, 1], 'lmfdb_label': '242592.f2', '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: 6013013
    {'conductor': 242592, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '242592.f2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6013014
    {'conductor': 242592, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '242592.f2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6013015
    {'conductor': 242592, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '242592.f2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6013016
    {'conductor': 242592, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '242592.f2', 'prime': 19, '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: 3205944
    {'adelic_gens': [[3185, 8, 3184, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1331, 2166, 2546, 1787], [7, 6, 3186, 3187], [2129, 1520, 1292, 2889], [248, 171, 2717, 2186], [2183, 0, 0, 3191], [400, 323, 2755, 96]], 'adelic_image': '3192.48.0.?', 'conductor': 242592, 'lmfdb_label': '242592.f2', 'prime': 0}
  • id: 878522
    {'conductor': 242592, 'elladic_image': '4.6.0.1', 'lmfdb_label': '242592.f2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 242592.f does not appear in ec_padic