Elliptic curve data - 273600.ff2

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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': '273600ff', 'Clabel': '273600ff2', 'Cnumber': 2, 'abc_quality': 1.0425519890633115, 'absD': 2646967320576000000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2280, 'ainvs': [0, 0, 0, -5975870700, -177807411506000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 273600, 'degree': 212336640, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1107991481425886372656419139', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 135, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [7903870428425797297009, 886464000000], 'lmfdb_iso': '273600.ff', 'lmfdb_label': '273600.ff2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -414991, 102863225], 'min_quad_twist_disc': -120, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.10', '60.24.0.t.1', '76.6.0.?', '120.48.0.?', '228.24.0.?', '456.48.0.?', '1140.48.1.?', '2280.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 4275], [3, 2, 30400], [5, 18, 10944], [19, 20, 14400]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7170532767515656401417914466', 'prec': 100}, 'szpiro_ratio': 6.3219042411647886, '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, 0, 0, -2, 0, 0, 0, 6, 0, -4, 0, 0, 0, -6, 0, -1, 0], 'aplist': [0, 0, 0, -2, 6, -4, -6, -1, 0, 0, 8, 8, 12, 2, 0, 6, -12, -2, -16, 0, 10, 8, 0, 12, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 273600, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '273600.ff', 'trace_hash': 1355598295555462924}
• 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': '0.00026878512314618969967346105539', 'prec': 113}, 'conductor': 273600, 'gens': [], 'heights': [], 'lmfdb_label': '273600.ff2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.017171145157773465599159958481', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1979065801950035966924746855595264222', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-44620, 0, 1]], 'xcoord_integral_points': [-44620]}
• lmfdb_label 273600.ff2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11671812
    {'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '273600.ff2', 'torsion': [2, 2]}
  • id: 11671813
    {'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '273600.ff2', 'torsion': [6]}
  • id: 11671814
    {'degree': 4, 'field': [76, 0, 8, 0, 1], 'lmfdb_label': '273600.ff2', 'torsion': [4]}
  • id: 11671815
    {'degree': 4, 'field': [2401, 0, 22, 0, 1], 'lmfdb_label': '273600.ff2', 'torsion': [2, 6]}
  • id: 11671816
    {'degree': 6, 'field': [324, -896, 340, 28, -41, -2, 1], 'lmfdb_label': '273600.ff2', 'torsion': [6]}
  • id: 11671819
    {'degree': 8, 'field': [36, 0, 42, 0, 13, 0, 2, 0, 1], 'lmfdb_label': '273600.ff2', 'torsion': [12]}
  • id: 11671818
    {'degree': 8, 'field': [454, -828, 946, -260, 191, -76, 30, -4, 1], 'lmfdb_label': '273600.ff2', 'torsion': [2, 4]}
  • id: 11671817
    {'degree': 8, 'field': [10201, 0, -33700, 0, 1518, 0, 20, 0, 1], 'lmfdb_label': '273600.ff2', 'torsion': [2, 4]}
  • id: 11671820
    {'degree': 12, 'field': [805284, 545184, -392124, -287172, 97615, 51306, -10843, -5022, 834, 270, -43, -6, 1], 'lmfdb_label': '273600.ff2', 'torsion': [3, 6]}
  • id: 11671821
    {'degree': 12, 'field': [962361, 0, -657000, 0, 144300, 0, -20038, 0, 1500, 0, -60, 0, 1], 'lmfdb_label': '273600.ff2', 'torsion': [2, 6]}
  • id: 11671822
    {'degree': 16, 'field': [525601, -3471666, 5229107, 6327926, 1333889, 2755464, 1323968, 222864, 250588, 7056, 15058, 1588, 135, 82, 1, -2, 1], 'lmfdb_label': '273600.ff2', 'torsion': [8]}
  • id: 11671824
    {'degree': 16, 'field': [1110916, 0, -817912, 0, 331664, 0, 58092, 0, -7411, 0, -1368, 0, 62, 0, 20, 0, 1], 'lmfdb_label': '273600.ff2', 'torsion': [2, 12]}
  • id: 11671823
    {'degree': 16, 'field': [2104164, 1828224, -124416, -784512, 887688, -68832, 202672, 35168, 1724, 7968, 1160, -272, 480, -176, 56, -8, 1], 'lmfdb_label': '273600.ff2', 'torsion': [2, 12]}
  • id: 11671825
    {'degree': 18, 'field': [5141676032896, -845518958592, 320576757696, 23422102144, -6745013232, 9027049488, -261520708, 293079744, 38863392, -6847796, 1454712, -358704, -15871, 114, -933, -56, 27, -6, 1], 'lmfdb_label': '273600.ff2', 'torsion': [18]}
• 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: 6776103
    {'conductor': 273600, 'conductor_valuation': 6, 'discriminant_valuation': 30, 'j_denominator_valuation': 12, 'kodaira_symbol': -24, 'lmfdb_label': '273600.ff2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6776104
    {'conductor': 273600, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '273600.ff2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6776105
    {'conductor': 273600, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '273600.ff2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6776106
    {'conductor': 273600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '273600.ff2', 'prime': 19, '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: 3392141
    {'adelic_gens': [[11, 2, 2230, 2271], [1823, 2268, 1818, 2207], [389, 2, 384, 1], [970, 3, 573, 1132], [2269, 12, 2268, 13], [1, 0, 12, 1], [1139, 0, 0, 2279], [1151, 2268, 1152, 2267], [2269, 2278, 1190, 1149], [1, 6, 6, 37], [1, 12, 0, 1], [1614, 1223, 1615, 1234]], 'adelic_image': '2280.96.1.?', 'conductor': 273600, 'lmfdb_label': '273600.ff2', 'prime': 0}
  • id: 975962
    {'conductor': 273600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '273600.ff2', 'modell_image': '2B', 'prime': 2}
  • id: 975963
    {'conductor': 273600, 'elladic_image': '3.4.0.1', 'lmfdb_label': '273600.ff2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 273600.ff does not appear in ec_padic