Elliptic curve data - 299538.t1

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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': '299538t', 'Clabel': '299538t3', 'Cnumber': 3, 'abc_quality': 1.1259568215438134, 'absD': 589859028828288, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 21672, 'ainvs': [1, -1, 1, -1991720, -1081410965], 'analytic_rank': 0, 'bad_primes': [2, 3, 43], 'class_deg': 21, 'class_size': 4, 'cm': 0, 'conductor': 299538, 'degree': 3413340, 'elladic_images': ['8.2.0.1', '3.4.0.1', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1499681367244213935672615074', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 7, 'iso_nlabel': 19, 'isogeny_degrees': [1, 3, 7, 21], 'jinv': [-189613868625, 128], 'lmfdb_iso': '299538.t', 'lmfdb_label': '299538.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1077, 13877], 'min_quad_twist_disc': -43, 'modell_images': ['3B', '7B'], 'modm_images': ['3.4.0.a.1', '7.8.0.a.1', '8.2.0.a.1', '21.64.1.a.4', '24.8.0.a.1', '56.16.0.a.1', '63.192.5.e.1', '129.8.0.?', '168.128.5.?', '504.384.21.?', '903.128.1.?', '1032.16.0.?', '2709.384.5.?', '7224.256.5.?', '21672.768.21.?'], 'nonmax_primes': [2, 3, 7], 'nonmax_rad': 42, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 149769], [3, 6, 86], [7, 2, 149769], [43, 926, 162]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27993806545641466386678236774', 'prec': 107}, 'szpiro_ratio': 4.371700727456532, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 1, 0, 1, 0, 0, -2, 1, 0, 0, 3, 0, 2, -2, 0, 1, 3, 0, 1, 0], 'aplist': [1, 0, 0, -2, 3, 2, 3, 1, 6, 6, -4, 4, -9, 0, 6, -12, -3, -8, 5, -12, -11, -4, -12, 6, 5], 'class_deg': 21, 'class_size': 4, 'conductor': 299538, 'isogeny_matrix': [[1, 3, 21, 7], [3, 1, 7, 21], [21, 7, 1, 3], [7, 21, 3, 1]], 'lmfdb_iso': '299538.t', 'trace_hash': 1542310079417801597}
• 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': '0.013569423717222994217879573293', 'prec': 107}, 'conductor': 299538, 'gens': [], 'heights': [], 'lmfdb_label': '299538.t1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.063542235141109611573103979446', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0031608138899055291055507050626440374', 'prec': 130}, 'tamagawa_product': 7, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 299538.t1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12680151
    {'degree': 2, 'field': [11, -1, 1], 'lmfdb_label': '299538.t1', 'torsion': [3]}
  • id: 12680152
    {'degree': 3, 'field': [-10, -3, 0, 1], 'lmfdb_label': '299538.t1', 'torsion': [2]}
  • id: 12680154
    {'degree': 6, 'field': [-3000, -900, 210, -9, 39, -3, 1], 'lmfdb_label': '299538.t1', 'torsion': [3]}
  • id: 12680153
    {'degree': 6, 'field': [8, 0, 9, 0, -6, 0, 1], 'lmfdb_label': '299538.t1', 'torsion': [2, 2]}
  • id: 12680156
    {'degree': 6, 'field': [2573, -1059, 366, -35, 30, -3, 1], 'lmfdb_label': '299538.t1', 'torsion': [6]}
  • id: 12680155
    {'degree': 6, 'field': [1876672, -84168, 50652, -910, 441, 0, 1], 'lmfdb_label': '299538.t1', 'torsion': [7]}
  • id: 12680157
    {'degree': 12, 'field': [-1888148492, 440812344, 100522236, -8856752, -2443401, -685890, 258396, 9882, -7704, 382, 12, -6, 1], 'lmfdb_label': '299538.t1', 'torsion': [4]}
  • id: 12680158
    {'degree': 12, 'field': [2979076, 0, 1189872, 0, 217500, 0, 23279, 0, 1515, 0, 57, 0, 1], 'lmfdb_label': '299538.t1', 'torsion': [3, 3]}
  • id: 12680159
    {'degree': 12, 'field': [4483025, -1599510, 1847649, -520466, 322170, -78486, 33261, -6414, 2022, -290, 69, -6, 1], 'lmfdb_label': '299538.t1', 'torsion': [2, 6]}
  • id: 12680160
    {'degree': 12, 'field': [22538944, -9362736, 6098892, -1412138, 582207, -106254, 35573, -4650, 1104, -112, 39, -6, 1], 'lmfdb_label': '299538.t1', 'torsion': [21]}
  • id: 12680162
    {'degree': 18, 'field': [-12000000000, -10800000000, -720000000, 1080000000, 453600000, 197280000, -56274000, 5769000, -2770380, -4064526, 633618, -193104, 39060, -5112, 3102, -333, 75, -9, 1], 'lmfdb_label': '299538.t1', 'torsion': [6]}
  • id: 12680161
    {'degree': 18, 'field': [8785842956, -6898167864, 7639382880, -4223419674, 2624481666, -1075935708, 467192079, -145808694, 48390804, -11852429, 3237228, -649818, 155619, -26136, 5454, -708, 117, -9, 1], 'lmfdb_label': '299538.t1', 'torsion': [9]}
  • id: 12680163
    {'degree': 18, 'field': [90114317792985088, -1476824063075328, 2813052020279808, 12482674616768, 59664341949504, 12924366512856, -21962879232, 1367173650978, 4183047978, 9566166963, 4046813565, -108556236, 26403020, 359094, 25674, 1714, 258, -9, 1], 'lmfdb_label': '299538.t1', 'torsion': [14]}
• 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: 7420193
    {'conductor': 299538, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '299538.t1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 7420194
    {'conductor': 299538, 'conductor_valuation': 4, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '299538.t1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7420195
    {'conductor': 299538, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '299538.t1', 'prime': 43, 'reduction_type': 0, '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: 3548380
    {'adelic_gens': [[17158, 8385, 2709, 7225], [3613, 12642, 2709, 12643], [14449, 7224, 14448, 7225], [1, 7224, 0, 1], [1, 0, 7224, 1], [9031, 1290, 18060, 1807], [1, 9288, 0, 1], [1, 0, 18060, 1], [9073, 12600, 9072, 9073], [18143, 0, 0, 21671], [5505, 946, 12040, 15825], [3097, 6450, 0, 1], [1, 7482, 12642, 10837], [1, 0, 12600, 1], [1807, 12642, 15351, 19867], [1, 0, 9030, 1], [4817, 2408, 19264, 2409]], 'adelic_image': '21672.768.21.?', 'conductor': 299538, 'lmfdb_label': '299538.t1', 'prime': 0}
  • id: 1056693
    {'conductor': 299538, 'elladic_image': '8.2.0.1', 'lmfdb_label': '299538.t1', 'modell_image': '2G', 'prime': 2}
  • id: 1056694
    {'conductor': 299538, 'elladic_image': '3.4.0.1', 'lmfdb_label': '299538.t1', 'modell_image': '3B', 'prime': 3}
  • id: 1056695
    {'conductor': 299538, 'elladic_image': '7.8.0.1', 'lmfdb_label': '299538.t1', 'modell_image': '7B', 'prime': 7}
• lmfdb_iso 299538.t does not appear in ec_padic