Elliptic curve data - 141570.g3

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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': '141570du', 'Clabel': '141570du2', 'Cnumber': 2, 'abc_quality': 0.9702165942764087, 'absD': 24993896721475502749500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 8580, 'ainvs': [1, -1, 0, -30598200, -64693407564], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 141570, 'degree': 13271040, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1258217150592495136718370356', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2453170411237305241, 19353090685500], 'lmfdb_iso': '141570.g', 'lmfdb_label': '141570.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -28098, -1802744], 'min_quad_twist_disc': 33, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '33.8.0-3.a.1.1', '60.24.0-6.a.1.3', '66.24.0-6.a.1.1', '156.24.0.?', '220.6.0.?', '660.48.0.?', '780.48.0.?', '1716.48.0.?', '8580.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.2687339119108380563669058962', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5445], [3, 2, 242], [5, 6, 28314], [11, 72, 1170], [13, 14, 10890]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3775679343260093959432426282', 'prec': 100}, 'szpiro_ratio': 5.33895650317702, '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, -1, 0, 1, -1, 0, -2, -1, 0, 1, 0, 0, -1, 2, 0, 1, 6, 0, 4, -1], 'aplist': [-1, 0, -1, -2, 0, -1, 6, 4, 0, 0, 2, -4, 6, -8, 0, -12, 0, 10, 8, 0, 10, -8, 0, -6, -16], 'class_deg': 6, 'class_size': 4, 'conductor': 141570, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '141570.g', 'trace_hash': 419702994173875476}
• 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': '0.0019272841752759719133586723012', 'prec': 110}, 'conductor': 141570, 'gens': [[-3110, 21036, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.2687339119108380563669058962', 'prec': 100}], 'lmfdb_label': '141570.g3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.064221757724058545356514764722', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3863295212673682255125435583777137003', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-11901, 11901, 2]], 'xcoord_integral_points': [-3110]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '141570.g3'}
• ec_torsion_growth •

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

  
  
  • id: 6401268
    {'degree': 2, 'field': [-55, 0, 1], 'lmfdb_label': '141570.g3', 'torsion': [2, 2]}
  • id: 6401269
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '141570.g3', 'torsion': [6]}
  • id: 6401270
    {'degree': 4, 'field': [82, -28, 27, -1, 1], 'lmfdb_label': '141570.g3', 'torsion': [4]}
  • id: 6401271
    {'degree': 4, 'field': [100, 0, -35, 0, 1], 'lmfdb_label': '141570.g3', 'torsion': [2, 6]}
  • id: 6401272
    {'degree': 6, 'field': [15, -6, 23, -4, 9, -2, 1], 'lmfdb_label': '141570.g3', 'torsion': [6]}
  • id: 6401273
    {'degree': 8, 'field': [2025, 0, 11400, 0, -2810, 0, -40, 0, 1], 'lmfdb_label': '141570.g3', 'torsion': [2, 4]}
  • id: 6401275
    {'degree': 8, 'field': [5412, -1518, 1219, 21, -9, 32, 9, -3, 1], 'lmfdb_label': '141570.g3', 'torsion': [12]}
  • id: 6401274
    {'degree': 8, 'field': [176121, 19998, -18564, -2886, 1489, -58, 24, -4, 1], 'lmfdb_label': '141570.g3', 'torsion': [2, 4]}
  • id: 6401276
    {'degree': 12, 'field': [36, -36, -12, -12, 52, -18, 23, -39, 18, -9, 8, -3, 1], 'lmfdb_label': '141570.g3', 'torsion': [3, 6]}
  • id: 6401277
    {'degree': 12, 'field': [6480, -5760, 8016, -13056, 10832, -9632, 5744, -1896, 888, -144, 52, -4, 1], 'lmfdb_label': '141570.g3', 'torsion': [2, 6]}
  • id: 6401280
    {'degree': 16, 'field': [9801, -137214, 7881687, -12850794, 7811533, -5085756, 4389162, -1801464, 652458, -230016, 57202, -13644, 2973, -426, 87, -6, 1], 'lmfdb_label': '141570.g3', 'torsion': [2, 12]}
  • id: 6401279
    {'degree': 16, 'field': [9124900, -8519300, 9699150, -1459650, -1371495, 2123070, -96320, -423350, -9084, 60162, 3438, -7206, 200, 434, -42, -8, 1], 'lmfdb_label': '141570.g3', 'torsion': [2, 12]}
  • id: 6401278
    {'degree': 16, 'field': [67345281995616, 18913962714624, -2134758643920, -997360490736, 12636664620, 23198936520, 273792372, -369881544, 2540737, 6252788, 100438, -15568, 6823, 800, 94, -4, 1], 'lmfdb_label': '141570.g3', 'torsion': [8]}
  • id: 6401281
    {'degree': 18, 'field': [-55686601383408, -23456394127728, 16627662518904, 7356374742060, -1444750720164, -732466135476, 22818671145, 21387046437, 27070362, 130427682, 100765071, 2562453, 872350, 71529, -777, 1190, -12, -3, 1], 'lmfdb_label': '141570.g3', '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: 3499528
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '141570.g3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3499529
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '141570.g3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3499530
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '141570.g3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3499531
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '141570.g3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3499532
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '141570.g3', 'prime': 13, 'reduction_type': -1, '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: 2584466
    {'adelic_gens': [[11, 2, 8530, 8571], [10, 3, 5121, 8572], [7866, 5017, 7865, 5006], [1, 0, 12, 1], [8569, 12, 8568, 13], [2641, 12, 7266, 73], [1, 6, 6, 37], [7790, 8577, 4707, 8], [1, 12, 0, 1], [2851, 8578, 2856, 8579]], 'adelic_image': '8580.96.1.?', 'conductor': 141570, 'lmfdb_label': '141570.g3', 'prime': 0}
  • id: 547339
    {'conductor': 141570, 'elladic_image': '2.3.0.1', 'lmfdb_label': '141570.g3', 'modell_image': '2B', 'prime': 2}
  • id: 547340
    {'conductor': 141570, 'elladic_image': '3.4.0.1', 'lmfdb_label': '141570.g3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 141570.g does not appear in ec_padic