Elliptic curve data - 219024.d1

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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': '219024m', 'Clabel': '219024m2', 'Cnumber': 2, 'abc_quality': 1.0060683766058514, 'absD': 42027650281783296, 'adelic_genus': 1, 'adelic_index': 128, 'adelic_level': 156, 'ainvs': [0, 0, 0, -150579, 24558066], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 219024, 'degree': 2021760, 'elladic_images': ['4.8.0.2', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9271215176821791804478077285', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [-35937, 4], 'lmfdb_iso': '219024.d', 'lmfdb_label': '219024.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -6, 8], 'min_quad_twist_disc': 156, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.8.0.b.1', '12.64.1.b.2', '52.16.0-4.b.1.1', '78.8.0.?', '156.128.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1471126302766441883914133507', 'prec': 103}, 'szpiro_ratio': 3.867324760673499, '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, 0, 0, 0, -3, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, -4, 0], 'aplist': [0, 0, -3, -4, 0, 0, 3, -4, 0, -9, -4, 1, 6, -8, 12, 6, 0, -1, -4, 12, -11, 16, 12, -3, -2], 'class_deg': 3, 'class_size': 2, 'conductor': 219024, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '219024.d', 'trace_hash': 1301716912795929717}
• 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': '0.021189637046751589967220011770', 'prec': 107}, 'conductor': 219024, 'gens': [], 'heights': [], 'lmfdb_label': '219024.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.35191706738562053126888959253', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.70383413477124106253777918506126876348', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 219024.d1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9541151
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '219024.d1', 'torsion': [3]}
  • id: 9541152
    {'degree': 3, 'field': [-4, -3, 0, 1], 'lmfdb_label': '219024.d1', 'torsion': [2]}
  • id: 9541157
    {'degree': 6, 'field': [-224, -360, 81, -40, 18, 0, 1], 'lmfdb_label': '219024.d1', 'torsion': [6]}
  • id: 9541153
    {'degree': 6, 'field': [2, 6, 9, -2, 0, 0, 1], 'lmfdb_label': '219024.d1', 'torsion': [2, 2]}
  • id: 9541154
    {'degree': 6, 'field': [53, -93, 30, 21, -12, -3, 1], 'lmfdb_label': '219024.d1', 'torsion': [4]}
  • id: 9541155
    {'degree': 6, 'field': [389, 246, 198, -16, 18, 0, 1], 'lmfdb_label': '219024.d1', 'torsion': [4]}
  • id: 9541156
    {'degree': 6, 'field': [686, 0, 0, -38, 0, 0, 1], 'lmfdb_label': '219024.d1', 'torsion': [3]}
  • id: 9541161
    {'degree': 12, 'field': [-588, 1764, 3186, -2766, -1497, 1488, 283, -438, 6, 62, -3, -6, 1], 'lmfdb_label': '219024.d1', 'torsion': [12]}
  • id: 9541158
    {'degree': 12, 'field': [5353, 6168, 2721, 2728, 750, 456, 641, 0, 186, -16, 21, 0, 1], 'lmfdb_label': '219024.d1', 'torsion': [4, 4]}
  • id: 9541162
    {'degree': 12, 'field': [32464, -56880, 7452, 20900, 4905, -4860, -2824, 540, 486, -20, -36, 0, 1], 'lmfdb_label': '219024.d1', 'torsion': [12]}
  • id: 9541160
    {'degree': 12, 'field': [68644, 47160, 16200, -9340, -2871, -1620, 200, -180, 162, -20, 0, 0, 1], 'lmfdb_label': '219024.d1', 'torsion': [2, 6]}
  • id: 9541159
    {'degree': 12, 'field': [469225, -427440, 185277, -50544, 17352, -7512, 2963, -498, 6, -18, 15, -6, 1], 'lmfdb_label': '219024.d1', 'torsion': [3, 3]}
  • id: 9541163
    {'degree': 18, 'field': [-128598318000, -16718724000, 26263355760, -3070387728, 1624179816, 724928832, -60383556, 96063624, -5119848, 5891808, -490590, 106218, -8145, 2790, -585, -234, -18, 0, 1], 'lmfdb_label': '219024.d1', 'torsion': [9]}
  • id: 9541164
    {'degree': 18, 'field': [17727217, -16858152, 4537296, -145260, 683832, -1490400, 803439, -1944, -62784, -34614, 32928, -5184, -2907, 432, 432, -54, -24, 0, 1], 'lmfdb_label': '219024.d1', '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: 5431071
    {'conductor': 219024, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '219024.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5431072
    {'conductor': 219024, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '219024.d1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5431073
    {'conductor': 219024, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '219024.d1', 'prime': 13, '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: 3063341
    {'adelic_gens': [[13, 144, 12, 13], [155, 39, 0, 77], [11, 0, 0, 155], [1, 0, 144, 1], [105, 52, 104, 53], [1, 117, 117, 118], [129, 104, 104, 129]], 'adelic_image': '156.128.1.?', 'conductor': 219024, 'lmfdb_label': '219024.d1', 'prime': 0}
  • id: 804431
    {'conductor': 219024, 'elladic_image': '4.8.0.2', 'lmfdb_label': '219024.d1', 'modell_image': '2G', 'prime': 2}
  • id: 804432
    {'conductor': 219024, 'elladic_image': '3.4.0.1', 'lmfdb_label': '219024.d1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 219024.d does not appear in ec_padic