Elliptic curve data - 222530.q1

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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': '222530bi', 'Clabel': '222530bi4', 'Cnumber': 4, 'abc_quality': 1.0551955185358262, 'absD': 216456365484012500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7480, 'ainvs': [1, -1, 0, -944067395, -11164606764175], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 222530, 'degree': 47185920, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4566205185366543985935595428', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [3855131356812007128171561, 8967612500], 'lmfdb_iso': '222530.q', 'lmfdb_label': '222530.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -3266669, -2271693567], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '10.6.0.a.1', '20.12.0.g.1', '68.12.0-4.c.1.1', '88.12.0.?', '340.24.0.?', '440.24.0.?', '1496.24.0.?', '7480.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '24.826334485203069054745813295', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1445], [5, 6, 44506], [7, 8, 31790], [11, 12, 20230], [17, 146, 770]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0400138465085463584687922339', 'prec': 100}, 'szpiro_ratio': 5.978382214537563, '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, 1, -1, -3, 1, 1, 0, 2, -1, 0, 1, 0, 3, 4, -1], 'aplist': [-1, 0, -1, 1, 1, 2, 0, 4, -4, 2, -8, 10, 6, 12, 12, 6, -12, -6, 8, 8, -14, 0, 4, -6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 222530, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '222530.q', 'trace_hash': 2228741595867216067}
• 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': '0.00099452926120312343774108367486', 'prec': 113}, 'conductor': 222530, 'gens': [[2012194895929, 2088098407619769115, 6327]], 'heights': [{'__RealLiteral__': 0, 'data': '24.826334485203069054745813295', 'prec': 100}], 'lmfdb_label': '222530.q1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.027236343636376228892480092795', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4094286181648666427568236232939626706', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-70957, 70957, 2]], 'xcoord_integral_points': []}
• lmfdb_label 222530.q1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9683101
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '222530.q1', 'torsion': [2, 2]}
  • id: 9683103
    {'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '222530.q1', 'torsion': [4]}
  • id: 9683102
    {'degree': 2, 'field': [85, 0, 1], 'lmfdb_label': '222530.q1', 'torsion': [4]}
  • id: 9683104
    {'degree': 4, 'field': [341, -32, 33, -2, 1], 'lmfdb_label': '222530.q1', 'torsion': [2, 4]}
  • id: 9683108
    {'degree': 8, 'field': [-13940, -576164, -115160, 9868, 5242, 400, -5, -2, 1], 'lmfdb_label': '222530.q1', 'torsion': [6]}
  • id: 9683107
    {'degree': 8, 'field': [39733, -1810, 2558, -1458, 635, 110, -32, -4, 1], 'lmfdb_label': '222530.q1', 'torsion': [8]}
  • id: 9683105
    {'degree': 8, 'field': [912636, 51216, -53080, 3744, -1911, 44, -10, -4, 1], 'lmfdb_label': '222530.q1', 'torsion': [2, 4]}
  • id: 9683106
    {'degree': 8, 'field': [1612900, 0, -15900, 0, 5205, 0, 120, 0, 1], 'lmfdb_label': '222530.q1', 'torsion': [8]}
  • id: 9683112
    {'degree': 16, 'field': [-345677069441, -269815652348, 480573788750, -98482891356, -27882903442, 13663801784, -1500748202, -137488380, 48826987, -3160716, 7858, -62108, 14060, -708, -16, -4, 1], 'lmfdb_label': '222530.q1', 'torsion': [2, 6]}
  • id: 9683110
    {'degree': 16, 'field': [1785400516, 0, 489441088, 0, 18531956, 0, -1895052, 0, 839725, 0, -66468, 0, 3606, 0, -88, 0, 1], 'lmfdb_label': '222530.q1', 'torsion': [2, 8]}
  • id: 9683114
    {'degree': 16, 'field': [2265760000, 0, -119078183, 0, 16358650, 0, 2797639, 0, -69173, 0, 22315, 0, -425, 0, 34, 0, 1], 'lmfdb_label': '222530.q1', 'torsion': [12]}
  • id: 9683113
    {'degree': 16, 'field': [2672890000, 0, 35000475125, 0, 4577387650, 0, 352920875, 0, 16831075, 0, 561215, 0, 12175, 0, 170, 0, 1], 'lmfdb_label': '222530.q1', 'torsion': [12]}
  • id: 9683109
    {'degree': 16, 'field': [5225265796, 0, -1733705784, 0, 219886200, 0, -12405996, 0, 175549, 0, -4176, 0, 1530, 0, 36, 0, 1], 'lmfdb_label': '222530.q1', 'torsion': [4, 4]}
  • id: 9683111
    {'degree': 16, 'field': [97721331521, -14695715848, 16385005696, -3458769112, 1934167806, -257987624, 106955564, -19075536, 6193807, -1008696, 261764, -34384, 7126, -672, 116, -8, 1], 'lmfdb_label': '222530.q1', 'torsion': [2, 8]}
• 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: 5519806
    {'conductor': 222530, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '222530.q1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5519807
    {'conductor': 222530, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '222530.q1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5519808
    {'conductor': 222530, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '222530.q1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5519809
    {'conductor': 222530, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '222530.q1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5519810
    {'conductor': 222530, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '222530.q1', 'prime': 17, 'reduction_type': 0, '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: 3085059
    {'adelic_gens': [[2483, 1156, 3842, 5781], [439, 0, 0, 7479], [2296, 4403, 4845, 3962], [1, 0, 8, 1], [7, 6, 7474, 7475], [1, 8, 0, 1], [5339, 5338, 1938, 4795], [1, 4, 4, 17], [7473, 8, 7472, 9], [3401, 1768, 7004, 7073]], 'adelic_image': '7480.48.0.?', 'conductor': 222530, 'lmfdb_label': '222530.q1', 'prime': 0}
  • id: 815610
    {'conductor': 222530, 'elladic_image': '4.6.0.1', 'lmfdb_label': '222530.q1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 222530.q does not appear in ec_padic