Elliptic curve data - 101430.p1

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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': '101430bj', 'Clabel': '101430bj3', 'Cnumber': 3, 'abc_quality': 0.9231847158914875, 'absD': 456538422465562500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 19320, 'ainvs': [1, -1, 0, -745740, -245545700], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 101430, 'degree': 1990656, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2071814413369547493765431348', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [534774372149809, 5323062500], 'lmfdb_iso': '101430.p', 'lmfdb_label': '101430.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1691, -26675], 'min_quad_twist_disc': 21, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '21.8.0-3.a.1.1', '40.6.0.d.1', '42.24.0-6.a.1.3', '120.24.0.?', '138.24.0.?', '322.6.0.?', '840.48.0.?', '966.48.0.?', '2760.48.0.?', '6440.12.0.?', '19320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 17, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.0868420487605223860585844957', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.68492022247524325112624414462', 'prec': 103}, 'szpiro_ratio': 4.526714541399937, '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, 0, -1, 0, 1, 0, 0, -2, 0, 0, 1, -6, 0, 4, -1], 'aplist': [-1, 0, -1, 0, 0, -2, -6, 4, 1, -6, -2, -10, -6, -10, 0, -6, -12, 10, 2, -12, 16, -10, -12, -6, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 101430, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '101430.p', 'trace_hash': 556447309333142134}
• 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': '0.012102262230285206788007092573', 'prec': 107}, 'conductor': 101430, 'gens': [[-474, -890, 1], [-523, 1364, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.94072082937236943743037907742', 'prec': 103}, {'__RealLiteral__': 0, 'data': '2.2954041563758759319530914413', 'prec': 100}], 'lmfdb_label': '101430.p1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.16256000043079881281670674114', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.1416890642924703092728139431137252580', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-460, 230, 1]], 'xcoord_integral_points': [-523, -474, -460, 998, 1290, 1941, 3068, 7415, 39302]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': 'a', '5': [2, 0], '7': 'a', '11': [2, 2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [3, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '101430.p1'}
• ec_torsion_growth •

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

  
  
  • id: 4705858
    {'degree': 2, 'field': [-40, -1, 1], 'lmfdb_label': '101430.p1', 'torsion': [2, 2]}
  • id: 4705859
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '101430.p1', 'torsion': [6]}
  • id: 4705861
    {'degree': 4, 'field': [16, 0, 15, 0, 1], 'lmfdb_label': '101430.p1', 'torsion': [2, 6]}
  • id: 4705860
    {'degree': 4, 'field': [91, -2, 3, -2, 1], 'lmfdb_label': '101430.p1', 'torsion': [4]}
  • id: 4705862
    {'degree': 6, 'field': [1, -5, 4, 1, 2, -3, 1], 'lmfdb_label': '101430.p1', 'torsion': [6]}
  • id: 4705863
    {'degree': 8, 'field': [-77300, 20480, 20267, -6814, -638, 424, -40, -2, 1], 'lmfdb_label': '101430.p1', 'torsion': [2, 4]}
  • id: 4705865
    {'degree': 8, 'field': [8281, 0, -1610, 0, 207, 0, 10, 0, 1], 'lmfdb_label': '101430.p1', 'torsion': [12]}
  • id: 4705864
    {'degree': 8, 'field': [193600, -52800, 9160, -5440, 611, 118, 3, -2, 1], 'lmfdb_label': '101430.p1', 'torsion': [2, 4]}
  • id: 4705867
    {'degree': 12, 'field': [-7055, -171167, -119265, 140, 77545, -5163, -29576, -2013, 2505, 154, -83, -3, 1], 'lmfdb_label': '101430.p1', 'torsion': [2, 6]}
  • id: 4705866
    {'degree': 12, 'field': [1, -5, 21, -22, 19, 21, -20, 21, 3, -8, 7, -3, 1], 'lmfdb_label': '101430.p1', 'torsion': [3, 6]}
  • id: 4705869
    {'degree': 16, 'field': [5953600, 0, 33578592, 0, 23936881, 0, 6488016, 0, 858948, 0, 12486, 0, -932, 0, 12, 0, 1], 'lmfdb_label': '101430.p1', 'torsion': [2, 12]}
  • id: 4705870
    {'degree': 16, 'field': [7311616, 0, 60050432, 0, 25990496, 0, 184992, 0, 581705, 0, 76878, 0, 3911, 0, 98, 0, 1], 'lmfdb_label': '101430.p1', 'torsion': [2, 12]}
  • id: 4705868
    {'degree': 16, 'field': [239635158571, -166899630200, 56247734704, -4699232440, -3782248488, 1810827800, -249319988, -17656400, 19158885, -4460600, 343448, -31800, 15362, -1720, -4, 0, 1], 'lmfdb_label': '101430.p1', 'torsion': [8]}
  • id: 4705871
    {'degree': 18, 'field': [192214832608, 126493106688, 67657103544, 66541692092, 34646950212, 2864185884, -3191130186, -797017368, 128071968, 76266879, 10476843, -75072, -143346, 3666, 4938, -8, 42, -9, 1], 'lmfdb_label': '101430.p1', '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: 2490704
    {'conductor': 101430, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '101430.p1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2490705
    {'conductor': 101430, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '101430.p1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2490706
    {'conductor': 101430, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '101430.p1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2490707
    {'conductor': 101430, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '101430.p1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2490708
    {'conductor': 101430, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '101430.p1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2330727
    {'adelic_gens': [[9661, 12, 6, 73], [11, 2, 19270, 19311], [6439, 19308, 16100, 19319], [9250, 3, 11733, 19312], [1, 0, 12, 1], [11030, 19317, 16587, 8], [1, 6, 6, 37], [15457, 12, 15462, 73], [19309, 12, 19308, 13], [1, 12, 0, 1], [18519, 15298, 4046, 821]], 'adelic_image': '19320.96.1.?', 'conductor': 101430, 'lmfdb_label': '101430.p1', 'prime': 0}
  • id: 407324
    {'conductor': 101430, 'elladic_image': '2.3.0.1', 'lmfdb_label': '101430.p1', 'modell_image': '2B', 'prime': 2}
  • id: 407325
    {'conductor': 101430, 'elladic_image': '3.4.0.1', 'lmfdb_label': '101430.p1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 5279551
    {'lmfdb_iso': '101430.p', 'p': 13, 'prec': 20, 'unit': 1363441113187518342987, 'val': 2}
  • id: 5279553
    {'lmfdb_iso': '101430.p', 'p': 17, 'prec': 20, 'unit': 228384870303791640856383, 'val': 2}
  • id: 5279543
    {'lmfdb_iso': '101430.p', 'p': 19, 'prec': 20, 'unit': 349453140006348497924193, 'val': 2}
  • id: 5279550
    {'lmfdb_iso': '101430.p', 'p': 29, 'prec': 20, 'unit': 1231702700690807013475391770, 'val': 2}
  • id: 5279560
    {'lmfdb_iso': '101430.p', 'p': 31, 'prec': 20, 'unit': 21179045731155254716090514078, 'val': 2}
  • id: 5279546
    {'lmfdb_iso': '101430.p', 'p': 37, 'prec': 20, 'unit': 571567330757301069191279849809, 'val': 2}
  • id: 5279548
    {'lmfdb_iso': '101430.p', 'p': 41, 'prec': 20, 'unit': 4301120447041255859270038405947, 'val': 2}
  • id: 5279549
    {'lmfdb_iso': '101430.p', 'p': 43, 'prec': 20, 'unit': 5200614412912284412633170641276, 'val': 2}
  • id: 5279555
    {'lmfdb_iso': '101430.p', 'p': 53, 'prec': 20, 'unit': 159331861864911108804061173817259, 'val': 2}
  • id: 5279558
    {'lmfdb_iso': '101430.p', 'p': 59, 'prec': 20, 'unit': 3668522078618624923417505476796817, 'val': 2}
  • id: 5279559
    {'lmfdb_iso': '101430.p', 'p': 61, 'prec': 20, 'unit': 1614043477703951141989736776409617, 'val': 2}
  • id: 5279545
    {'lmfdb_iso': '101430.p', 'p': 67, 'prec': 20, 'unit': 3137496599524382112224450338587588, 'val': 2}
  • id: 5279547
    {'lmfdb_iso': '101430.p', 'p': 71, 'prec': 20, 'unit': 409133327030471406456712216284731, 'val': 3}
  • id: 5279556
    {'lmfdb_iso': '101430.p', 'p': 73, 'prec': 20, 'unit': 235877902570628709051993842069634821, 'val': 2}
  • id: 5279552
    {'lmfdb_iso': '101430.p', 'p': 79, 'prec': 20, 'unit': 639012904931893596279175263121153749, 'val': 2}
  • id: 5279554
    {'lmfdb_iso': '101430.p', 'p': 83, 'prec': 20, 'unit': 2367966043792372530945703418651981745, 'val': 2}
  • id: 5279557
    {'lmfdb_iso': '101430.p', 'p': 89, 'prec': 20, 'unit': 2809921101711351502938787509880805896, 'val': 2}
  • id: 5279544
    {'lmfdb_iso': '101430.p', 'p': 97, 'prec': 20, 'unit': 17386944544355838216491853892605462324, 'val': 2}