Elliptic curve data - 130050.db3

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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': '130050hg', 'Clabel': '130050hg1', 'Cnumber': 1, 'abc_quality': 0.9730541653249261, 'absD': 3258571815000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2040, 'ainvs': [1, -1, 0, -55542, 5752116], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 130050, 'degree': 884736, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7029639075358305211382198197', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 79, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-1860867, 320], 'lmfdb_iso': '130050.db', 'lmfdb_label': '130050.db3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -69, -235], 'min_quad_twist_disc': -255, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cd.1', '30.24.0.b.1', '40.6.0.e.1', '102.24.0.?', '120.48.1.?', '255.8.0.?', '408.48.0.?', '510.48.0.?', '2040.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9744776376469295096140222199', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.79301479287635512913573846508', 'prec': 107}, 'szpiro_ratio': 3.7915848715478675, '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, 0, 0, 2, -1, 0, 0, 6, 0, 4, -2, 0, 1, 0, 0, -4, 0], 'aplist': [-1, 0, 0, 2, 6, 4, 0, -4, 0, -6, 4, 8, 0, -8, 0, -6, -6, -2, 4, -12, -10, 4, 12, -12, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 130050, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '130050.db', 'trace_hash': 430665646786537855}
• 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': '0.033176024582310255264492853262', 'prec': 107}, 'conductor': 130050, 'gens': [[183, 1209, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9744776376469295096140222199', 'prec': 100}], 'lmfdb_label': '130050.db3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.43072564777320586881713081692', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8036652759134637429494606001519982273', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-276, 138, 1]], 'xcoord_integral_points': [-276, 183]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [10, 0], '3': 'a', '5': 'a', '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '130050.db3'}
• ec_torsion_growth •

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

  
  
  • id: 5912828
    {'degree': 2, 'field': [-21, -1, 1], 'lmfdb_label': '130050.db3', 'torsion': [6]}
  • id: 5912827
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '130050.db3', 'torsion': [2, 2]}
  • id: 5912829
    {'degree': 4, 'field': [-263, -74, -27, -2, 1], 'lmfdb_label': '130050.db3', 'torsion': [4]}
  • id: 5912830
    {'degree': 4, 'field': [69, 33, -2, -1, 1], 'lmfdb_label': '130050.db3', 'torsion': [2, 6]}
  • id: 5912831
    {'degree': 6, 'field': [13720, 0, 0, -185, 0, 0, 1], 'lmfdb_label': '130050.db3', 'torsion': [6]}
  • id: 5912832
    {'degree': 8, 'field': [21316, -8176, -1906, 548, 313, -26, -19, -2, 1], 'lmfdb_label': '130050.db3', 'torsion': [2, 4]}
  • id: 5912834
    {'degree': 8, 'field': [24139, -24112, 23500, 1268, -743, 128, -38, -4, 1], 'lmfdb_label': '130050.db3', 'torsion': [12]}
  • id: 5912833
    {'degree': 8, 'field': [1730566, -153986, 159917, -11978, 6280, -352, 122, -4, 1], 'lmfdb_label': '130050.db3', 'torsion': [2, 4]}
  • id: 5912836
    {'degree': 12, 'field': [64, 360, 8652, -12970, 3585, 2670, -1795, 120, 390, -20, -33, 0, 1], 'lmfdb_label': '130050.db3', 'torsion': [2, 6]}
  • id: 5912835
    {'degree': 12, 'field': [341364, 325350, 78357, 4110, -4005, -2820, 835, 30, -165, -10, -3, 0, 1], 'lmfdb_label': '130050.db3', 'torsion': [3, 6]}
  • id: 5912838
    {'degree': 16, 'field': [17338896, 0, 9961488, 0, 5142972, 0, 1835028, 0, 363553, 0, 39904, 0, 2418, 0, 76, 0, 1], 'lmfdb_label': '130050.db3', 'torsion': [2, 12]}
  • id: 5912839
    {'degree': 16, 'field': [18931201, 0, -9174702, 0, 1305865, 0, 83298, 0, 66444, 0, -6258, 0, 505, 0, -18, 0, 1], 'lmfdb_label': '130050.db3', 'torsion': [2, 12]}
  • id: 5912837
    {'degree': 16, 'field': [4547479225, 0, 1179167060, 0, 28023974, 0, -12165256, 0, -1105241, 0, 21568, 0, 3146, 0, -116, 0, 1], 'lmfdb_label': '130050.db3', 'torsion': [8]}
  • id: 5912840
    {'degree': 18, 'field': [-1250198627049, -173369296377, 504117593595, 57360476142, -84968895384, -8523276894, 8340635946, 733439142, -534479457, -40400209, 23438091, 1467966, -709728, -34512, 14376, 480, -177, -3, 1], 'lmfdb_label': '130050.db3', '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: 3207632
    {'conductor': 130050, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '130050.db3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3207633
    {'conductor': 130050, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '130050.db3', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3207634
    {'conductor': 130050, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '130050.db3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3207635
    {'conductor': 130050, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '130050.db3', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2511187
    {'adelic_gens': [[1599, 1258, 2006, 341], [11, 2, 1990, 2031], [1, 0, 12, 1], [1, 6, 6, 37], [392, 731, 765, 1888], [1799, 0, 0, 2039], [1, 12, 0, 1], [1021, 612, 1326, 1633], [1070, 357, 459, 968], [2029, 12, 2028, 13]], 'adelic_image': '2040.96.1.?', 'conductor': 130050, 'lmfdb_label': '130050.db3', 'prime': 0}
  • id: 506597
    {'conductor': 130050, 'elladic_image': '2.3.0.1', 'lmfdb_label': '130050.db3', 'modell_image': '2B', 'prime': 2}
  • id: 506598
    {'conductor': 130050, 'elladic_image': '3.4.0.1', 'lmfdb_label': '130050.db3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 130050.db does not appear in ec_padic