Elliptic curve data - 60690.bp4

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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': '60690bl', 'Clabel': '60690bl3', 'Cnumber': 3, 'abc_quality': 1.0154047869543323, 'absD': 49675117002000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 14280, 'ainvs': [1, 1, 1, -774815, -262832203], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 60690, 'degree': 663552, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9224855045040874895334777882', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2131200347946769, 2058000], 'lmfdb_iso': '60690.bp', 'lmfdb_label': '60690.bp4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2681, -53655], 'min_quad_twist_disc': 17, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.48.0.bs.2', '51.8.0-3.a.1.1', '56.12.0.bb.1', '60.48.0.c.2', '84.48.0.?', '102.24.0.?', '120.96.1.?', '136.12.0.?', '168.96.1.?', '204.48.0.?', '210.24.0.?', '408.96.0.?', '420.96.1.?', '476.12.0.?', '840.192.5.?', '952.24.0.?', '1020.96.0.?', '1428.96.0.?', '2040.192.1.?', '2856.192.1.?', '3570.48.0.?', '7140.192.1.?', '14280.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.0713214746828675157828943285', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 30345], [3, 4, 578], [5, 6, 12138], [7, 8, 8670], [17, 146, 210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50587883247597944940871047926', 'prec': 103}, 'szpiro_ratio': 4.7482253003279, '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, -1, 1, 1, -1, -1, 1, 1, 1, 0, -1, 2, -1, -1, 1, 0, 1, -4, 1], 'aplist': [1, -1, 1, -1, 0, 2, 0, -4, 0, 6, 4, -2, -6, 8, -12, 6, -12, -2, 8, 0, -14, 16, 12, 6, -14], 'class_deg': 12, 'class_size': 8, 'conductor': 60690, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '60690.bp', 'trace_hash': 818941692960541905}
• 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': '0.021387021583137400611577338925', 'prec': 107}, 'conductor': 60690, 'gens': [[-130135, 998381, 16]], 'heights': [{'__RealLiteral__': 0, 'data': '9.0713214746828675157828943285', 'prec': 100}], 'lmfdb_label': '60690.bp4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16091631253139627927739729072', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.7583416089570093400000819079103136976', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-509, 254, 1]], 'xcoord_integral_points': [-509]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [10, 0], '3': [1, 1], '5': [2, 0], '7': [1, 0], '11': [1, 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, 0], '43': [1, 0], '47': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '60690.bp4'}
• ec_torsion_growth •

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

  
  
  • id: 2910660
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '60690.bp4', 'torsion': [2, 2]}
  • id: 2910663
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '60690.bp4', 'torsion': [6]}
  • id: 2910661
    {'degree': 2, 'field': [30, -1, 1], 'lmfdb_label': '60690.bp4', 'torsion': [4]}
  • id: 2910662
    {'degree': 2, 'field': [64, -1, 1], 'lmfdb_label': '60690.bp4', 'torsion': [4]}
  • id: 2910666
    {'degree': 4, 'field': [60, -54, 19, -1, 1], 'lmfdb_label': '60690.bp4', 'torsion': [12]}
  • id: 2910667
    {'degree': 4, 'field': [196, 0, 23, 0, 1], 'lmfdb_label': '60690.bp4', 'torsion': [12]}
  • id: 2910664
    {'degree': 4, 'field': [480, -240, 34, -1, 1], 'lmfdb_label': '60690.bp4', 'torsion': [2, 4]}
  • id: 2910665
    {'degree': 4, 'field': [1521, 0, -27, 0, 1], 'lmfdb_label': '60690.bp4', 'torsion': [2, 6]}
  • id: 2910668
    {'degree': 6, 'field': [50, -210, 54, 11, -9, -3, 1], 'lmfdb_label': '60690.bp4', 'torsion': [6]}
  • id: 2910672
    {'degree': 8, 'field': [2524, 314, 2275, 1526, 324, 40, 34, -2, 1], 'lmfdb_label': '60690.bp4', 'torsion': [2, 12]}
  • id: 2910671
    {'degree': 8, 'field': [21280, -3920, 4310, -800, 451, -64, 26, -4, 1], 'lmfdb_label': '60690.bp4', 'torsion': [8]}
  • id: 2910670
    {'degree': 8, 'field': [49032, -1656, 2130, -936, 439, 32, -6, -4, 1], 'lmfdb_label': '60690.bp4', 'torsion': [8]}
  • id: 2910669
    {'degree': 8, 'field': [1705636, 0, 1789, 0, -2769, 0, -41, 0, 1], 'lmfdb_label': '60690.bp4', 'torsion': [2, 4]}
  • id: 2910673
    {'degree': 12, 'field': [2500, -10500, 41400, -12440, 5676, -3336, 77, 15, 60, 5, 18, -3, 1], 'lmfdb_label': '60690.bp4', 'torsion': [3, 6]}
  • id: 2910675
    {'degree': 12, 'field': [62892, -67392, 22140, -25284, 8208, 9468, -989, 0, 183, -24, -15, 0, 1], 'lmfdb_label': '60690.bp4', 'torsion': [12]}
  • id: 2910676
    {'degree': 12, 'field': [270316, -293904, 56940, -10068, 12804, 18396, -169, 0, 195, -24, -3, 0, 1], 'lmfdb_label': '60690.bp4', 'torsion': [12]}
  • id: 2910674
    {'degree': 12, 'field': [108398476, 47889216, -41944260, -1528548, 6125424, 5436, -403909, 0, 12615, -24, -183, 0, 1], 'lmfdb_label': '60690.bp4', 'torsion': [2, 6]}
  • id: 2910678
    {'degree': 16, 'field': [16777216, 0, -11829248, 0, 98213888, 0, -22339200, 0, 1882256, 0, -45600, 0, 248, 0, -32, 0, 1], 'lmfdb_label': '60690.bp4', 'torsion': [2, 8]}
  • id: 2910681
    {'degree': 16, 'field': [27357705, 42711480, 121396692, 63888, -37194806, 334664, 5249864, -619448, -314005, 103160, 3656, -9560, 1346, 224, -28, -8, 1], 'lmfdb_label': '60690.bp4', 'torsion': [24]}
  • id: 2910682
    {'degree': 16, 'field': [655923321, 0, 247329288, 0, 43531158, 0, 4905996, 0, 379255, 0, 21316, 0, 918, 0, 28, 0, 1], 'lmfdb_label': '60690.bp4', 'torsion': [24]}
  • id: 2910677
    {'degree': 16, 'field': [1268499456, 0, -1066726080, 0, 3419119536, 0, -655837140, 0, 39968881, 0, -605300, 0, 13446, 0, -80, 0, 1], 'lmfdb_label': '60690.bp4', 'torsion': [4, 4]}
  • id: 2910679
    {'degree': 16, 'field': [5549654016, 0, 1499726880, 0, 171294756, 0, 12039420, 0, 544561, 0, 17320, 0, 1146, 0, -20, 0, 1], 'lmfdb_label': '60690.bp4', 'torsion': [2, 8]}
  • id: 2910680
    {'degree': 16, 'field': [24800371920, -13824871200, 5121721620, -2368299420, 643032861, -154957374, 34862130, -7249470, 1877206, -258100, 92374, -9250, 2626, -70, 70, -4, 1], 'lmfdb_label': '60690.bp4', 'torsion': [2, 12]}
  • id: 2910683
    {'degree': 18, 'field': [5019733629805, -4083809229150, 1699463995260, -327715577119, 7461834915, 10915852296, -636860608, -691621467, 221677146, -21466015, 35643, -86439, 150779, -25359, 1695, 62, 39, -9, 1], 'lmfdb_label': '60690.bp4', '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: 1461764
    {'conductor': 60690, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '60690.bp4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1461765
    {'conductor': 60690, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '60690.bp4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1461766
    {'conductor': 60690, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '60690.bp4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1461767
    {'conductor': 60690, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '60690.bp4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1461768
    {'conductor': 60690, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '60690.bp4', '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: 2066289
    {'adelic_gens': [[1, 24, 0, 1], [1, 0, 24, 1], [5879, 0, 0, 14279], [1, 12, 12, 145], [6937, 13464, 6834, 511], [15, 106, 12974, 5051], [6376, 1683, 3621, 8314], [1089, 12988, 13940, 4829], [14257, 24, 14256, 25], [11272, 11781, 11475, 3826], [13176, 4913, 7871, 8994]], 'adelic_image': '14280.384.5.?', 'conductor': 60690, 'lmfdb_label': '60690.bp4', 'prime': 0}
  • id: 256048
    {'conductor': 60690, 'elladic_image': '4.6.0.1', 'lmfdb_label': '60690.bp4', 'modell_image': '2B', 'prime': 2}
  • id: 256049
    {'conductor': 60690, 'elladic_image': '3.4.0.1', 'lmfdb_label': '60690.bp4', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 3083093
    {'lmfdb_iso': '60690.bp', 'p': 13, 'prec': 20, 'unit': 1375920798933084321412, 'val': 1}
  • id: 3083096
    {'lmfdb_iso': '60690.bp', 'p': 19, 'prec': 20, 'unit': 18610545656371414219122, 'val': 1}
  • id: 3083092
    {'lmfdb_iso': '60690.bp', 'p': 29, 'prec': 20, 'unit': 6087247310574304803518080337, 'val': 1}
  • id: 3083102
    {'lmfdb_iso': '60690.bp', 'p': 31, 'prec': 20, 'unit': 8955329751713424832084985836, 'val': 1}
  • id: 3083089
    {'lmfdb_iso': '60690.bp', 'p': 37, 'prec': 20, 'unit': 111612578992648825310645723357, 'val': 1}
  • id: 3083090
    {'lmfdb_iso': '60690.bp', 'p': 41, 'prec': 20, 'unit': 271787493494170871759351938996, 'val': 1}
  • id: 3083091
    {'lmfdb_iso': '60690.bp', 'p': 43, 'prec': 20, 'unit': 5478756126051351871286063169834, 'val': 1}
  • id: 3083100
    {'lmfdb_iso': '60690.bp', 'p': 47, 'prec': 20, 'unit': 144150882818676923374826155131, 'val': 2}
  • id: 3083097
    {'lmfdb_iso': '60690.bp', 'p': 53, 'prec': 20, 'unit': 521846899953145288554155998771867, 'val': 1}
  • id: 3083095
    {'lmfdb_iso': '60690.bp', 'p': 59, 'prec': 20, 'unit': 4304476557026249772609206394651709, 'val': 1}
  • id: 3083101
    {'lmfdb_iso': '60690.bp', 'p': 61, 'prec': 20, 'unit': 3091876458908920044335569623743727, 'val': 1}
  • id: 3083088
    {'lmfdb_iso': '60690.bp', 'p': 67, 'prec': 20, 'unit': 27129874882631363918668641836417315, 'val': 1}
  • id: 3083098
    {'lmfdb_iso': '60690.bp', 'p': 73, 'prec': 20, 'unit': 208212046776030186432503756205198543, 'val': 1}
  • id: 3083094
    {'lmfdb_iso': '60690.bp', 'p': 79, 'prec': 20, 'unit': 472904643317080812473286279424176923, 'val': 1}
  • id: 3083087
    {'lmfdb_iso': '60690.bp', 'p': 83, 'prec': 20, 'unit': 1625485347455808163337222821848969095, 'val': 1}
  • id: 3083099
    {'lmfdb_iso': '60690.bp', 'p': 89, 'prec': 20, 'unit': 8568194428400641579707445667221839958, 'val': 1}
  • id: 3083086
    {'lmfdb_iso': '60690.bp', 'p': 97, 'prec': 20, 'unit': 24313051965727010972453314874111842567, 'val': 1}