Elliptic curve data - 303450.cx8

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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': '303450cx', 'Clabel': '303450cx8', 'Cnumber': 8, 'abc_quality': 1.0876511700840974, 'absD': 5116379390922546386718750, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 14280, 'ainvs': [1, 0, 1, 5266874, -108727781602], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 303450, 'degree': 63700992, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4203516412810829862510895762', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 75, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [42841933504271, 13565917968750], 'lmfdb_iso': '303450.cx', 'lmfdb_label': '303450.cx8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 729, -176985], 'min_quad_twist_disc': 85, '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.bu.2', '56.12.0.v.1', '84.48.0.?', '120.96.1.?', '168.96.1.?', '255.8.0.?', '408.96.0.?', '510.24.0.?', '680.12.0.?', '840.192.5.?', '1020.48.0.?', '2040.192.1.?', '2380.12.0.?', '2856.192.1.?', '4760.24.0.?', '7140.96.0.?', '14280.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.3915869917783068039144755232', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 50575], [3, 4, 14450], [5, 18, 12138], [7, 8, 43350], [17, 146, 1050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1990260130359247588259426007', 'prec': 100}, 'szpiro_ratio': 5.09764097550129, '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, 0, -1, 1, -1, 1, 0, 0, 1, -2, -1, 0, 1, 0, -1, -4, 0], 'aplist': [-1, 1, 0, 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': 303450, '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': '303450.cx', 'trace_hash': 1278454937424970148}
• 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': '0.0010693510791568700305788669462', 'prec': 110}, 'conductor': 303450, 'gens': [[43192, 4378718, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '8.3915869917783068039144755232', 'prec': 100}], 'lmfdb_label': '303450.cx8', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.035981981350880334217648703652', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.2467022394189689581344070294621263421', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[17623, -17627, 2]], 'xcoord_integral_points': []}
• lmfdb_label 303450.cx8 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12827740
    {'degree': 2, 'field': [-595, 0, 1], 'lmfdb_label': '303450.cx8', 'torsion': [4]}
  • id: 12827739
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '303450.cx8', 'torsion': [2, 2]}
  • id: 12827742
    {'degree': 2, 'field': [64, -1, 1], 'lmfdb_label': '303450.cx8', 'torsion': [6]}
  • id: 12827741
    {'degree': 2, 'field': [170, 0, 1], 'lmfdb_label': '303450.cx8', 'torsion': [4]}
  • id: 12827743
    {'degree': 4, 'field': [1521, 0, 92, 0, 1], 'lmfdb_label': '303450.cx8', 'torsion': [2, 4]}
  • id: 12827745
    {'degree': 4, 'field': [1870, -170, 171, -2, 1], 'lmfdb_label': '303450.cx8', 'torsion': [12]}
  • id: 12827746
    {'degree': 4, 'field': [1936, 0, 82, 0, 1], 'lmfdb_label': '303450.cx8', 'torsion': [12]}
  • id: 12827744
    {'degree': 4, 'field': [2514, -156, 157, -2, 1], 'lmfdb_label': '303450.cx8', 'torsion': [2, 6]}
  • id: 12827747
    {'degree': 6, 'field': [-8841, -2097, 1278, 113, -60, -3, 1], 'lmfdb_label': '303450.cx8', 'torsion': [6]}
  • id: 12827750
    {'degree': 8, 'field': [321795, -48420, 49566, -2280, 1111, 32, -6, -4, 1], 'lmfdb_label': '303450.cx8', 'torsion': [8]}
  • id: 12827749
    {'degree': 8, 'field': [470596, 0, -96040, 0, -1827, 0, 140, 0, 1], 'lmfdb_label': '303450.cx8', 'torsion': [8]}
  • id: 12827751
    {'degree': 8, 'field': [4447881, 0, 280320, 0, 10618, 0, 160, 0, 1], 'lmfdb_label': '303450.cx8', 'torsion': [2, 12]}
  • id: 12827748
    {'degree': 8, 'field': [4503580, 318640, -321976, -5152, 10344, -56, -156, 0, 1], 'lmfdb_label': '303450.cx8', 'torsion': [2, 4]}
  • id: 12827754
    {'degree': 12, 'field': [-8568399, 26087796, -4220613, -3198346, 1338198, 620352, -179641, -38442, 8418, 796, -153, -6, 1], 'lmfdb_label': '303450.cx8', 'torsion': [12]}
  • id: 12827752
    {'degree': 12, 'field': [78163281, 18539577, 15696207, -681900, 1339785, -80703, 65476, -1209, 2661, -46, 69, -3, 1], 'lmfdb_label': '303450.cx8', 'torsion': [3, 6]}
  • id: 12827755
    {'degree': 12, 'field': [146510475, 37446750, -24893055, -8199070, 2381856, 605718, -140491, -22782, 4908, 526, -99, -6, 1], 'lmfdb_label': '303450.cx8', 'torsion': [12]}
  • id: 12827753
    {'degree': 12, 'field': [1955392215, -40480650, -54368991, -12253966, 4147620, 652734, -80731, -17022, 4008, 166, -27, -6, 1], 'lmfdb_label': '303450.cx8', 'torsion': [2, 6]}
  • id: 12827761
    {'degree': 16, 'field': [49280400, 0, -47096640, 0, 3767616, 0, 4312608, 0, 630424, 0, 50704, 0, 3024, 0, 88, 0, 1], 'lmfdb_label': '303450.cx8', 'torsion': [24]}
  • id: 12827760
    {'degree': 16, 'field': [5715360000, 0, -1865430000, 0, 344099700, 0, -32793600, 0, 2050561, 0, -83584, 0, 2586, 0, -64, 0, 1], 'lmfdb_label': '303450.cx8', 'torsion': [24]}
  • id: 12827757
    {'degree': 16, 'field': [9572603625, 218719800, -376573080, 327391560, -192173384, 31996408, -6674560, -4165920, 2016121, -717880, 213316, -40120, 8446, -840, 140, -8, 1], 'lmfdb_label': '303450.cx8', 'torsion': [2, 8]}
  • id: 12827758
    {'degree': 16, 'field': [50371745400, 188724524400, 170181056160, -75141667440, 4770143946, 3108363876, -227038254, -22810812, 31206961, -4472564, -182222, -46108, 8408, -784, 160, -8, 1], 'lmfdb_label': '303450.cx8', 'torsion': [2, 8]}
  • id: 12827756
    {'degree': 16, 'field': [74832338025, -22059475200, 3251404800, -2950088400, 658406074, 73644088, 7833728, -2819488, -15521, 263144, 1568, 6944, 982, -56, 0, 0, 1], 'lmfdb_label': '303450.cx8', 'torsion': [4, 4]}
  • id: 12827759
    {'degree': 16, 'field': [14350610768400, 0, -2389372848960, 0, 177865470016, 0, -7823769568, 0, 221870904, 0, -4105904, 0, 48144, 0, -328, 0, 1], 'lmfdb_label': '303450.cx8', 'torsion': [2, 12]}
  • id: 12827762
    {'degree': 18, 'field': [3862406454564, -10122031307808, 10799152908516, -2044475781762, -391731843690, -638623691568, 210426969721, 39743785713, -1217309196, 363789885, -38105289, -12936822, 999394, 7242, -1140, 1578, -81, -3, 1], 'lmfdb_label': '303450.cx8', '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: 7514935
    {'conductor': 303450, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '303450.cx8', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7514936
    {'conductor': 303450, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '303450.cx8', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7514937
    {'conductor': 303450, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '303450.cx8', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 7514938
    {'conductor': 303450, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '303450.cx8', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 7514939
    {'conductor': 303450, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '303450.cx8', '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: 3571400
    {'adelic_gens': [[6376, 11781, 9435, 3826], [1, 12, 12, 145], [5879, 0, 0, 14279], [11901, 7004, 9248, 1293], [11423, 816, 1836, 9791], [10711, 13464, 3162, 4489], [13686, 10489, 10115, 7736], [14257, 24, 14256, 25], [1, 24, 0, 1], [1, 0, 24, 1], [15, 106, 12974, 5051]], 'adelic_image': '14280.384.5.?', 'conductor': 303450, 'lmfdb_label': '303450.cx8', 'prime': 0}
  • id: 1068277
    {'conductor': 303450, 'elladic_image': '4.6.0.1', 'lmfdb_label': '303450.cx8', 'modell_image': '2B', 'prime': 2}
  • id: 1068278
    {'conductor': 303450, 'elladic_image': '3.4.0.1', 'lmfdb_label': '303450.cx8', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 303450.cx does not appear in ec_padic