Elliptic curve data - 308550.ec4

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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': '308550ec', 'Clabel': '308550ec1', 'Cnumber': 1, 'abc_quality': 0.9782861042168096, 'absD': 76963412634240000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 22440, 'ainvs': [1, 0, 1, -10731251, 2218704398], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 308550, 'degree': 26542080, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0815530769901004900146226254', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 106, 'isogeny_degrees': [1, 2, 4], 'jinv': [4937402992298041, 2780405760000], 'lmfdb_iso': '308550.ec', 'lmfdb_label': '308550.ec4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -3547, -14819], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '88.12.0.?', '408.12.0.?', '440.24.0.?', '1122.6.0.?', '2040.24.0.?', '2244.12.0.?', '4488.24.0.?', '11220.24.0.?', '22440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.4877456741313833005887566489', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0778864843738650306832711698', 'prec': 100}, 'szpiro_ratio': 4.761181400382313, '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, 0, -1, 1, 0, 0, 1, 2, 0, 0, 1, -1, -1, -4, 0], 'aplist': [-1, 1, 0, 0, 0, 2, -1, -4, -8, -6, 4, 6, -2, -8, 0, -2, 0, -2, 4, 8, 6, 8, 4, 2, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 308550, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '308550.ec', 'trace_hash': 1153557115867026854}
• 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': '0.0021057024669965828247315202231', 'prec': 110}, 'conductor': 308550, 'gens': [[1611422, 2044758276, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '8.4877456741313833005887566489', 'prec': 100}], 'lmfdb_label': '308550.ec4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.093799635373403361409214929451', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.3691795950056436891800174882661591123', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[3167, -1584, 1]], 'xcoord_integral_points': [3167, 1611422]}
• lmfdb_label 308550.ec4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13025351
    {'degree': 2, 'field': [-701, -1, 1], 'lmfdb_label': '308550.ec4', 'torsion': [4]}
  • id: 13025349
    {'degree': 2, 'field': [-140, -1, 1], 'lmfdb_label': '308550.ec4', 'torsion': [2, 2]}
  • id: 13025350
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '308550.ec4', 'torsion': [4]}
  • id: 13025352
    {'degree': 4, 'field': [19321, 0, -283, 0, 1], 'lmfdb_label': '308550.ec4', 'torsion': [2, 4]}
  • id: 13025356
    {'degree': 8, 'field': [-40151306, -9990425, 115312, 158309, 3965, -1219, -35, -2, 1], 'lmfdb_label': '308550.ec4', 'torsion': [6]}
  • id: 13025354
    {'degree': 8, 'field': [55125, 25200, -28645, -3270, 2804, 144, -93, -2, 1], 'lmfdb_label': '308550.ec4', 'torsion': [8]}
  • id: 13025353
    {'degree': 8, 'field': [287296, 0, 34160, 0, -972, 0, 20, 0, 1], 'lmfdb_label': '308550.ec4', 'torsion': [2, 4]}
  • id: 13025355
    {'degree': 8, 'field': [2083269, 624114, -9996, -7920, 2341, 448, 0, -2, 1], 'lmfdb_label': '308550.ec4', 'torsion': [8]}
  • id: 13025361
    {'degree': 16, 'field': [40602384, 0, -6687117, 0, -12837690, 0, 2395341, 0, 1238535, 0, -329031, 0, 223, 0, -10, 0, 1], 'lmfdb_label': '308550.ec4', 'torsion': [12]}
  • id: 13025357
    {'degree': 16, 'field': [384356025, 0, 68734260, 0, 17331666, 0, 833172, 0, 86899, 0, 1036, 0, 594, 0, -8, 0, 1], 'lmfdb_label': '308550.ec4', 'torsion': [4, 4]}
  • id: 13025358
    {'degree': 16, 'field': [1978470400, 0, -5144621440, 0, 1995136361, 0, -301283817, 0, 22067759, 0, -872526, 0, 19079, 0, -217, 0, 1], 'lmfdb_label': '308550.ec4', 'torsion': [2, 8]}
  • id: 13025359
    {'degree': 16, 'field': [3070432000, 461880000, -350508400, -212273800, 81793520, 24174030, 86291, -6496374, 1063912, 303894, 6913, -34562, 3819, 868, -104, -8, 1], 'lmfdb_label': '308550.ec4', 'torsion': [2, 8]}
  • id: 13025360
    {'degree': 16, 'field': [9841371509376, 28754729520264, -30652544163636, 12169571262768, -2367105420024, 297180092592, 1235793024, -4231896192, 658566531, -53353728, 2140866, -365364, 37044, -3612, -54, 0, 1], 'lmfdb_label': '308550.ec4', 'torsion': [2, 6]}
  • id: 13025362
    {'degree': 16, 'field': [3988102479530625, 0, 69602540625000, 0, -4347964392750, 0, 9393036300, 0, 457084575, 0, -638820, 0, -11486, 0, 136, 0, 1], 'lmfdb_label': '308550.ec4', 'torsion': [12]}
• 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: 7641397
    {'conductor': 308550, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '308550.ec4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7641398
    {'conductor': 308550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '308550.ec4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7641399
    {'conductor': 308550, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '308550.ec4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 7641400
    {'conductor': 308550, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '308550.ec4', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7641401
    {'conductor': 308550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '308550.ec4', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 3601896
    {'adelic_gens': [[22433, 8, 22432, 9], [8419, 8418, 2818, 14035], [1, 0, 8, 1], [1, 8, 0, 1], [13204, 1, 19823, 6], [1, 4, 4, 17], [13463, 22432, 8972, 22407], [7, 6, 22434, 22435], [10192, 22437, 20395, 22438], [7484, 1, 14983, 6], [2809, 2808, 14038, 2815]], 'adelic_image': '22440.48.0.?', 'conductor': 308550, 'lmfdb_label': '308550.ec4', 'prime': 0}
  • id: 1084228
    {'conductor': 308550, 'elladic_image': '4.6.0.1', 'lmfdb_label': '308550.ec4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 308550.ec does not appear in ec_padic