Elliptic curve data - 342720.dq1

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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': '342720dq', 'Clabel': '342720dq3', 'Cnumber': 3, 'abc_quality': 1.0111434690046417, 'absD': 14309804598625461778513920, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [0, 0, 0, -486084108, 4120900181008], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 342720, 'degree': 110100480, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7407351643462807304561718720', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 94, 'isogeny_degrees': [1, 2, 4], 'jinv': [66464620505913166201729, 74880071980801920], 'lmfdb_iso': '342720.dq', 'lmfdb_label': '342720.dq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -843896, 298027200], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '40.12.0-4.c.1.2', '120.24.0.?', '136.12.0.?', '408.24.0.?', '680.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.8244204879597435838585216208', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1517082491723079206327010714', 'prec': 100}, 'szpiro_ratio': 5.619548012297172, '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, 0, 0, 0, -1, 0, -1, 0, 0, 0, 4, 0, 6, 0, 0, 0, -1, 0, -4, 0], 'aplist': [0, 0, -1, -1, 4, 6, -1, -4, -4, 2, 4, 6, 2, 0, 8, -10, 8, 6, 0, 0, 6, -12, 12, 6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 342720, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '342720.dq', 'trace_hash': 1715803139537785960}
• 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': '0.00056342838133033887705439310968', 'prec': 113}, 'conductor': 342720, 'gens': [[15645602, 48079464192, 23]], 'heights': [{'__RealLiteral__': 0, 'data': '7.8244204879597435838585216208', 'prec': 100}], 'lmfdb_label': '342720.dq1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.070088640170552802659206113482', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.7744478739793863351522733497600682515', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[13052, 0, 1]], 'xcoord_integral_points': [13052]}
• lmfdb_label 342720.dq1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14323379
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '342720.dq1', 'torsion': [2, 2]}
  • id: 14323381
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '342720.dq1', 'torsion': [4]}
  • id: 14323380
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '342720.dq1', 'torsion': [4]}
  • id: 14323382
    {'degree': 4, 'field': [25, 0, -20, 0, 1], 'lmfdb_label': '342720.dq1', 'torsion': [2, 4]}
  • id: 14323386
    {'degree': 8, 'field': [-190512, 0, 0, 0, -1512, 0, 8, 0, 1], 'lmfdb_label': '342720.dq1', 'torsion': [6]}
  • id: 14323385
    {'degree': 8, 'field': [16, 0, 152, 0, 624, 0, 38, 0, 1], 'lmfdb_label': '342720.dq1', 'torsion': [8]}
  • id: 14323384
    {'degree': 8, 'field': [900, 0, -1920, 0, 676, 0, -64, 0, 1], 'lmfdb_label': '342720.dq1', 'torsion': [8]}
  • id: 14323383
    {'degree': 8, 'field': [900, 0, 0, 0, 30, 0, 0, 0, 1], 'lmfdb_label': '342720.dq1', 'torsion': [2, 4]}
  • id: 14323391
    {'degree': 16, 'field': [1, 0, -8, 0, 6052, 0, 24296, 0, -3084730, 0, 24296, 0, 6052, 0, -8, 0, 1], 'lmfdb_label': '342720.dq1', 'torsion': [12]}
  • id: 14323388
    {'degree': 16, 'field': [491401, 0, -1944736, 0, 2330488, 0, -1238344, 0, 326038, 0, -43648, 0, 2872, 0, -88, 0, 1], 'lmfdb_label': '342720.dq1', 'torsion': [2, 8]}
  • id: 14323387
    {'degree': 16, 'field': [866761, 0, -370912, 0, 184408, 0, -48424, 0, 1750, 0, -64, 0, 88, 0, 8, 0, 1], 'lmfdb_label': '342720.dq1', 'torsion': [4, 4]}
  • id: 14323389
    {'degree': 16, 'field': [51208336, 0, 7444928, 0, 1611640, 0, 247568, 0, 43729, 0, 5672, 0, 535, 0, 32, 0, 1], 'lmfdb_label': '342720.dq1', 'torsion': [2, 8]}
  • id: 14323392
    {'degree': 16, 'field': [96530625, 0, -150070000, 0, -11445500, 0, -2784900, 0, 68450, 0, -800, 0, 1056, 0, -28, 0, 1], 'lmfdb_label': '342720.dq1', 'torsion': [12]}
  • id: 14323390
    {'degree': 16, 'field': [116640000, 0, -812835000, 0, -84685500, 0, -2057400, 0, -288900, 0, -19980, 0, 2656, 0, -68, 0, 1], 'lmfdb_label': '342720.dq1', 'torsion': [2, 6]}
• 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: 8480032
    {'conductor': 342720, 'conductor_valuation': 6, 'discriminant_valuation': 25, 'j_denominator_valuation': 7, 'kodaira_symbol': -19, 'lmfdb_label': '342720.dq1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8480033
    {'conductor': 342720, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '342720.dq1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8480034
    {'conductor': 342720, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '342720.dq1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8480035
    {'conductor': 342720, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '342720.dq1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8480036
    {'conductor': 342720, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '342720.dq1', 'prime': 17, 'reduction_type': -1, '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: 3804908
    {'adelic_gens': [[7, 6, 2034, 2035], [1272, 247, 1247, 1200], [241, 8, 964, 33], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1228, 1, 431, 6], [2033, 8, 2032, 9], [1784, 757, 1271, 1242], [676, 2039, 1337, 2034]], 'adelic_image': '2040.48.0.?', 'conductor': 342720, 'lmfdb_label': '342720.dq1', 'prime': 0}
  • id: 1187841
    {'conductor': 342720, 'elladic_image': '4.6.0.1', 'lmfdb_label': '342720.dq1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 342720.dq does not appear in ec_padic