Elliptic curve data - 333795.t1

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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': '333795t', 'Clabel': '333795t3', 'Cnumber': 3, 'abc_quality': 1.0399902901180904, 'absD': 16609761618336003611484375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 14280, 'ainvs': [1, 0, 0, -5289061335261, 4681833639845234466], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 333795, 'degree': 5747245056, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.5110057900296567098515433224', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [677900562155526557965887564740855281, 688129016568984375], 'lmfdb_iso': '333795.t', 'lmfdb_label': '333795.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -18301250295, 952940487770382], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '56.12.0-4.c.1.5', '60.12.0.h.1', '68.12.0-4.c.1.2', '840.24.0.?', '952.24.0.?', '1020.24.0.?', '14280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '17.030933775651262908392973931', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.0943991180015486697267760135', 'prec': 100}, 'szpiro_ratio': 7.823665673802724, '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, 3, 1, 1, 1, -1, -6, 1, -1, -1, 0, -1, 0, 1], 'aplist': [-1, 1, -1, -1, 1, -6, 0, 0, -4, -10, -8, -10, -10, -12, 12, 6, 12, 2, 4, 8, 14, 4, 8, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 333795, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '333795.t', 'trace_hash': 1811195725765632187}
• 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': '0.000016338086509698589491936464704', 'prec': 117}, 'conductor': 333795, 'gens': [[814064191666, -337689522298304, 783]], 'heights': [{'__RealLiteral__': 0, 'data': '17.030933775651262908392973931', 'prec': 100}], 'lmfdb_label': '333795.t1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.020758992825605772902305685371', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8283602564968928367981645431289414273', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[5311151, -5311151, 2]], 'xcoord_integral_points': []}
• lmfdb_label 333795.t1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13990149
    {'degree': 2, 'field': [-255, 0, 1], 'lmfdb_label': '333795.t1', 'torsion': [4]}
  • id: 13990148
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '333795.t1', 'torsion': [2, 2]}
  • id: 13990150
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '333795.t1', 'torsion': [4]}
  • id: 13990151
    {'degree': 4, 'field': [106, 38, -37, -2, 1], 'lmfdb_label': '333795.t1', 'torsion': [2, 4]}
  • id: 13990154
    {'degree': 8, 'field': [16, 0, 12, 0, 40, 0, 3, 0, 1], 'lmfdb_label': '333795.t1', 'torsion': [8]}
  • id: 13990152
    {'degree': 8, 'field': [39466, 37260, 17138, 2880, -141, -180, 2, 0, 1], 'lmfdb_label': '333795.t1', 'torsion': [2, 4]}
  • id: 13990155
    {'degree': 8, 'field': [171123, -688380, 688272, 215, -104, -7, 7, -4, 1], 'lmfdb_label': '333795.t1', 'torsion': [6]}
  • id: 13990153
    {'degree': 8, 'field': [6812100, 0, -823500, 0, 26205, 0, -300, 0, 1], 'lmfdb_label': '333795.t1', 'torsion': [8]}
  • id: 13990158
    {'degree': 16, 'field': [739600, -825600, 890980, -816840, 225296, 46560, 58725, -26142, -15139, 9744, 78, -36, 50, 0, 25, -6, 1], 'lmfdb_label': '333795.t1', 'torsion': [2, 8]}
  • id: 13990161
    {'degree': 16, 'field': [837225, 0, 821088, 0, -111960, 0, -150239, 0, 38552, 0, -4025, 0, 505, 0, -34, 0, 1], 'lmfdb_label': '333795.t1', 'torsion': [12]}
  • id: 13990156
    {'degree': 16, 'field': [42487456, -36971968, 47799776, -22673952, 13856906, -2949884, 856114, 114564, -31103, -5076, 7294, -2884, 56, 168, -4, -8, 1], 'lmfdb_label': '333795.t1', 'torsion': [4, 4]}
  • id: 13990157
    {'degree': 16, 'field': [2148322500, 0, -13790857500, 0, 5878018125, 0, -961537500, 0, 74040975, 0, -2816100, 0, 51975, 0, -420, 0, 1], 'lmfdb_label': '333795.t1', 'torsion': [2, 8]}
  • id: 13990159
    {'degree': 16, 'field': [103864403085309, 13076918448120, -12668615595918, -812328428730, 395745379440, 11733219648, -2625192569, -1109355512, 286344900, -6066700, 1274357, -31176, 3467, 770, -90, -8, 1], 'lmfdb_label': '333795.t1', 'torsion': [2, 6]}
  • id: 13990160
    {'degree': 16, 'field': [2145716103515625, 0, 140290582500000, 0, -1275294375000, 0, -114087740625, 0, 1951695000, 0, -13584375, 0, 113625, 0, -510, 0, 1], 'lmfdb_label': '333795.t1', '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: 8262540
    {'conductor': 333795, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '333795.t1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8262541
    {'conductor': 333795, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '333795.t1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8262542
    {'conductor': 333795, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '333795.t1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8262543
    {'conductor': 333795, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '333795.t1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8262544
    {'conductor': 333795, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '333795.t1', '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: 3752418
    {'adelic_gens': [[5879, 14272, 9236, 14247], [1, 0, 8, 1], [14273, 8, 14272, 9], [1, 8, 0, 1], [11428, 1, 8591, 6], [1, 4, 4, 17], [8928, 1793, 8953, 9000], [6121, 8, 10204, 33], [9524, 1, 4783, 6], [12499, 12498, 8938, 1795], [7, 6, 14274, 14275]], 'adelic_image': '14280.48.0.?', 'conductor': 333795, 'lmfdb_label': '333795.t1', 'prime': 0}
  • id: 1161660
    {'conductor': 333795, 'elladic_image': '4.6.0.1', 'lmfdb_label': '333795.t1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 333795.t does not appear in ec_padic