Elliptic curve data - 335160.cz2

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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': '335160cz', 'Clabel': '335160cz4', 'Cnumber': 4, 'abc_quality': 0.9602455452034111, 'absD': 52797624087600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, 0, 0, -1005627, 168660646], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 335160, 'degree': 6291456, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4787124866417996249779049052', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 77, 'isogeny_degrees': [1, 2, 4], 'jinv': [1280615525284, 601171875], 'lmfdb_iso': '335160.cz', 'lmfdb_label': '335160.cz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2280, 18972], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '56.12.0-4.c.1.5', '76.12.0.?', '84.12.0.?', '168.24.0.?', '456.24.0.?', '1064.24.0.?', '1596.24.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4793821300305636138444938950', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.37882861731346703554657914713', 'prec': 103}, 'szpiro_ratio': 4.171942515816491, '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, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -6, 0, -1, 0], 'aplist': [0, 0, 1, 0, 0, 2, -6, -1, -4, 6, 0, -2, -2, -4, -4, 6, 12, 2, 4, 0, 6, 8, -8, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 335160, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '335160.cz', 'trace_hash': 1783499843421761237}
• 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': '0.0070310095796140475928424753263', 'prec': 110}, 'conductor': 335160, 'gens': [[147, 4900, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4793821300305636138444938950', 'prec': 100}], 'lmfdb_label': '335160.cz2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.17822858715421076590748060305', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.4373819806890966736310739329572358912', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-1078, 0, 1]], 'xcoord_integral_points': [-1078, 147, 947, 8922]}
• lmfdb_label 335160.cz2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14042936
    {'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '335160.cz2', 'torsion': [2, 2]}
  • id: 14042937
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '335160.cz2', 'torsion': [4]}
  • id: 14042938
    {'degree': 2, 'field': [100, -1, 1], 'lmfdb_label': '335160.cz2', 'torsion': [4]}
  • id: 14042939
    {'degree': 4, 'field': [100, 0, 1, 0, 1], 'lmfdb_label': '335160.cz2', 'torsion': [2, 4]}
  • id: 14042943
    {'degree': 8, 'field': [-254502, 134124, -81366, -42606, 480, 1212, 36, -4, 1], 'lmfdb_label': '335160.cz2', 'torsion': [6]}
  • id: 14042940
    {'degree': 8, 'field': [-1875, 570, 142, -38, 391, -38, -40, 0, 1], 'lmfdb_label': '335160.cz2', 'torsion': [2, 4]}
  • id: 14042941
    {'degree': 8, 'field': [729, 0, 1512, 0, 838, 0, -56, 0, 1], 'lmfdb_label': '335160.cz2', 'torsion': [8]}
  • id: 14042942
    {'degree': 8, 'field': [133624, 23224, -21338, -3704, 1683, 200, -62, -4, 1], 'lmfdb_label': '335160.cz2', 'torsion': [8]}
  • id: 14042944
    {'degree': 16, 'field': [562500, 0, -776400, 0, 937204, 0, -314740, 0, 63093, 0, -7820, 0, 702, 0, -40, 0, 1], 'lmfdb_label': '335160.cz2', 'torsion': [4, 4]}
  • id: 14042945
    {'degree': 16, 'field': [2560000, 0, -1356800, 0, 224704, 0, -159632, 0, 66745, 0, -8192, 0, 715, 0, -32, 0, 1], 'lmfdb_label': '335160.cz2', 'torsion': [2, 8]}
  • id: 14042946
    {'degree': 16, 'field': [409411648, 56991680, -5260944, -95040944, 28408614, 17674212, 2371006, -6095804, 340881, 712388, -68078, -38148, 4356, 896, -108, -8, 1], 'lmfdb_label': '335160.cz2', 'torsion': [2, 8]}
  • id: 14042948
    {'degree': 16, 'field': [27710263296, 0, 20685545472, 0, 2755434496, 0, 216897024, 0, 13044096, 0, 521536, 0, 12336, 0, 168, 0, 1], 'lmfdb_label': '335160.cz2', 'torsion': [12]}
  • id: 14042947
    {'degree': 16, 'field': [624896938836, 442698766944, -1347519214704, 546220118136, 4137183876, -54812634768, 8164770516, 1719345920, -424069180, 7714960, 1358816, -22436, 27656, -2024, -64, -8, 1], 'lmfdb_label': '335160.cz2', 'torsion': [2, 6]}
  • id: 14042949
    {'degree': 16, 'field': [40008762261504, 0, -1883479277568, 0, 167878850560, 0, -5408342016, 0, 81955605, 0, -931784, 0, 8898, 0, 0, 0, 1], 'lmfdb_label': '335160.cz2', '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: 8297058
    {'conductor': 335160, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '335160.cz2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8297059
    {'conductor': 335160, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '335160.cz2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8297060
    {'conductor': 335160, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '335160.cz2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 8297061
    {'conductor': 335160, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '335160.cz2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8297062
    {'conductor': 335160, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '335160.cz2', 'prime': 19, '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: 3760545
    {'adelic_gens': [[3185, 8, 3184, 9], [2227, 2226, 1666, 1891], [1, 0, 8, 1], [400, 1547, 1771, 1800], [1, 8, 0, 1], [1, 4, 4, 17], [2668, 2737, 3143, 918], [7, 6, 3186, 3187], [2279, 0, 0, 3191], [1063, 448, 2884, 1791]], 'adelic_image': '3192.48.0.?', 'conductor': 335160, 'lmfdb_label': '335160.cz2', 'prime': 0}
  • id: 1165817
    {'conductor': 335160, 'elladic_image': '4.6.0.1', 'lmfdb_label': '335160.cz2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 335160.cz does not appear in ec_padic