Elliptic curve data - 52272.cv1

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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': '52272cd', 'Clabel': '52272cd3', 'Cnumber': 3, 'abc_quality': 1.0496550478531228, 'absD': 658142326092201984, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 792, 'ainvs': [0, 0, 0, -238491, -59439798], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 52272, 'degree': 583200, 'elladic_images': ['9.36.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1261965331932742601219568439', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 73, 'isogeny_degrees': [1, 3, 9], 'jinv': [-1167051, 512], 'lmfdb_iso': '52272.cv', 'lmfdb_label': '52272.cv1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -123, -667], 'min_quad_twist_disc': 44, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.36.0.d.1', '24.8.0.d.1', '72.72.3.?', '132.8.0.?', '264.16.0.?', '396.72.0.?', '792.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '19.323223963402314661718127106', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77295954837829020510522186705', 'prec': 107}, 'szpiro_ratio': 4.54005093878196, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 3, 0, -1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, 0, 3, -1, 0, 4, 0, 2, 6, -6, -5, 2, 6, -10, -6, 9, -12, -8, -14, 0, 7, 8, -3, -18, -1], 'class_deg': 9, 'class_size': 3, 'conductor': 52272, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '52272.cv', 'trace_hash': 124758793756452334}
• 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': '0.014230139461710561462383951215', 'prec': 107}, 'conductor': 52272, 'gens': [[3727308709, 201410712743552, 1795]], 'heights': [{'__RealLiteral__': 0, 'data': '19.323223963402314661718127106', 'prec': 100}], 'lmfdb_label': '52272.cv1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10576638445267598923546489247', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.1749901383134827274067719133093250639', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '52272.cv1'}
• ec_torsion_growth •

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

  
  
  • id: 2530937
    {'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '52272.cv1', 'torsion': [9]}
  • id: 2530938
    {'degree': 3, 'field': [-2, 3, 0, 1], 'lmfdb_label': '52272.cv1', 'torsion': [2]}
  • id: 2530940
    {'degree': 6, 'field': [-1322, -198, 363, -6, -33, 0, 1], 'lmfdb_label': '52272.cv1', 'torsion': [3]}
  • id: 2530939
    {'degree': 6, 'field': [6, 0, -3, 0, 0, 0, 1], 'lmfdb_label': '52272.cv1', 'torsion': [2, 2]}
  • id: 2530941
    {'degree': 6, 'field': [1189, 360, -39, -64, -3, 0, 1], 'lmfdb_label': '52272.cv1', 'torsion': [18]}
  • id: 2530942
    {'degree': 12, 'field': [-1163168, -304725, 163863, 140189, 11217, -20826, -882, 666, -78, 59, -9, -3, 1], 'lmfdb_label': '52272.cv1', 'torsion': [4]}
  • id: 2530944
    {'degree': 12, 'field': [20164, 0, -17976, 0, 11004, 0, -3404, 0, 513, 0, -36, 0, 1], 'lmfdb_label': '52272.cv1', 'torsion': [2, 18]}
  • id: 2530943
    {'degree': 12, 'field': [1779556, 0, -955416, 0, 220605, 0, -26614, 0, 1815, 0, -66, 0, 1], 'lmfdb_label': '52272.cv1', 'torsion': [3, 9]}
  • id: 2530946
    {'degree': 18, 'field': [-15625000, 0, 0, 3187500, 0, 0, 140625, 0, 0, -64804, 0, 0, -2484, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '52272.cv1', 'torsion': [6]}
  • id: 2530945
    {'degree': 18, 'field': [5496644484, -1091475000, 3760861212, -890903736, 1113947100, -282771216, 191784204, -43995312, 21765564, -4093368, 1680804, -233424, 89133, -7542, 3303, -102, 81, 0, 1], 'lmfdb_label': '52272.cv1', 'torsion': [27]}
• 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: 1251986
    {'conductor': 52272, 'conductor_valuation': 4, 'discriminant_valuation': 21, 'j_denominator_valuation': 9, 'kodaira_symbol': -17, 'lmfdb_label': '52272.cv1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1251987
    {'conductor': 52272, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '52272.cv1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1251988
    {'conductor': 52272, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '52272.cv1', 'prime': 11, 'reduction_type': 0, '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: 2011351
    {'adelic_gens': [[1, 18, 0, 1], [1, 18, 10, 181], [538, 693, 495, 494], [10, 9, 81, 73], [593, 198, 0, 791], [1, 0, 18, 1], [298, 297, 99, 496], [775, 18, 774, 19], [647, 0, 0, 791]], 'adelic_image': '792.144.3.?', 'conductor': 52272, 'lmfdb_label': '52272.cv1', 'prime': 0}
  • id: 223556
    {'conductor': 52272, 'elladic_image': '9.36.0.4', 'lmfdb_label': '52272.cv1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 2632991
    {'lmfdb_iso': '52272.cv', 'p': 5, 'prec': 20, 'unit': 3631951843208, 'val': 1}
  • id: 2632992
    {'lmfdb_iso': '52272.cv', 'p': 7, 'prec': 20, 'unit': 8189593472983462, 'val': 1}
  • id: 2632997
    {'lmfdb_iso': '52272.cv', 'p': 13, 'prec': 20, 'unit': 87016844984061709096, 'val': 1}
  • id: 2633000
    {'lmfdb_iso': '52272.cv', 'p': 19, 'prec': 20, 'unit': 27999252515090706806241, 'val': 1}
  • id: 2633003
    {'lmfdb_iso': '52272.cv', 'p': 23, 'prec': 20, 'unit': 2844829223445499970552603, 'val': 1}
  • id: 2632996
    {'lmfdb_iso': '52272.cv', 'p': 29, 'prec': 20, 'unit': 4572276488150432470462934266, 'val': 1}
  • id: 2632993
    {'lmfdb_iso': '52272.cv', 'p': 31, 'prec': 20, 'unit': 18817300156567846517683651541, 'val': 1}
  • id: 2633007
    {'lmfdb_iso': '52272.cv', 'p': 37, 'prec': 20, 'unit': 506445456852905843325573242105, 'val': 1}
  • id: 2632994
    {'lmfdb_iso': '52272.cv', 'p': 41, 'prec': 20, 'unit': 3589186380738872803985963342357, 'val': 1}
  • id: 2632995
    {'lmfdb_iso': '52272.cv', 'p': 43, 'prec': 20, 'unit': 5807756058337520570337342239083, 'val': 1}
  • id: 2633005
    {'lmfdb_iso': '52272.cv', 'p': 47, 'prec': 20, 'unit': 50850627923473183809757906811162, 'val': 1}
  • id: 2633001
    {'lmfdb_iso': '52272.cv', 'p': 53, 'prec': 20, 'unit': 290093760316341974779268137530434, 'val': 1}
  • id: 2632999
    {'lmfdb_iso': '52272.cv', 'p': 59, 'prec': 20, 'unit': 1461503559330894821007171906628402, 'val': 1}
  • id: 2633006
    {'lmfdb_iso': '52272.cv', 'p': 61, 'prec': 20, 'unit': 2979595721438656246378712971778397, 'val': 1}
  • id: 2632990
    {'lmfdb_iso': '52272.cv', 'p': 67, 'prec': 20, 'unit': 13236593725283275231164711214015801, 'val': 1}
  • id: 2633002
    {'lmfdb_iso': '52272.cv', 'p': 73, 'prec': 20, 'unit': 81432529496890999101304989474100625, 'val': 1}
  • id: 2632998
    {'lmfdb_iso': '52272.cv', 'p': 79, 'prec': 20, 'unit': 811367901968647314841384387419354835, 'val': 1}
  • id: 2632989
    {'lmfdb_iso': '52272.cv', 'p': 83, 'prec': 20, 'unit': 257480563845342185939210284001838986, 'val': 1}
  • id: 2633004
    {'lmfdb_iso': '52272.cv', 'p': 89, 'prec': 20, 'unit': 8545751125425471800502499536444527033, 'val': 1}
  • id: 2632988
    {'lmfdb_iso': '52272.cv', 'p': 97, 'prec': 20, 'unit': 51856979593013619916729191559991437955, 'val': 1}