Elliptic curve data - 75810.cr1

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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': '75810cy', 'Clabel': '75810cy4', 'Cnumber': 4, 'abc_quality': 0.9849151554257001, 'absD': 266750145270, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 15960, 'ainvs': [1, 0, 0, -134841, -19069389], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 75810, 'degree': 460800, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4858026376647166735734997974', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 69, 'isogeny_degrees': [1, 2, 4], 'jinv': [5763259856089, 5670], 'lmfdb_iso': '75810.cr', 'lmfdb_label': '75810.cr1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -373, 2623], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '152.12.0.?', '280.12.0.?', '456.24.0.?', '840.24.0.?', '2660.12.0.?', '5320.24.0.?', '15960.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.013583148081496443568986081456', 'prec': 107}, 'szpiro_ratio': 4.187363742916462, '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, 1, 1, -1, -4, 1, 2, -1, -1, 1, -6, 1, 0, -1], 'aplist': [1, 1, -1, -1, -4, 2, -6, 0, -8, -10, 8, -2, 2, 8, 4, -10, -4, -6, 0, 12, -6, 8, -4, -14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 75810, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '75810.cr', 'trace_hash': 1216015648294080901}
• 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': '0.051221020460146661395513612272', 'prec': 107}, 'conductor': 75810, 'gens': [], 'heights': [], 'lmfdb_label': '75810.cr1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24914035123546112242708211969', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9931228098836889794166569575240719689', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-849, 849, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 2], '3': [1, 0], '5': [0, 0], '7': [0, 0], '19': 'a'}, 'iwp0': 3, 'lmfdb_label': '75810.cr1'}
• ec_torsion_growth •

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

  
  
  • id: 3585080
    {'degree': 2, 'field': [-70, 0, 1], 'lmfdb_label': '75810.cr1', 'torsion': [2, 2]}
  • id: 3585081
    {'degree': 2, 'field': [38, 0, 1], 'lmfdb_label': '75810.cr1', 'torsion': [4]}
  • id: 3585082
    {'degree': 2, 'field': [665, 0, 1], 'lmfdb_label': '75810.cr1', 'torsion': [4]}
  • id: 3585083
    {'degree': 4, 'field': [729, 0, -16, 0, 1], 'lmfdb_label': '75810.cr1', 'torsion': [2, 4]}
  • id: 3585084
    {'degree': 8, 'field': [-698144, -49280, 59168, 8960, 2484, -560, -108, 0, 1], 'lmfdb_label': '75810.cr1', 'torsion': [2, 4]}
  • id: 3585087
    {'degree': 8, 'field': [-37920, 21744, 5288, -720, -1500, -42, 18, 0, 1], 'lmfdb_label': '75810.cr1', 'torsion': [6]}
  • id: 3585085
    {'degree': 8, 'field': [489888, 10368, -31584, 2304, 1492, -48, -20, 0, 1], 'lmfdb_label': '75810.cr1', 'torsion': [8]}
  • id: 3585086
    {'degree': 8, 'field': [3218436, 0, 272472, 0, 10729, 0, 163, 0, 1], 'lmfdb_label': '75810.cr1', 'torsion': [8]}
  • id: 3585092
    {'degree': 16, 'field': [159769600, 0, -60864512, 0, 10270720, 0, 6536416, 0, 760672, 0, 47320, 0, 2500, 0, 76, 0, 1], 'lmfdb_label': '75810.cr1', 'torsion': [12]}
  • id: 3585090
    {'degree': 16, 'field': [1505129616, 0, 1286958144, 0, 219955072, 0, 7293600, 0, 8856, 0, 27760, 0, 1152, 0, 24, 0, 1], 'lmfdb_label': '75810.cr1', 'torsion': [2, 8]}
  • id: 3585088
    {'degree': 16, 'field': [1903925956, -268785440, 18972800, -52180800, 108894244, -8174880, 784000, -3129280, 1097141, 59080, 39200, -12880, 1674, -280, 0, 0, 1], 'lmfdb_label': '75810.cr1', 'torsion': [4, 4]}
  • id: 3585093
    {'degree': 16, 'field': [8385973821, 8729866800, 4443019866, 986646168, -140286192, -210457812, -9023838, 18596048, 9056514, 1854624, 237458, 16056, -72, -476, -6, 0, 1], 'lmfdb_label': '75810.cr1', 'torsion': [12]}
  • id: 3585091
    {'degree': 16, 'field': [54631860480, 43243061760, -31160018304, -22587931776, 5068436544, 3515216640, -1211081296, 38235552, 24707408, -2606592, -64900, 23928, 544, -84, -104, 0, 1], 'lmfdb_label': '75810.cr1', 'torsion': [2, 6]}
  • id: 3585089
    {'degree': 16, 'field': [220661304516, 0, -5384670696, 0, 1531326960, 0, -60119004, 0, 4598149, 0, -144064, 0, 4890, 0, -76, 0, 1], 'lmfdb_label': '75810.cr1', 'torsion': [2, 8]}
• 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: 1843021
    {'conductor': 75810, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '75810.cr1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1843022
    {'conductor': 75810, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '75810.cr1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1843023
    {'conductor': 75810, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '75810.cr1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1843024
    {'conductor': 75810, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '75810.cr1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1843025
    {'conductor': 75810, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '75810.cr1', 'prime': 19, 'reduction_type': 0, '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: 2164857
    {'adelic_gens': [[9976, 323, 9139, 3288], [5568, 4313, 3667, 14574], [1, 0, 8, 1], [15296, 3363, 10925, 11762], [5321, 14288, 4484, 9273], [248, 3363, 15485, 11762], [15953, 8, 15952, 9], [7, 6, 15954, 15955], [11759, 0, 0, 15959], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '15960.48.0.?', 'conductor': 75810, 'lmfdb_label': '75810.cr1', 'prime': 0}
  • id: 313090
    {'conductor': 75810, 'elladic_image': '4.6.0.1', 'lmfdb_label': '75810.cr1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 75810.cr does not appear in ec_padic