Elliptic curve data - 1425.i1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '1425b', 'Clabel': '1425b2', 'Cnumber': 2, 'abc_quality': 1.0683303788164564, 'absD': 348201421875, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 190, 'ainvs': [0, -1, 1, -109758, -13959457], 'analytic_rank': 1, 'bad_primes': [3, 5, 19], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 1425, 'degree': 8400, 'elladic_images': ['5.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4561262074454786748641230970', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 8, 'isogeny_degrees': [1, 5], 'jinv': [-9358714467168256, 22284891], 'lmfdb_iso': '1425.i', 'lmfdb_label': '1425.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -4390, -113432], 'min_quad_twist_disc': 5, 'modell_images': ['5B.1.3'], 'modm_images': ['5.24.0-5.a.2.1', '38.2.0.a.1', '190.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.672698688127889535931591939', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 475], [3, 4, 475], [5, 14, 3], [19, 20, 75]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.65140725122842848756374343039', 'prec': 103}, 'szpiro_ratio': 6.393855973666966, '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, 2, -1, 2, 0, -2, -3, 0, 1, 0, -3, -2, 6, -6, 0, -4, -3, 2, -1, 0], 'aplist': [2, -1, 0, -3, -3, 6, -3, -1, -4, -10, 2, -8, -8, 1, -3, 6, 0, 7, -8, 12, 11, 0, -4, 10, 2], 'class_deg': 5, 'class_size': 2, 'conductor': 1425, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '1425.i', 'trace_hash': 1856493867451229923}
• 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': '0.054353166008187216743920968748', 'prec': 107}, 'conductor': 1425, 'gens': [[10452669, 33587977123, 58]], 'heights': [{'__RealLiteral__': 0, 'data': '15.672698688127889535931591939', 'prec': 100}], 'lmfdb_label': '1425.i1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13114753163997295050433652274', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1108714941700298933696277392108244264', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 4, 0], '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [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': '1425.i1'}
• ec_torsion_growth •

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

  
  
  • id: 70988
    {'degree': 3, 'field': [-2, -2, 0, 1], 'lmfdb_label': '1425.i1', 'torsion': [2]}
  • id: 70989
    {'degree': 4, 'field': [1, -1, 1, -1, 1], 'lmfdb_label': '1425.i1', 'torsion': [5]}
  • id: 70990
    {'degree': 6, 'field': [1, -3, 4, -3, 4, -3, 1], 'lmfdb_label': '1425.i1', 'torsion': [2, 2]}
  • id: 70991
    {'degree': 8, 'field': [159, -423, 241, -162, 75, -21, 9, 0, 1], 'lmfdb_label': '1425.i1', 'torsion': [3]}
  • id: 70992
    {'degree': 10, 'field': [-4, 10, -35, 40, 0, -8, -15, 10, 5, -5, 1], 'lmfdb_label': '1425.i1', 'torsion': [5]}
  • id: 70993
    {'degree': 12, 'field': [-53201, 134820, -156232, 97650, -28263, -3016, 5424, -1816, 265, 4, -8, -2, 1], 'lmfdb_label': '1425.i1', 'torsion': [4]}
  • id: 70994
    {'degree': 12, 'field': [16, 16, 16, 8, 0, 16, 12, 12, 4, -2, 2, 0, 1], 'lmfdb_label': '1425.i1', 'torsion': [10]}
  • id: 70995
    {'degree': 20, 'field': [41, -25, -30, -20, -20, -1, 60, -155, 420, -560, 711, -780, 770, -645, 460, -281, 140, -60, 20, -5, 1], 'lmfdb_label': '1425.i1', 'torsion': [5, 5]}
• 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: 21716
    {'conductor': 1425, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1425.i1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 21717
    {'conductor': 1425, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '1425.i1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 21718
    {'conductor': 1425, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '1425.i1', '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: 1673476
    {'adelic_gens': [[1, 0, 10, 1], [21, 10, 105, 51], [1, 10, 0, 1], [6, 13, 135, 71], [181, 10, 180, 11], [183, 180, 40, 19]], 'adelic_image': '190.48.1.?', 'conductor': 1425, 'lmfdb_label': '1425.i1', 'prime': 0}
  • id: 6871
    {'conductor': 1425, 'elladic_image': '5.24.0.4', 'lmfdb_label': '1425.i1', 'modell_image': '5B.1.3', 'prime': 5}
• ec_padic •

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

  
  
  • id: 37052
    {'lmfdb_iso': '1425.i', 'p': 7, 'prec': 20, 'unit': 4163013581575174, 'val': 1}
  • id: 37050
    {'lmfdb_iso': '1425.i', 'p': 11, 'prec': 20, 'unit': 60176265803088638701, 'val': 1}
  • id: 37056
    {'lmfdb_iso': '1425.i', 'p': 13, 'prec': 20, 'unit': 372054719737476172738, 'val': 1}
  • id: 37058
    {'lmfdb_iso': '1425.i', 'p': 17, 'prec': 20, 'unit': 37596061658285593043827, 'val': 1}
  • id: 37062
    {'lmfdb_iso': '1425.i', 'p': 23, 'prec': 20, 'unit': 17685407322177580374550756, 'val': 1}
  • id: 37055
    {'lmfdb_iso': '1425.i', 'p': 29, 'prec': 20, 'unit': 389769518971462458096515052, 'val': 1}
  • id: 37066
    {'lmfdb_iso': '1425.i', 'p': 31, 'prec': 20, 'unit': 14751583903835356596539462994, 'val': 1}
  • id: 37051
    {'lmfdb_iso': '1425.i', 'p': 37, 'prec': 20, 'unit': 579198159242007026325348785797, 'val': 1}
  • id: 37053
    {'lmfdb_iso': '1425.i', 'p': 41, 'prec': 20, 'unit': 3117929649656559706664346966411, 'val': 1}
  • id: 37054
    {'lmfdb_iso': '1425.i', 'p': 43, 'prec': 20, 'unit': 150962983867004636611216959729344, 'val': -1}
  • id: 37057
    {'lmfdb_iso': '1425.i', 'p': 47, 'prec': 20, 'unit': 38444267787533801610300789948870, 'val': 1}
  • id: 37060
    {'lmfdb_iso': '1425.i', 'p': 53, 'prec': 20, 'unit': 1035933626655696825237058238541, 'val': 2}
  • id: 37065
    {'lmfdb_iso': '1425.i', 'p': 61, 'prec': 20, 'unit': 5434912632467221134691974337860145, 'val': 1}
  • id: 37059
    {'lmfdb_iso': '1425.i', 'p': 67, 'prec': 20, 'unit': 28205554255342871586132951014164692, 'val': 1}
  • id: 37064
    {'lmfdb_iso': '1425.i', 'p': 71, 'prec': 20, 'unit': 102042135161321187239590775413648998, 'val': 1}
  • id: 37061
    {'lmfdb_iso': '1425.i', 'p': 73, 'prec': 20, 'unit': 245433173309914224173946411063692640, 'val': 1}
  • id: 37049
    {'lmfdb_iso': '1425.i', 'p': 83, 'prec': 20, 'unit': 349913165282203643560055346480500804, 'val': 1}
  • id: 37063
    {'lmfdb_iso': '1425.i', 'p': 89, 'prec': 20, 'unit': 4272575942590421996305863405549306020, 'val': 1}
  • id: 37048
    {'lmfdb_iso': '1425.i', 'p': 97, 'prec': 20, 'unit': 350394288904326237406412748713371845, 'val': 1}