Elliptic curve data - 45760.by1

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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': '45760b', 'Clabel': '45760b1', 'Cnumber': 1, 'abc_quality': 0.9824042900402343, 'absD': 1509540075929600000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 440, 'ainvs': [0, 0, 0, -195628, 67848752], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 45760, 'degree': 1198080, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1782919451018075409442741531', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 50, 'isogeny_degrees': [1], 'jinv': [-3158470573163361, 5758438400000], 'lmfdb_iso': '45760.by', 'lmfdb_label': '45760.by1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -3057, 133281], 'min_quad_twist_disc': 8, 'modell_images': [], 'modm_images': ['440.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.6287460130363735583925143632', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 55], [3, 2, 4160], [5, 6, 9152], [11, 12, 4160], [13, 14, 3520]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1385711742618895768184259709', 'prec': 100}, 'szpiro_ratio': 4.621001144399057, '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, 3, 0, -1, 0, -3, 0, 6, 0, -1, 0, -1, 0, -3, 0, -1, 0, 5, 0], 'aplist': [0, 3, -1, -3, -1, -1, -1, 5, -4, -7, 5, 3, -8, 6, -4, 9, 10, 11, -4, -9, -2, 4, 6, 7, 4], 'class_deg': 1, 'class_size': 1, 'conductor': 45760, 'isogeny_matrix': [[1]], 'lmfdb_iso': '45760.by', 'trace_hash': 1969822919206586247}
• 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': '0.012822114670395698129603845273', 'prec': 107}, 'conductor': 45760, 'gens': [[-5018, 51200, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '4.6287460130363735583925143632', 'prec': 100}], 'lmfdb_label': '45760.by1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.23962780445545121990019637132', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.8734099558866366893348046407101737326', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 1, 0], '5': [1, 0], '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': '45760.by1'}
• ec_torsion_growth •

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

  
  
  • id: 2234627
    {'degree': 3, 'field': [-8, 2, 0, 1], 'lmfdb_label': '45760.by1', 'torsion': [2]}
  • id: 2234628
    {'degree': 6, 'field': [16, -32, 118, 16, -7, -2, 1], 'lmfdb_label': '45760.by1', 'torsion': [2, 2]}
  • id: 2234629
    {'degree': 8, 'field': [-48, 0, -66, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '45760.by1', 'torsion': [3]}
  • id: 2234630
    {'degree': 12, 'field': [-12700, 34360, -41782, 3504, 11044, -20, -3297, 1300, -379, 100, -3, -4, 1], 'lmfdb_label': '45760.by1', 'torsion': [4]}
• 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: 1090411
    {'conductor': 45760, 'conductor_valuation': 6, 'discriminant_valuation': 31, 'j_denominator_valuation': 13, 'kodaira_symbol': -25, 'lmfdb_label': '45760.by1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1090412
    {'conductor': 45760, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '45760.by1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1090413
    {'conductor': 45760, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '45760.by1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1090414
    {'conductor': 45760, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '45760.by1', 'prime': 13, 'reduction_type': -1, '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

  
  {'adelic_gens': [[439, 2, 438, 3], [221, 2, 221, 3], [321, 2, 321, 3], [1, 1, 439, 0], [1, 0, 2, 1], [1, 2, 0, 1], [111, 2, 0, 1], [177, 2, 177, 3]], 'adelic_image': '440.2.0.?', 'conductor': 45760, 'lmfdb_label': '45760.by1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 2290313
    {'lmfdb_iso': '45760.by', 'p': 7, 'prec': 20, 'unit': 1803175475201910, 'val': 1}
  • id: 2290318
    {'lmfdb_iso': '45760.by', 'p': 17, 'prec': 20, 'unit': 129181696055141465060734, 'val': 1}
  • id: 2290309
    {'lmfdb_iso': '45760.by', 'p': 19, 'prec': 20, 'unit': 1488550975887544294164524, 'val': 1}
  • id: 2290323
    {'lmfdb_iso': '45760.by', 'p': 23, 'prec': 20, 'unit': 4239314091220760381331256, 'val': 1}
  • id: 2290316
    {'lmfdb_iso': '45760.by', 'p': 29, 'prec': 20, 'unit': 3255358568218086218638106578, 'val': 1}
  • id: 2290328
    {'lmfdb_iso': '45760.by', 'p': 31, 'prec': 20, 'unit': 17043198125491724075068459559, 'val': 1}
  • id: 2290312
    {'lmfdb_iso': '45760.by', 'p': 37, 'prec': 20, 'unit': 541359723116243015520803759352, 'val': 1}
  • id: 2290314
    {'lmfdb_iso': '45760.by', 'p': 41, 'prec': 20, 'unit': 1100185401231636951821017350335, 'val': 1}
  • id: 2290315
    {'lmfdb_iso': '45760.by', 'p': 43, 'prec': 20, 'unit': 10592875444257144173058734402864, 'val': 1}
  • id: 2290326
    {'lmfdb_iso': '45760.by', 'p': 47, 'prec': 20, 'unit': 29567313105266876907745740400025, 'val': 1}
  • id: 2290320
    {'lmfdb_iso': '45760.by', 'p': 53, 'prec': 20, 'unit': 21853207352974501419415928333117, 'val': 1}
  • id: 2290321
    {'lmfdb_iso': '45760.by', 'p': 59, 'prec': 20, 'unit': 3505013205124303694487340190726216, 'val': 1}
  • id: 2290327
    {'lmfdb_iso': '45760.by', 'p': 61, 'prec': 20, 'unit': 642781302125835082465268717003332, 'val': 1}
  • id: 2290311
    {'lmfdb_iso': '45760.by', 'p': 67, 'prec': 20, 'unit': 44392105716535996391030390072758893, 'val': 1}
  • id: 2290325
    {'lmfdb_iso': '45760.by', 'p': 71, 'prec': 20, 'unit': 60398003004293220468621978263385009, 'val': 1}
  • id: 2290322
    {'lmfdb_iso': '45760.by', 'p': 73, 'prec': 20, 'unit': 51289227198580675555345860737182303, 'val': 1}
  • id: 2290317
    {'lmfdb_iso': '45760.by', 'p': 79, 'prec': 20, 'unit': 1091017100807686628563345184037589817, 'val': 1}
  • id: 2290319
    {'lmfdb_iso': '45760.by', 'p': 83, 'prec': 20, 'unit': 2554195252085421258407730236995888927, 'val': 1}
  • id: 2290324
    {'lmfdb_iso': '45760.by', 'p': 89, 'prec': 20, 'unit': 10806564802963150499729192699047734806, 'val': 1}
  • id: 2290310
    {'lmfdb_iso': '45760.by', 'p': 97, 'prec': 20, 'unit': 18514461223050099170899849612237145741, 'val': 1}