Elliptic curve data - 257400.ej1

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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': '257400ej', 'Clabel': '257400ej4', 'Cnumber': 4, 'abc_quality': 1.0133087662608755, 'absD': 400712040986400000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 17160, 'ainvs': [0, 0, 0, -5773692675, -168860709049250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 257400, 'degree': 132120576, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9413712344629012654678618471', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 113, 'isogeny_degrees': [1, 2, 4], 'jinv': [912446049969377120252018, 17177299425], 'lmfdb_iso': '257400.ej', 'lmfdb_label': '257400.ej1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -25660856, 50041356300], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '264.12.0.?', '312.12.0.?', '1144.12.0.?', '1320.24.0.?', '1560.24.0.?', '3432.24.0.?', '5720.24.0.?', '17160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '70.170045120995099697463299109', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9519612183985130321707301174', 'prec': 100}, 'szpiro_ratio': 6.344588493511658, '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, 0, 0, 4, 0, 0, 0, 1, 0, -1, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, 0, 4, 1, -1, -2, 4, -4, -6, 0, -10, 10, -4, 0, 10, 12, -2, -8, 8, 2, -16, -12, 10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 257400, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '257400.ej', 'trace_hash': 873501185236844889}
• 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': '0.00037719718544940330946422813728', 'prec': 113}, 'conductor': 257400, 'gens': [[11369100077086684783762867367670, 30880133135199767387278060535494091699822740550, 8982155076133]], 'heights': [{'__RealLiteral__': 0, 'data': '70.170045120995099697463299109', 'prec': 100}], 'lmfdb_label': '257400.ej1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.017319531453839371997746454342', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.7224984287232207265940391327280160743', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-43870, 0, 1]], 'xcoord_integral_points': [-43870]}
• lmfdb_label 257400.ej1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11047161
    {'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '257400.ej1', 'torsion': [2, 2]}
  • id: 11047162
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '257400.ej1', 'torsion': [4]}
  • id: 11047163
    {'degree': 2, 'field': [330, 0, 1], 'lmfdb_label': '257400.ej1', 'torsion': [4]}
  • id: 11047164
    {'degree': 4, 'field': [5041, 0, -122, 0, 1], 'lmfdb_label': '257400.ej1', 'torsion': [2, 4]}
  • id: 11047168
    {'degree': 8, 'field': [-297675, 0, 1080, 0, 1890, 0, 0, 0, 1], 'lmfdb_label': '257400.ej1', 'torsion': [6]}
  • id: 11047166
    {'degree': 8, 'field': [256, 0, 20, 0, 657, 0, 50, 0, 1], 'lmfdb_label': '257400.ej1', 'torsion': [8]}
  • id: 11047165
    {'degree': 8, 'field': [67849, 4228, -4750, 1048, -533, 8, 2, -4, 1], 'lmfdb_label': '257400.ej1', 'torsion': [2, 4]}
  • id: 11047167
    {'degree': 8, 'field': [20277739, -5227348, 5367286, -280600, 142111, -2176, 730, -4, 1], 'lmfdb_label': '257400.ej1', 'torsion': [8]}
  • id: 11047169
    {'degree': 16, 'field': [23222761, 0, -10362516, 0, 2067838, 0, -264384, 0, 26463, 0, -648, 0, 322, 0, 12, 0, 1], 'lmfdb_label': '257400.ej1', 'torsion': [4, 4]}
  • id: 11047170
    {'degree': 16, 'field': [1888617636, -4722047136, 5558619024, -1675694376, 840660864, 6527616, -18464112, 13515612, -2802299, -413780, 110608, -13268, 634, 700, -80, -8, 1], 'lmfdb_label': '257400.ej1', 'torsion': [2, 8]}
  • id: 11047171
    {'degree': 16, 'field': [27095135236, 0, 424416835856, 0, 279647183384, 0, 28860506544, 0, 1106945480, 0, 19192584, 0, 162884, 0, 656, 0, 1], 'lmfdb_label': '257400.ej1', 'torsion': [2, 8]}
  • id: 11047173
    {'degree': 16, 'field': [65127040000, 0, 36887296000, 0, -1645625600, 0, 145062400, 0, 1273600, 0, -28640, 0, 4480, 0, 40, 0, 1], 'lmfdb_label': '257400.ej1', 'torsion': [12]}
  • id: 11047172
    {'degree': 16, 'field': [2100931392681, 0, -5828846692152, 0, -122613279932, 0, -4207296324, 0, -17129970, 0, 181016, 0, 20328, 0, -132, 0, 1], 'lmfdb_label': '257400.ej1', 'torsion': [2, 6]}
  • id: 11047174
    {'degree': 16, 'field': [1682677482284304, 0, 206898011567808, 0, 10061466342400, 0, 248578549296, 0, 3505229640, 0, 31732184, 0, 188628, 0, 660, 0, 1], 'lmfdb_label': '257400.ej1', '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: 6381553
    {'conductor': 257400, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '257400.ej1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6381554
    {'conductor': 257400, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '257400.ej1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6381555
    {'conductor': 257400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '257400.ej1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6381556
    {'conductor': 257400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '257400.ej1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6381557
    {'conductor': 257400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '257400.ej1', '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

  
  
  • id: 3295809
    {'adelic_gens': [[7496, 3435, 4685, 6866], [1, 0, 8, 1], [2641, 3440, 3700, 13761], [1, 8, 0, 1], [1291, 4720, 9890, 15021], [1, 4, 4, 17], [15016, 9875, 3865, 7326], [6863, 0, 0, 17159], [2284, 10295, 7985, 17154], [17153, 8, 17152, 9], [7, 6, 17154, 17155]], 'adelic_image': '17160.48.0.?', 'conductor': 257400, 'lmfdb_label': '257400.ej1', 'prime': 0}
  • id: 925348
    {'conductor': 257400, 'elladic_image': '4.6.0.1', 'lmfdb_label': '257400.ej1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 257400.ej does not appear in ec_padic