Elliptic curve data - 369600.in1

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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': '369600in', 'Clabel': '369600in7', 'Cnumber': 7, 'abc_quality': 1.0452427382284861, 'absD': 31297964544000000000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, -1, 0, -40748781633, 3166068810535137], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 369600, 'degree': 764411904, 'elladic_images': ['8.12.0.12', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.6766807471018618770487221613', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 221, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1826870018430810435423307849, 7641104625000000000], 'lmfdb_iso': '369600.in', 'lmfdb_label': '369600.in1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -25467989, -49471735264], 'min_quad_twist_disc': -40, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.2', '12.24.0.g.1', '20.12.0-4.c.1.2', '24.96.0-24.bu.2.9', '40.24.0-40.y.1.9', '60.48.0-12.g.1.8', '120.192.1.?', '616.24.0.?', '924.48.0.?', '1848.192.1.?', '3080.48.0.?', '4620.96.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '62.264537439054076337127523805', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1925], [3, 4, 11200], [5, 18, 14784], [7, 8, 52800], [11, 12, 33600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8322410200448937256224943125', 'prec': 100}, 'szpiro_ratio': 6.622816587518887, '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, -1, 0, 0, 0, 1, 0, 1, 0, -1, 0, 2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, -1, 0, 1, -1, 2, 6, -4, 0, 6, 4, 2, -6, 4, 0, -6, 12, -14, 16, 0, -2, 4, 0, -6, 10], 'class_deg': 12, 'class_size': 8, 'conductor': 369600, 'isogeny_matrix': [[1, 2, 3, 4, 6, 12, 12, 4], [2, 1, 6, 2, 3, 6, 6, 2], [3, 6, 1, 12, 2, 4, 4, 12], [4, 2, 12, 1, 6, 3, 12, 4], [6, 3, 2, 6, 1, 2, 2, 6], [12, 6, 4, 3, 2, 1, 4, 12], [12, 6, 4, 12, 2, 4, 1, 3], [4, 2, 12, 4, 6, 12, 3, 1]], 'lmfdb_iso': '369600.in', 'trace_hash': 403784130381731567}
• 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': '0.000086673576131217279920095436812', 'prec': 117}, 'conductor': 369600, 'gens': [[22693781332154892228053035848, 1075392779101670363035578165150552499873761, 395991613589]], 'heights': [{'__RealLiteral__': 0, 'data': '62.264537439054076337127523805', 'prec': 100}], 'lmfdb_label': '369600.in1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.032626891634708994779800253964', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.1259932628371938405135607348801968797', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[116727, 0, 1]], 'xcoord_integral_points': [116727]}
• lmfdb_label 369600.in1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15342010
    {'degree': 2, 'field': [-770, 0, 1], 'lmfdb_label': '369600.in1', 'torsion': [4]}
  • id: 15342009
    {'degree': 2, 'field': [-154, 0, 1], 'lmfdb_label': '369600.in1', 'torsion': [2, 2]}
  • id: 15342012
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '369600.in1', 'torsion': [6]}
  • id: 15342011
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '369600.in1', 'torsion': [4]}
  • id: 15342016
    {'degree': 4, 'field': [19, 14, -13, -2, 1], 'lmfdb_label': '369600.in1', 'torsion': [12]}
  • id: 15342014
    {'degree': 4, 'field': [961, 0, -92, 0, 1], 'lmfdb_label': '369600.in1', 'torsion': [2, 6]}
  • id: 15342013
    {'degree': 4, 'field': [23255, 310, -309, -2, 1], 'lmfdb_label': '369600.in1', 'torsion': [2, 4]}
  • id: 15342015
    {'degree': 4, 'field': [34225, 0, -400, 0, 1], 'lmfdb_label': '369600.in1', 'torsion': [12]}
  • id: 15342017
    {'degree': 6, 'field': [4969, 3780, 300, -126, 30, 0, 1], 'lmfdb_label': '369600.in1', 'torsion': [6]}
  • id: 15342019
    {'degree': 8, 'field': [-61696, 83200, 1704, -23216, 4647, 502, -141, -2, 1], 'lmfdb_label': '369600.in1', 'torsion': [8]}
  • id: 15342020
    {'degree': 8, 'field': [14211, 5988, -5074, -1776, 759, 152, -46, -4, 1], 'lmfdb_label': '369600.in1', 'torsion': [8]}
  • id: 15342021
    {'degree': 8, 'field': [1561345, 209620, -200396, -18284, 8733, 488, -158, -4, 1], 'lmfdb_label': '369600.in1', 'torsion': [2, 12]}
  • id: 15342018
    {'degree': 8, 'field': [56565441, 0, 453260, 0, -14942, 0, 20, 0, 1], 'lmfdb_label': '369600.in1', 'torsion': [2, 4]}
  • id: 15342022
    {'degree': 12, 'field': [727609, 0, 1041000, 0, 105900, 0, 20294, 0, 1500, 0, 60, 0, 1], 'lmfdb_label': '369600.in1', 'torsion': [3, 6]}
  • id: 15342025
    {'degree': 12, 'field': [16324561, 9044028, 905220, -991116, -213846, -1512, 24174, 0, 120, -252, 18, 0, 1], 'lmfdb_label': '369600.in1', 'torsion': [12]}
  • id: 15342023
    {'degree': 12, 'field': [4725563914, 1049711292, -348481818, -136971324, 37192107, 3123792, -1075626, 0, 20595, -252, -216, 0, 1], 'lmfdb_label': '369600.in1', 'torsion': [2, 6]}
  • id: 15342024
    {'degree': 12, 'field': [6864619609, 0, 252159000, 0, -25005900, 0, 187706, 0, 1500, 0, 60, 0, 1], 'lmfdb_label': '369600.in1', 'torsion': [12]}
  • id: 15342027
    {'degree': 16, 'field': [872356, 0, -32379404, 0, 41135677, 0, -14120910, 0, 2155611, 0, -167520, 0, 6787, 0, -134, 0, 1], 'lmfdb_label': '369600.in1', 'torsion': [2, 8]}
  • id: 15342028
    {'degree': 16, 'field': [145178401, 0, 88788288, 0, 19366704, 0, 1700352, 0, 83074, 0, 7872, 0, 432, 0, 0, 0, 1], 'lmfdb_label': '369600.in1', 'torsion': [2, 8]}
  • id: 15342031
    {'degree': 16, 'field': [926067771, 138266244, -457807590, -78232272, 103593493, 18679392, -13991874, -2523908, 1247810, 209716, -76438, -10712, 3177, 312, -82, -4, 1], 'lmfdb_label': '369600.in1', 'torsion': [24]}
  • id: 15342030
    {'degree': 16, 'field': [3678811921, -23685488972, 29375135260, -6981288140, -6638301841, 3300484048, 232883658, -337782140, 21926996, 13717988, -1615512, -242356, 36599, 1736, -326, -4, 1], 'lmfdb_label': '369600.in1', 'torsion': [24]}
  • id: 15342026
    {'degree': 16, 'field': [3236391885597025, 0, 15468668912940, 0, -1706553571434, 0, -3416164608, 0, 341637799, 0, 90696, 0, -30126, 0, 12, 0, 1], 'lmfdb_label': '369600.in1', 'torsion': [4, 4]}
  • id: 15342029
    {'degree': 16, 'field': [3258640711095025, 0, -60262294217040, 0, -1066332949924, 0, 13123464432, 0, 402432054, 0, -380784, 0, -28996, 0, -48, 0, 1], 'lmfdb_label': '369600.in1', 'torsion': [2, 12]}
  • id: 15342032
    {'degree': 18, 'field': [-9725210928936, 10387277467344, -6975629262180, 3560688852192, -164298309390, -777411872316, 311773475169, 23065778700, -29288730708, 935207640, 1058397435, -34217640, -18662670, 286740, 159975, -708, -648, 0, 1], 'lmfdb_label': '369600.in1', 'torsion': [18]}
• 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: 9143317
    {'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 27, 'j_denominator_valuation': 9, 'kodaira_symbol': -21, 'lmfdb_label': '369600.in1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9143318
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '369600.in1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9143319
    {'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '369600.in1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9143320
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '369600.in1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9143321
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '369600.in1', 'prime': 11, '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: 3964403
    {'adelic_gens': [[5543, 9216, 1836, 8951], [15, 106, 7934, 11], [1, 12, 12, 145], [3376, 21, 2235, 8866], [9217, 24, 9216, 25], [6929, 9216, 6918, 8951], [1, 24, 0, 1], [1336, 21, 1035, 8866], [7314, 8831, 5005, 6544], [7701, 6164, 20, 4701], [1, 0, 24, 1]], 'adelic_image': '9240.384.5.?', 'conductor': 369600, 'lmfdb_label': '369600.in1', 'prime': 0}
  • id: 1268960
    {'conductor': 369600, 'elladic_image': '8.12.0.12', 'lmfdb_label': '369600.in1', 'modell_image': '2B', 'prime': 2}
  • id: 1268961
    {'conductor': 369600, 'elladic_image': '3.4.0.1', 'lmfdb_label': '369600.in1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 369600.in does not appear in ec_padic