Elliptic curve data - 357390.e4

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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': '357390e', 'Clabel': '357390e3', 'Cnumber': 3, 'abc_quality': 1.006986298424931, 'absD': 29548158168128744734064640000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 25080, 'ainvs': [1, -1, 0, -5672372310, -164225827474700], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 357390, 'degree': 557383680, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3646232589199228750790002390', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [588530213343917460371881, 861551575695360000], 'lmfdb_iso': '357390.e', 'lmfdb_label': '357390.e4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1745883, -886935194], 'min_quad_twist_disc': 57, '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', '12.48.0-12.g.1.5', '57.8.0-3.a.1.1', '66.24.0-6.a.1.3', '114.24.0.?', '120.96.0.?', '132.96.0.?', '228.96.0.?', '418.6.0.?', '440.12.0.?', '760.12.0.?', '836.12.0.?', '1254.48.0.?', '1320.192.1.?', '2280.192.1.?', '2508.192.1.?', '8360.24.0.?', '25080.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3430976250026477993768639046', 'prec': 100}, 'szpiro_ratio': 6.177586571297165, '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, 0, 1, -1, 0, -4, -1, 0, 1, 1, 0, -2, 4, 0, 1, -6, 0, 0, -1], 'aplist': [-1, 0, -1, -4, 1, -2, -6, 0, 0, -6, 4, -2, 6, 8, 0, -6, 0, 14, 4, -12, -10, -8, 0, -6, 10], 'class_deg': 12, 'class_size': 8, 'conductor': 357390, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '357390.e', 'trace_hash': 662430015321505636}
• 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': '0.00016178431190451245186170509629', 'prec': 113}, 'conductor': 357390, 'gens': [], 'heights': [], 'lmfdb_label': '357390.e4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.017397888929052367546258652004', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.41754933429725682111020764808356417114', 'prec': 133}, 'tamagawa_product': 96, 'torsion_generators': [[-44740, 22370, 1]], 'xcoord_integral_points': [-44740]}
• lmfdb_label 357390.e4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14889428
    {'degree': 2, 'field': [-52, -1, 1], 'lmfdb_label': '357390.e4', 'torsion': [2, 2]}
  • id: 14889429
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '357390.e4', 'torsion': [4]}
  • id: 14889431
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '357390.e4', 'torsion': [6]}
  • id: 14889430
    {'degree': 2, 'field': [157, -1, 1], 'lmfdb_label': '357390.e4', 'torsion': [4]}
  • id: 14889433
    {'degree': 4, 'field': [4, 0, 15, 0, 1], 'lmfdb_label': '357390.e4', 'torsion': [2, 6]}
  • id: 14889434
    {'degree': 4, 'field': [25, -5, -4, -1, 1], 'lmfdb_label': '357390.e4', 'torsion': [12]}
  • id: 14889435
    {'degree': 4, 'field': [169, 0, -7, 0, 1], 'lmfdb_label': '357390.e4', 'torsion': [12]}
  • id: 14889432
    {'degree': 4, 'field': [2704, 52, 53, -1, 1], 'lmfdb_label': '357390.e4', 'torsion': [2, 4]}
  • id: 14889436
    {'degree': 6, 'field': [-4800, 0, 0, -225, 0, 0, 1], 'lmfdb_label': '357390.e4', 'torsion': [6]}
  • id: 14889440
    {'degree': 8, 'field': [16, 0, -60, 0, 221, 0, -15, 0, 1], 'lmfdb_label': '357390.e4', 'torsion': [2, 12]}
  • id: 14889438
    {'degree': 8, 'field': [14400, -1200, -1220, 370, -19, -2, -7, -2, 1], 'lmfdb_label': '357390.e4', 'torsion': [8]}
  • id: 14889439
    {'degree': 8, 'field': [231621, 101640, 58849, 7150, 2092, -110, 41, 0, 1], 'lmfdb_label': '357390.e4', 'torsion': [8]}
  • id: 14889437
    {'degree': 8, 'field': [246112, -383056, 230620, -61720, 4401, 1036, -167, -2, 1], 'lmfdb_label': '357390.e4', 'torsion': [2, 4]}
  • id: 14889442
    {'degree': 12, 'field': [-65933984, 32156184, 11980416, -4335140, -1378575, 428724, -17799, -13356, 3330, 130, -69, -6, 1], 'lmfdb_label': '357390.e4', 'torsion': [2, 6]}
  • id: 14889441
    {'degree': 12, 'field': [17200, -64200, 63000, -250, 7125, -9480, 5051, -1806, 690, -170, 45, -6, 1], 'lmfdb_label': '357390.e4', 'torsion': [3, 12]}
  • id: 14889443
    {'degree': 12, 'field': [15768204, 15584742, 4698873, -4018170, 1019745, -142128, 37741, 3324, -1695, 340, 33, -6, 1], 'lmfdb_label': '357390.e4', 'torsion': [12]}
  • id: 14889447
    {'degree': 16, 'field': [391876, 0, 3975240, 0, 10569857, 0, 2797560, 0, 378744, 0, 32490, 0, 1772, 0, 60, 0, 1], 'lmfdb_label': '357390.e4', 'torsion': [2, 12]}
  • id: 14889448
    {'degree': 16, 'field': [16777216, 0, 6553600, 0, 1298432, 0, 288000, 0, 50768, 0, 4500, 0, 317, 0, 25, 0, 1], 'lmfdb_label': '357390.e4', 'torsion': [24]}
  • id: 14889445
    {'degree': 16, 'field': [285610000, 0, -59826000, 0, 10689500, 0, -1095660, 0, 69321, 0, 9369, 0, 332, 0, 21, 0, 1], 'lmfdb_label': '357390.e4', 'torsion': [2, 8]}
  • id: 14889449
    {'degree': 16, 'field': [410678416, 18312544, 2944016, -43270704, 23891236, -3747592, 3067308, -1733972, 670797, -186524, 66732, -17476, 4126, -588, 104, -8, 1], 'lmfdb_label': '357390.e4', 'torsion': [24]}
  • id: 14889446
    {'degree': 16, 'field': [655360000, 0, -235520000, 0, 58630400, 0, -6940800, 0, 574256, 0, -29352, 0, 1193, 0, -47, 0, 1], 'lmfdb_label': '357390.e4', 'torsion': [2, 8]}
  • id: 14889444
    {'degree': 16, 'field': [197926222321, 0, -36351435301, 0, 4179643613, 0, -318855762, 0, 18221342, 0, -717666, 0, 19037, 0, -157, 0, 1], 'lmfdb_label': '357390.e4', 'torsion': [4, 4]}
  • id: 14889450
    {'degree': 18, 'field': [349084387724799375, 329813887769313750, 123910710365970000, 22834278411219000, 1774323539975250, -64664164620000, -20730591114525, -370005441300, 160185008700, 6032845500, -1100674800, -53519400, 7073777, 556710, -1692, -308, 54, 0, 1], 'lmfdb_label': '357390.e4', '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: 8845375
    {'conductor': 357390, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '357390.e4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8845376
    {'conductor': 357390, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '357390.e4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8845377
    {'conductor': 357390, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '357390.e4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8845378
    {'conductor': 357390, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '357390.e4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 8845379
    {'conductor': 357390, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '357390.e4', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3893011
    {'adelic_gens': [[5241, 1048, 11036, 7229], [1, 12, 12, 145], [5017, 24, 10044, 289], [4179, 8356, 25060, 12459], [20536, 21, 8835, 24706], [15, 106, 23774, 15851], [17144, 25077, 17619, 86], [1, 24, 0, 1], [25057, 24, 25056, 25], [18817, 24, 18714, 24751], [1, 0, 24, 1]], 'adelic_image': '25080.384.5.?', 'conductor': 357390, 'lmfdb_label': '357390.e4', 'prime': 0}
  • id: 1233530
    {'conductor': 357390, 'elladic_image': '4.6.0.1', 'lmfdb_label': '357390.e4', 'modell_image': '2B', 'prime': 2}
  • id: 1233531
    {'conductor': 357390, 'elladic_image': '3.4.0.1', 'lmfdb_label': '357390.e4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 357390.e does not appear in ec_padic