Elliptic curve data - 167580.u2

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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': '167580bn', 'Clabel': '167580bn3', 'Cnumber': 3, 'abc_quality': 1.2030192000409687, 'absD': 72628969003156818000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 7980, 'ainvs': [0, 0, 0, -1173648, -267169903], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 167580, 'degree': 4976640, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5087445771209642785062483913', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [130287139815424, 52926616125], 'lmfdb_iso': '167580.u', 'lmfdb_label': '167580.u2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -2661, -29736], 'min_quad_twist_disc': 21, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '21.8.0-3.a.1.1', '30.24.0.a.1', '42.24.0-6.a.1.3', '76.6.0.?', '210.48.0.?', '228.24.0.?', '380.12.0.?', '1140.48.1.?', '1596.48.0.?', '7980.96.1.?'], '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, 'serre_invariants': [[2, 2, 2205], [3, 8, 196], [5, 6, 33516], [7, 26, 3420], [19, 20, 8820]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75543429807260434378353869396', 'prec': 103}, 'szpiro_ratio': 4.450870669923776, '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, -1, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 6, 0, -1, 0], 'aplist': [0, 0, -1, 0, 0, 4, 6, -1, -6, -6, -8, -4, -6, -10, 6, -12, 12, 10, -4, 0, -14, 8, -18, -6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 167580, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '167580.u', 'trace_hash': 1914916161675185128}
• 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': '0.0066211304932341720362143006152', 'prec': 110}, 'conductor': 167580, 'gens': [], 'heights': [], 'lmfdb_label': '167580.u2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.15028237878578324908124106694', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.90169427271469949448744640165751339171', 'prec': 133}, 'tamagawa_product': 24, 'torsion_generators': [[1183, 0, 1]], 'xcoord_integral_points': [1183]}
• lmfdb_label 167580.u2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7467914
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '167580.u2', 'torsion': [2, 2]}
  • id: 7467915
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '167580.u2', 'torsion': [6]}
  • id: 7467917
    {'degree': 4, 'field': [4, 2, 5, -1, 1], 'lmfdb_label': '167580.u2', 'torsion': [2, 6]}
  • id: 7467916
    {'degree': 4, 'field': [4341, -222, -176, -2, 1], 'lmfdb_label': '167580.u2', 'torsion': [4]}
  • id: 7467918
    {'degree': 6, 'field': [-12, 0, 0, -36, 0, 0, 1], 'lmfdb_label': '167580.u2', 'torsion': [6]}
  • id: 7467919
    {'degree': 8, 'field': [31221, 159318, 181482, 80562, 13138, -358, -238, -2, 1], 'lmfdb_label': '167580.u2', 'torsion': [2, 4]}
  • id: 7467921
    {'degree': 8, 'field': [52126, -28956, 5820, -1254, 755, -114, 36, 0, 1], 'lmfdb_label': '167580.u2', 'torsion': [12]}
  • id: 7467920
    {'degree': 8, 'field': [307876, -233568, 110440, -31408, 4754, -632, 120, -2, 1], 'lmfdb_label': '167580.u2', 'torsion': [2, 4]}
  • id: 7467923
    {'degree': 12, 'field': [-3239, 690, -1683, 8762, -1974, -3702, 2069, -654, 294, -62, 9, -6, 1], 'lmfdb_label': '167580.u2', 'torsion': [2, 6]}
  • id: 7467922
    {'degree': 12, 'field': [316, -984, 612, 560, 240, -804, 605, -366, 195, -80, 27, -6, 1], 'lmfdb_label': '167580.u2', 'torsion': [3, 6]}
  • id: 7467926
    {'degree': 16, 'field': [45433341, -38239290, 37114632, -21556998, 9213562, -4792932, 3897834, -1853234, 467255, -55556, 5102, 886, -738, 198, 2, -4, 1], 'lmfdb_label': '167580.u2', 'torsion': [2, 12]}
  • id: 7467925
    {'degree': 16, 'field': [1393524036, -2225414232, 1487761704, -529043472, 112120810, -16643552, 991312, 701358, -76611, -97966, 30198, -3002, 684, -210, 22, -4, 1], 'lmfdb_label': '167580.u2', 'torsion': [2, 12]}
  • id: 7467924
    {'degree': 16, 'field': [6516277290000, 0, -2112573576000, 0, 10007802400, 0, 3891836800, 0, -61775080, 0, -1487120, 0, 44216, 0, -368, 0, 1], 'lmfdb_label': '167580.u2', 'torsion': [8]}
  • id: 7467927
    {'degree': 18, 'field': [130574730808, 131898592128, 128992622664, 69706805072, 22243909872, -3507083136, -3651847686, 56355732, 487093308, 128907939, 4520223, -3252972, -462606, 21126, 9438, 232, -78, -9, 1], 'lmfdb_label': '167580.u2', '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: 4149244
    {'conductor': 167580, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '167580.u2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 4149245
    {'conductor': 167580, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '167580.u2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4149246
    {'conductor': 167580, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '167580.u2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4149247
    {'conductor': 167580, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '167580.u2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4149248
    {'conductor': 167580, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '167580.u2', 'prime': 19, '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: 2746668
    {'adelic_gens': [[2659, 2268, 2660, 7979], [11, 2, 7930, 7971], [4201, 5712, 126, 2353], [7969, 12, 7968, 13], [1, 0, 12, 1], [1, 6, 6, 37], [2279, 0, 0, 7979], [99, 2758, 686, 4481], [1, 12, 0, 1], [2290, 3423, 5901, 5692]], 'adelic_image': '7980.96.1.?', 'conductor': 167580, 'lmfdb_label': '167580.u2', 'prime': 0}
  • id: 634865
    {'conductor': 167580, 'elladic_image': '2.3.0.1', 'lmfdb_label': '167580.u2', 'modell_image': '2B', 'prime': 2}
  • id: 634866
    {'conductor': 167580, 'elladic_image': '3.4.0.1', 'lmfdb_label': '167580.u2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 167580.u does not appear in ec_padic