Elliptic curve data - 346560.o2

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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': '346560o', 'Clabel': '346560o1', 'Cnumber': 1, 'abc_quality': 0.9827037551726161, 'absD': 2105352000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2280, 'ainvs': [0, -1, 0, -861, -9189], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 346560, 'degree': 186624, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.56581945742601134442666720228', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 3], 'jinv': [3058794496, 91125], 'lmfdb_iso': '346560.o', 'lmfdb_label': '346560.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -215, 1256], 'min_quad_twist_disc': -8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '10.2.0.a.1', '30.8.0.a.1', '456.8.0.?', '2280.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4714527629366661949902107911', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27149396271503472028345343043', 'prec': 107}, 'szpiro_ratio': 2.4999623430018723, '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, -1, 0, -1, 0, -2, 0, 1, 0, -3, 0, -4, 0, 1, 0, 0, 0, 0, 0], 'aplist': [0, -1, -1, -2, -3, -4, 0, 0, 6, 3, 5, 8, 6, -4, -6, -6, 9, 7, -2, -9, -4, -7, 0, -3, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 346560, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '346560.o', 'trace_hash': 355354716903451617}
• 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': '0.32250426602412281242238671450', 'prec': 103}, 'conductor': 346560, 'gens': [[-75, 27, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '2.4714527629366661949902107911', 'prec': 100}], 'lmfdb_label': '346560.o2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.88287271948353627461511116291', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3639564437779879404880212650488470906', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 346560.o2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14470687
    {'degree': 2, 'field': [-38, 0, 1], 'lmfdb_label': '346560.o2', 'torsion': [3]}
  • id: 14470688
    {'degree': 3, 'field': [45, -25, -1, 1], 'lmfdb_label': '346560.o2', 'torsion': [2]}
  • id: 14470689
    {'degree': 6, 'field': [-369, -183, 158, 49, -22, -3, 1], 'lmfdb_label': '346560.o2', 'torsion': [2, 2]}
  • id: 14470691
    {'degree': 6, 'field': [-38, 0, 76, 0, -38, 0, 1], 'lmfdb_label': '346560.o2', 'torsion': [6]}
  • id: 14470690
    {'degree': 6, 'field': [1824, 0, 532, 0, 38, 0, 1], 'lmfdb_label': '346560.o2', 'torsion': [3]}
  • id: 14470694
    {'degree': 12, 'field': [1179, -9570, 26191, -22506, -13786, 25086, -339, -6390, 996, 390, -67, -6, 1], 'lmfdb_label': '346560.o2', 'torsion': [2, 6]}
  • id: 14470693
    {'degree': 12, 'field': [22801, 906, 2301, -6130, 2370, 786, -163, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '346560.o2', 'torsion': [3, 3]}
  • id: 14470692
    {'degree': 12, 'field': [27307845, 0, 4213592, 0, -603953, 0, -52364, 0, 3743, 0, -76, 0, 1], 'lmfdb_label': '346560.o2', 'torsion': [4]}
  • id: 14470695
    {'degree': 18, 'field': [-13313767043237, -12749902140558, 10939671668235, 2488495312538, -1591473392937, -387755198574, 150198698940, 28342509954, -8546310267, -1093964868, 285222054, 24278970, -5617449, -311898, 64098, 2134, -393, -6, 1], 'lmfdb_label': '346560.o2', 'torsion': [9]}
  • id: 14470696
    {'degree': 18, 'field': [1481544, 0, 90868032, 0, -12510816, 0, -8428628, 0, 1992720, 0, -138624, 0, 8702, 0, -456, 0, 0, 0, 1], 'lmfdb_label': '346560.o2', 'torsion': [6]}
• 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: 8575500
    {'conductor': 346560, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '346560.o2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8575501
    {'conductor': 346560, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '346560.o2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8575502
    {'conductor': 346560, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '346560.o2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8575503
    {'conductor': 346560, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '346560.o2', 'prime': 19, 'reduction_type': 0, '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: 3828294
    {'adelic_gens': [[4, 3, 9, 7], [565, 6, 564, 7], [2275, 6, 2274, 7], [457, 6, 231, 19], [1139, 0, 0, 2279], [2184, 1799, 1805, 1899], [571, 0, 0, 1], [1, 6, 0, 1], [63, 2, 400, 7], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '2280.16.0.?', 'conductor': 346560, 'lmfdb_label': '346560.o2', 'prime': 0}
  • id: 1200449
    {'conductor': 346560, 'elladic_image': '3.4.0.1', 'lmfdb_label': '346560.o2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 346560.o does not appear in ec_padic