Elliptic curve data - 7605.k2

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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': '7605i', 'Clabel': '7605i1', 'Cnumber': 1, 'abc_quality': 1.1001316663356295, 'absD': 1515603301875, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 78, 'ainvs': [0, 0, 1, 2652, -27297], 'analytic_rank': 0, 'bad_primes': [3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 7605, 'degree': 9216, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0255225185154295502616693078', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 3], 'jinv': [16742875136, 12301875], 'lmfdb_iso': '7605.k', 'lmfdb_label': '7605.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 295, 1109], 'min_quad_twist_disc': -3, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0.b.1', '39.8.0-3.a.1.2', '78.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1521], [3, 2, 845], [5, 6, 1521], [13, 38, 45]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.048724814604451915221798782412', 'prec': 107}, 'szpiro_ratio': 3.945903830225127, '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, 0, -2, -1, 0, 1, 0, 0, 0, 6, 0, 0, 0, 0, 4, 0, 0, 4, 2], 'aplist': [0, 0, -1, 1, 6, 0, 0, 4, 6, 6, -5, -2, 0, 11, 6, 0, 6, -1, -11, -6, -5, 11, 12, 12, -17], 'class_deg': 3, 'class_size': 2, 'conductor': 7605, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '7605.k', 'trace_hash': 707174252590918779}
• 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': '0.12860044111775834865087499088', 'prec': 103}, 'conductor': 7605, 'gens': [], 'heights': [], 'lmfdb_label': '7605.k2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.47572728168132153356850955793', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9029091267252861342740382317271170323', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 9, 0], '3': 'a', '5': [0, 0], '7': [2, 0], '11': [0, 0], '13': 'a', '17': [0, 0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '7605.k2'}
• ec_torsion_growth •

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

  
  
  • id: 398812
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '7605.k2', 'torsion': [3]}
  • id: 398813
    {'degree': 3, 'field': [-26, 0, 0, 1], 'lmfdb_label': '7605.k2', 'torsion': [2]}
  • id: 398815
    {'degree': 6, 'field': [-325, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '7605.k2', 'torsion': [3]}
  • id: 398816
    {'degree': 6, 'field': [12, 12, -8, -9, 7, -3, 1], 'lmfdb_label': '7605.k2', 'torsion': [6]}
  • id: 398814
    {'degree': 6, 'field': [27, 0, -17, 0, 1, 0, 1], 'lmfdb_label': '7605.k2', 'torsion': [2, 2]}
  • id: 398818
    {'degree': 12, 'field': [144, -324, 357, -621, 634, 63, -193, 96, -9, -3, 2, -3, 1], 'lmfdb_label': '7605.k2', 'torsion': [3, 3]}
  • id: 398819
    {'degree': 12, 'field': [144, 144, 240, 120, 88, -132, 197, -99, 30, -3, 2, -3, 1], 'lmfdb_label': '7605.k2', 'torsion': [2, 6]}
  • id: 398817
    {'degree': 12, 'field': [1665, 5346, 4260, 1080, 705, -108, 352, -88, 139, -38, 16, -4, 1], 'lmfdb_label': '7605.k2', 'torsion': [4]}
  • id: 398821
    {'degree': 18, 'field': [-4356, 13464, -1212, -9984, -25306, 31614, 10687, 2769, -9543, 7914, 3239, -4065, 1282, 129, -99, -36, 35, -9, 1], 'lmfdb_label': '7605.k2', 'torsion': [6]}
  • id: 398820
    {'degree': 18, 'field': [2787409, -513570, 1145115, 679930, -80337, -6825, 196685, -70803, -8598, 31828, -13047, -1449, 2924, -1248, -69, 169, -18, -6, 1], 'lmfdb_label': '7605.k2', 'torsion': [9]}
• 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: 156956
    {'conductor': 7605, 'conductor_valuation': 2, 'discriminant_valuation': 15, 'j_denominator_valuation': 9, 'kodaira_symbol': -13, 'lmfdb_label': '7605.k2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 156957
    {'conductor': 7605, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '7605.k2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 156958
    {'conductor': 7605, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '7605.k2', 'prime': 13, '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: 1714264
    {'adelic_gens': [[45, 2, 46, 7], [12, 59, 23, 72], [1, 0, 6, 1], [4, 3, 9, 7], [73, 6, 72, 7], [3, 4, 8, 11], [1, 6, 0, 1]], 'adelic_image': '78.16.0.?', 'conductor': 7605, 'lmfdb_label': '7605.k2', 'prime': 0}
  • id: 37389
    {'conductor': 7605, 'elladic_image': '3.4.0.1', 'lmfdb_label': '7605.k2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 7605.k does not appear in ec_padic