Elliptic curve data - 300.c1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '300b', 'Clabel': '300b2', 'Cnumber': 2, 'abc_quality': 1.116419520515943, 'absD': 300000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 18, 'ainvs': [0, 1, 0, -30333, -2043537], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 300, 'degree': 540, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0599358171485290256190801184', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 3], 'jinv': [-30866268160, 3], 'lmfdb_iso': '300.c', 'lmfdb_label': '300.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1213, -15863], 'min_quad_twist_disc': 5, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '6.16.0-6.b.1.1', '18.48.0-18.c.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 4, 100], [5, 14, 12]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.47512091151416809705958085139', 'prec': 107}, 'szpiro_ratio': 7.464101388917847, '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, 0, 0, -1, 0, 1, 0, 6, 0, 5, 0, 0, 0, -6, 0, 5, 0], 'aplist': [0, 1, 0, -1, 6, 5, -6, 5, -6, -6, -1, 2, 0, -1, 6, -12, -6, -13, 11, 0, 2, 8, -6, 0, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 300, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '300.c', 'trace_hash': 2267565575797024158}
• 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': '0.12004703744479399634390688033', 'prec': 103}, 'conductor': 300, 'gens': [], 'heights': [], 'lmfdb_label': '300.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18087957215698698486249151761', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6279161494128828637624236584657508085', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 1], '5': 'a'}, 'iwp0': 5, 'lmfdb_label': '300.c1'}
• ec_torsion_growth •

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

  
  
  • id: 12536
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '300.c1', 'torsion': [3]}
  • id: 12538
    {'degree': 3, 'field': [-90, 0, 0, 1], 'lmfdb_label': '300.c1', 'torsion': [3]}
  • id: 12537
    {'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '300.c1', 'torsion': [2]}
  • id: 12539
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '300.c1', 'torsion': [2, 6]}
  • id: 12540
    {'degree': 6, 'field': [300, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '300.c1', 'torsion': [3, 3]}
  • id: 12541
    {'degree': 9, 'field': [-27, 0, 0, 57, 0, 0, -9, 0, 0, 1], 'lmfdb_label': '300.c1', 'torsion': [6]}
  • id: 12542
    {'degree': 12, 'field': [-3, 0, -14, 0, 3, 0, -4, 0, 11, 0, -6, 0, 1], 'lmfdb_label': '300.c1', 'torsion': [4]}
  • id: 12543
    {'degree': 18, 'field': [27, 0, 0, -99, 0, 0, 138, 0, 0, -99, 0, 0, 46, 0, 0, -11, 0, 0, 1], 'lmfdb_label': '300.c1', 'torsion': [2, 18]}
  • id: 12544
    {'degree': 18, 'field': [3468, 0, -9324, 0, 6696, 0, 1405, 0, -2481, 0, -102, 0, 295, 0, 42, 0, 3, 0, 1], 'lmfdb_label': '300.c1', 'torsion': [6, 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: 2744
    {'conductor': 300, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '300.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2745
    {'conductor': 300, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '300.c1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2746
    {'conductor': 300, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '300.c1', 'prime': 5, '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: 1667004
    {'adelic_gens': [[1, 1, 6, 17], [5, 14, 4, 15], [10, 3, 15, 1], [11, 17, 13, 12]], 'adelic_image': '18.48.0.?', 'conductor': 300, 'lmfdb_label': '300.c1', 'prime': 0}
  • id: 1209
    {'conductor': 300, 'elladic_image': '3.8.0.2', 'lmfdb_label': '300.c1', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 300.c does not appear in ec_padic