Elliptic curve data - 62400.gs2

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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': '62400ci', 'Clabel': '62400ci1', 'Cnumber': 1, 'abc_quality': 1.0059987658491611, 'absD': 48125390625000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -43408, 11099438], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 62400, 'degree': 442368, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8852112881660871670904413426', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 174, 'isogeny_degrees': [1, 2], 'jinv': [-9045718037056, 48125390625], 'lmfdb_iso': '62400.gs', 'lmfdb_label': '62400.gs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -6945, -708975], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '52.12.0.d.1', '60.12.0-4.a.1.1', '104.24.0.?', '780.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73391874166906432508144561526', 'prec': 103}, 'szpiro_ratio': 4.1635020842417, '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, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, -1, 0, 0, 0, 2, 0, 2, 0], 'aplist': [0, 1, 0, 2, 2, -1, 2, 2, -8, 6, 2, 2, -2, 0, 6, -10, -14, 10, -2, 6, -2, 12, -6, -18, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 62400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '62400.gs', 'trace_hash': 566837938463669150}
• 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': '0.023042324088794907376083217868', 'prec': 107}, 'conductor': 62400, 'gens': [], 'heights': [], 'lmfdb_label': '62400.gs2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.30962016351270768257094613846', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7154419621524921908513536615698555756', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-287, 0, 1]], 'xcoord_integral_points': [-287]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '13': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '62400.gs2'}
• ec_torsion_growth •

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

  
  
  • id: 2986264
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '62400.gs2', 'torsion': [2, 2]}
  • id: 2986265
    {'degree': 4, 'field': [-100, 0, -30, 0, 1], 'lmfdb_label': '62400.gs2', 'torsion': [4]}
  • id: 2986268
    {'degree': 8, 'field': [-367500, 0, 53000, 0, -2100, 0, 0, 0, 1], 'lmfdb_label': '62400.gs2', 'torsion': [6]}
  • id: 2986267
    {'degree': 8, 'field': [625, 0, 0, 0, 275, 0, 0, 0, 1], 'lmfdb_label': '62400.gs2', 'torsion': [2, 4]}
  • id: 2986266
    {'degree': 8, 'field': [2704, 0, -208, 0, -27, 0, -4, 0, 1], 'lmfdb_label': '62400.gs2', 'torsion': [2, 4]}
  • id: 2986270
    {'degree': 16, 'field': [-2470959, 681408, -1186512, -2264496, -2604422, 264472, 1101168, 250848, -91149, -54392, -10048, 3744, 1762, -104, -80, 0, 1], 'lmfdb_label': '62400.gs2', 'torsion': [8]}
  • id: 2986269
    {'degree': 16, 'field': [256, 0, 0, 0, -1232, 0, 0, 0, 1953, 0, 0, 0, -77, 0, 0, 0, 1], 'lmfdb_label': '62400.gs2', 'torsion': [4, 4]}
  • id: 2986271
    {'degree': 16, 'field': [733055625, 0, 0, 0, 34399900, 0, 0, 0, 270750, 0, 0, 0, -1140, 0, 0, 0, 1], 'lmfdb_label': '62400.gs2', 'torsion': [2, 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: 1504601
    {'conductor': 62400, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '62400.gs2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1504602
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '62400.gs2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 1504603
    {'conductor': 62400, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '62400.gs2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1504604
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '62400.gs2', 'prime': 13, '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: 2077674
    {'adelic_gens': [[3, 8, 10, 27], [1, 0, 8, 1], [1, 8, 0, 1], [389, 620, 975, 1559], [623, 0, 0, 1559], [521, 320, 730, 641], [1553, 8, 1552, 9], [5, 8, 48, 77], [779, 620, 310, 1239], [1081, 1250, 0, 1]], 'adelic_image': '1560.48.0.?', 'conductor': 62400, 'lmfdb_label': '62400.gs2', 'prime': 0}
  • id: 262727
    {'conductor': 62400, 'elladic_image': '4.6.0.5', 'lmfdb_label': '62400.gs2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 62400.gs does not appear in ec_padic