Elliptic curve data - 25350.n1

Formats: - HTML - YAML - JSON - 2025-10-26T13:45:37.061804

• 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': '25350o', 'Clabel': '25350o2', 'Cnumber': 2, 'abc_quality': 0.9133559396768115, 'absD': 258102298441406250, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 520, 'ainvs': [1, 1, 0, -276825, 50335875], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 25350, 'degree': 430080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0744424130134040119414294256', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [248858189, 27378], 'lmfdb_iso': '25350.n', 'lmfdb_label': '25350.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -66, 178], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '104.6.0.?', '260.6.0.?', '520.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 845], [3, 4, 8450], [5, 14, 1014], [13, 98, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41511070004293963703588379510', 'prec': 107}, 'szpiro_ratio': 4.852508860283992, '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, -1, -1, 1, 0, 1, 0, -1, 1, 0, 6, -1, 0, 0, 0, 1, 0, -1, -6, 0], 'aplist': [-1, -1, 0, 0, 6, 0, 0, -6, 6, 2, -4, -10, 6, 8, -8, -6, -10, -6, -4, 8, -6, 16, -4, 10, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 25350, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '25350.n', 'trace_hash': 1615398980881328517}
• 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': '0.015782006357882339120224670487', 'prec': 107}, 'conductor': 25350, 'gens': [], 'heights': [], 'lmfdb_label': '25350.n1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.30115072800512574211312148452', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2046029120205029684524859380620691942', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[1515, -1515, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [0, 0], '5': 'a', '13': 'a'}, 'iwp0': 3, 'lmfdb_label': '25350.n1'}
• ec_torsion_growth •

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

  
  
  • id: 1276125
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '25350.n1', 'torsion': [2, 2]}
  • id: 1276126
    {'degree': 4, 'field': [10, 0, -25, 0, 1], 'lmfdb_label': '25350.n1', 'torsion': [4]}
  • id: 1276129
    {'degree': 8, 'field': [-4664, 2669, -2888, 437, -215, -7, 7, -4, 1], 'lmfdb_label': '25350.n1', 'torsion': [6]}
  • id: 1276128
    {'degree': 8, 'field': [196, 0, -444, 0, 181, 0, -24, 0, 1], 'lmfdb_label': '25350.n1', 'torsion': [2, 4]}
  • id: 1276127
    {'degree': 8, 'field': [351, -1092, 1286, -456, 399, -208, 74, -4, 1], 'lmfdb_label': '25350.n1', 'torsion': [2, 4]}
  • id: 1276130
    {'degree': 16, 'field': [-213264, 721440, -1510560, 858624, 2852572, -1751320, -870404, 570696, 88344, -55616, -9324, 1328, 1329, -78, -41, -2, 1], 'lmfdb_label': '25350.n1', 'torsion': [8]}
  • id: 1276131
    {'degree': 16, 'field': [1392636726, 1297972728, -1163941155, -255074040, 95799600, 36092394, -8907093, -2290080, 103585, 289450, -35813, -10664, 655, 490, -50, -8, 1], 'lmfdb_label': '25350.n1', '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: 582611
    {'conductor': 25350, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '25350.n1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 582612
    {'conductor': 25350, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '25350.n1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 582613
    {'conductor': 25350, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '25350.n1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 582614
    {'conductor': 25350, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '25350.n1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1833377
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [41, 4, 82, 9], [1, 4, 0, 1], [457, 66, 64, 455], [2, 1, 259, 0], [517, 4, 516, 5], [108, 1, 103, 0]], 'adelic_image': '520.12.0.?', 'conductor': 25350, 'lmfdb_label': '25350.n1', 'prime': 0}
  • id: 115681
    {'conductor': 25350, 'elladic_image': '2.3.0.1', 'lmfdb_label': '25350.n1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 25350.n does not appear in ec_padic