Elliptic curve data - 363090.o1

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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': '363090o', 'Clabel': '363090o2', 'Cnumber': 2, 'abc_quality': 1.043656345963944, 'absD': 21802105317037500000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2280, 'ainvs': [1, 1, 0, -21977981148, 1254084009056208], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 363090, 'degree': 709632000, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3985950639081102397969144810', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [9979272034751434818294873579961, 185314837500000000000], 'lmfdb_iso': '363090.o', 'lmfdb_label': '363090.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -448530228, -3656285676494], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.a.1', '380.6.0.?', '2280.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.004276622332403541873979241', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.4256399893804535872442381093', 'prec': 100}, 'szpiro_ratio': 6.487337124210033, '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, -1, 1, 0, -1, 1, 1, 0, -1, 1, 0, 1, 1, -4, -1, -1, -1], 'aplist': [-1, -1, -1, 0, 0, 1, -4, -1, -8, 6, 6, -6, -8, 4, -12, -10, -6, -10, 12, -12, -10, 14, 14, -4, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 363090, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '363090.o', 'trace_hash': 1194752296217532612}
• 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': '0.00015115721137567107336117381027', 'prec': 113}, 'conductor': 363090, 'gens': [[46412807, 56183247625, 22]], 'heights': [{'__RealLiteral__': 0, 'data': '15.004276622332403541873979241', 'prec': 100}], 'lmfdb_label': '363090.o1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.048762532922179738689969620336', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9265861310799025486482365775512297292', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[342331, -342331, 2]], 'xcoord_integral_points': []}
• lmfdb_label 363090.o1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15094702
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '363090.o1', 'torsion': [2, 2]}
  • id: 15094703
    {'degree': 4, 'field': [4704, 0, 14, 0, 1], 'lmfdb_label': '363090.o1', 'torsion': [4]}
  • id: 15094706
    {'degree': 8, 'field': [-399880, -47723, 45500, 4445, -2219, -7, 7, -4, 1], 'lmfdb_label': '363090.o1', 'torsion': [6]}
  • id: 15094705
    {'degree': 8, 'field': [2944656, 0, 14568, 0, 6913, 0, 148, 0, 1], 'lmfdb_label': '363090.o1', 'torsion': [2, 4]}
  • id: 15094704
    {'degree': 8, 'field': [371178756, 0, -27207648, 0, -35490, 0, -312, 0, 1], 'lmfdb_label': '363090.o1', 'torsion': [2, 4]}
  • id: 15094708
    {'degree': 16, 'field': [38649262570, 713657704, 3193790925, -7278699456, 2313442068, 1550219034, -448545293, -58596128, 14803629, -63582, -27405, 22680, -4417, 266, -18, -8, 1], 'lmfdb_label': '363090.o1', 'torsion': [2, 6]}
  • id: 15094707
    {'degree': 16, 'field': [1604590159885596, -1461062336900400, 557895906746568, -85461526668960, 10993980378240, -2515605795000, 448958815668, -42040308960, 3540919629, -203332680, -4217208, 629280, 82150, -4560, -308, 0, 1], 'lmfdb_label': '363090.o1', 'torsion': [8]}
• 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: 8981014
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '363090.o1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8981015
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '363090.o1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8981016
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '363090.o1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8981017
    {'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '363090.o1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8981018
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.o1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8981019
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.o1', 'prime': 19, '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: 3925865
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2277, 4, 2276, 5], [2, 1, 1139, 0], [457, 4, 914, 9], [1522, 1, 1519, 0], [1921, 4, 1562, 9], [1996, 289, 1425, 856]], 'adelic_image': '2280.12.0.?', 'conductor': 363090, 'lmfdb_label': '363090.o1', 'prime': 0}
  • id: 1249927
    {'conductor': 363090, 'elladic_image': '2.3.0.1', 'lmfdb_label': '363090.o1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 363090.o does not appear in ec_padic