-
ec_curvedata • Show schema
Hide schema
{'Ciso': '14a', 'Clabel': '14a3', 'Cnumber': 3, 'abc_quality': 1.0293250379726038, 'absD': 1835008, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 0, 1, -171, -874], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 14, 'degree': 3, 'elladic_images': ['8.6.0.1', '9.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.066527390143111802872166294108', 'prec': 107}, 'faltings_index': 4, 'faltings_ratio': 9, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-548347731625, 1835008], 'lmfdb_iso': '14.a', 'lmfdb_label': '14.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -171, -874], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '8.6.0.c.1', '9.24.0-9.a.1.1', '14.6.0.b.1', '18.72.0-18.a.1.2', '24.48.0-24.bw.1.11', '42.48.0-42.b.1.3', '56.12.0.n.1', '63.72.0-63.d.1.3', '72.144.1.?', '126.432.7.?', '168.96.1.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.066527390143111802872166294108', 'prec': 107}, 'szpiro_ratio': 10.244544953238103, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, -1, -2, 1, 0, 2, 1, -1, 1, 0, 0, -2, -4, -1, 0, 1, 6, -1, 2, 0], 'aplist': [-1, -2, 0, 1, 0, -4, 6, 2, 0, -6, -4, 2, 6, 8, -12, 6, -6, 8, -4, 0, 2, 8, -6, -6, -10], 'class_deg': 18, 'class_size': 6, 'conductor': 14, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '14.a', 'trace_hash': 1459918945821948014}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.87541713519400539549928498962', 'prec': 103}, 'conductor': 14, 'gens': [], 'heights': [], 'lmfdb_label': '14.a2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.66044731868896107805652389224', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.33022365934448053902826194612222809986', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [[15, -8, 1]], 'xcoord_integral_points': [15]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': [0, 0], '3': [0, 2], '7': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '14.a2'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 56
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '14.a2', 'torsion': [6]}
-
id: 55
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '14.a2', 'torsion': [2, 2]}
-
id: 57
{'degree': 3, 'field': [-7, 0, 0, 1], 'lmfdb_label': '14.a2', 'torsion': [6]}
-
id: 58
{'degree': 4, 'field': [1, -2, 1, -2, 1], 'lmfdb_label': '14.a2', 'torsion': [4]}
-
id: 59
{'degree': 4, 'field': [4, -2, -1, -1, 1], 'lmfdb_label': '14.a2', 'torsion': [2, 6]}
-
id: 62
{'degree': 6, 'field': [7, 0, 0, -4, 0, 0, 1], 'lmfdb_label': '14.a2', 'torsion': [18]}
-
id: 63
{'degree': 6, 'field': [7, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '14.a2', 'torsion': [2, 6]}
-
id: 60
{'degree': 6, 'field': [64, -24, -15, 7, 6, -3, 1], 'lmfdb_label': '14.a2', 'torsion': [3, 6]}
-
id: 61
{'degree': 6, 'field': [343, 0, 0, -28, 0, 0, 1], 'lmfdb_label': '14.a2', 'torsion': [18]}
-
id: 66
{'degree': 8, 'field': [1, -2, 3, 2, -4, 2, 3, -2, 1], 'lmfdb_label': '14.a2', 'torsion': [12]}
-
id: 64
{'degree': 8, 'field': [2, -2, 3, -4, 6, -2, 6, -2, 1], 'lmfdb_label': '14.a2', 'torsion': [2, 4]}
-
id: 65
{'degree': 8, 'field': [4, 0, -6, 0, 1, 0, 4, 0, 1], 'lmfdb_label': '14.a2', 'torsion': [2, 4]}
-
id: 69
{'degree': 12, 'field': [7, 0, 0, -14, 0, 0, 32, 0, 0, -10, 0, 0, 1], 'lmfdb_label': '14.a2', 'torsion': [2, 18]}
-
id: 67
{'degree': 12, 'field': [64, -48, -84, 230, -15, -168, 155, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '14.a2', 'torsion': [6, 6]}
-
id: 70
{'degree': 12, 'field': [92, 2976, -3954, 1444, 2247, -1482, 307, 198, -84, 2, 15, -6, 1], 'lmfdb_label': '14.a2', 'torsion': [12]}
-
id: 68
{'degree': 12, 'field': [343, 0, 0, -490, 0, 0, 224, 0, 0, -14, 0, 0, 1], 'lmfdb_label': '14.a2', 'torsion': [2, 18]}
-
id: 71
{'degree': 16, 'field': [-1, 4, 2, -8, -11, 8, 34, 28, -16, -28, -34, 8, 11, 8, 2, -4, 1], 'lmfdb_label': '14.a2', 'torsion': [8]}
-
id: 72
{'degree': 16, 'field': [4, -4, -2, 10, -11, 8, 18, -28, 16, 28, -34, 8, 26, -8, -2, -2, 1], 'lmfdb_label': '14.a2', 'torsion': [2, 12]}
-
id: 73
{'degree': 16, 'field': [16, 0, 24, 0, 32, 0, 38, 0, 21, 0, -16, 0, 15, 0, -4, 0, 1], 'lmfdb_label': '14.a2', 'torsion': [2, 12]}
-
id: 74
{'degree': 18, 'field': [2512, -15720, 47184, -95718, 150321, -188391, 198099, -175122, 133758, -87574, 50088, -24600, 10548, -3822, 1194, -300, 63, -9, 1], 'lmfdb_label': '14.a2', 'torsion': [3, 18]}
-
ec_localdata • Show schema
Hide schema
-
id: 7
{'conductor': 14, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '14.a2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 8
{'conductor': 14, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '14.a2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 1665892
{'adelic_gens': [[1, 36, 0, 1], [253, 36, 10, 361], [1, 0, 36, 1], [397, 36, 88, 29], [127, 36, 262, 361], [469, 36, 468, 37], [19, 36, 216, 91], [292, 9, 223, 178], [1, 18, 14, 253]], 'adelic_image': '504.864.21.?', 'conductor': 14, 'lmfdb_label': '14.a2', 'prime': 0}
-
id: 5
{'conductor': 14, 'elladic_image': '8.6.0.1', 'lmfdb_label': '14.a2', 'modell_image': '2B', 'prime': 2}
-
id: 6
{'conductor': 14, 'elladic_image': '9.24.0.3', 'lmfdb_label': '14.a2', 'modell_image': '3B.1.2', 'prime': 3}
-
lmfdb_iso 14.a does not appear in ec_padic