-
ec_curvedata • Show schema
Hide schema
{'Ciso': '660c', 'Clabel': '660c3', 'Cnumber': 3, 'abc_quality': 1.0221529257865163, 'absD': 2994750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [0, 1, 0, 319, -1356], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 660, 'degree': 432, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.50603420656341475321584577663', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [223673040896, 187171875], 'lmfdb_iso': '660.c', 'lmfdb_label': '660.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 319, -1356], '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', '22.6.0.a.1', '60.48.0-60.s.1.15', '66.48.0-66.a.1.2', '660.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8018991858320863781633884142', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27498514637676631674343506948', 'prec': 103}, 'szpiro_ratio': 4.452398654459506, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 1, 0, -1, 0, -4, 0, 1, 0, -1, 0, -4, 0, -1, 0, -6, 0, 2, 0], 'aplist': [0, 1, -1, -4, -1, -4, -6, 2, 0, 0, -4, -10, 0, -4, 12, 6, 12, -10, -4, 0, 8, -10, -6, -6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 660, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '660.c', 'trace_hash': 1722764242529588055}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.36346640284124552023440980882', 'prec': 103}, 'conductor': 660, 'gens': [[16, 90, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8018991858320863781633884142', 'prec': 100}], 'lmfdb_label': '660.c4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.78771809748831739579653906968', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2071066960177165570564541751038143241', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[4, 0, 1]], 'xcoord_integral_points': [4, 16]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': [2, 1], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [3, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '660.c4'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 30530
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '660.c4', 'torsion': [6]}
-
id: 30529
{'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '660.c4', 'torsion': [2, 2]}
-
id: 30531
{'degree': 3, 'field': [-12, 0, 0, 1], 'lmfdb_label': '660.c4', 'torsion': [6]}
-
id: 30532
{'degree': 4, 'field': [-11, 0, -14, 0, 1], 'lmfdb_label': '660.c4', 'torsion': [4]}
-
id: 30533
{'degree': 4, 'field': [9, -3, -2, -1, 1], 'lmfdb_label': '660.c4', 'torsion': [2, 6]}
-
id: 30534
{'degree': 6, 'field': [12, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '660.c4', 'torsion': [3, 6]}
-
id: 30535
{'degree': 6, 'field': [267, -207, 0, 5, 12, -3, 1], 'lmfdb_label': '660.c4', 'torsion': [2, 6]}
-
id: 30538
{'degree': 8, 'field': [21, -78, 82, -10, 11, -10, 8, -4, 1], 'lmfdb_label': '660.c4', 'torsion': [12]}
-
id: 30536
{'degree': 8, 'field': [225, 0, -98, 0, 167, 0, 14, 0, 1], 'lmfdb_label': '660.c4', 'torsion': [2, 4]}
-
id: 30537
{'degree': 8, 'field': [1749, -2112, 2242, -244, 83, 44, -10, -4, 1], 'lmfdb_label': '660.c4', 'torsion': [2, 4]}
-
id: 30539
{'degree': 12, 'field': [993, -3690, 3933, -1050, 2070, -2250, 1465, -726, 330, -110, 33, -6, 1], 'lmfdb_label': '660.c4', 'torsion': [6, 6]}
-
id: 30540
{'degree': 12, 'field': [104976, 0, 0, -34992, 0, 0, 2064, 0, 0, -108, 0, 0, 1], 'lmfdb_label': '660.c4', 'torsion': [12]}
-
id: 30543
{'degree': 16, 'field': [1296, -4320, 11808, -12672, 10896, 10608, 1792, 80, 780, -2312, -64, 216, 212, -56, 0, -4, 1], 'lmfdb_label': '660.c4', 'torsion': [2, 12]}
-
id: 30542
{'degree': 16, 'field': [50625, 27000, 26100, -47640, -15986, -18344, 22112, 2132, 3219, -4168, 160, -116, 270, -32, -4, -4, 1], 'lmfdb_label': '660.c4', 'torsion': [2, 12]}
-
id: 30541
{'degree': 16, 'field': [1764601, -6475996, 2300940, -9432716, 7260620, 988020, -3398108, 1500596, -46818, -204532, 91828, -18468, 1148, 220, -36, -4, 1], 'lmfdb_label': '660.c4', 'torsion': [8]}
-
id: 30544
{'degree': 18, 'field': [19683, 0, 0, -120285, 0, 0, 220482, 0, 0, -54945, 0, 0, 8166, 0, 0, -165, 0, 0, 1], 'lmfdb_label': '660.c4', 'torsion': [18]}
-
ec_localdata • Show schema
Hide schema
-
id: 8055
{'conductor': 660, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '660.c4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
-
id: 8056
{'conductor': 660, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '660.c4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
-
id: 8057
{'conductor': 660, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '660.c4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 8058
{'conductor': 660, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '660.c4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 1668903
{'adelic_gens': [[279, 58, 626, 401], [397, 12, 402, 73], [1, 0, 12, 1], [649, 12, 648, 13], [1, 6, 6, 37], [130, 3, 573, 652], [1, 12, 0, 1], [221, 12, 226, 73], [11, 2, 610, 651]], 'adelic_image': '660.96.1.?', 'conductor': 660, 'lmfdb_label': '660.c4', 'prime': 0}
-
id: 3008
{'conductor': 660, 'elladic_image': '2.3.0.1', 'lmfdb_label': '660.c4', 'modell_image': '2B', 'prime': 2}
-
id: 3009
{'conductor': 660, 'elladic_image': '3.8.0.2', 'lmfdb_label': '660.c4', 'modell_image': '3B.1.2', 'prime': 3}
-
ec_padic • Show schema
Hide schema
-
id: 11840
{'lmfdb_iso': '660.c', 'p': 7, 'prec': 20, 'unit': 2526842678384662, 'val': 1}
-
id: 11843
{'lmfdb_iso': '660.c', 'p': 13, 'prec': 20, 'unit': 1164037219870886247210, 'val': 1}
-
id: 11845
{'lmfdb_iso': '660.c', 'p': 17, 'prec': 20, 'unit': 29162852112931729025502, 'val': 1}
-
id: 11836
{'lmfdb_iso': '660.c', 'p': 19, 'prec': 20, 'unit': 10568906198003135744213, 'val': 1}
-
id: 11852
{'lmfdb_iso': '660.c', 'p': 31, 'prec': 20, 'unit': 20537771832391773831869955078, 'val': 1}
-
id: 11839
{'lmfdb_iso': '660.c', 'p': 37, 'prec': 20, 'unit': 312212779280823134313978299154, 'val': 1}
-
id: 11842
{'lmfdb_iso': '660.c', 'p': 43, 'prec': 20, 'unit': 9643224600919696393126521697555, 'val': 1}
-
id: 11850
{'lmfdb_iso': '660.c', 'p': 47, 'prec': 20, 'unit': 12648366943969200387513148912094, 'val': 1}
-
id: 11847
{'lmfdb_iso': '660.c', 'p': 53, 'prec': 20, 'unit': 236817175268111319536253103414171, 'val': 1}
-
id: 11848
{'lmfdb_iso': '660.c', 'p': 59, 'prec': 20, 'unit': 50054529300640698457741213484721, 'val': 2}
-
id: 11851
{'lmfdb_iso': '660.c', 'p': 61, 'prec': 20, 'unit': 1498157946731844641569113575649499, 'val': 1}
-
id: 11838
{'lmfdb_iso': '660.c', 'p': 67, 'prec': 20, 'unit': 53127128692000795379424761034592, 'val': 1}
-
id: 11841
{'lmfdb_iso': '660.c', 'p': 73, 'prec': 20, 'unit': 42899576542792965368308871569817068, 'val': 1}
-
id: 11844
{'lmfdb_iso': '660.c', 'p': 79, 'prec': 20, 'unit': 507589099581641011287138758624515754, 'val': 1}
-
id: 11846
{'lmfdb_iso': '660.c', 'p': 83, 'prec': 20, 'unit': 2683967674911700693847927794479380193, 'val': 1}
-
id: 11849
{'lmfdb_iso': '660.c', 'p': 89, 'prec': 20, 'unit': 2067353045051273257801314603594627809, 'val': 1}
-
id: 11837
{'lmfdb_iso': '660.c', 'p': 97, 'prec': 20, 'unit': 50564808393050273743312210451986547415, 'val': 1}