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ec_curvedata • Show schema
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{'Ciso': '363090f', 'Clabel': '363090f2', 'Cnumber': 2, 'abc_quality': 0.9159342241728278, 'absD': 163456608735802636800, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 41496, 'ainvs': [1, 1, 0, -812788, 676358992], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 363090, 'degree': 13716864, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5658895203128002200958221883', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3], 'jinv': [-210220950826201, 578658163200], 'lmfdb_iso': '363090.f', 'lmfdb_label': '363090.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -16588, -1974262], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.2', '5928.8.0.?', '41496.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94429772943337246584136156876', 'prec': 103}, 'szpiro_ratio': 4.232689990957598, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, -1, 1, 0, -1, 1, 1, -3, -1, -1, 0, 1, 1, 0, -1, -1, -1], 'aplist': [-1, -1, -1, 0, -3, -1, 0, -1, -9, 6, 4, 2, -6, -4, 6, 6, 0, -8, 8, 9, 4, -7, 9, -12, -11], 'class_deg': 3, 'class_size': 2, 'conductor': 363090, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '363090.f', 'trace_hash': 1386924855901734903}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0059060440295996832745775554194', 'prec': 110}, 'conductor': 363090, 'gens': [], 'heights': [], 'lmfdb_label': '363090.f1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16014675247999213093398378581', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.32029350495998426186796757162590297900', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 363090.f1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15094389
{'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '363090.f1', 'torsion': [3]}
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id: 15094390
{'degree': 3, 'field': [351, 117, -1, 1], 'lmfdb_label': '363090.f1', 'torsion': [2]}
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id: 15094393
{'degree': 6, 'field': [-2100, 0, 49, 0, -14, 0, 1], 'lmfdb_label': '363090.f1', 'torsion': [6]}
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id: 15094392
{'degree': 6, 'field': [14175, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '363090.f1', 'torsion': [3]}
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id: 15094391
{'degree': 6, 'field': [1815450, -726180, 75019, 0, -98, 0, 1], 'lmfdb_label': '363090.f1', 'torsion': [2, 2]}
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id: 15094395
{'degree': 12, 'field': [274576, 3144, 7896, -21050, 7965, 3024, -909, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '363090.f1', 'torsion': [3, 3]}
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id: 15094396
{'degree': 12, 'field': [3193972209, 50958450, -46429875, -9109026, 4688442, -172470, 76741, -15822, 3114, 550, -99, -6, 1], 'lmfdb_label': '363090.f1', 'torsion': [2, 6]}
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id: 15094394
{'degree': 12, 'field': [23901269400, -10389092400, 861931125, 29795580, 50857407, -10726308, 768537, -194568, 23425, -844, -9, -4, 1], 'lmfdb_label': '363090.f1', 'torsion': [4]}
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id: 15094398
{'degree': 18, 'field': [7785563410800, 0, 11880883186200, 0, 5521694133375, 0, 638313766146, 0, -1044446319, 0, -79241085, 0, -1303155, 0, 6615, 0, 126, 0, 1], 'lmfdb_label': '363090.f1', 'torsion': [6]}
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id: 15094397
{'degree': 18, 'field': [30570790689336380400, 3185811274151633400, -140525950851522000, 80786833080784410, 17126059081874355, 44501225996805, -27569447374637, 17586982775658, 968049717246, -41501245034, 9541596924, 1081746972, -21905724, -516042, 347514, 2056, -1095, -9, 1], 'lmfdb_label': '363090.f1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 8980858
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '363090.f1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8980859
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.f1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8980860
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.f1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 8980861
{'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '363090.f1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 8980862
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '363090.f1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8980863
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '363090.f1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3925609
{'adelic_gens': [[10375, 35574, 7413, 23731], [4, 3, 9, 7], [41491, 6, 41490, 7], [6385, 35574, 36939, 23731], [39313, 35574, 11235, 23731], [11855, 0, 0, 41495], [1, 6, 0, 1], [10130, 13587, 5929, 15562], [3, 4, 8, 11], [20749, 35574, 38535, 23731], [1, 0, 6, 1]], 'adelic_image': '41496.16.0.?', 'conductor': 363090, 'lmfdb_label': '363090.f1', 'prime': 0}
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id: 1249684
{'conductor': 363090, 'elladic_image': '3.4.0.1', 'lmfdb_label': '363090.f1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 363090.f does not appear in ec_padic