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ec_curvedata • Show schema
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{'Ciso': '363090a', 'Clabel': '363090a1', 'Cnumber': 1, 'abc_quality': 0.8759478083439198, 'absD': 341107324942702500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 13832, 'ainvs': [1, 1, 0, -246838, -38030432], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 363090, 'degree': 8945664, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0796733639458273957544296426', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [41217358701007, 8452957500], 'lmfdb_iso': '363090.a', 'lmfdb_label': '363090.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5038, 110156], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.c.1', '1976.6.0.?', '3458.6.0.?', '13832.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62024075215434241692541508502', 'prec': 103}, 'szpiro_ratio': 3.8167100691968106, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, -1, 1, 0, -1, 1, 1, -6, -1, -1, 0, 1, 1, 0, -1, -1, -1], 'aplist': [-1, -1, -1, 0, -6, -1, 0, -1, -8, 0, -10, -10, 12, 0, 12, 0, 12, 10, 12, 0, 14, 4, -4, -4, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 363090, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '363090.a', 'trace_hash': 2037394703439236654}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.015617757233352088872981224883', 'prec': 107}, 'conductor': 363090, 'gens': [], 'heights': [], 'lmfdb_label': '363090.a1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.21727598833901474026233538910', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.86910395335605896104934155638581856619', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[-176, 88, 1]], 'xcoord_integral_points': [-176]}
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lmfdb_label 363090.a1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15094273
{'degree': 2, 'field': [-432, -1, 1], 'lmfdb_label': '363090.a1', 'torsion': [2, 2]}
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id: 15094274
{'degree': 4, 'field': [977, -18, 19, -2, 1], 'lmfdb_label': '363090.a1', 'torsion': [4]}
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id: 15094277
{'degree': 8, 'field': [-20242, 51565, -51268, -595, 301, -7, 7, -4, 1], 'lmfdb_label': '363090.a1', 'torsion': [6]}
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id: 15094275
{'degree': 8, 'field': [11222500, 0, 459050, 0, 1529, 0, 8, 0, 1], 'lmfdb_label': '363090.a1', 'torsion': [2, 4]}
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id: 15094276
{'degree': 8, 'field': [289053144, -65721112, 4250816, -567564, 84468, 222, -435, -2, 1], 'lmfdb_label': '363090.a1', 'torsion': [2, 4]}
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id: 15094278
{'degree': 16, 'field': [518503762979001, -159111829986984, 9828505190760, -1330864219776, 10792720564282, -3981795104, 70950999716, -5869504032, 652617435, -53161360, -4024588, -116032, 446, -952, 108, 0, 1], 'lmfdb_label': '363090.a1', 'torsion': [8]}
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id: 15094279
{'degree': 16, 'field': [1220962229258673002500, 0, -22583684886575493401, 0, 182393081360203210, 0, -843400601389143, 0, 2441179190667, 0, -4522241115, 0, 5232115, 0, -3458, 0, 1], 'lmfdb_label': '363090.a1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 8980780
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.a1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 8980781
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '363090.a1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 8980782
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '363090.a1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 8980783
{'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '363090.a1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 8980784
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '363090.a1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8980785
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.a1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3925378
{'adelic_gens': [[9466, 1, 2183, 0], [1, 2, 2, 5], [1, 4, 0, 1], [7908, 1, 11855, 0], [12770, 1, 7447, 0], [1, 0, 4, 1], [6917, 4, 2, 9], [3, 4, 8, 11], [13829, 4, 13828, 5], [12105, 1730, 1728, 12103]], 'adelic_image': '13832.12.0.?', 'conductor': 363090, 'lmfdb_label': '363090.a1', 'prime': 0}
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id: 1249469
{'conductor': 363090, 'elladic_image': '2.3.0.1', 'lmfdb_label': '363090.a1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 363090.a does not appear in ec_padic