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ec_curvedata • Show schema
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{'Ciso': '450800bv', 'Clabel': '450800bv1', 'Cnumber': 1, 'abc_quality': 0.8146080092816349, 'absD': 11880101900800000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 3864, 'ainvs': [0, 1, 0, 332792, 148569588], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 450800, 'degree': 9953280, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3435396291728606624928433978', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 47, 'isogeny_degrees': [1, 3], 'jinv': [21653735, 63112], 'lmfdb_iso': '450800.bv', 'lmfdb_label': '450800.bv2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 17, 61], 'min_quad_twist_disc': 140, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '84.8.0.?', '552.8.0.?', '1288.2.0.?', '3864.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6140394822421424295489387184', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39552123420414154921090465087', 'prec': 107}, 'szpiro_ratio': 3.9293069994995955, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, 0, 0, 0, 0, 1, 0, 6, 0, 1, 0, 0, 0, 3, 0, -4, 0], 'aplist': [0, -2, 0, 0, 6, 1, 3, -4, 1, -6, 8, 11, 0, -8, 3, 9, 0, -8, -8, 6, -2, 1, -9, -3, 1], 'class_deg': 3, 'class_size': 2, 'conductor': 450800, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '450800.bv', 'trace_hash': 1642734991466736895}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0092135573159211277970281901110', 'prec': 110}, 'conductor': 450800, 'gens': [[-236, 7546, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6140394822421424295489387184', 'prec': 100}], 'lmfdb_label': '450800.bv2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15900862576719145903549921115', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6504772123600599861517807549085966038', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': [-236]}
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lmfdb_label 450800.bv2 does not appear in ec_iwasawa
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lmfdb_label 450800.bv2 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11125367
{'conductor': 450800, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '450800.bv2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 11125368
{'conductor': 450800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '450800.bv2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 11125369
{'conductor': 450800, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '450800.bv2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 11125370
{'conductor': 450800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '450800.bv2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 4439013
{'adelic_gens': [[3861, 3862, 3854, 3857], [4, 3, 9, 7], [2857, 6, 843, 19], [2094, 1777, 2737, 1611], [1103, 3858, 3309, 3845], [1933, 6, 1935, 19], [3859, 6, 3858, 7], [2897, 3858, 963, 3845], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '3864.16.0.?', 'conductor': 450800, 'lmfdb_label': '450800.bv2', 'prime': 0}
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id: 1507522
{'conductor': 450800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '450800.bv2', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 450800.bv does not appear in ec_padic