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ec_curvedata • Show schema
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{'Ciso': '450800l', 'Clabel': '450800l1', 'Cnumber': 1, 'abc_quality': 0.9415676101322996, 'absD': 456816587702272000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, 1, 0, 675792, 1006069588], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 450800, 'degree': 18579456, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6450011833067541211827570477', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [4533086375, 60669952], 'lmfdb_iso': '450800.l', 'lmfdb_label': '450800.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 35, 381], 'min_quad_twist_disc': 140, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '14.6.0.b.1', '56.12.0.n.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1536046523085870266997732192', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.17417997200210197191246888791', 'prec': 103}, 'szpiro_ratio': 4.223232576402367, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, 6, 0, -6, 0], 'aplist': [0, -2, 0, 0, -4, 0, 6, -6, -1, 10, 4, 2, 10, -4, -12, 6, -2, 0, 0, 8, -6, 8, 14, 14, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 450800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '450800.l', 'trace_hash': 1152585449189175657}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0050417483278071622824812890834', 'prec': 110}, 'conductor': 450800, 'gens': [[468, 37750, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.1536046523085870266997732192', 'prec': 100}], 'lmfdb_label': '450800.l2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12341122750227333817880010649', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0881014096226345597610339695977435498', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-782, 0, 1]], 'xcoord_integral_points': [-782, 468]}
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lmfdb_label 450800.l2 does not appear in ec_iwasawa
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lmfdb_label 450800.l2 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11125171
{'conductor': 450800, 'conductor_valuation': 4, 'discriminant_valuation': 26, 'j_denominator_valuation': 14, 'kodaira_symbol': -22, 'lmfdb_label': '450800.l2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 11125172
{'conductor': 450800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '450800.l2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 11125173
{'conductor': 450800, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '450800.l2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 11125174
{'conductor': 450800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '450800.l2', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4439231
{'adelic_gens': [[1, 2, 2, 5], [29, 4, 2, 9], [3, 4, 8, 11], [9, 50, 48, 7], [34, 1, 39, 0], [53, 4, 52, 5], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '56.12.0.?', 'conductor': 450800, 'lmfdb_label': '450800.l2', 'prime': 0}
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id: 1507661
{'conductor': 450800, 'elladic_image': '8.6.0.1', 'lmfdb_label': '450800.l2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 450800.l does not appear in ec_padic