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ec_curvedata • Show schema
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{'Ciso': '418968bg', 'Clabel': '418968bg2', 'Cnumber': 2, 'abc_quality': 1.1545407663950151, 'absD': 361030286116482048, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 132, 'ainvs': [0, 0, 0, -357075, -76871106], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 418968, 'degree': 4325376, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1158135685863929370862839140', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [1687500, 121], 'lmfdb_iso': '418968.bg', 'lmfdb_label': '418968.bg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -675, 6318], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '44.6.0.e.1', '132.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.4976238342301411664999684543', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.85351540634588526804455319748', 'prec': 107}, 'szpiro_ratio': 3.860068292312917, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, -6, 0, 0, 0, -6, 0, 2, 0], 'aplist': [0, 0, 0, 2, 1, -6, -6, 2, 0, -2, -4, -2, 10, 6, 4, 4, -4, 2, 8, -12, -2, -14, -4, 0, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 418968, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '418968.bg', 'trace_hash': 966538597082324421}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.014528731066633074312335959667', 'prec': 107}, 'conductor': 418968, 'gens': [[30015, 5199012, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.4976238342301411664999684543', 'prec': 100}], 'lmfdb_label': '418968.bg1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.19618655019466398464999781226', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.0589864328872694279731591292041885438', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-414, 0, 1]], 'xcoord_integral_points': [-414, 30015]}
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lmfdb_label 418968.bg1 does not appear in ec_iwasawa
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lmfdb_label 418968.bg1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 10353667
{'conductor': 418968, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '418968.bg1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 10353668
{'conductor': 418968, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '418968.bg1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 10353669
{'conductor': 418968, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '418968.bg1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 10353670
{'conductor': 418968, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '418968.bg1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 4254676
{'adelic_gens': [[1, 2, 2, 5], [92, 1, 43, 0], [3, 4, 8, 11], [100, 37, 33, 100], [1, 4, 0, 1], [13, 4, 26, 9], [1, 0, 4, 1], [129, 4, 128, 5]], 'adelic_image': '132.12.0.?', 'conductor': 418968, 'lmfdb_label': '418968.bg1', 'prime': 0}
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id: 1415163
{'conductor': 418968, 'elladic_image': '2.3.0.1', 'lmfdb_label': '418968.bg1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 418968.bg does not appear in ec_padic