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ec_curvedata • Show schema
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{'Ciso': '418950lk', 'Clabel': '418950lk1', 'Cnumber': 1, 'abc_quality': 1.0416466729594884, 'absD': 91737984240000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 120, 'ainvs': [1, -1, 1, 98995, -8309003], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 418950, 'degree': 5529600, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9424041420542381178014993136', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 296, 'isogeny_degrees': [1, 2], 'jinv': [2161700757, 1848320], 'lmfdb_iso': '418950.lk', 'lmfdb_label': '418950.lk2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 81, 173], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.d.1', '30.6.0.a.1', '40.6.0.e.1', '120.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.80975073754933243736680928320', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10992296085749614490036803396', 'prec': 107}, 'szpiro_ratio': 3.562787217982191, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, -2, 0, -4, 0, 0, 1, 6, 0, -1, 0], 'aplist': [1, 0, 0, 0, -2, -4, 6, -1, -8, -6, 8, 8, 12, 0, 0, -10, 6, 6, -12, 12, -10, -8, -8, 8, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 418950, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '418950.lk', 'trace_hash': 305219983432757694}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.020551768484382049044512548546', 'prec': 107}, 'conductor': 418950, 'gens': [[139, 2780, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.80975073754933243736680928320', 'prec': 103}], 'lmfdb_label': '418950.lk2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18689572177917172117018556736', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.107115884439930787639818301636827008', 'prec': 130}, 'tamagawa_product': 320, 'torsion_generators': [[79, -40, 1]], 'xcoord_integral_points': [79, 139, 373, 479, 2039]}
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lmfdb_label 418950.lk2 does not appear in ec_iwasawa
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lmfdb_label 418950.lk2 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 10352101
{'conductor': 418950, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '418950.lk2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
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id: 10352102
{'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '418950.lk2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 10352103
{'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '418950.lk2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 10352104
{'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '418950.lk2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 10352105
{'conductor': 418950, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '418950.lk2', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4254354
{'adelic_gens': [[1, 2, 2, 5], [49, 76, 104, 15], [117, 4, 116, 5], [3, 4, 8, 11], [44, 1, 79, 0], [61, 4, 2, 9], [74, 1, 23, 0], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '120.12.0.?', 'conductor': 418950, 'lmfdb_label': '418950.lk2', 'prime': 0}
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id: 1414947
{'conductor': 418950, 'elladic_image': '2.3.0.1', 'lmfdb_label': '418950.lk2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 418950.lk does not appear in ec_padic