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ec_curvedata • Show schema
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{'Ciso': '2736t', 'Clabel': '2736t2', 'Cnumber': 2, 'absD': 9701462016, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 228, 'ainvs': [0, 0, 0, -939, 10010], 'analytic_rank': 0, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2736, 'degree': 1536, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.65087107241120140673680630932', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [30664297, 3249], 'lmfdb_iso': '2736.s', 'lmfdb_label': '2736.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -7, 5], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['1.1.0.1', '2.6.0.1', '4.12.0.1', '12.24.0.8', '76.24.0.?', '228.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.59158225248279874837804843060', 'prec': 107}, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 1, 0], 'aplist': [0, 0, 2, 0, 0, 6, 6, 1, 4, -2, -8, -10, 2, 4, 12, 6, -12, -2, 4, 0, 10, 0, 16, 2, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 2736, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '2736.s', 'trace_hash': 1543816632100312673}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.27205741651811419609213571433', 'prec': 103}, 'conductor': 2736, 'gens': [], 'heights': [], 'lmfdb_label': '2736.s2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.2531991180917072968750460872', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5063982361834145937500921744069279075', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[13, 0, 1], [22, 0, 1]], 'xcoord_integral_points': [-35, 13, 22]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '2736.s2'}
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ec_torsion_growth • Show schema
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id: 142837
{'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '2736.s2', 'torsion': [2, 4]}
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id: 142839
{'degree': 4, 'field': [1, 0, -1, 0, 1], 'lmfdb_label': '2736.s2', 'torsion': [2, 4]}
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id: 142838
{'degree': 4, 'field': [361, 0, 19, 0, 1], 'lmfdb_label': '2736.s2', 'torsion': [2, 4]}
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id: 142842
{'degree': 8, 'field': [-27, 0, -39, 0, 18, 0, 0, 0, 1], 'lmfdb_label': '2736.s2', 'torsion': [2, 6]}
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id: 142841
{'degree': 8, 'field': [256, 0, -712, 0, 153, 0, -16, 0, 1], 'lmfdb_label': '2736.s2', 'torsion': [2, 8]}
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id: 142840
{'degree': 8, 'field': [625, 0, 225, 0, 56, 0, 9, 0, 1], 'lmfdb_label': '2736.s2', 'torsion': [4, 4]}
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id: 142843
{'degree': 16, 'field': [1, 0, 4, 0, 29, 0, -60, 0, 152, 0, -60, 0, 29, 0, 4, 0, 1], 'lmfdb_label': '2736.s2', 'torsion': [2, 8]}
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id: 142844
{'degree': 16, 'field': [4, 24, -16, -136, 548, -1212, 1916, -2388, 2425, -2040, 1420, -812, 378, -140, 40, -8, 1], 'lmfdb_label': '2736.s2', 'torsion': [2, 8]}
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id: 142845
{'degree': 16, 'field': [9, 0, -219, 0, -356, 0, -438, 0, 30, 0, 73, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '2736.s2', 'torsion': [2, 12]}
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ec_localdata • Show schema
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id: 48561
{'conductor': 2736, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '2736.s2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 48562
{'conductor': 2736, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '2736.s2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 48563
{'conductor': 2736, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2736.s2', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1681908
{'adelic_gens': [[111, 224, 226, 225], [63, 2, 34, 227], [225, 4, 224, 5], [1, 4, 0, 1], [151, 226, 0, 227], [1, 0, 4, 1]], 'adelic_image': '228.48.0.?', 'conductor': 2736, 'lmfdb_label': '2736.s2', 'prime': 0}
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id: 13772
{'conductor': 2736, 'elladic_image': '4.12.0.1', 'lmfdb_label': '2736.s2', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 2736.s does not appear in ec_padic