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ec_curvedata • Show schema
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{'Ciso': '2496f', 'Clabel': '2496f1', 'Cnumber': 1, 'abc_quality': 1.0253733958534896, 'absD': 25022177856, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 104, 'ainvs': [0, -1, 0, -624, -9486], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 2496, 'degree': 1536, 'elladic_images': ['4.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.69179607747669585101446855938', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [-420526439488, 390971529], 'lmfdb_iso': '2496.d', 'lmfdb_label': '2496.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2497, 78385], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.a.1.1', '52.24.0-52.d.1.1', '104.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.34522248719672319630585249865', 'prec': 103}, 'szpiro_ratio': 4.075667742672534, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 6, 0, -2, 0], 'aplist': [0, -1, -2, 2, 2, 1, 6, -2, 0, -2, -2, -10, 2, 8, 2, 2, 10, -6, 14, 14, -6, 4, 6, 10, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 2496, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '2496.d', 'trace_hash': 2240085885062123326}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.25067646510408822085767985845', 'prec': 103}, 'conductor': 2496, 'gens': [], 'heights': [], 'lmfdb_label': '2496.d2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.45994576809397372843093662670', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3798373042819211852928098801058309061', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[31, 0, 1]], 'xcoord_integral_points': [31]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [2, 0], '13': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '2496.d2'}
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ec_torsion_growth • Show schema
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id: 128547
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '2496.d2', 'torsion': [2, 2]}
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id: 128548
{'degree': 4, 'field': [-4, 0, -6, 0, 1], 'lmfdb_label': '2496.d2', 'torsion': [4]}
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id: 128549
{'degree': 4, 'field': [13, 0, -4, 0, 1], 'lmfdb_label': '2496.d2', 'torsion': [2, 4]}
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id: 128551
{'degree': 8, 'field': [-3, 0, 16, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '2496.d2', 'torsion': [6]}
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id: 128550
{'degree': 8, 'field': [1, 0, 0, 0, 11, 0, 0, 0, 1], 'lmfdb_label': '2496.d2', 'torsion': [4, 4]}
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id: 128554
{'degree': 16, 'field': [4, -32, 128, -336, 656, -1024, 1312, -1320, 916, -304, -96, 152, -60, 8, 8, -4, 1], 'lmfdb_label': '2496.d2', 'torsion': [2, 6]}
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id: 128552
{'degree': 16, 'field': [4761, 0, 18104, 0, -26698, 0, -13536, 0, -2817, 0, -1104, 0, -222, 0, -8, 0, 1], 'lmfdb_label': '2496.d2', 'torsion': [8]}
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id: 128553
{'degree': 16, 'field': [219636, -710784, 580800, 211872, -442112, 345536, 112768, -192432, 89940, -18752, 1920, 176, -48, 0, 16, -8, 1], 'lmfdb_label': '2496.d2', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 42990
{'conductor': 2496, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '2496.d2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 42991
{'conductor': 2496, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2496.d2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 42992
{'conductor': 2496, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2496.d2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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ec_galrep • Show schema
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id: 1680229
{'adelic_gens': [[97, 8, 96, 9], [51, 100, 102, 95], [5, 8, 48, 77], [1, 0, 8, 1], [27, 4, 65, 1], [3, 8, 10, 27], [41, 2, 0, 1], [1, 8, 0, 1]], 'adelic_image': '104.48.0.?', 'conductor': 2496, 'lmfdb_label': '2496.d2', 'prime': 0}
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id: 12435
{'conductor': 2496, 'elladic_image': '4.12.0.12', 'lmfdb_label': '2496.d2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 2496.d does not appear in ec_padic