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ec_curvedata • Show schema
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{'Ciso': '162240gp', 'Clabel': '162240gp2', 'Cnumber': 2, 'abc_quality': 0.9103546892985722, 'absD': 164005171200, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 1, 0, -2201, -35385], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 162240, 'degree': 258048, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.87838593315852178830636221382', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 156, 'isogeny_degrees': [1, 2], 'jinv': [131096512, 18225], 'lmfdb_iso': '162240.ga', 'lmfdb_label': '162240.ga1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -550, -4148], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.g.1', '26.6.0.b.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1364245162773033716972800591', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.45599858676680770512424176803', 'prec': 107}, 'szpiro_ratio': 2.892768572871453, '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, -1, 0, 4, 0, 1, 0, -2, 0, 0, 0, -1, 0, -2, 0, -8, 0], 'aplist': [0, 1, -1, 4, -2, 0, -2, -8, 8, -6, 8, 8, -6, -8, -6, -6, 10, -2, 12, 14, -8, 8, 2, -10, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 162240, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '162240.ga', 'trace_hash': 301236843435510278}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.17260114503491928078948981709', 'prec': 103}, 'conductor': 162240, 'gens': [[82, 585, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1364245162773033716972800591', 'prec': 100}], 'lmfdb_label': '162240.ga1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.70342791471901776979387757437', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.5927127326461437303717257460459815333', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-35, 0, 1]], 'xcoord_integral_points': [-35, -23, 82]}
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lmfdb_label 162240.ga1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7249607
{'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '162240.ga1', 'torsion': [2, 2]}
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id: 7249608
{'degree': 4, 'field': [637, 0, 52, 0, 1], 'lmfdb_label': '162240.ga1', 'torsion': [4]}
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id: 7249611
{'degree': 8, 'field': [-73008, 0, -97344, 0, 936, 0, 0, 0, 1], 'lmfdb_label': '162240.ga1', 'torsion': [6]}
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id: 7249610
{'degree': 8, 'field': [81, 0, -618, 0, -2, 0, -18, 0, 1], 'lmfdb_label': '162240.ga1', 'torsion': [2, 4]}
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id: 7249609
{'degree': 8, 'field': [1521, 0, 2028, 0, 715, 0, 52, 0, 1], 'lmfdb_label': '162240.ga1', 'torsion': [2, 4]}
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id: 7249613
{'degree': 16, 'field': [14498097, -1607280, -160815618, -304760968, -201835618, -68271120, -29228354, -9564956, -1951245, -353580, -52542, 9540, 620, -208, 72, -8, 1], 'lmfdb_label': '162240.ga1', 'torsion': [2, 6]}
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id: 7249612
{'degree': 16, 'field': [707328612, -619550208, 325870344, -118445760, 59730864, -21659328, 9041868, -2546496, 854557, -101232, 39980, -288, 870, -48, 8, 0, 1], 'lmfdb_label': '162240.ga1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 4014608
{'conductor': 162240, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '162240.ga1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 4014609
{'conductor': 162240, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '162240.ga1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 4014610
{'conductor': 162240, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '162240.ga1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 4014611
{'conductor': 162240, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '162240.ga1', 'prime': 13, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2712965
{'adelic_gens': [[1, 2, 2, 5], [53, 4, 106, 9], [112, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [121, 40, 116, 39], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 162240, 'lmfdb_label': '162240.ga1', 'prime': 0}
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id: 617003
{'conductor': 162240, 'elladic_image': '2.3.0.1', 'lmfdb_label': '162240.ga1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 162240.ga does not appear in ec_padic