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ec_curvedata • Show schema
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{'Ciso': '9702g', 'Clabel': '9702g2', 'Cnumber': 2, 'abc_quality': 1.0575781058143388, 'absD': 269998559373312, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1848, 'ainvs': [1, -1, 0, -11239188, -14499945776], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 9702, 'degree': 275968, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4580286777249679141190286411', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [144106117295241933, 247808], 'lmfdb_iso': '9702.d', 'lmfdb_label': '9702.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -229371, 42339429], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '88.6.0.?', '168.6.0.?', '924.6.0.?', '1848.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.72394299376645551244120277429', 'prec': 103}, 'szpiro_ratio': 6.570564352583845, '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, -2, 0, 0, -1, 0, 2, -1, 0, -2, 0, 0, 1, -6, 0, -4, -2], 'aplist': [-1, 0, -2, 0, -1, -2, -6, -4, -6, -6, 2, 2, -10, -6, 0, 2, 4, -14, 12, 2, -6, 0, -6, -6, 0], 'class_deg': 2, 'class_size': 2, 'conductor': 9702, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '9702.d', 'trace_hash': 2136064834002642303}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0073279655303442765345828054797', 'prec': 110}, 'conductor': 9702, 'gens': [], 'heights': [], 'lmfdb_label': '9702.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.082454776524114697259728189323', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.16490955304822939451945637864581074457', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[-7741, 7741, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [5, 0], '3': 'a', '7': 'a', '11': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '9702.d1'}
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ec_torsion_growth • Show schema
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id: 503569
{'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '9702.d1', 'torsion': [2, 2]}
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id: 503570
{'degree': 4, 'field': [1050, 0, 63, 0, 1], 'lmfdb_label': '9702.d1', 'torsion': [4]}
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id: 503573
{'degree': 8, 'field': [72, 36, -216, -228, 0, 30, 2, -1, 1], 'lmfdb_label': '9702.d1', 'torsion': [6]}
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id: 503571
{'degree': 8, 'field': [1444, 0, -704, 0, 66, 0, -8, 0, 1], 'lmfdb_label': '9702.d1', 'torsion': [2, 4]}
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id: 503572
{'degree': 8, 'field': [71824, 0, -23768, 0, 2385, 0, -68, 0, 1], 'lmfdb_label': '9702.d1', 'torsion': [2, 4]}
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id: 503575
{'degree': 16, 'field': [5875776, 0, -23866056, 0, -779756, 0, -233616, 0, -27036, 0, -2740, 0, 36, 0, 24, 0, 1], 'lmfdb_label': '9702.d1', 'torsion': [2, 6]}
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id: 503574
{'degree': 16, 'field': [12960000, 0, -9849600, 0, 11991888, 0, 7450272, 0, 642996, 0, -131328, 0, 6408, 0, -72, 0, 1], 'lmfdb_label': '9702.d1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 204399
{'conductor': 9702, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '9702.d1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 204400
{'conductor': 9702, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '9702.d1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 204401
{'conductor': 9702, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '9702.d1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 204402
{'conductor': 9702, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '9702.d1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1728144
{'adelic_gens': [[796, 1, 263, 0], [2, 1, 923, 0], [1, 2, 2, 5], [1, 4, 0, 1], [1845, 4, 1844, 5], [1, 0, 4, 1], [3, 4, 8, 11], [620, 1, 1231, 0], [673, 4, 1346, 9], [233, 1618, 1616, 231]], 'adelic_image': '1848.12.0.?', 'conductor': 9702, 'lmfdb_label': '9702.d1', 'prime': 0}
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id: 46969
{'conductor': 9702, 'elladic_image': '2.3.0.1', 'lmfdb_label': '9702.d1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 9702.d does not appear in ec_padic