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ec_curvedata • Show schema
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{'Ciso': '397800cg', 'Clabel': '397800cg2', 'Cnumber': 2, 'abc_quality': 0.9741860948903959, 'absD': 37960810700962500000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1768, 'ainvs': [0, 0, 0, -43455675, -316274418250], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 397800, 'degree': 70778880, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5933626928092888045681804412', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2], 'jinv': [-389032340685029858, 1627263833203125], 'lmfdb_iso': '397800.cg', 'lmfdb_label': '397800.cg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -193136, 93646560], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '68.6.0.c.1', '104.6.0.?', '1768.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6039526767449005712710487115', 'prec': 100}, 'szpiro_ratio': 5.156229302417497, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, -1, 0, -8, 0], 'aplist': [0, 0, 0, 0, -2, 1, -1, -8, 6, 0, -4, -2, -4, 4, 0, -6, -4, 8, -8, 4, 0, 10, 8, -6, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 397800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '397800.cg', 'trace_hash': 562479703965880361}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00075656251907545179732771323469', 'prec': 113}, 'conductor': 397800, 'gens': [], 'heights': [], 'lmfdb_label': '397800.cg2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.026772335099990267656884990767', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.64253604239976642376523977841528962686', 'prec': 133}, 'tamagawa_product': 96, 'torsion_generators': [[8890, 0, 1]], 'xcoord_integral_points': [8890]}
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lmfdb_label 397800.cg2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 16413558
{'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '397800.cg2', 'torsion': [2, 2]}
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id: 16413559
{'degree': 4, 'field': [-5850, 0, -105, 0, 1], 'lmfdb_label': '397800.cg2', 'torsion': [4]}
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id: 16413562
{'degree': 8, 'field': [-10800, 0, -5520, 0, -360, 0, 0, 0, 1], 'lmfdb_label': '397800.cg2', 'torsion': [6]}
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id: 16413561
{'degree': 8, 'field': [1192464, 0, -275808, 0, 16978, 0, -104, 0, 1], 'lmfdb_label': '397800.cg2', 'torsion': [2, 4]}
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id: 16413560
{'degree': 8, 'field': [5973136, 0, 2290392, 0, -20167, 0, 72, 0, 1], 'lmfdb_label': '397800.cg2', 'torsion': [2, 4]}
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id: 16413563
{'degree': 16, 'field': [-5707057824, 18490006080, -15439210848, 5620431456, -706875264, 2790815184, -991253928, 84341496, -38696690, 6662552, 1030948, 177356, -33927, -1556, -122, -8, 1], 'lmfdb_label': '397800.cg2', 'torsion': [8]}
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id: 16413564
{'degree': 16, 'field': [119948624896, 0, 33323772928, 0, 11171607808, 0, 1157349376, 0, 44102080, 0, 1010656, 0, 18208, 0, 208, 0, 1], 'lmfdb_label': '397800.cg2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 9840684
{'conductor': 397800, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '397800.cg2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 9840685
{'conductor': 397800, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '397800.cg2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 9840686
{'conductor': 397800, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '397800.cg2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 9840687
{'conductor': 397800, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '397800.cg2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 9840688
{'conductor': 397800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '397800.cg2', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4131757
{'adelic_gens': [[1226, 1, 271, 0], [1, 2, 2, 5], [1548, 225, 1105, 664], [1, 4, 0, 1], [1765, 4, 1764, 5], [2, 1, 883, 0], [1, 0, 4, 1], [3, 4, 8, 11], [105, 4, 210, 9]], 'adelic_image': '1768.12.0.?', 'conductor': 397800, 'lmfdb_label': '397800.cg2', 'prime': 0}
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id: 1353397
{'conductor': 397800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '397800.cg2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 397800.cg does not appear in ec_padic