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ec_curvedata • Show schema
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{'Ciso': '369600ra', 'Clabel': '369600ra2', 'Cnumber': 2, 'abc_quality': 0.9240191695040028, 'absD': 215151552000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3080, 'ainvs': [0, 1, 0, -1812833, -939813537], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 369600, 'degree': 5898240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2996073456246209563646440150', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 442, 'isogeny_degrees': [1, 2], 'jinv': [10294787169064, 3361743], 'lmfdb_iso': '369600.ra', 'lmfdb_label': '369600.ra1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -18128, 945252], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '220.6.0.?', '280.6.0.?', '616.6.0.?', '3080.12.0.?'], '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': '0.22609493559911403864253436326', 'prec': 103}, 'szpiro_ratio': 4.278007186192448, '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, 0, 0, 1, 0, 1, 0, -1, 0, -6, 0, 0, 0, 2, 0, 2, 0], 'aplist': [0, 1, 0, 1, -1, -6, 2, 2, 0, 4, 8, -2, -4, 8, -6, 2, -4, 6, 10, -4, -10, -2, -12, -6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 369600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '369600.ra', 'trace_hash': 854822924956787906}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.010059732639549524923152960094', 'prec': 107}, 'conductor': 369600, 'gens': [], 'heights': [], 'lmfdb_label': '369600.ra1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.13011237250373229297079491936', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1226969400895750312990780647073284653', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-767, 0, 1]], 'xcoord_integral_points': [-767]}
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lmfdb_label 369600.ra1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15347796
{'degree': 2, 'field': [-70, 0, 1], 'lmfdb_label': '369600.ra1', 'torsion': [2, 2]}
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id: 15347797
{'degree': 4, 'field': [71, 59, 6, -1, 1], 'lmfdb_label': '369600.ra1', 'torsion': [4]}
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id: 15347800
{'degree': 8, 'field': [-14700, 0, -4600, 0, -420, 0, 0, 0, 1], 'lmfdb_label': '369600.ra1', 'torsion': [6]}
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id: 15347798
{'degree': 8, 'field': [441, 0, -1372, 0, 364, 0, -28, 0, 1], 'lmfdb_label': '369600.ra1', 'torsion': [2, 4]}
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id: 15347799
{'degree': 8, 'field': [3136, 0, -3584, 0, 1796, 0, 46, 0, 1], 'lmfdb_label': '369600.ra1', 'torsion': [2, 4]}
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id: 15347802
{'degree': 16, 'field': [6880702500, 0, -20483190000, 0, 20437038000, 0, -6986707000, 0, 139002500, 0, -292000, 0, -140, 0, -140, 0, 1], 'lmfdb_label': '369600.ra1', 'torsion': [2, 6]}
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id: 15347801
{'degree': 16, 'field': [27991628361, -15417487044, 4490513682, -2546421984, 812970613, -107601424, 61567446, -14511532, 1984728, -857204, 145854, -20720, 6573, -328, 138, -4, 1], 'lmfdb_label': '369600.ra1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 9146032
{'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '369600.ra1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 9146033
{'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '369600.ra1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 9146034
{'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '369600.ra1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 9146035
{'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '369600.ra1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 9146036
{'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '369600.ra1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3964966
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [2468, 1, 2463, 0], [3077, 4, 3076, 5], [1, 4, 0, 1], [1322, 1, 879, 0], [2521, 4, 1962, 9], [1156, 1929, 385, 2696], [2, 1, 1539, 0]], 'adelic_image': '3080.12.0.?', 'conductor': 369600, 'lmfdb_label': '369600.ra1', 'prime': 0}
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id: 1269526
{'conductor': 369600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '369600.ra1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 369600.ra does not appear in ec_padic