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ec_curvedata • Show schema
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{'Ciso': '304200k', 'Clabel': '304200k2', 'Cnumber': 2, 'abc_quality': 0.9882017545674919, 'absD': 13380023151202500000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 780, 'ainvs': [0, 0, 0, -5944575, -386122750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 304200, 'degree': 24772608, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9352464142139282399977506532', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [1650587344, 950625], 'lmfdb_iso': '304200.k', 'lmfdb_label': '304200.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -156, 0], 'min_quad_twist_disc': -195, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.a.1', '20.12.0-2.a.1.2', '52.12.0.b.1', '60.24.0-12.a.1.4', '156.24.0.?', '260.24.0.?', '780.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8651904605340950543347956342', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16335148544124203397181676696', 'prec': 107}, 'szpiro_ratio': 4.62618085196863, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, 0, -4, 4, 0, -6, 0, -8, -6, 4, -2, -10, 4, 8, -2, 12, -2, -16, -8, -6, -16, -4, -2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 304200, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '304200.k', 'trace_hash': 1751987167557430954}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0028214824845413262119432338987', 'prec': 110}, 'conductor': 304200, 'gens': [[-715, 59150, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8651904605340950543347956342', 'prec': 100}], 'lmfdb_label': '304200.k2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10526839169744655724109544612', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8258238669966465528066377724883823346', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-65, 0, 1], [2470, 0, 1]], 'xcoord_integral_points': [-2405, -715, -65, 2470, 4345, 9061]}
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lmfdb_label 304200.k2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 12857755
{'degree': 4, 'field': [40, 25, -1, -1, 1], 'lmfdb_label': '304200.k2', 'torsion': [2, 4]}
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id: 12857754
{'degree': 4, 'field': [129, 36, -35, -2, 1], 'lmfdb_label': '304200.k2', 'torsion': [2, 4]}
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id: 12857753
{'degree': 4, 'field': [289, 0, 31, 0, 1], 'lmfdb_label': '304200.k2', 'torsion': [2, 4]}
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id: 12857756
{'degree': 8, 'field': [-1162580, -249040, 113596, 13676, -80, -340, -20, -4, 1], 'lmfdb_label': '304200.k2', 'torsion': [2, 6]}
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id: 12857758
{'degree': 16, 'field': [8349, 28974, 63540, 77898, 53806, 1256, -18550, -3282, 10099, 2080, -1922, 94, 238, -6, -10, -4, 1], 'lmfdb_label': '304200.k2', 'torsion': [2, 8]}
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id: 12857757
{'degree': 16, 'field': [59536, 0, -109540, 0, 63833, 0, -12936, 0, 1544, 0, -294, 0, 56, 0, -4, 0, 1], 'lmfdb_label': '304200.k2', 'torsion': [4, 4]}
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id: 12857760
{'degree': 16, 'field': [201185856, 0, 160610688, 0, 51836436, 0, 8559972, 0, 838521, 0, 50292, 0, 1926, 0, 48, 0, 1], 'lmfdb_label': '304200.k2', 'torsion': [2, 8]}
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id: 12857759
{'degree': 16, 'field': [753173136, 0, -268703232, 0, 5279008, 0, 2846176, 0, -60424, 0, -6560, 0, -136, 0, -8, 0, 1], 'lmfdb_label': '304200.k2', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 7533809
{'conductor': 304200, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '304200.k2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 7533810
{'conductor': 304200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '304200.k2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 7533811
{'conductor': 304200, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '304200.k2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 7533812
{'conductor': 304200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '304200.k2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 3576161
{'adelic_gens': [[1, 0, 4, 1], [391, 160, 470, 321], [623, 0, 0, 779], [1, 4, 0, 1], [309, 310, 730, 469], [479, 310, 0, 779], [777, 4, 776, 5]], 'adelic_image': '780.48.0.?', 'conductor': 304200, 'lmfdb_label': '304200.k2', 'prime': 0}
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id: 1070925
{'conductor': 304200, 'elladic_image': '2.6.0.1', 'lmfdb_label': '304200.k2', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 304200.k does not appear in ec_padic