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ec_curvedata • Show schema
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{'Ciso': '112530cr', 'Clabel': '112530cr3', 'Cnumber': 3, 'abc_quality': 0.9714123101736262, 'absD': 80446861816406250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 40920, 'ainvs': [1, 0, 0, 80644, -10410630], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 112530, 'degree': 1474560, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9295312822692150934345461210', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4], 'jinv': [32740359775271, 45410156250], 'lmfdb_iso': '112530.ck', 'lmfdb_label': '112530.ck4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 666, 7882], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.bb.1', '88.12.0.?', '440.24.0.?', '744.12.0.?', '3720.24.0.?', '4092.12.0.?', '8184.24.0.?', '40920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73058364587002982140357433202', 'prec': 103}, 'szpiro_ratio': 3.9412956840500004, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, -1, 1, -4, 1, 1, -1, 0, 1, -2, -4, -1, 1, -2, 1, -4, -1], 'aplist': [1, 1, -1, -4, 0, -2, -2, -4, 4, 2, -1, -6, -10, 4, 8, -6, 8, -10, -12, 0, -14, 8, -4, -6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 112530, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '112530.ck', 'trace_hash': 1586832481461878245}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.021087758672915552158909943898', 'prec': 107}, 'conductor': 112530, 'gens': [], 'heights': [], 'lmfdb_label': '112530.ck4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18219741923642419012767467212', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4575793538913935210213973769584812166', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[447, -447, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [10, 1], '3': [3, 0], '5': [0, 0], '11': 'a', '31': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '112530.ck4'}
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ec_torsion_growth • Show schema
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id: 5171623
{'degree': 2, 'field': [-1023, 0, 1], 'lmfdb_label': '112530.ck4', 'torsion': [4]}
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id: 5171624
{'degree': 2, 'field': [22, 0, 1], 'lmfdb_label': '112530.ck4', 'torsion': [4]}
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id: 5171622
{'degree': 2, 'field': [186, 0, 1], 'lmfdb_label': '112530.ck4', 'torsion': [2, 2]}
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id: 5171625
{'degree': 4, 'field': [1681, 0, 104, 0, 1], 'lmfdb_label': '112530.ck4', 'torsion': [2, 4]}
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id: 5171629
{'degree': 8, 'field': [-109842, 10716, -11850, 2267, -1130, -7, 7, -4, 1], 'lmfdb_label': '112530.ck4', 'torsion': [6]}
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id: 5171628
{'degree': 8, 'field': [561056, 444800, 172448, 19200, -492, -400, -52, 0, 1], 'lmfdb_label': '112530.ck4', 'torsion': [8]}
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id: 5171626
{'degree': 8, 'field': [1507984, 0, 153824, 0, 4392, 0, -88, 0, 1], 'lmfdb_label': '112530.ck4', 'torsion': [2, 4]}
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id: 5171627
{'degree': 8, 'field': [19193161, 0, -1365703, 0, 27588, 0, -223, 0, 1], 'lmfdb_label': '112530.ck4', 'torsion': [8]}
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id: 5171635
{'degree': 16, 'field': [451584, 0, 5326848, 0, 1972224, 0, 642016, 0, 95072, 0, 10264, 0, 772, 0, 44, 0, 1], 'lmfdb_label': '112530.ck4', 'torsion': [12]}
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id: 5171634
{'degree': 16, 'field': [543125925, 100975680, -1004972382, 876945240, 121095768, -160759404, 11451834, -57939888, 16273626, 724944, 292330, 25848, 48, -4, 66, 0, 1], 'lmfdb_label': '112530.ck4', 'torsion': [12]}
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id: 5171631
{'degree': 16, 'field': [8122335376, 0, -4324417984, 0, 705862016, 0, -12100704, 0, -85096, 0, -51216, 0, 2048, 0, -40, 0, 1], 'lmfdb_label': '112530.ck4', 'torsion': [2, 8]}
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id: 5171630
{'degree': 16, 'field': [8882874001, 0, 0, 0, 162745180, 0, 0, 0, 3086166, 0, 0, 0, -260, 0, 0, 0, 1], 'lmfdb_label': '112530.ck4', 'torsion': [4, 4]}
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id: 5171632
{'degree': 16, 'field': [3820797616441, 1936536101720, 197715200176, 25234581680, 38066414826, 1615650080, 87615196, 229458240, 3467659, 1716000, 584924, -5280, 12998, -440, 140, 0, 1], 'lmfdb_label': '112530.ck4', 'torsion': [2, 8]}
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id: 5171633
{'degree': 16, 'field': [26058572997252, -3098591119632, 3119190460344, -39972512316, 16775252196, 4259593224, -2093391833, 569515192, -132138588, -7603942, 2303291, -433668, 78011, -2674, 402, -8, 1], 'lmfdb_label': '112530.ck4', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 2766461
{'conductor': 112530, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '112530.ck4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 2766462
{'conductor': 112530, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '112530.ck4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 2766463
{'conductor': 112530, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '112530.ck4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2766464
{'conductor': 112530, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '112530.ck4', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2766465
{'conductor': 112530, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '112530.ck4', 'prime': 31, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2400425
{'adelic_gens': [[1244, 18601, 32263, 11166], [32737, 26048, 748, 22353], [1, 0, 8, 1], [25576, 31163, 28369, 17238], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 40914, 40915], [32088, 473, 24673, 21000], [18599, 0, 0, 40919], [40913, 8, 40912, 9], [10924, 18601, 26543, 11166]], 'adelic_image': '40920.48.0.?', 'conductor': 112530, 'lmfdb_label': '112530.ck4', 'prime': 0}
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id: 445465
{'conductor': 112530, 'elladic_image': '4.6.0.1', 'lmfdb_label': '112530.ck4', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 112530.ck does not appear in ec_padic