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ec_curvedata • Show schema
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{'Ciso': '43200fn', 'Clabel': '43200fn2', 'Cnumber': 2, 'abc_quality': 1.198754152359422, 'absD': 644972544000000, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 360, 'ainvs': [0, 0, 0, 18900, -702000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 43200, 'degree': 124416, 'elladic_images': ['9.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5292352989570569844023581638', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 96, 'isogeny_degrees': [1, 3], 'jinv': [9261, 8], 'lmfdb_iso': '43200.ds', 'lmfdb_label': '43200.ds3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 12, 8], 'min_quad_twist_disc': -40, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '9.36.0.a.1', '24.24.1.ci.1', '60.24.0-3.a.1.2', '72.72.3.?', '120.48.1.?', '180.72.0.?', '360.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, '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': '-1.1391636446009934355703036127', 'prec': 103}, 'szpiro_ratio': 3.855716059176626, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -3, 0, -4, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, 0, 0, -1, -3, -4, 0, 2, -6, -6, -5, 2, -6, 10, 6, 9, 12, -8, -14, 0, 7, -8, 3, -18, 1], 'class_deg': 9, 'class_size': 3, 'conductor': 43200, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '43200.ds', 'trace_hash': 556262588636279428}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.046959460223644852825867039009', 'prec': 107}, 'conductor': 43200, 'gens': [], 'heights': [], 'lmfdb_label': '43200.ds3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28222003154159375137629288914', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.56444006308318750275258577827279639895', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '43200.ds3'}
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ec_torsion_growth • Show schema
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id: 2116568
{'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '43200.ds3', 'torsion': [3]}
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id: 2116569
{'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '43200.ds3', 'torsion': [3]}
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id: 2116570
{'degree': 3, 'field': [-2, 3, 0, 1], 'lmfdb_label': '43200.ds3', 'torsion': [2]}
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id: 2116571
{'degree': 4, 'field': [100, 0, -10, 0, 1], 'lmfdb_label': '43200.ds3', 'torsion': [3, 3]}
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id: 2116574
{'degree': 6, 'field': [-750, 0, -75, 0, 0, 0, 1], 'lmfdb_label': '43200.ds3', 'torsion': [6]}
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id: 2116573
{'degree': 6, 'field': [-750, 0, 300, 0, -30, 0, 1], 'lmfdb_label': '43200.ds3', 'torsion': [9]}
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id: 2116572
{'degree': 6, 'field': [6, 0, -3, 0, 0, 0, 1], 'lmfdb_label': '43200.ds3', 'torsion': [2, 2]}
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id: 2116575
{'degree': 6, 'field': [206, 252, 81, -28, -18, 0, 1], 'lmfdb_label': '43200.ds3', 'torsion': [6]}
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id: 2116576
{'degree': 12, 'field': [-8654, -4578, 1944, -110, -1584, 18, 192, -162, -39, 25, -6, -3, 1], 'lmfdb_label': '43200.ds3', 'torsion': [4]}
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id: 2116579
{'degree': 12, 'field': [1156, 0, 840, 0, 252, 0, 212, 0, 81, 0, 12, 0, 1], 'lmfdb_label': '43200.ds3', 'torsion': [2, 6]}
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id: 2116577
{'degree': 12, 'field': [5491, -8466, 9375, -946, -1428, 1530, 653, -822, -6, 130, -15, -6, 1], 'lmfdb_label': '43200.ds3', 'torsion': [3, 6]}
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id: 2116578
{'degree': 12, 'field': [8961, -11880, -3612, 9528, 639, -3288, -440, 552, 159, -32, -12, 0, 1], 'lmfdb_label': '43200.ds3', 'torsion': [2, 6]}
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id: 2116581
{'degree': 18, 'field': [-389189, 871230, -700179, 122460, 380598, -547524, 372390, -99228, -44568, 46436, -10548, -5412, 4656, -1368, 96, 36, 3, -6, 1], 'lmfdb_label': '43200.ds3', 'torsion': [18]}
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id: 2116580
{'degree': 18, 'field': [1021030001, 178739640, 891019800, 101880012, 358110180, 23353200, 84180042, 2700720, 12645900, 150034, 1261980, 1800, 83997, -180, 3600, -6, 90, 0, 1], 'lmfdb_label': '43200.ds3', 'torsion': [9]}
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ec_localdata • Show schema
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id: 1025949
{'conductor': 43200, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '43200.ds3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1025950
{'conductor': 43200, 'conductor_valuation': 3, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '43200.ds3', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 1025951
{'conductor': 43200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '43200.ds3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1951954
{'adelic_gens': [[343, 18, 342, 19], [1, 18, 0, 1], [89, 270, 0, 359], [179, 270, 315, 269], [1, 9, 9, 82], [143, 0, 0, 359], [79, 90, 225, 269], [1, 6, 6, 37], [1, 0, 18, 1], [1, 12, 0, 1]], 'adelic_image': '360.144.3.?', 'conductor': 43200, 'lmfdb_label': '43200.ds3', 'prime': 0}
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id: 188237
{'conductor': 43200, 'elladic_image': '9.36.0.1', 'lmfdb_label': '43200.ds3', 'modell_image': '3Cs', 'prime': 3}
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lmfdb_iso 43200.ds does not appear in ec_padic
