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ec_curvedata • Show schema
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{'Ciso': '333200cc', 'Clabel': '333200cc1', 'Cnumber': 1, 'abc_quality': 0.9985669732786868, 'absD': 33554985648128000000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 14280, 'ainvs': [0, -1, 0, 7819992, -2615577488], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 333200, 'degree': 17418240, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0112877534663876528765899930', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 54, 'isogeny_degrees': [1, 3], 'jinv': [7023836099951, 4456448000], 'lmfdb_iso': '333200.cc', 'lmfdb_label': '333200.cc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 399, -919], 'min_quad_twist_disc': 140, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '420.8.0.?', '680.2.0.?', '2040.8.0.?', '2856.8.0.?', '14280.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8301772104211541178181361098', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54046654216173550360630183321', 'prec': 103}, 'szpiro_ratio': 4.657743373353414, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, 0, 0, -2, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0], 'aplist': [0, -1, 0, 0, 0, -1, -1, -1, -6, -3, 5, -8, -6, -10, 3, 3, 3, -11, 2, -9, 11, -8, 12, -15, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 333200, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '333200.cc', 'trace_hash': 338332389055223527}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0024234200155105175482224849007', 'prec': 110}, 'conductor': 333200, 'gens': [[4996, 401408, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8301772104211541178181361098', 'prec': 100}], 'lmfdb_label': '333200.cc2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.066896423066274107592628516222', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9178338865467806518650290552211223169', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [], 'xcoord_integral_points': [618, 4996]}
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lmfdb_label 333200.cc2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 13965428
{'degree': 2, 'field': [-35, 0, 1], 'lmfdb_label': '333200.cc2', 'torsion': [3]}
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id: 13965429
{'degree': 3, 'field': [10, -6, -1, 1], 'lmfdb_label': '333200.cc2', 'torsion': [2]}
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id: 13965432
{'degree': 6, 'field': [-6860, 0, 49, 0, 14, 0, 1], 'lmfdb_label': '333200.cc2', 'torsion': [6]}
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id: 13965430
{'degree': 6, 'field': [270, -360, 171, -20, 2, 0, 1], 'lmfdb_label': '333200.cc2', 'torsion': [2, 2]}
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id: 13965431
{'degree': 6, 'field': [514500, 0, -13475, 0, 35, 0, 1], 'lmfdb_label': '333200.cc2', 'torsion': [3]}
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id: 13965433
{'degree': 12, 'field': [-16495384, -10886368, 4246082, 4416380, -707415, -378904, 58752, 5672, -1900, 320, 18, -4, 1], 'lmfdb_label': '333200.cc2', 'torsion': [4]}
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id: 13965435
{'degree': 12, 'field': [1162366, -1087108, 325646, 43144, -62083, 15012, 356, 244, -496, -8, 86, -4, 1], 'lmfdb_label': '333200.cc2', 'torsion': [2, 6]}
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id: 13965434
{'degree': 12, 'field': [1912050529, 0, -327615244, 0, 22971240, 0, -855818, 0, 18144, 0, -208, 0, 1], 'lmfdb_label': '333200.cc2', 'torsion': [3, 3]}
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id: 13965436
{'degree': 18, 'field': [-419564962444, -178073259912, 3486118320, 18706698832, 10039214220, 367288500, 484113348, 139150956, 11422482, 2334652, -995316, 233364, -62435, -12, -1395, 130, 9, -6, 1], 'lmfdb_label': '333200.cc2', 'torsion': [9]}
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id: 13965437
{'degree': 18, 'field': [557848263168000, 0, -3652577913600, 0, -764511437760, 0, -20999875904, 0, 452511668, 0, 25798745, 0, 479514, 0, -1029, 0, -14, 0, 1], 'lmfdb_label': '333200.cc2', 'torsion': [6]}
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ec_localdata • Show schema
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id: 8246890
{'conductor': 333200, 'conductor_valuation': 4, 'discriminant_valuation': 33, 'j_denominator_valuation': 21, 'kodaira_symbol': -29, 'lmfdb_label': '333200.cc2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 8246891
{'conductor': 333200, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '333200.cc2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 8246892
{'conductor': 333200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '333200.cc2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 8246893
{'conductor': 333200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '333200.cc2', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3748533
{'adelic_gens': [[4, 3, 9, 7], [8159, 0, 0, 14279], [13686, 10801, 11305, 8331], [7141, 10206, 5103, 2059], [1, 6, 0, 1], [14275, 6, 14274, 7], [11423, 4074, 7749, 12221], [3569, 4074, 12747, 12221], [3, 4, 8, 11], [8401, 10206, 8883, 2059], [1, 0, 6, 1]], 'adelic_image': '14280.16.0.?', 'conductor': 333200, 'lmfdb_label': '333200.cc2', 'prime': 0}
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id: 1159641
{'conductor': 333200, 'elladic_image': '3.4.0.1', 'lmfdb_label': '333200.cc2', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 333200.cc does not appear in ec_padic