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ec_curvedata • Show schema
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{'Ciso': '2450h', 'Clabel': '2450h2', 'Cnumber': 2, 'abc_quality': 0.9862214437483838, 'absD': 1103418941406250, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 840, 'ainvs': [1, 0, 1, -601501, 179513898], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 2450, 'degree': 30240, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9620626435375416750258303961', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3], 'jinv': [-5452947409, 250], 'lmfdb_iso': '2450.f', 'lmfdb_label': '2450.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -491, -4229], 'min_quad_twist_disc': -35, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '40.2.0.a.1', '105.8.0.?', '120.8.0.?', '168.8.0.?', '840.16.0.?'], '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, 'serre_invariants': [[2, 4, 1225], [5, 18, 98], [7, 20, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.46424810355893626652900989005', 'prec': 107}, 'szpiro_ratio': 6.603826895177231, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -2, 1, 0, 2, 0, -1, 1, 0, 3, -2, 5, 0, 0, 1, 6, -1, 1, 0], 'aplist': [-1, -2, 0, 0, 3, 5, 6, 1, -3, -6, 4, -11, -3, 10, 3, -3, 0, 4, 4, 12, -4, -10, -12, -6, 14], 'class_deg': 3, 'class_size': 2, 'conductor': 2450, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '2450.f', 'trace_hash': 1938520737870484647}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.019759413128560884350573888176', 'prec': 107}, 'conductor': 2450, 'gens': [], 'heights': [], 'lmfdb_label': '2450.f1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.46104644190525944405437131648', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.92209288381051888810874263295312133844', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': [4, 0], '5': 'a', '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [2, 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': '2450.f1'}
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ec_torsion_growth • Show schema
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id: 125915
{'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '2450.f1', 'torsion': [3]}
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id: 125916
{'degree': 3, 'field': [15, 5, -1, 1], 'lmfdb_label': '2450.f1', 'torsion': [2]}
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id: 125919
{'degree': 6, 'field': [-146, 247, -17, -20, 2, -3, 1], 'lmfdb_label': '2450.f1', 'torsion': [6]}
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id: 125917
{'degree': 6, 'field': [90, 0, 61, 0, 8, 0, 1], 'lmfdb_label': '2450.f1', 'torsion': [2, 2]}
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id: 125918
{'degree': 6, 'field': [3024, 0, 0, -56, 0, 0, 1], 'lmfdb_label': '2450.f1', 'torsion': [3]}
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id: 125920
{'degree': 12, 'field': [-1666, -2842, -1617, 588, 2303, 1274, -371, -392, -133, -42, 7, 0, 1], 'lmfdb_label': '2450.f1', 'torsion': [4]}
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id: 125922
{'degree': 12, 'field': [64, 0, 480, 0, 660, 0, 596, 0, 165, 0, 30, 0, 1], 'lmfdb_label': '2450.f1', 'torsion': [2, 6]}
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id: 125921
{'degree': 12, 'field': [53859, -19926, -4803, 45642, -13284, -11466, 3949, -294, 312, -170, 45, -6, 1], 'lmfdb_label': '2450.f1', 'torsion': [3, 3]}
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id: 125924
{'degree': 18, 'field': [216000, 0, 0, -12800, 0, 0, 230064, 0, 0, -25152, 0, 0, 788, 0, 0, -16, 0, 0, 1], 'lmfdb_label': '2450.f1', 'torsion': [6]}
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id: 125923
{'degree': 18, 'field': [495908841, -768291399, 296014266, -9062514, 22732980, -133674, -17816789, 7809786, -1831434, 363495, 113586, -79194, 11371, -144, -300, 126, 6, -9, 1], 'lmfdb_label': '2450.f1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 41985
{'conductor': 2450, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2450.f1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 41986
{'conductor': 2450, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '2450.f1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 41987
{'conductor': 2450, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '2450.f1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1679914
{'adelic_gens': [[4, 3, 9, 7], [835, 6, 834, 7], [503, 714, 189, 461], [218, 147, 175, 547], [421, 126, 63, 379], [599, 0, 0, 839], [1, 6, 0, 1], [3, 4, 8, 11], [631, 126, 693, 379], [1, 0, 6, 1]], 'adelic_image': '840.16.0.?', 'conductor': 2450, 'lmfdb_label': '2450.f1', 'prime': 0}
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id: 12152
{'conductor': 2450, 'elladic_image': '3.4.0.1', 'lmfdb_label': '2450.f1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 2450.f does not appear in ec_padic
