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ec_curvedata • Show schema
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{'Ciso': '303450ec', 'Clabel': '303450ec1', 'Cnumber': 1, 'abc_quality': 1.0758887186879031, 'absD': 1236744090413409375000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 408, 'ainvs': [1, 1, 1, 2524987, -690261469], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 303450, 'degree': 14929920, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7357842313077269127816855905', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 106, 'isogeny_degrees': [1, 3], 'jinv': [188819819375, 131167512], 'lmfdb_iso': '303450.ec', 'lmfdb_label': '303450.ec2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 350, -980], 'min_quad_twist_disc': 85, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.5', '51.8.0-3.a.1.2', '408.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.6730721126092049807322639165', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.24621895099021862292307872608', 'prec': 103}, 'szpiro_ratio': 4.423589139214088, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -1, 1, 0, -1, -1, 1, 1, 0, 0, -1, -4, -1, 0, 1, 0, 1, 2, 0], 'aplist': [1, -1, 0, -1, 0, -4, 0, 2, 9, 0, -2, 7, -3, -4, -6, -9, 9, 1, 8, -3, 4, 4, -3, -6, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 303450, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '303450.ec', 'trace_hash': 1095316248680634248}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0042046321750585070967723186131', 'prec': 110}, 'conductor': 303450, 'gens': [[3409, 478370, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '4.6730721126092049807322639165', 'prec': 100}], 'lmfdb_label': '303450.ec2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.086703769779464474942752973902', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.7241512467481007171427604980169001743', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 303450.ec2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 12828168
{'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '303450.ec2', 'torsion': [3]}
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id: 12828169
{'degree': 3, 'field': [42, -18, -1, 1], 'lmfdb_label': '303450.ec2', 'torsion': [2]}
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id: 12828172
{'degree': 6, 'field': [64, -16, -24, 34, -6, -1, 1], 'lmfdb_label': '303450.ec2', 'torsion': [6]}
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id: 12828170
{'degree': 6, 'field': [102, 0, 157, 0, 64, 0, 1], 'lmfdb_label': '303450.ec2', 'torsion': [2, 2]}
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id: 12828171
{'degree': 6, 'field': [820, 190, -185, -11, 8, -3, 1], 'lmfdb_label': '303450.ec2', 'torsion': [3]}
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id: 12828175
{'degree': 12, 'field': [443392, -596480, 411328, -176128, 60616, -23888, 6620, -824, 274, 20, 25, -2, 1], 'lmfdb_label': '303450.ec2', 'torsion': [2, 6]}
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id: 12828174
{'degree': 12, 'field': [672400, 155800, 187800, -17110, 29755, -3465, 3811, -1008, 216, -2, 1, -3, 1], 'lmfdb_label': '303450.ec2', 'torsion': [3, 3]}
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id: 12828173
{'degree': 12, 'field': [1906596, -880896, 189734, 97160, -210280, 14424, 33631, -8044, -355, 240, -11, -4, 1], 'lmfdb_label': '303450.ec2', 'torsion': [4]}
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id: 12828176
{'degree': 18, 'field': [1884794752, 2870075328, 953844576, -20584472, 197839368, -32096100, -152799354, -27058710, 13773972, 3171795, 268461, 77550, -35916, -8916, 2460, 200, -96, -3, 1], 'lmfdb_label': '303450.ec2', 'torsion': [9]}
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id: 12828177
{'degree': 18, 'field': [11770640064, 0, -1773453447, 0, 299919321, 0, 101618181, 0, -1356594, 0, 736642, 0, -9398, 0, 1545, 0, -11, 0, 1], 'lmfdb_label': '303450.ec2', 'torsion': [6]}
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ec_localdata • Show schema
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id: 7515200
{'conductor': 303450, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '303450.ec2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 7515201
{'conductor': 303450, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '303450.ec2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 7515202
{'conductor': 303450, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '303450.ec2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 7515203
{'conductor': 303450, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '303450.ec2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 7515204
{'conductor': 303450, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '303450.ec2', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 3571456
{'adelic_gens': [[4, 3, 9, 7], [103, 6, 0, 1], [403, 6, 402, 7], [167, 402, 93, 389], [405, 406, 398, 401], [222, 193, 139, 342], [1, 6, 0, 1], [205, 6, 207, 19], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '408.16.0.?', 'conductor': 303450, 'lmfdb_label': '303450.ec2', 'prime': 0}
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id: 1068322
{'conductor': 303450, 'elladic_image': '3.4.0.1', 'lmfdb_label': '303450.ec2', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 303450.ec does not appear in ec_padic