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ec_curvedata • Show schema
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{'Ciso': '2100q', 'Clabel': '2100q1', 'Cnumber': 1, 'abc_quality': 1.212243337747202, 'absD': 3281116734000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, 1, 0, -3073, -110092], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 2100, 'degree': 4032, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0970763959076196436423899252', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [-1605176213504, 1640558367], 'lmfdb_iso': '2100.j', 'lmfdb_label': '2100.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3073, -110092], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.b.1', '70.6.0.a.1', '84.6.0.?', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46366785761244611351978938474', 'prec': 103}, 'szpiro_ratio': 4.800531670105956, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 0, 0, -1, 0, 1, 0, -4, 0, 6, 0, 0, 0, -2, 0, 6, 0], 'aplist': [0, 1, 0, -1, -4, 6, -2, 6, -2, 6, -2, 4, 8, 4, -4, -6, 4, 14, -4, 0, 10, 0, 16, 8, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 2100, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '2100.j', 'trace_hash': 245403101754982224}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.11145294536540687583290060774', 'prec': 103}, 'conductor': 2100, 'gens': [], 'heights': [], 'lmfdb_label': '2100.j2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.30798159725423957640931287468', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1558711807796770348651901227373037272', 'prec': 130}, 'tamagawa_product': 28, 'torsion_generators': [[68, 0, 1]], 'xcoord_integral_points': [68]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [2, 0]}, 'iwp0': 11, 'lmfdb_label': '2100.j2'}
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ec_torsion_growth • Show schema
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id: 106243
{'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '2100.j2', 'torsion': [2, 2]}
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id: 106244
{'degree': 4, 'field': [21, 42, 4, -2, 1], 'lmfdb_label': '2100.j2', 'torsion': [4]}
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id: 106247
{'degree': 8, 'field': [-24, 12, 30, -23, 4, 13, -5, -2, 1], 'lmfdb_label': '2100.j2', 'torsion': [6]}
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id: 106245
{'degree': 8, 'field': [121, 352, 800, 1062, 659, 78, -10, -2, 1], 'lmfdb_label': '2100.j2', 'torsion': [2, 4]}
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id: 106246
{'degree': 8, 'field': [1521, -1638, 2022, -810, 511, -130, 48, -4, 1], 'lmfdb_label': '2100.j2', 'torsion': [2, 4]}
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id: 106248
{'degree': 16, 'field': [-36122319, 162826200, 125855496, 46626120, 16494000, -342360, -2780256, -1393440, -485726, -69480, 7304, 4680, 960, -120, -64, 0, 1], 'lmfdb_label': '2100.j2', 'torsion': [8]}
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id: 106249
{'degree': 16, 'field': [61296, -203328, 330468, -371384, 313440, -184568, 68672, -17696, 8555, -7006, 4286, -2074, 784, -178, 34, -6, 1], 'lmfdb_label': '2100.j2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 34717
{'conductor': 2100, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '2100.j2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 34718
{'conductor': 2100, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '2100.j2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
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id: 34719
{'conductor': 2100, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '2100.j2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 34720
{'conductor': 2100, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2100.j2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1677612
{'adelic_gens': [[281, 4, 142, 9], [1, 2, 2, 5], [1, 4, 0, 1], [62, 1, 179, 0], [417, 4, 416, 5], [1, 0, 4, 1], [109, 316, 104, 315], [3, 4, 8, 11], [88, 1, 83, 0]], 'adelic_image': '420.12.0.?', 'conductor': 2100, 'lmfdb_label': '2100.j2', 'prime': 0}
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id: 10269
{'conductor': 2100, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2100.j2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 2100.j does not appear in ec_padic