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ec_curvedata • Show schema
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{'Ciso': '1430g', 'Clabel': '1430g3', 'Cnumber': 3, 'abc_quality': 1.0122914741654505, 'absD': 26547449500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 17160, 'ainvs': [1, 0, 0, -1436, -22484], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1430, 'degree': 2304, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74642967373381816965462649107', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-327495950129089, 26547449500], 'lmfdb_iso': '1430.f', 'lmfdb_label': '1430.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1436, -22484], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '104.6.0.?', '110.6.0.?', '312.48.0.?', '330.48.0.?', '5720.12.0.?', '17160.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 55], [3, 2, 22], [5, 6, 286], [11, 12, 130], [13, 14, 110]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74642967373381816965462649107', 'prec': 103}, 'szpiro_ratio': 4.618252756694491, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -2, 1, -1, -2, -4, 1, 1, -1, 1, -2, 1, -4, 2, 1, -6, 1, 8, -1], 'aplist': [1, -2, -1, -4, 1, 1, -6, 8, 0, 0, -4, 2, 12, 8, 6, -12, 12, 8, 8, -12, -10, -4, 12, 6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 1430, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '1430.f', 'trace_hash': 890484030947608305}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.22472915723859572730201618787', 'prec': 103}, 'conductor': 1430, 'gens': [], 'heights': [], 'lmfdb_label': '1430.f2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.38598267402377787130632309611', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1579480220713336139189692883414212805', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[44, -22, 1]], 'xcoord_integral_points': [44]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': [2, 1], '5': [0, 0], '11': [1, 0], '13': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '1430.f2'}
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ec_torsion_growth • Show schema
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id: 71337
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '1430.f2', 'torsion': [6]}
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id: 71336
{'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '1430.f2', 'torsion': [2, 2]}
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id: 71338
{'degree': 3, 'field': [13, -7, -1, 1], 'lmfdb_label': '1430.f2', 'torsion': [6]}
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id: 71339
{'degree': 4, 'field': [-17, -52, -20, 0, 1], 'lmfdb_label': '1430.f2', 'torsion': [4]}
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id: 71340
{'degree': 4, 'field': [196, -14, -13, -1, 1], 'lmfdb_label': '1430.f2', 'torsion': [2, 6]}
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id: 71341
{'degree': 6, 'field': [75, 0, -29, 0, 1, 0, 1], 'lmfdb_label': '1430.f2', 'torsion': [3, 6]}
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id: 71342
{'degree': 6, 'field': [169, 104, 45, 18, 9, -2, 1], 'lmfdb_label': '1430.f2', 'torsion': [2, 6]}
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id: 71345
{'degree': 8, 'field': [289, -884, 2364, -1040, 417, -104, 20, 0, 1], 'lmfdb_label': '1430.f2', 'torsion': [12]}
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id: 71343
{'degree': 8, 'field': [10816, 0, 5552, 0, 844, 0, -27, 0, 1], 'lmfdb_label': '1430.f2', 'torsion': [2, 4]}
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id: 71344
{'degree': 8, 'field': [18496, -17408, 11448, -6760, 1866, -140, 13, -2, 1], 'lmfdb_label': '1430.f2', 'torsion': [2, 4]}
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id: 71347
{'degree': 12, 'field': [-121840, -153440, -34704, 134496, -22952, -6352, -10816, -1024, 2252, 176, -82, -4, 1], 'lmfdb_label': '1430.f2', 'torsion': [12]}
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id: 71346
{'degree': 12, 'field': [28561, 17576, 3211, -1404, -1368, -1400, 465, 446, 72, -54, -5, -2, 1], 'lmfdb_label': '1430.f2', 'torsion': [6, 6]}
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id: 71348
{'degree': 16, 'field': [926831, -20671048, 83666824, -465104, 7723094, -8352240, -4748780, 1008120, 940040, -30696, -32768, 2912, 2482, -96, -28, -8, 1], 'lmfdb_label': '1430.f2', 'torsion': [8]}
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id: 71349
{'degree': 16, 'field': [116985856, 0, -60050432, 0, 21696000, 0, -5269952, 0, 851424, 0, 33892, 0, -115, 0, 27, 0, 1], 'lmfdb_label': '1430.f2', 'torsion': [2, 12]}
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id: 71350
{'degree': 16, 'field': [1378562641, -1424862504, 683531044, -199094688, 32223210, 1872312, -1109696, -479232, 347307, -118248, 28096, -1872, -358, 0, 12, 0, 1], 'lmfdb_label': '1430.f2', 'torsion': [2, 12]}
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id: 71351
{'degree': 18, 'field': [7256313856, 0, 0, -502244864, 0, 0, 44644160, 0, 0, 550000, 0, 0, 23060, 0, 0, -134, 0, 0, 1], 'lmfdb_label': '1430.f2', 'torsion': [18]}
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ec_localdata • Show schema
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id: 21868
{'conductor': 1430, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1430.f2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 21869
{'conductor': 1430, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1430.f2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 21870
{'conductor': 1430, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1430.f2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 21871
{'conductor': 1430, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1430.f2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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ec_galrep • Show schema
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id: 1673506
{'adelic_gens': [[11441, 12, 2860, 1], [9370, 3, 12453, 17152], [1, 0, 12, 1], [11, 2, 17110, 17151], [1, 6, 6, 37], [7875, 5008, 7838, 4997], [17149, 12, 17148, 13], [1, 12, 0, 1], [10, 3, 13701, 17152], [2641, 12, 15846, 73], [8581, 12, 6, 73]], 'adelic_image': '17160.96.1.?', 'conductor': 1430, 'lmfdb_label': '1430.f2', 'prime': 0}
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id: 6900
{'conductor': 1430, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1430.f2', 'modell_image': '2B', 'prime': 2}
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id: 6901
{'conductor': 1430, 'elladic_image': '3.8.0.2', 'lmfdb_label': '1430.f2', 'modell_image': '3B.1.2', 'prime': 3}
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lmfdb_iso 1430.f does not appear in ec_padic