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ec_curvedata • Show schema
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{'Ciso': '570e', 'Clabel': '570e4', 'Cnumber': 4, 'abc_quality': 0.957439047611507, 'absD': 311647500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [1, 0, 1, -448, 3506], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 570, 'degree': 512, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40468748195945160696423274870', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [9912050027641, 311647500], 'lmfdb_iso': '570.e', 'lmfdb_label': '570.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -448, 3506], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '40.24.0-40.z.1.4', '76.24.0.?', '760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 22, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.25163023607730268394667346034', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40468748195945160696423274870', 'prec': 103}, 'szpiro_ratio': 4.715803208035457, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, 1, -1, -4, -1, 1, -1, -4, 1, -6, 4, 1, 1, -6, -1, -1, 1], 'aplist': [-1, 1, 1, -4, -4, -6, -6, -1, 4, 6, -8, 2, 10, -8, 12, 2, -4, -2, -12, -16, -14, 8, 0, -6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 570, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '570.e', 'trace_hash': 2106612853958551819}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.44513620547977790474887614197', 'prec': 103}, 'conductor': 570, 'gens': [[7, 23, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.25163023607730268394667346034', 'prec': 103}], 'lmfdb_label': '570.e2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.7120662754682704149884599857', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7232305643042768528945848529800893118', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[25, 77, 1]], 'xcoord_integral_points': [-23, -20, -5, 7, 10, 15, 16, 25, 70, 115, 1375]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': [4, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '570.e2'}
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ec_torsion_growth • Show schema
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id: 25565
{'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '570.e2', 'torsion': [2, 4]}
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id: 25566
{'degree': 4, 'field': [76, 0, -18, 0, 1], 'lmfdb_label': '570.e2', 'torsion': [8]}
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id: 25570
{'degree': 8, 'field': [-768, 0, -208, 0, -96, 0, 0, 0, 1], 'lmfdb_label': '570.e2', 'torsion': [12]}
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id: 25569
{'degree': 8, 'field': [1, 0, -20, 0, 83, 0, -20, 0, 1], 'lmfdb_label': '570.e2', 'torsion': [2, 8]}
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id: 25567
{'degree': 8, 'field': [25, -10, 2, 14, -1, -10, 8, -4, 1], 'lmfdb_label': '570.e2', 'torsion': [4, 4]}
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id: 25568
{'degree': 8, 'field': [12996, 0, 7220, 0, 1653, 0, 0, 0, 1], 'lmfdb_label': '570.e2', 'torsion': [2, 8]}
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id: 25571
{'degree': 16, 'field': [33362176, 0, -136960512, 0, 97718368, 0, -17120064, 0, 1061340, 0, -42864, 0, 1978, 0, -72, 0, 1], 'lmfdb_label': '570.e2', 'torsion': [16]}
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id: 25572
{'degree': 16, 'field': [9142419456, 0, -2834030592, 0, 239348736, 0, -14017024, 0, 695936, 0, -29296, 0, 1081, 0, -38, 0, 1], 'lmfdb_label': '570.e2', 'torsion': [2, 12]}
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ec_localdata • Show schema
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id: 6527
{'conductor': 570, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '570.e2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 6528
{'conductor': 570, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '570.e2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 6529
{'conductor': 570, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '570.e2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 6530
{'conductor': 570, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '570.e2', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1668379
{'adelic_gens': [[457, 8, 308, 33], [99, 98, 298, 675], [1, 0, 8, 1], [753, 8, 752, 9], [7, 6, 754, 755], [1, 8, 0, 1], [1, 4, 4, 17], [84, 1, 103, 6], [288, 673, 313, 360]], 'adelic_image': '760.48.0.?', 'conductor': 570, 'lmfdb_label': '570.e2', 'prime': 0}
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id: 2530
{'conductor': 570, 'elladic_image': '4.12.0.7', 'lmfdb_label': '570.e2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 9247
{'lmfdb_iso': '570.e', 'p': 7, 'prec': 20, 'unit': 5663569984748286, 'val': 1}
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id: 9245
{'lmfdb_iso': '570.e', 'p': 11, 'prec': 20, 'unit': 30052218736501117543, 'val': 1}
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id: 9251
{'lmfdb_iso': '570.e', 'p': 13, 'prec': 20, 'unit': 745645352699536216613, 'val': 1}
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id: 9253
{'lmfdb_iso': '570.e', 'p': 17, 'prec': 20, 'unit': 45767168312994329677569, 'val': 1}
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id: 9258
{'lmfdb_iso': '570.e', 'p': 23, 'prec': 20, 'unit': 37907259897136540549300009, 'val': 1}
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id: 9250
{'lmfdb_iso': '570.e', 'p': 29, 'prec': 20, 'unit': 929293170776371774256916287, 'val': 1}
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id: 9263
{'lmfdb_iso': '570.e', 'p': 31, 'prec': 20, 'unit': 12976674060489505585701157528, 'val': 1}
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id: 9246
{'lmfdb_iso': '570.e', 'p': 37, 'prec': 20, 'unit': 417565952019588669257292148287, 'val': 1}
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id: 9248
{'lmfdb_iso': '570.e', 'p': 41, 'prec': 20, 'unit': 596919526459148040552372992986, 'val': 1}
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id: 9249
{'lmfdb_iso': '570.e', 'p': 43, 'prec': 20, 'unit': 9992879422479818171567859397056, 'val': 1}
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id: 9261
{'lmfdb_iso': '570.e', 'p': 47, 'prec': 20, 'unit': 31697961199633301334811455028031, 'val': 1}
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id: 9255
{'lmfdb_iso': '570.e', 'p': 53, 'prec': 20, 'unit': 45355546433202888326108941174530, 'val': 1}
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id: 9256
{'lmfdb_iso': '570.e', 'p': 59, 'prec': 20, 'unit': 1683344962272397706371823336362256, 'val': 1}
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id: 9262
{'lmfdb_iso': '570.e', 'p': 61, 'prec': 20, 'unit': 1352209043004686572077012355333069, 'val': 1}
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id: 9254
{'lmfdb_iso': '570.e', 'p': 67, 'prec': 20, 'unit': 32225611629853750803356121013537413, 'val': 1}
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id: 9260
{'lmfdb_iso': '570.e', 'p': 71, 'prec': 20, 'unit': 131267170796453077900712988986722020, 'val': 1}
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id: 9257
{'lmfdb_iso': '570.e', 'p': 73, 'prec': 20, 'unit': 224191565271736349219820376657847020, 'val': 1}
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id: 9252
{'lmfdb_iso': '570.e', 'p': 79, 'prec': 20, 'unit': 194538023319126003380538162914630033, 'val': 1}
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id: 9259
{'lmfdb_iso': '570.e', 'p': 89, 'prec': 20, 'unit': 1062145015002116436461880460350882852, 'val': 1}
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id: 9244
{'lmfdb_iso': '570.e', 'p': 97, 'prec': 20, 'unit': 28005729349250575113826192139853694975, 'val': 1}