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ec_curvedata • Show schema
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{'Ciso': '2310f', 'Clabel': '2310f1', 'Cnumber': 1, 'abc_quality': 0.9270883241516114, 'absD': 2993760000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [1, 0, 1, 256, 2126], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2310, 'degree': 1280, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.50347943990676767896732912561', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [1865864036231, 2993760000], 'lmfdb_iso': '2310.f', 'lmfdb_label': '2310.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 256, 2126], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '40.12.0-4.c.1.5', '120.24.0.?', '308.12.0.?', '462.6.0.?', '924.24.0.?', '3080.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.53070154292206142797040073253', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50347943990676767896732912561', 'prec': 103}, 'szpiro_ratio': 3.722034722585572, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -2, 1, -1, 1, -2, -1, 4, -1], 'aplist': [-1, 1, -1, -1, 1, -2, -2, 4, -4, -6, -4, -2, 10, 4, -8, -6, -4, -2, -12, -8, 2, 4, 0, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 2310, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '2310.f', 'trace_hash': 1215771082011633382}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.36532829919478799807093159326', 'prec': 103}, 'conductor': 2310, 'gens': [[9, 67, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.53070154292206142797040073253', 'prec': 103}], 'lmfdb_label': '2310.f4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.97208984313206477442524232568', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5794478980452571715261637859032260821', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [[-7, 3, 1]], 'xcoord_integral_points': [-7, -6, 9, 18, 393]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': [20, 0], '5': [1, 0], '7': [1, 0], '11': [2, 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': '2310.f4'}
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ec_torsion_growth • Show schema
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id: 117255
{'degree': 2, 'field': [-19, -1, 1], 'lmfdb_label': '2310.f4', 'torsion': [4]}
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id: 117256
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '2310.f4', 'torsion': [4]}
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id: 117254
{'degree': 2, 'field': [58, -1, 1], 'lmfdb_label': '2310.f4', 'torsion': [2, 2]}
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id: 117257
{'degree': 4, 'field': [361, 19, 20, -1, 1], 'lmfdb_label': '2310.f4', 'torsion': [2, 4]}
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id: 117261
{'degree': 8, 'field': [-5240, -3883, 3610, 545, -269, -7, 7, -4, 1], 'lmfdb_label': '2310.f4', 'torsion': [6]}
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id: 117260
{'degree': 8, 'field': [121, 154, 361, -254, 208, -2, -11, -2, 1], 'lmfdb_label': '2310.f4', 'torsion': [8]}
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id: 117258
{'degree': 8, 'field': [3364, 116, 694, 1154, 805, 2, 4, -4, 1], 'lmfdb_label': '2310.f4', 'torsion': [2, 4]}
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id: 117259
{'degree': 8, 'field': [5776, 0, -1676, 0, 237, 0, -59, 0, 1], 'lmfdb_label': '2310.f4', 'torsion': [8]}
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id: 117266
{'degree': 16, 'field': [-18840272, -40123072, 19670024, -16286160, -12707068, 10584178, -5663723, 802374, -225983, -142068, 52237, -7444, 653, 396, -67, -2, 1], 'lmfdb_label': '2310.f4', 'torsion': [12]}
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id: 117267
{'degree': 16, 'field': [13456, -19024, 4392, -18128, 24944, -2106, -2039, -2638, 1251, 296, 79, -198, 47, -14, 9, -4, 1], 'lmfdb_label': '2310.f4', 'torsion': [12]}
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id: 117264
{'degree': 16, 'field': [1713481, 4636478, 13575947, -91014, 4230977, 751012, 626326, 25584, 70090, -55776, 8470, -4204, 1145, -150, 35, -2, 1], 'lmfdb_label': '2310.f4', 'torsion': [2, 8]}
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id: 117262
{'degree': 16, 'field': [11316496, -390224, 6728, -1520760, 386168, -58012, 103954, -38526, 11257, -2670, 1864, -710, 131, -12, 8, -4, 1], 'lmfdb_label': '2310.f4', 'torsion': [4, 4]}
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id: 117263
{'degree': 16, 'field': [33362176, 0, 9680576, 0, 1440064, 0, -284356, 0, -48491, 0, 10631, 0, 3244, 0, 59, 0, 1], 'lmfdb_label': '2310.f4', 'torsion': [2, 8]}
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id: 117265
{'degree': 16, 'field': [47533534444, 49499656525, 19502200014, -10602159073, -287809357, 654739305, -207021341, 44990056, 2151315, -2046509, 522784, -97149, 9893, -913, 87, -2, 1], 'lmfdb_label': '2310.f4', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 38789
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '2310.f4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 38790
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '2310.f4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 38791
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2310.f4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 38792
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2310.f4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 38793
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2310.f4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1678909
{'adelic_gens': [[2644, 1, 1343, 6], [9233, 8, 9232, 9], [1, 0, 8, 1], [844, 1, 2543, 6], [1, 8, 0, 1], [3088, 3, 3085, 2], [1, 4, 4, 17], [5779, 5778, 8098, 3475], [7, 6, 9234, 9235], [8089, 8088, 3478, 8095], [3697, 8, 5548, 33]], 'adelic_image': '9240.48.0.?', 'conductor': 2310, 'lmfdb_label': '2310.f4', 'prime': 0}
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id: 11320
{'conductor': 2310, 'elladic_image': '4.6.0.1', 'lmfdb_label': '2310.f4', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 69653
{'lmfdb_iso': '2310.f', 'p': 13, 'prec': 20, 'unit': 37499589381664018731, 'val': 1}
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id: 69655
{'lmfdb_iso': '2310.f', 'p': 17, 'prec': 20, 'unit': 88299458366452594484517, 'val': 1}
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id: 69656
{'lmfdb_iso': '2310.f', 'p': 19, 'prec': 20, 'unit': 1864943266765509265753255, 'val': 1}
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id: 69660
{'lmfdb_iso': '2310.f', 'p': 23, 'prec': 20, 'unit': 3718463631912663212829583, 'val': 1}
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id: 69652
{'lmfdb_iso': '2310.f', 'p': 29, 'prec': 20, 'unit': 1581519905257324943097567392, 'val': 1}
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id: 69664
{'lmfdb_iso': '2310.f', 'p': 31, 'prec': 20, 'unit': 7786582816261365519063334302, 'val': 1}
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id: 69648
{'lmfdb_iso': '2310.f', 'p': 37, 'prec': 20, 'unit': 118992153120546806743257855778, 'val': 1}
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id: 69650
{'lmfdb_iso': '2310.f', 'p': 41, 'prec': 20, 'unit': 1675521781942495597045128045668, 'val': 1}
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id: 69651
{'lmfdb_iso': '2310.f', 'p': 43, 'prec': 20, 'unit': 5416932914124849588841637803085, 'val': 1}
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id: 69662
{'lmfdb_iso': '2310.f', 'p': 47, 'prec': 20, 'unit': 25955728667824080474135516924393, 'val': 1}
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id: 69657
{'lmfdb_iso': '2310.f', 'p': 53, 'prec': 20, 'unit': 185798072000602462028050020211715, 'val': 1}
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id: 69658
{'lmfdb_iso': '2310.f', 'p': 59, 'prec': 20, 'unit': 3354780678462698469673241542200832, 'val': 1}
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id: 69663
{'lmfdb_iso': '2310.f', 'p': 61, 'prec': 20, 'unit': 5302672225293981825825715168950165, 'val': 1}
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id: 69647
{'lmfdb_iso': '2310.f', 'p': 67, 'prec': 20, 'unit': 10865913447442369879747855767951294, 'val': 1}
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id: 69649
{'lmfdb_iso': '2310.f', 'p': 71, 'prec': 20, 'unit': 110812295162733920719691430861644419, 'val': 1}
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id: 69659
{'lmfdb_iso': '2310.f', 'p': 73, 'prec': 20, 'unit': 96383797952402686027250413513187755, 'val': 1}
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id: 69654
{'lmfdb_iso': '2310.f', 'p': 79, 'prec': 20, 'unit': 487877394724840868701669401029650947, 'val': 1}
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id: 69661
{'lmfdb_iso': '2310.f', 'p': 89, 'prec': 20, 'unit': 3892134799262186528490832287188244884, 'val': 1}
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id: 69646
{'lmfdb_iso': '2310.f', 'p': 97, 'prec': 20, 'unit': 19938153225962878285445923374315158658, 'val': 1}