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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, 1, 0, -2, -1, 0, 1, -2, 0, -4, -1], 'aplist': [-1, 0, -1, 1, 1, -2, -2, -4, -8, -6, 8, -2, -2, 4, -8, 10, 12, -2, -4, -8, 2, 16, 4, 14, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 6930, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '6930.d', 'trace_hash': 247264010993616605}
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lmfdb_iso 6930.d does not appear in ec_padic
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ec_curvedata • Show schema
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id: 44211
{'Ciso': '6930i', 'Clabel': '6930i3', 'Cnumber': 3, 'abc_quality': 1.052918061430929, 'absD': 70296053493980160, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [1, -1, 0, -802898370, -8756469168620], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 6930, 'degree': 1474560, 'elladic_images': ['8.24.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4067381360862716553938705120', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [78519570041710065450485106721, 96428056919040], 'lmfdb_iso': '6930.d', 'lmfdb_label': '6930.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -89210930, 324283935935], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '12.12.0-4.c.1.2', '20.12.0-4.c.1.1', '24.48.0-8.bb.2.5', '40.48.0-8.bb.2.6', '60.24.0-60.h.1.2', '112.48.0.?', '120.96.0.?', '336.96.0.?', '560.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8574319917522168096962478935', 'prec': 100}, 'szpiro_ratio': 8.268656920752786, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 44213
{'Ciso': '6930i', 'Clabel': '6930i5', 'Cnumber': 5, 'abc_quality': 1.0469757873672974, 'absD': 136749594175189255758405600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [1, -1, 0, -236147490, 1278495746356], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 6930, 'degree': 2949120, 'elladic_images': ['16.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7533117263662443101024865727', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1997773216431678333214187041, 187585177195046990066400], 'lmfdb_iso': '6930.d', 'lmfdb_label': '6930.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -26238610, -47360440513], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.12.0-4.c.1.1', '16.24.0.e.1', '24.24.0-8.n.1.10', '40.24.0-8.n.1.8', '48.48.0-16.e.1.14', '56.24.0.bh.1', '80.48.0.?', '112.48.0.?', '120.48.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2040055820321894644048639542', 'prec': 100}, 'szpiro_ratio': 7.853519594348481, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 44212
{'Ciso': '6930i', 'Clabel': '6930i4', 'Cnumber': 4, 'abc_quality': 1.0381720169836188, 'absD': 2604354625553361690240000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [1, -1, 0, -52439490, -123820900844], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 6930, 'degree': 1474560, 'elladic_images': ['8.24.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4067381360862716553938705120', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [21876183941534093095979041, 3572502915711058560000], 'lmfdb_iso': '6930.d', 'lmfdb_label': '6930.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5826610, 4584017087], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.2', '12.24.0-4.b.1.1', '24.48.0-8.e.2.1', '40.48.0-8.e.2.5', '56.48.0.n.1', '120.96.0.?', '168.96.0.?', '280.96.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8574319917522168096962478935', 'prec': 100}, 'szpiro_ratio': 7.343050759307701, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 44210
{'Ciso': '6930i', 'Clabel': '6930i2', 'Cnumber': 2, 'abc_quality': 1.0347968557718765, 'absD': 489731319715096166400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [1, -1, 0, -50181570, -136808005100], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 6930, 'degree': 737280, 'elladic_images': ['8.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0601645458062990006852544513', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [19170300594578891358373921, 671785075055001600], 'lmfdb_iso': '6930.d', 'lmfdb_label': '6930.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5575730, 5065104575], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.1', '12.24.0-4.b.1.3', '20.24.0-4.b.1.2', '24.48.0-8.e.1.9', '40.48.0-8.e.1.8', '56.48.0.r.1', '60.48.0-60.c.1.4', '120.96.0.?', '168.96.0.?', '280.96.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5108584014722441549876318328', 'prec': 100}, 'szpiro_ratio': 7.328120630051586, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 44209
{'Ciso': '6930i', 'Clabel': '6930i1', 'Cnumber': 1, 'abc_quality': 1.0143160179255784, 'absD': 641567822069272412160, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [1, -1, 0, -2995650, -2337570284], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 6930, 'degree': 368640, 'elladic_images': ['16.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7135909555263263459766383905', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-4078208988807294650401, 880065599546327040], 'lmfdb_iso': '6930.d', 'lmfdb_label': '6930.d5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -332850, 86465727], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.12.0-4.c.1.2', '16.24.0.e.2', '20.12.0-4.c.1.2', '24.24.0-8.n.1.12', '30.6.0.a.1', '40.24.0-8.n.1.12', '48.48.0-16.e.2.13', '56.24.0.bv.1', '60.24.0-60.g.1.4', '80.48.0.?', '112.48.0.?', '120.48.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1642848111922715002790157720', 'prec': 100}, 'szpiro_ratio': 6.407848077871705, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 44214
{'Ciso': '6930i', 'Clabel': '6930i6', 'Cnumber': 6, 'abc_quality': 1.054293821739854, 'absD': 263764555687303650787500000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [1, -1, 0, 95141790, -694989970700], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 6930, 'degree': 2949120, 'elladic_images': ['8.24.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7533117263662443101024865727', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [130650216943167617311657439, 361816948816603087500000], 'lmfdb_iso': '6930.d', 'lmfdb_label': '6930.d6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 10571310, 25743893055], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '12.12.0-4.c.1.1', '24.48.0-8.bb.1.1', '56.48.0.bn.1', '80.48.0.?', '168.96.0.?', '240.96.0.?', '560.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2040055820321894644048639542', 'prec': 100}, 'szpiro_ratio': 7.695654195961899, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
