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Results (31 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
1365.a2 1365.a \( 3 \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[1, 1, 1, -46850, 3883592]$ \(y^2+xy+y=x^3+x^2-46850x+3883592\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 120.48.0.?, 156.24.0.?, $\ldots$ $[ ]$
4095.k2 4095.k \( 3^{2} \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -421650, -105278639]$ \(y^2+xy=x^3-x^2-421650x-105278639\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$ $[ ]$
6825.k2 6825.k \( 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -1171251, 487791523]$ \(y^2+xy+y=x^3-1171251x+487791523\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.2, 24.24.0-8.n.1.4, $\ldots$ $[ ]$
9555.d2 9555.d \( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $4.451007433$ $[1, 0, 0, -2295651, -1338959070]$ \(y^2+xy=x^3-2295651x-1338959070\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.2, 48.24.0-8.n.1.5, $\ldots$ $[(-874, 494)]$
17745.r2 17745.r \( 3 \cdot 5 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $3.343241192$ $[1, 1, 0, -7917653, 8571840282]$ \(y^2+xy=x^3+x^2-7917653x+8571840282\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.5, $\ldots$ $[(2566, 70542)]$
20475.d2 20475.d \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -10541255, -13170371128]$ \(y^2+xy+y=x^3-x^2-10541255x-13170371128\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 60.12.0-4.c.1.2, 120.48.0.?, $\ldots$ $[ ]$
21840.by2 21840.by \( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $1.661212596$ $[0, 1, 0, -749600, -250049100]$ \(y^2=x^3+x^2-749600x-250049100\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 120.48.0.?, 156.24.0.?, $\ldots$ $[(-500, 30)]$
28665.bn2 28665.bn \( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -20660859, 36151894890]$ \(y^2+xy=x^3-x^2-20660859x+36151894890\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 84.12.0.?, $\ldots$ $[ ]$
47775.cv2 47775.cv \( 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $29.37825008$ $[1, 1, 0, -57391275, -167369883750]$ \(y^2+xy=x^3+x^2-57391275x-167369883750\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.8, 120.24.0.?, $\ldots$ $[(26460783601625/22592, 134273424808192388675/22592)]$
53235.n2 53235.n \( 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $10.07366345$ $[1, -1, 1, -71258882, -231510946494]$ \(y^2+xy+y=x^3-x^2-71258882x-231510946494\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 120.48.0.?, 156.24.0.?, $\ldots$ $[(986359/6, 923168941/6)]$
65520.y2 65520.y \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -6746403, 6744579298]$ \(y^2=x^3-6746403x+6744579298\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$ $[ ]$
87360.x2 87360.x \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2998401, -1997394399]$ \(y^2=x^3-x^2-2998401x-1997394399\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 120.48.0.?, 156.12.0.?, $\ldots$ $[ ]$
87360.em2 87360.em \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $0.458086553$ $[0, 1, 0, -2998401, 1997394399]$ \(y^2=x^3+x^2-2998401x+1997394399\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 120.48.0.?, 156.12.0.?, $\ldots$ $[(987, 672)]$
88725.q2 88725.q \( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $0.778603906$ $[1, 0, 0, -197941338, 1071875917917]$ \(y^2+xy=x^3-197941338x+1071875917917\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 60.12.0-4.c.1.1, 120.48.0.?, $\ldots$ $[(7707, 60459)]$
109200.bw2 109200.bw \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $4.086107370$ $[0, -1, 0, -18740008, -31218657488]$ \(y^2=x^3-x^2-18740008x-31218657488\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.1, 24.24.0-8.n.1.8, $\ldots$ $[(8522, 654150)]$
124215.cp2 124215.cp \( 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -387965023, -2941305111769]$ \(y^2+xy+y=x^3-387965023x-2941305111769\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 84.12.0.?, $\ldots$ $[ ]$
143325.y2 143325.y \( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -516521480, 4518470339772]$ \(y^2+xy+y=x^3-x^2-516521480x+4518470339772\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0-8.n.1.6, 56.24.0-8.n.1.7, $\ldots$ $[ ]$
152880.f2 152880.f \( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $5.162661656$ $[0, -1, 0, -36730416, 85693380480]$ \(y^2=x^3-x^2-36730416x+85693380480\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.1, 48.24.0-8.n.1.4, $\ldots$ $[(3506, 358)]$
165165.br2 165165.br \( 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $9.068211652$ $[1, 1, 0, -5668852, -5197405451]$ \(y^2+xy=x^3+x^2-5668852x-5197405451\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$ $[(-197963/12, 946003/12)]$
262080.hj2 262080.hj \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) $2$ $\Z/2\Z$ $17.59977356$ $[0, 0, 0, -26985612, 53956634384]$ \(y^2=x^3-26985612x+53956634384\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.11, 40.24.0-8.n.1.3, $\ldots$ $[(3008, 700), (3040, 3852)]$
262080.mz2 262080.mz \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -26985612, -53956634384]$ \(y^2=x^3-26985612x-53956634384\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.9, 40.24.0-8.n.1.7, $\ldots$ $[ ]$
266175.eb2 266175.eb \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $7.450431888$ $[1, -1, 0, -1781472042, -28940649783759]$ \(y^2+xy=x^3-x^2-1781472042x-28940649783759\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.1, 24.24.0-8.n.1.8, $\ldots$ $[(8996589/4, 26888306697/4)]$
283920.ge2 283920.ge \( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -126682456, -548851142956]$ \(y^2=x^3+x^2-126682456x-548851142956\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.1, $\ldots$ $[ ]$
327600.na2 327600.na \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -168660075, 843072412250]$ \(y^2=x^3-168660075x+843072412250\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 60.12.0-4.c.1.1, 120.48.0.?, $\ldots$ $[ ]$
372645.bm2 372645.bm \( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $5.096499306$ $[1, -1, 1, -3491685203, 79415238017756]$ \(y^2+xy+y=x^3-x^2-3491685203x+79415238017756\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.1, 48.24.0-8.n.1.5, $\ldots$ $[(12750, 6073822)]$
394485.q2 394485.q \( 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $2.525273935$ $[1, 0, 0, -13539656, 19174865961]$ \(y^2+xy=x^3-13539656x+19174865961\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 68.12.0-4.c.1.2, 120.24.0.?, $\ldots$ $[(2200, 4969)]$
436800.bf2 436800.bf \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $2$ $\Z/2\Z$ $10.60791546$ $[0, -1, 0, -74960033, 249824219937]$ \(y^2=x^3-x^2-74960033x+249824219937\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.7, 40.24.0-8.n.1.6, $\ldots$ $[(5097, 12000), (5032, 3925)]$
436800.tz2 436800.tz \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $4.768316542$ $[0, 1, 0, -74960033, -249824219937]$ \(y^2=x^3+x^2-74960033x-249824219937\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.3, 40.24.0-8.n.1.2, $\ldots$ $[(-4991, 24)]$
458640.ng2 458640.ng \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $9.186417540$ $[0, 0, 0, -330573747, -2313390699214]$ \(y^2=x^3-330573747x-2313390699214\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 84.12.0.?, $\ldots$ $[(33167, 4817450)]$
492765.bv2 492765.bv \( 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19^{2} \) $1$ $\Z/2\Z$ $4.571065304$ $[1, 0, 1, -16912858, -26772861607]$ \(y^2+xy+y=x^3-16912858x-26772861607\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 76.12.0.?, 120.24.0.?, $\ldots$ $[(-38003/4, 96113/4)]$
495495.u2 495495.u \( 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $5.660923387$ $[1, -1, 1, -51019673, 140278927506]$ \(y^2+xy+y=x^3-x^2-51019673x+140278927506\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 120.24.0.?, 132.12.0.?, $\ldots$ $[(20879/2, 996243/2)]$
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