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Results (29 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
663.a3 663.a \( 3 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/4\Z$ $2.975812071$ $[1, 1, 1, -544, 4496]$ \(y^2+xy+y=x^3+x^2-544x+4496\) 2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.1.10, 68.48.0-68.c.1.1, 104.96.0.?, $\ldots$ $[(79, 640)]$
1989.e3 1989.e \( 3^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.383965669$ $[1, -1, 0, -4896, -126293]$ \(y^2+xy=x^3-x^2-4896x-126293\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 12.24.0-4.b.1.3, 24.48.0-8.d.1.9, $\ldots$ $[(162, 1739)]$
8619.i3 8619.i \( 3 \cdot 13^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -91939, 10337800]$ \(y^2+xy=x^3+x^2-91939x+10337800\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.4, 52.24.0-4.b.1.3, 68.24.0.c.1, $\ldots$ $[ ]$
10608.p3 10608.p \( 2^{4} \cdot 3 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.163453998$ $[0, 1, 0, -8704, -305164]$ \(y^2=x^3+x^2-8704x-305164\) 2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.d.1.2, 68.48.0-68.c.1.2, 104.96.0.?, $\ldots$ $[(-49, 78)]$
11271.e3 11271.e \( 3 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.452023558$ $[1, 0, 0, -157222, 23190275]$ \(y^2+xy=x^3-157222x+23190275\) 2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.d.1.7, 68.48.0-68.c.1.4, 104.96.0.?, $\ldots$ $[(275, 740)]$
16575.i3 16575.i \( 3 \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -13601, 589223]$ \(y^2+xy+y=x^3-13601x+589223\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 20.24.0-4.b.1.3, 40.48.0-8.d.1.10, $\ldots$ $[ ]$
25857.f3 25857.f \( 3^{2} \cdot 13^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -827456, -279948054]$ \(y^2+xy+y=x^3-x^2-827456x-279948054\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 24.48.0-8.d.1.4, 68.24.0.c.1, $\ldots$ $[ ]$
31824.bg3 31824.bg \( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -78339, 8161090]$ \(y^2=x^3-78339x+8161090\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 12.24.0-4.b.1.1, 24.48.0-8.d.1.1, $\ldots$ $[ ]$
32487.f3 32487.f \( 3 \cdot 7^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.642679484$ $[1, 0, 0, -26657, -1622160]$ \(y^2+xy=x^3-26657x-1622160\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 28.24.0-4.b.1.3, 56.48.0-8.d.1.9, $\ldots$ $[(-83, 184)]$
33813.i3 33813.i \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $10.09880339$ $[1, -1, 0, -1414998, -626137425]$ \(y^2+xy=x^3-x^2-1414998x-626137425\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 12.24.0-4.b.1.2, 24.48.0-8.d.1.8, $\ldots$ $[(111262/9, 2800333/9)]$
42432.bb3 42432.bb \( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $8.878227211$ $[0, -1, 0, -34817, -2406495]$ \(y^2=x^3-x^2-34817x-2406495\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.9, 68.24.0.c.1, 104.96.0.?, $\ldots$ $[(22753/8, 2805425/8)]$
42432.cf3 42432.cf \( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.593207050$ $[0, 1, 0, -34817, 2406495]$ \(y^2=x^3+x^2-34817x+2406495\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.1, 68.24.0.c.1, 104.96.0.?, $\ldots$ $[(-165, 1920)]$
49725.f3 49725.f \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.750552988$ $[1, -1, 1, -122405, -15909028]$ \(y^2+xy+y=x^3-x^2-122405x-15909028\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 60.24.0-4.b.1.3, 68.24.0.c.1, $\ldots$ $[(-222, 646)]$
80223.j3 80223.j \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -65826, -6313545]$ \(y^2+xy=x^3+x^2-65826x-6313545\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 44.24.0-4.b.1.3, 68.24.0.c.1, $\ldots$ $[ ]$
97461.q3 97461.q \( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -239913, 43798320]$ \(y^2+xy=x^3-x^2-239913x+43798320\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 68.24.0.c.1, 84.24.0.?, $\ldots$ $[ ]$
127296.u3 127296.u \( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.982686918$ $[0, 0, 0, -313356, 65288720]$ \(y^2=x^3-313356x+65288720\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 24.48.0-8.d.1.10, 68.24.0.c.1, $\ldots$ $[(32, 7436)]$
127296.bb3 127296.bb \( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -313356, -65288720]$ \(y^2=x^3-313356x-65288720\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 24.48.0-8.d.1.2, 68.24.0.c.1, $\ldots$ $[ ]$
137904.cv3 137904.cv \( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -1471032, -664561260]$ \(y^2=x^3+x^2-1471032x-664561260\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.12, 52.24.0-4.b.1.1, 68.24.0.c.1, $\ldots$ $[ ]$
146523.y3 146523.y \( 3 \cdot 13^{2} \cdot 17^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -26570522, 50975604695]$ \(y^2+xy+y=x^3-26570522x+50975604695\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.13, 52.24.0-4.b.1.2, 68.24.0.c.1, $\ldots$ $[ ]$
180336.bg3 180336.bg \( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $8.575038807$ $[0, -1, 0, -2515552, -1484177600]$ \(y^2=x^3-x^2-2515552x-1484177600\) 2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.d.1.15, 68.48.0-68.c.1.3, 104.96.0.?, $\ldots$ $[(-20424/5, 625024/5)]$
215475.t3 215475.t \( 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 0, -2298488, 1296821967]$ \(y^2+xy=x^3-2298488x+1296821967\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 40.48.0-8.d.1.3, 68.24.0.c.1, $\ldots$ $[ ]$
239343.f3 239343.f \( 3 \cdot 13 \cdot 17 \cdot 19^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -196392, -32410415]$ \(y^2+xy+y=x^3-196392x-32410415\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 68.24.0.c.1, 76.24.0.?, $\ldots$ $[ ]$
240669.p3 240669.p \( 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -592439, 169873278]$ \(y^2+xy+y=x^3-x^2-592439x+169873278\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 68.24.0.c.1, 104.48.0.?, $\ldots$ $[ ]$
265200.bo3 265200.bo \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -217608, -37710288]$ \(y^2=x^3-x^2-217608x-37710288\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 20.24.0-4.b.1.1, 40.48.0-8.d.1.2, $\ldots$ $[ ]$
281775.bm3 281775.bm \( 3 \cdot 5^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $7.247943812$ $[1, 1, 0, -3930550, 2898784375]$ \(y^2+xy=x^3+x^2-3930550x+2898784375\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 20.24.0-4.b.1.2, 40.48.0-8.d.1.7, $\ldots$ $[(3871/2, 8783/2)]$
350727.c3 350727.c \( 3 \cdot 13 \cdot 17 \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.989928526$ $[1, 1, 1, -287787, -57582864]$ \(y^2+xy+y=x^3+x^2-287787x-57582864\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 68.24.0.c.1, 92.24.0.?, $\ldots$ $[(698, 8718)]$
413712.bb3 413712.bb \( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.168192477$ $[0, 0, 0, -13239291, 17929914730]$ \(y^2=x^3-13239291x+17929914730\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 24.48.0-8.d.1.12, 68.24.0.c.1, $\ldots$ $[(1322, 52326)]$
422331.bq3 422331.bq \( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.243369831$ $[1, 0, 1, -4505037, -3559380485]$ \(y^2+xy+y=x^3-4505037x-3559380485\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 56.48.0-8.d.1.4, 68.24.0.c.1, $\ldots$ $[(-1339, 9189)]$
439569.z3 439569.z \( 3^{2} \cdot 13^{2} \cdot 17^{2} \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $76.50167907$ $[1, -1, 1, -239134694, -1376341326772]$ \(y^2+xy+y=x^3-x^2-239134694x-1376341326772\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 24.48.0-8.d.1.13, 68.24.0.c.1, $\ldots$ $[(24931, 2843634), (247207276/113, 1599242959055/113)]$
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