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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.a2 663.a \( 3 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.487906035$ $[1, 1, 1, -1389, -14094]$ \(y^2+xy+y=x^3+x^2-1389x-14094\) 2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.d.2.2, 52.48.0-52.c.1.2, 104.96.0.?, $\ldots$ $[(-27, 81)]$
1989.e2 1989.e \( 3^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.767931338$ $[1, -1, 0, -12501, 368032]$ \(y^2+xy=x^3-x^2-12501x+368032\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 12.24.0-4.b.1.1, 24.48.0-8.d.2.1, $\ldots$ $[(2709/4, 106967/4)]$
8619.i2 8619.i \( 3 \cdot 13^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -234744, -29790405]$ \(y^2+xy=x^3+x^2-234744x-29790405\) 2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.d.2.15, 52.48.0-52.c.1.3, 104.96.0.?, $\ldots$ $[ ]$
10608.p2 10608.p \( 2^{4} \cdot 3 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/4\Z$ $2.326907997$ $[0, 1, 0, -22224, 857556]$ \(y^2=x^3+x^2-22224x+857556\) 2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.2.1, 52.48.0-52.c.1.1, 104.96.0.?, $\ldots$ $[(140, 714)]$
11271.e2 11271.e \( 3 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.904047116$ $[1, 0, 0, -401427, -66432960]$ \(y^2+xy=x^3-401427x-66432960\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.3, 52.24.0.c.1, 68.24.0-4.b.1.1, $\ldots$ $[(4032, 250704)]$
16575.i2 16575.i \( 3 \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -34726, -1692277]$ \(y^2+xy+y=x^3-34726x-1692277\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0-4.b.1.1, 40.48.0-8.d.2.2, $\ldots$ $[ ]$
25857.f2 25857.f \( 3^{2} \cdot 13^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -2112701, 802228236]$ \(y^2+xy+y=x^3-x^2-2112701x+802228236\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 12.24.0-4.b.1.2, 24.48.0-8.d.2.16, $\ldots$ $[ ]$
31824.bg2 31824.bg \( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -200019, -23354030]$ \(y^2=x^3-200019x-23354030\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 12.24.0-4.b.1.3, 24.48.0-8.d.2.2, $\ldots$ $[ ]$
32487.f2 32487.f \( 3 \cdot 7^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.821339742$ $[1, 0, 0, -68062, 4629995]$ \(y^2+xy=x^3-68062x+4629995\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 28.24.0-4.b.1.1, 52.24.0.c.1, $\ldots$ $[(-1, 2168)]$
33813.i2 33813.i \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $20.19760679$ $[1, -1, 0, -3612843, 1793689920]$ \(y^2+xy=x^3-x^2-3612843x+1793689920\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 24.48.0-8.d.2.4, 52.24.0.c.1, $\ldots$ $[(1718988565/1044, 3769601109245/1044)]$
42432.bb2 42432.bb \( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.439113605$ $[0, -1, 0, -88897, 6949345]$ \(y^2=x^3-x^2-88897x+6949345\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.6, 52.24.0.c.1, 104.96.0.?, $\ldots$ $[(1335, 47600)]$
42432.cf2 42432.cf \( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.796603525$ $[0, 1, 0, -88897, -6949345]$ \(y^2=x^3+x^2-88897x-6949345\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.5, 52.24.0.c.1, 104.96.0.?, $\ldots$ $[(-94, 765)]$
49725.f2 49725.f \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.375276494$ $[1, -1, 1, -312530, 45691472]$ \(y^2+xy+y=x^3-x^2-312530x+45691472\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 52.24.0.c.1, 60.24.0-4.b.1.1, $\ldots$ $[(484, 2520)]$
80223.j2 80223.j \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -168071, 17918520]$ \(y^2+xy=x^3+x^2-168071x+17918520\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 44.24.0-4.b.1.1, 52.24.0.c.1, $\ldots$ $[ ]$
97461.q2 97461.q \( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -612558, -125009865]$ \(y^2+xy=x^3-x^2-612558x-125009865\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 52.24.0.c.1, 84.24.0.?, $\ldots$ $[ ]$
127296.u2 127296.u \( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $5.965373837$ $[0, 0, 0, -800076, -186832240]$ \(y^2=x^3-800076x-186832240\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 24.48.0-8.d.2.5, 52.24.0.c.1, $\ldots$ $[(-256, 1100)]$
127296.bb2 127296.bb \( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -800076, 186832240]$ \(y^2=x^3-800076x+186832240\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 24.48.0-8.d.2.6, 52.24.0.c.1, $\ldots$ $[ ]$
137904.cv2 137904.cv \( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -3755912, 1899074100]$ \(y^2=x^3+x^2-3755912x+1899074100\) 2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.d.2.16, 52.48.0-52.c.1.4, 104.96.0.?, $\ldots$ $[ ]$
146523.y2 146523.y \( 3 \cdot 13^{2} \cdot 17^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -67841167, -145885371955]$ \(y^2+xy+y=x^3-67841167x-145885371955\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.14, 52.24.0.c.1, 68.24.0-4.b.1.2, $\ldots$ $[ ]$
180336.bg2 180336.bg \( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.287519403$ $[0, -1, 0, -6422832, 4251709440]$ \(y^2=x^3-x^2-6422832x+4251709440\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.4, 52.24.0.c.1, 68.24.0-4.b.1.3, $\ldots$ $[(72, 61560)]$
215475.t2 215475.t \( 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 0, -5868613, -3712063408]$ \(y^2+xy=x^3-5868613x-3712063408\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0-4.b.1.2, 40.48.0-8.d.2.15, $\ldots$ $[ ]$
239343.f2 239343.f \( 3 \cdot 13 \cdot 17 \cdot 19^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -501437, 92658035]$ \(y^2+xy+y=x^3-501437x+92658035\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 52.24.0.c.1, 76.24.0.?, $\ldots$ $[ ]$
240669.p2 240669.p \( 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -1512644, -485312682]$ \(y^2+xy+y=x^3-x^2-1512644x-485312682\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 52.24.0.c.1, 104.48.0.?, $\ldots$ $[ ]$
265200.bo2 265200.bo \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -555608, 108305712]$ \(y^2=x^3-x^2-555608x+108305712\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0-4.b.1.3, 40.48.0-8.d.2.1, $\ldots$ $[ ]$
281775.bm2 281775.bm \( 3 \cdot 5^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $14.49588762$ $[1, 1, 0, -10035675, -8304120000]$ \(y^2+xy=x^3+x^2-10035675x-8304120000\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 40.48.0-8.d.2.3, 52.24.0.c.1, $\ldots$ $[(-14237001/74, 6567254775/74)]$
350727.c2 350727.c \( 3 \cdot 13 \cdot 17 \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $9.979857052$ $[1, 1, 1, -734792, 164131616]$ \(y^2+xy+y=x^3+x^2-734792x+164131616\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 52.24.0.c.1, 92.24.0.?, $\ldots$ $[(63415/9, 5791508/9)]$
413712.bb2 413712.bb \( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $8.336384955$ $[0, 0, 0, -33803211, -51308803910]$ \(y^2=x^3-33803211x-51308803910\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 12.24.0-4.b.1.2, 24.48.0-8.d.2.15, $\ldots$ $[(41769/2, 6855485/2)]$
422331.bq2 422331.bq \( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.121684915$ $[1, 0, 1, -11502482, 10183601495]$ \(y^2+xy+y=x^3-11502482x+10183601495\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 28.24.0-4.b.1.2, 52.24.0.c.1, $\ldots$ $[(855, 30784)]$
439569.z2 439569.z \( 3^{2} \cdot 13^{2} \cdot 17^{2} \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $76.50167907$ $[1, -1, 1, -610570499, 3938905042778]$ \(y^2+xy+y=x^3-x^2-610570499x+3938905042778\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 24.48.0-8.d.2.13, 52.24.0.c.1, $\ldots$ $[(61942, 14244036), (432709/4, 170935725/4)]$
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