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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
15.a8 15.a \( 3 \cdot 5 \) $0$ $\Z/8\Z$ $1$ $[1, 1, 1, 35, -28]$ \(y^2+xy+y=x^3+x^2+35x-28\) 2.3.0.a.1, 4.24.0-4.d.1.1, 8.96.0-8.n.2.5, 24.192.1-24.cv.2.2, 80.192.1.?, $\ldots$
21.a3 21.a \( 3 \cdot 7 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -39, 90]$ \(y^2+xy=x^3-39x+90\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 28.24.0-28.h.1.2, 48.96.0-48.bf.1.3, $\ldots$
42.a5 42.a \( 2 \cdot 3 \cdot 7 \) $0$ $\Z/8\Z$ $1$ $[1, 1, 1, -4, 5]$ \(y^2+xy+y=x^3+x^2-4x+5\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 14.6.0.b.1, 16.96.0-16.z.1.2, $\ldots$
48.a6 48.a \( 2^{4} \cdot 3 \) $0$ $\Z/8\Z$ $1$ $[0, 1, 0, 16, 180]$ \(y^2=x^3+x^2+16x+180\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.96.0-8.m.1.4, 48.192.1-48.w.2.2
102.c5 102.c \( 2 \cdot 3 \cdot 17 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -34, 68]$ \(y^2+xy=x^3-34x+68\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 16.96.0-16.bb.1.1, 34.6.0.a.1, $\ldots$
210.e4 210.e \( 2 \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -15070, 710612]$ \(y^2+xy=x^3-15070x+710612\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 16.96.0-16.v.1.2, 28.24.0-28.h.1.2, $\ldots$
210.e7 210.e \( 2 \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, 210, 900]$ \(y^2+xy=x^3+210x+900\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 14.6.0.b.1, 16.96.0-16.v.1.2, $\ldots$
336.d2 336.d \( 2^{4} \cdot 3 \cdot 7 \) $0$ $\Z/8\Z$ $1$ $[0, 1, 0, -14624, 669300]$ \(y^2=x^3+x^2-14624x+669300\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.96.0-8.p.1.2, 112.192.1.?
690.k5 690.k \( 2 \cdot 3 \cdot 5 \cdot 23 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -420, 3600]$ \(y^2+xy=x^3-420x+3600\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 46.6.0.a.1, 48.96.0-48.bp.1.7, $\ldots$
714.f5 714.f \( 2 \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/8\Z$ $1$ $[1, 1, 1, -70244, 7127525]$ \(y^2+xy+y=x^3+x^2-70244x+7127525\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 16.96.0-16.z.1.2, 34.6.0.a.1, $\ldots$
930.o4 930.o \( 2 \cdot 3 \cdot 5 \cdot 31 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -3700, 67232]$ \(y^2+xy=x^3-3700x+67232\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 124.24.0.?, 240.96.0.?, $\ldots$
966.g2 966.g \( 2 \cdot 3 \cdot 7 \cdot 23 \) $1$ $\Z/8\Z$ $2.429046614$ $[1, 1, 1, -17714, 900047]$ \(y^2+xy+y=x^3+x^2-17714x+900047\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 92.24.0.?, 112.96.0.?, $\ldots$
1230.f7 1230.f \( 2 \cdot 3 \cdot 5 \cdot 41 \) $0$ $\Z/8\Z$ $1$ $[1, 1, 1, -4890, 129447]$ \(y^2+xy+y=x^3+x^2-4890x+129447\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 16.96.0-16.x.1.2, 82.6.0.?, $\ldots$
1680.p1 1680.p \( 2^{4} \cdot 3 \cdot 5 \cdot 7 \) $1$ $\Z/8\Z$ $1.804705305$ $[0, 1, 0, -24400, 1458548]$ \(y^2=x^3+x^2-24400x+1458548\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 56.96.0-56.bj.1.3, 80.96.0.?, $\ldots$
1680.q3 1680.q \( 2^{4} \cdot 3 \cdot 5 \cdot 7 \) $0$ $\Z/8\Z$ $1$ $[0, 1, 0, -15680, 949428]$ \(y^2=x^3+x^2-15680x+949428\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 56.96.0-56.bn.1.3, 240.96.0.?, $\ldots$
1785.e5 1785.e \( 3 \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/8\Z$ $2.023651471$ $[1, 0, 0, -1785, 194922]$ \(y^2+xy=x^3-1785x+194922\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 68.24.0-68.h.1.2, 136.96.0.?, $\ldots$
1974.h5 1974.h \( 2 \cdot 3 \cdot 7 \cdot 47 \) $1$ $\Z/8\Z$ $1.235275546$ $[1, 0, 0, -6864, 223488]$ \(y^2+xy=x^3-6864x+223488\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 48.96.0-48.bh.1.7, 94.6.0.?, $\ldots$
2370.j6 2370.j \( 2 \cdot 3 \cdot 5 \cdot 79 \) $1$ $\Z/8\Z$ $1.742696834$ $[1, 1, 1, -53200, 4740785]$ \(y^2+xy+y=x^3+x^2-53200x+4740785\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 80.96.0.?, 158.6.0.?, $\ldots$
2730.w6 2730.w \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/8\Z$ $1$ $[1, 1, 1, -33200, 216426017]$ \(y^2+xy+y=x^3+x^2-33200x+216426017\) 2.3.0.a.1, 4.24.0-4.d.1.1, 8.96.0-8.n.2.5, 56.192.1-56.cm.2.2, 1040.192.1.?, $\ldots$
4074.k6 4074.k \( 2 \cdot 3 \cdot 7 \cdot 97 \) $1$ $\Z/8\Z$ $1.334530946$ $[1, 0, 0, -11764, 95888]$ \(y^2+xy=x^3-11764x+95888\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 48.96.0-48.bf.1.3, 194.6.0.?, $\ldots$
4080.ba1 4080.ba \( 2^{4} \cdot 3 \cdot 5 \cdot 17 \) $1$ $\Z/8\Z$ $2.787974465$ $[0, 1, 0, -1815520, 940954100]$ \(y^2=x^3+x^2-1815520x+940954100\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 16.96.0-16.x.1.2, 136.96.0.?, $\ldots$
4305.f5 4305.f \( 3 \cdot 5 \cdot 7 \cdot 41 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -74715, 11825442]$ \(y^2+xy=x^3-74715x+11825442\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 80.96.0.?, 164.24.0.?, $\ldots$
4746.h4 4746.h \( 2 \cdot 3 \cdot 7 \cdot 113 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -758204, 254047248]$ \(y^2+xy=x^3-758204x+254047248\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 16.96.0-16.bb.1.1, 226.6.0.?, $\ldots$
4794.c2 4794.c \( 2 \cdot 3 \cdot 17 \cdot 47 \) $1$ $\Z/8\Z$ $5.986482453$ $[1, 1, 1, -5199564, 4561336557]$ \(y^2+xy+y=x^3+x^2-5199564x+4561336557\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 188.24.0.?, 272.96.0.?, $\ldots$
4830.bj6 4830.bj \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -75340, -876400]$ \(y^2+xy=x^3-75340x-876400\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 80.96.0.?, 322.6.0.?, $\ldots$
5334.d4 5334.d \( 2 \cdot 3 \cdot 7 \cdot 127 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -501584, 4323840]$ \(y^2+xy=x^3-501584x+4323840\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 112.96.0.?, 508.24.0.?, $\ldots$
5712.o1 5712.o \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/8\Z$ $1$ $[0, 1, 0, -219497664, 1251605773620]$ \(y^2=x^3+x^2-219497664x+1251605773620\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.96.0-8.p.1.2, 272.192.1.?
6006.bb6 6006.bb \( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 \) $1$ $\Z/8\Z$ $2.554040933$ $[1, 0, 0, 83616, -29981952]$ \(y^2+xy=x^3+83616x-29981952\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, $\ldots$
6279.f2 6279.f \( 3 \cdot 7 \cdot 13 \cdot 23 \) $1$ $\Z/8\Z$ $4.425147104$ $[1, 0, 0, -487459, 130953890]$ \(y^2+xy=x^3-487459x+130953890\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 92.24.0.?, 184.96.0.?, $\ldots$
6510.r5 6510.r \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31 \) $0$ $\Z/8\Z$ $1$ $[1, 1, 1, 19890, 2056587]$ \(y^2+xy+y=x^3+x^2+19890x+2056587\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 62.6.0.b.1, 112.96.0.?, $\ldots$
6510.bb5 6510.bb \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -770, 168900]$ \(y^2+xy=x^3-770x+168900\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 62.6.0.b.1, 80.96.0.?, $\ldots$
7455.b4 7455.b \( 3 \cdot 5 \cdot 7 \cdot 71 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -61935, 2279322]$ \(y^2+xy=x^3-61935x+2279322\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 284.24.0.?, 560.96.0.?, $\ldots$
7755.e2 7755.e \( 3 \cdot 5 \cdot 11 \cdot 47 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -507905, 139280202]$ \(y^2+xy=x^3-507905x+139280202\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 176.96.0.?, 188.24.0.?, $\ldots$
7854.p5 7854.p \( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 17 \) $1$ $\Z/8\Z$ $3.065314620$ $[1, 0, 0, 46376, 5353040]$ \(y^2+xy=x^3+46376x+5353040\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 68.24.0-68.h.1.2, 136.96.0.?, $\ldots$
8778.q4 8778.q \( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 19 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -1376354, 574634820]$ \(y^2+xy=x^3-1376354x+574634820\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 28.24.0-28.h.1.2, 56.96.0-56.bl.2.5, $\ldots$
8778.r5 8778.r \( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 19 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -19780894, 35071900868]$ \(y^2+xy=x^3-19780894x+35071900868\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, $\ldots$
10416.ba3 10416.ba \( 2^{4} \cdot 3 \cdot 7 \cdot 31 \) $0$ $\Z/8\Z$ $1$ $[0, 1, 0, -5229824, 4664605620]$ \(y^2=x^3+x^2-5229824x+4664605620\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 112.96.0.?, 248.96.0.?, $\ldots$
10626.p6 10626.p \( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, 104216, 1671488]$ \(y^2+xy=x^3+104216x+1671488\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 16.96.0-16.z.1.2, 46.6.0.a.1, $\ldots$
13530.v4 13530.v \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\Z/8\Z$ $1.277495059$ $[1, 0, 0, -681440, 216441600]$ \(y^2+xy=x^3-681440x+216441600\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 80.96.0.?, 82.6.0.?, $\ldots$
14790.bd5 14790.bd \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 29 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -7211820, -15000206688]$ \(y^2+xy=x^3-7211820x-15000206688\) 2.3.0.a.1, 4.24.0-4.d.1.1, 8.96.0-8.n.2.5, 136.192.1.?, 2320.192.1.?, $\ldots$
15330.bd4 15330.bd \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 73 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -91720, 10683200]$ \(y^2+xy=x^3-91720x+10683200\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 48.96.0-48.bn.2.15, 146.6.0.?, $\ldots$
15834.s2 15834.s \( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29 \) $1$ $\Z/8\Z$ $3.932852781$ $[1, 0, 0, -1267501974, 17368693069860]$ \(y^2+xy=x^3-1267501974x+17368693069860\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 28.24.0-28.h.1.2, 56.96.0-56.bl.2.5, $\ldots$
16590.z2 16590.z \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 79 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, -5286260, 4677673872]$ \(y^2+xy=x^3-5286260x+4677673872\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 240.96.0.?, 316.24.0.?, $\ldots$
16863.a5 16863.a \( 3 \cdot 7 \cdot 11 \cdot 73 \) $0$ $\Z/8\Z$ $1$ $[1, 1, 1, -700819, 260298722]$ \(y^2+xy+y=x^3+x^2-700819x+260298722\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 292.24.0.?, 584.96.0.?, $\ldots$
18354.p6 18354.p \( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23 \) $0$ $\Z/8\Z$ $1$ $[1, 1, 1, -10025014, -89725079245]$ \(y^2+xy+y=x^3+x^2-10025014x-89725079245\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, $\ldots$
18480.bf1 18480.bf \( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) $1$ $\Z/8\Z$ $2.929727406$ $[0, -1, 0, -1684880, 842323872]$ \(y^2=x^3-x^2-1684880x+842323872\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 56.96.0-56.bj.1.3, 176.96.0.?, $\ldots$
18480.cs6 18480.cs \( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) $1$ $\Z/8\Z$ $5.502020681$ $[0, 1, 0, 169140960, -1647270873612]$ \(y^2=x^3+x^2+169140960x-1647270873612\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 56.96.0-56.bn.1.3, 240.96.0.?, $\ldots$
18480.cx3 18480.cx \( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) $0$ $\Z/8\Z$ $1$ $[0, 1, 0, -31967600, 69942010548]$ \(y^2=x^3+x^2-31967600x+69942010548\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.96.0-8.m.1.4, 176.192.1.?
18690.l5 18690.l \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 89 \) $1$ $\Z/8\Z$ $1.532262183$ $[1, 1, 1, -43400, 3397385]$ \(y^2+xy+y=x^3+x^2-43400x+3397385\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 80.96.0.?, 178.6.0.?, $\ldots$
19635.j7 19635.j \( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) $0$ $\Z/8\Z$ $1$ $[1, 0, 0, 1473815, 1598551322]$ \(y^2+xy=x^3+1473815x+1598551322\) 2.3.0.a.1, 4.24.0-4.d.1.1, 8.96.0-8.n.2.5, 616.192.1.?, 1360.192.1.?, $\ldots$
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