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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
312.a4 312.a \( 2^{3} \cdot 3 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, 136, 444]$ \(y^2=x^3-x^2+136x+444\) 2.3.0.a.1, 4.24.0-4.d.1.1, 12.48.0-12.e.1.2, 104.48.0.?, 208.96.0.?, $\ldots$ $[ ]$
624.f4 624.f \( 2^{4} \cdot 3 \cdot 13 \) $1$ $\Z/4\Z$ $2.220408588$ $[0, 1, 0, 136, -444]$ \(y^2=x^3+x^2+136x-444\) 2.3.0.a.1, 4.24.0-4.d.1.1, 12.48.0-12.e.1.2, 104.48.0.?, 208.96.0.?, $\ldots$ $[(7, 30)]$
936.h4 936.h \( 2^{3} \cdot 3^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 1221, -13210]$ \(y^2=x^3+1221x-13210\) 2.3.0.a.1, 4.24.0-4.d.1.2, 12.48.0-12.e.1.1, 104.48.0.?, 208.96.0.?, $\ldots$ $[ ]$
1872.n4 1872.n \( 2^{4} \cdot 3^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.141225143$ $[0, 0, 0, 1221, 13210]$ \(y^2=x^3+1221x+13210\) 2.3.0.a.1, 4.24.0-4.d.1.2, 12.48.0-12.e.1.1, 104.48.0.?, 208.96.0.?, $\ldots$ $[(3, 130)]$
2496.k4 2496.k \( 2^{6} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 543, -4095]$ \(y^2=x^3-x^2+543x-4095\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.1, 12.24.0.e.1, 24.48.0-12.e.1.1, $\ldots$ $[ ]$
2496.bb4 2496.bb \( 2^{6} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 543, 4095]$ \(y^2=x^3+x^2+543x+4095\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.1, 12.24.0.e.1, 24.48.0-12.e.1.1, $\ldots$ $[ ]$
4056.g4 4056.g \( 2^{3} \cdot 3 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 22928, 1067260]$ \(y^2=x^3-x^2+22928x+1067260\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.3, 12.24.0.e.1, 24.48.0-12.e.1.4, $\ldots$ $[ ]$
7488.i4 7488.i \( 2^{6} \cdot 3^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.285028526$ $[0, 0, 0, 4884, 105680]$ \(y^2=x^3+4884x+105680\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.4, 12.24.0.e.1, 24.48.0-12.e.1.2, $\ldots$ $[(-11, 225)]$
7488.t4 7488.t \( 2^{6} \cdot 3^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 4884, -105680]$ \(y^2=x^3+4884x-105680\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.4, 12.24.0.e.1, 24.48.0-12.e.1.2, $\ldots$ $[ ]$
7800.n4 7800.n \( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.089429912$ $[0, 1, 0, 3392, 62288]$ \(y^2=x^3+x^2+3392x+62288\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 20.24.0-4.d.1.1, 60.48.0-12.e.1.2, $\ldots$ $[(8, 300)]$
8112.bg4 8112.bg \( 2^{4} \cdot 3 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 22928, -1067260]$ \(y^2=x^3+x^2+22928x-1067260\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.3, 12.24.0.e.1, 24.48.0-12.e.1.4, $\ldots$ $[ ]$
12168.e4 12168.e \( 2^{3} \cdot 3^{2} \cdot 13^{2} \) $2$ $\Z/2\Z$ $8.924956181$ $[0, 0, 0, 206349, -29022370]$ \(y^2=x^3+206349x-29022370\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.6, 12.24.0.e.1, 24.48.0-12.e.1.5, $\ldots$ $[(247, 6084), (4927/3, 425204/3)]$
15288.bb4 15288.bb \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $4.611271386$ $[0, 1, 0, 6648, -165600]$ \(y^2=x^3+x^2+6648x-165600\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 28.24.0-4.d.1.1, 84.48.0.?, $\ldots$ $[(123, 1590)]$
15600.bi4 15600.bi \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.374563723$ $[0, -1, 0, 3392, -62288]$ \(y^2=x^3-x^2+3392x-62288\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 20.24.0-4.d.1.1, 60.48.0-12.e.1.2, $\ldots$ $[(22, 150)]$
23400.e4 23400.e \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 30525, -1651250]$ \(y^2=x^3+30525x-1651250\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 20.24.0-4.d.1.2, 60.48.0-12.e.1.1, $\ldots$ $[ ]$
24336.t4 24336.t \( 2^{4} \cdot 3^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 206349, 29022370]$ \(y^2=x^3+206349x+29022370\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.6, 12.24.0.e.1, 24.48.0-12.e.1.5, $\ldots$ $[ ]$
30576.be4 30576.be \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 6648, 165600]$ \(y^2=x^3-x^2+6648x+165600\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 28.24.0-4.d.1.1, 84.48.0.?, $\ldots$ $[ ]$
32448.q4 32448.q \( 2^{6} \cdot 3 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 91711, -8629791]$ \(y^2=x^3-x^2+91711x-8629791\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.2, 12.24.0.e.1, 24.48.0-12.e.1.6, $\ldots$ $[ ]$
32448.cd4 32448.cd \( 2^{6} \cdot 3 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 91711, 8629791]$ \(y^2=x^3+x^2+91711x+8629791\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.2, 12.24.0.e.1, 24.48.0-12.e.1.6, $\ldots$ $[ ]$
37752.a4 37752.a \( 2^{3} \cdot 3 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.047137226$ $[0, -1, 0, 16416, -656676]$ \(y^2=x^3-x^2+16416x-656676\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 44.24.0-4.d.1.1, 104.24.0.?, $\ldots$ $[(158, 2420)]$
45864.n4 45864.n \( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $2$ $\Z/2\Z$ $8.537505506$ $[0, 0, 0, 59829, 4531030]$ \(y^2=x^3+59829x+4531030\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 28.24.0-4.d.1.2, 84.48.0.?, $\ldots$ $[(99, 3380), (1155, 40180)]$
46800.fg4 46800.fg \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 30525, 1651250]$ \(y^2=x^3+30525x+1651250\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 20.24.0-4.d.1.2, 60.48.0-12.e.1.1, $\ldots$ $[ ]$
62400.l4 62400.l \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) $2$ $\Z/2\Z$ $0.669833129$ $[0, -1, 0, 13567, 484737]$ \(y^2=x^3-x^2+13567x+484737\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 40.24.0-4.d.1.1, 104.24.0.?, $\ldots$ $[(-7, 624), (32, 975)]$
62400.hw4 62400.hw \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 13567, -484737]$ \(y^2=x^3+x^2+13567x-484737\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 40.24.0-4.d.1.1, 104.24.0.?, $\ldots$ $[ ]$
75504.bs4 75504.bs \( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $5.819247883$ $[0, 1, 0, 16416, 656676]$ \(y^2=x^3+x^2+16416x+656676\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 44.24.0-4.d.1.1, 104.24.0.?, $\ldots$ $[(-99/2, 3885/2)]$
90168.bc4 90168.bc \( 2^{3} \cdot 3 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $1.898398818$ $[0, 1, 0, 39208, 2416800]$ \(y^2=x^3+x^2+39208x+2416800\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 68.24.0-4.d.1.1, 104.24.0.?, $\ldots$ $[(-44, 780)]$
91728.bo4 91728.bo \( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $7.490395888$ $[0, 0, 0, 59829, -4531030]$ \(y^2=x^3+59829x-4531030\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 28.24.0-4.d.1.2, 84.48.0.?, $\ldots$ $[(5254, 381240)]$
97344.ei4 97344.ei \( 2^{6} \cdot 3^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 825396, -232178960]$ \(y^2=x^3+825396x-232178960\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.5, 12.24.0.e.1, 24.48.0-12.e.1.3, $\ldots$ $[ ]$
97344.fq4 97344.fq \( 2^{6} \cdot 3^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $18.56668215$ $[0, 0, 0, 825396, 232178960]$ \(y^2=x^3+825396x+232178960\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.5, 12.24.0.e.1, 24.48.0-12.e.1.3, $\ldots$ $[(74649565/539, 3362985469845/539)]$
101400.dq4 101400.dq \( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 573192, 134553888]$ \(y^2=x^3+x^2+573192x+134553888\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 40.24.0-4.d.1.3, 104.24.0.?, $\ldots$ $[ ]$
112632.s4 112632.s \( 2^{3} \cdot 3 \cdot 13 \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 48976, -3339504]$ \(y^2=x^3+x^2+48976x-3339504\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 76.24.0.?, 104.24.0.?, $\ldots$ $[ ]$
113256.br4 113256.br \( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $6.837096455$ $[0, 0, 0, 147741, 17582510]$ \(y^2=x^3+147741x+17582510\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 44.24.0-4.d.1.2, 104.24.0.?, $\ldots$ $[(1585/2, 94095/2)]$
122304.bc4 122304.bc \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.324177364$ $[0, -1, 0, 26591, -1351391]$ \(y^2=x^3-x^2+26591x-1351391\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 56.24.0-4.d.1.1, 104.24.0.?, $\ldots$ $[(385, 8112)]$
122304.fm4 122304.fm \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.452526164$ $[0, 1, 0, 26591, 1351391]$ \(y^2=x^3+x^2+26591x+1351391\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 56.24.0-4.d.1.1, 104.24.0.?, $\ldots$ $[(122, 2535)]$
165048.o4 165048.o \( 2^{3} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.995003479$ $[0, -1, 0, 71768, -5976740]$ \(y^2=x^3-x^2+71768x-5976740\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 92.24.0.?, 104.24.0.?, $\ldots$ $[(194, 3900)]$
180336.bi4 180336.bi \( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 39208, -2416800]$ \(y^2=x^3-x^2+39208x-2416800\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 68.24.0-4.d.1.1, 104.24.0.?, $\ldots$ $[ ]$
187200.be4 187200.be \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $1$ $\Z/2\Z$ $0.921357294$ $[0, 0, 0, 122100, -13210000]$ \(y^2=x^3+122100x-13210000\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 40.24.0-4.d.1.4, 104.24.0.?, $\ldots$ $[(230, 5200)]$
187200.po4 187200.po \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 122100, 13210000]$ \(y^2=x^3+122100x+13210000\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 40.24.0-4.d.1.4, 104.24.0.?, $\ldots$ $[ ]$
198744.cj4 198744.cj \( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 1123456, -368317104]$ \(y^2=x^3+x^2+1123456x-368317104\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 56.24.0-4.d.1.3, 104.24.0.?, $\ldots$ $[ ]$
202800.i4 202800.i \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $2.727191003$ $[0, -1, 0, 573192, -134553888]$ \(y^2=x^3-x^2+573192x-134553888\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 40.24.0-4.d.1.3, 104.24.0.?, $\ldots$ $[(1257, 50700)]$
225264.i4 225264.i \( 2^{4} \cdot 3 \cdot 13 \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 48976, 3339504]$ \(y^2=x^3-x^2+48976x+3339504\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 76.24.0.?, 104.24.0.?, $\ldots$ $[ ]$
226512.fq4 226512.fq \( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $18.55065732$ $[0, 0, 0, 147741, -17582510]$ \(y^2=x^3+147741x-17582510\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 44.24.0-4.d.1.2, 104.24.0.?, $\ldots$ $[(106779410/871, 1618640414370/871)]$
262392.bb4 262392.bb \( 2^{3} \cdot 3 \cdot 13 \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 114096, 11970576]$ \(y^2=x^3+x^2+114096x+11970576\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 104.24.0.?, 116.24.0.?, $\ldots$ $[ ]$
270504.h4 270504.h \( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 352869, -64900730]$ \(y^2=x^3+352869x-64900730\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 68.24.0-4.d.1.2, 104.24.0.?, $\ldots$ $[ ]$
299832.m4 299832.m \( 2^{3} \cdot 3 \cdot 13 \cdot 31^{2} \) $1$ $\Z/2\Z$ $15.29849992$ $[0, 1, 0, 130376, -14532064]$ \(y^2=x^3+x^2+130376x-14532064\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 104.24.0.?, 124.24.0.?, $\ldots$ $[(6438083/77, 17134028850/77)]$
302016.dp4 302016.dp \( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 65663, 5187745]$ \(y^2=x^3-x^2+65663x+5187745\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 88.24.0.?, 104.24.0.?, $\ldots$ $[ ]$
302016.gw4 302016.gw \( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 65663, -5187745]$ \(y^2=x^3+x^2+65663x-5187745\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 88.24.0.?, 104.24.0.?, $\ldots$ $[ ]$
304200.ft4 304200.ft \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $9.435444318$ $[0, 0, 0, 5158725, -3627796250]$ \(y^2=x^3+5158725x-3627796250\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 40.24.0-4.d.1.6, 104.24.0.?, $\ldots$ $[(354275/11, 254551500/11)]$
330096.de4 330096.de \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 71768, 5976740]$ \(y^2=x^3+x^2+71768x+5976740\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 92.24.0.?, 104.24.0.?, $\ldots$ $[ ]$
337896.bq4 337896.bq \( 2^{3} \cdot 3^{2} \cdot 13 \cdot 19^{2} \) $1$ $\Z/2\Z$ $18.95739772$ $[0, 0, 0, 440781, 90607390]$ \(y^2=x^3+440781x+90607390\) 2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 76.24.0.?, 104.24.0.?, $\ldots$ $[(-95934415/826, 2865271716495/826)]$
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