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Results (26 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
2730.bd8 2730.bd \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, 0, 0, 162715, -4536903]$ \(y^2+xy=x^3+162715x-4536903\) 2.3.0.a.1, 3.8.0-3.a.1.2, 4.12.0-4.c.1.2, 6.24.0-6.a.1.4, 12.96.0-12.c.3.7, $\ldots$ $[ ]$
8190.h8 8190.h \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 1464435, 122496381]$ \(y^2+xy=x^3-x^2+1464435x+122496381\) 2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.96.0-12.c.3.3, $\ldots$ $[ ]$
13650.d8 13650.d \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $7.739677046$ $[1, 1, 0, 4067875, -567112875]$ \(y^2+xy=x^3+x^2+4067875x-567112875\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[(601, 45473)]$
19110.bq8 19110.bq \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $6.953959610$ $[1, 1, 1, 7973034, 1564130763]$ \(y^2+xy+y=x^3+x^2+7973034x+1564130763\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.3, $\ldots$ $[(10107, 1050749)]$
21840.w8 21840.w \( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, 2603440, 290361792]$ \(y^2=x^3-x^2+2603440x+290361792\) 2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.96.0-12.c.3.8, $\ldots$ $[ ]$
35490.z8 35490.z \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 27498831, -9995074724]$ \(y^2+xy+y=x^3+27498831x-9995074724\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[ ]$
40950.dh8 40950.dh \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $7.504019094$ $[1, -1, 1, 36610870, 15348658497]$ \(y^2+xy+y=x^3-x^2+36610870x+15348658497\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[(109475, 36222633)]$
57330.cg8 57330.cg \( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 71757306, -42159773300]$ \(y^2+xy=x^3-x^2+71757306x-42159773300\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[ ]$
65520.r8 65520.r \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 23430957, -7863199342]$ \(y^2=x^3+23430957x-7863199342\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.3.4, $\ldots$ $[ ]$
87360.bl8 87360.bl \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 10413759, -2333308095]$ \(y^2=x^3-x^2+10413759x-2333308095\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.3, $\ldots$ $[ ]$
87360.eb8 87360.eb \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $4.626944474$ $[0, 1, 0, 10413759, 2333308095]$ \(y^2=x^3+x^2+10413759x+2333308095\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.4, $\ldots$ $[(-54, 42081)]$
95550.ew8 95550.ew \( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 199325849, 195117693698]$ \(y^2+xy+y=x^3+199325849x+195117693698\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[ ]$
106470.fd8 106470.fd \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 247489483, 269867017541]$ \(y^2+xy+y=x^3-x^2+247489483x+269867017541\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[ ]$
109200.ge8 109200.ge \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 65085992, 36425395988]$ \(y^2=x^3+x^2+65085992x+36425395988\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[ ]$
152880.ey8 152880.ey \( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) $2$ $\Z/2\Z$ $4.449465290$ $[0, 1, 0, 127568544, -99849231756]$ \(y^2=x^3+x^2+127568544x-99849231756\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.4, $\ldots$ $[(1962, 397488), (9060, 1341522)]$
177450.hb8 177450.hb \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $4.736643630$ $[1, 1, 1, 687470787, -1249384340469]$ \(y^2+xy+y=x^3+x^2+687470787x-1249384340469\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$ $[(8949, 2366088)]$
248430.cb8 248430.cb \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $2.294991200$ $[1, 1, 0, 1347442743, 3429658072989]$ \(y^2+xy=x^3+x^2+1347442743x+3429658072989\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[(213, 1927761)]$
262080.im8 262080.im \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 93723828, -62905594736]$ \(y^2=x^3+93723828x-62905594736\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[ ]$
262080.ll8 262080.ll \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 93723828, 62905594736]$ \(y^2=x^3+93723828x+62905594736\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[ ]$
283920.bp8 283920.bp \( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $29.50540402$ $[0, -1, 0, 439981304, 639684782320]$ \(y^2=x^3-x^2+439981304x+639684782320\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[(386637300306/24335, 13876696454148656246/24335)]$
286650.mt8 286650.mt \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.741942946$ $[1, -1, 1, 1793932645, -5268177729853]$ \(y^2+xy+y=x^3-x^2+1793932645x-5268177729853\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[(752649, 653615650)]$
327600.ks8 327600.ks \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 585773925, -982899917750]$ \(y^2=x^3+585773925x-982899917750\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[ ]$
330330.cr8 330330.cr \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) $2$ $\Z/2\Z$ $3.497400999$ $[1, 0, 1, 19688512, 6058306406]$ \(y^2+xy+y=x^3+19688512x+6058306406\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[(450, 122287), (750, 145387)]$
436800.hy8 436800.hy \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $2$ $\Z/2\Z$ $29.54465721$ $[0, -1, 0, 260343967, 291142823937]$ \(y^2=x^3-x^2+260343967x+291142823937\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[(11627, 2211300), (36857/4, 60819525/4)]$
436800.mr8 436800.mr \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $6.545518481$ $[0, 1, 0, 260343967, -291142823937]$ \(y^2=x^3+x^2+260343967x-291142823937\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[(29674, 5793489)]$
458640.ld8 458640.ld \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.175430932$ $[0, 0, 0, 1148116893, 2697077374306]$ \(y^2=x^3+1148116893x+2697077374306\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[(68642, 20122830)]$
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