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Results (32 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
450.a1 450.a \( 2 \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $1.190991927$ $[1, -1, 0, -5442, -39034]$ \(y^2+xy=x^3-x^2-5442x-39034\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 15.8.0-3.a.1.1, $\ldots$
450.a2 450.a \( 2 \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $0.396997309$ $[1, -1, 0, -3192, 70216]$ \(y^2+xy=x^3-x^2-3192x+70216\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 15.8.0-3.a.1.2, $\ldots$
450.a3 450.a \( 2 \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $0.198498654$ $[1, -1, 0, -192, 1216]$ \(y^2+xy=x^3-x^2-192x+1216\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 15.8.0-3.a.1.2, 24.48.0-24.cd.1.6, $\ldots$
450.a4 450.a \( 2 \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $0.595495963$ $[1, -1, 0, 1308, -5284]$ \(y^2+xy=x^3-x^2+1308x-5284\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 15.8.0-3.a.1.1, 24.48.0-24.cd.1.2, $\ldots$
450.b1 450.b \( 2 \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $1.372809958$ $[1, -1, 0, -7452, -244944]$ \(y^2+xy=x^3-x^2-7452x-244944\) 2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 15.24.0-5.a.1.1, 20.72.0-10.a.2.9, $\ldots$
450.b2 450.b \( 2 \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $0.274561991$ $[1, -1, 0, -477, 4131]$ \(y^2+xy=x^3-x^2-477x+4131\) 2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 15.24.0-5.a.2.1, 20.72.0-10.a.1.8, $\ldots$
450.b3 450.b \( 2 \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $0.686404979$ $[1, -1, 0, -252, -7344]$ \(y^2+xy=x^3-x^2-252x-7344\) 2.3.0.a.1, 5.12.0.a.1, 10.72.0-10.a.2.2, 15.24.0-5.a.1.1, 24.6.0.j.1, $\ldots$
450.b4 450.b \( 2 \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $0.137280995$ $[1, -1, 0, -27, 81]$ \(y^2+xy=x^3-x^2-27x+81\) 2.3.0.a.1, 5.12.0.a.2, 10.72.0-10.a.1.4, 15.24.0-5.a.2.1, 24.6.0.j.1, $\ldots$
450.c1 450.c \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -28242, 1833916]$ \(y^2+xy=x^3-x^2-28242x+1833916\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.192.1-15.a.1.4, 24.8.0.a.1, $\ldots$
450.c2 450.c \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -117, 5791]$ \(y^2+xy=x^3-x^2-117x+5791\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.192.1-15.a.2.2, 24.8.0.a.1, $\ldots$
450.c3 450.c \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -27, -59]$ \(y^2+xy=x^3-x^2-27x-59\) 3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.192.1-15.a.4.1, 24.8.0.a.1, $\ldots$
450.c4 450.c \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 198, 436]$ \(y^2+xy=x^3-x^2+198x+436\) 3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.192.1-15.a.3.3, 24.8.0.a.1, $\ldots$
450.d1 450.d \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1200042, 506291116]$ \(y^2+xy=x^3-x^2-1200042x+506291116\) 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.1.6, $\ldots$
450.d2 450.d \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -102042, 1733116]$ \(y^2+xy=x^3-x^2-102042x+1733116\) 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.1.6, $\ldots$
450.d3 450.d \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -75042, 7916116]$ \(y^2+xy=x^3-x^2-75042x+7916116\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.2, 12.96.0-12.a.1.10, $\ldots$
450.d4 450.d \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -64917, -6350009]$ \(y^2+xy=x^3-x^2-64917x-6350009\) 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.1.6, $\ldots$
450.d5 450.d \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -15417, 638491]$ \(y^2+xy=x^3-x^2-15417x+638491\) 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.1.6, $\ldots$
450.d6 450.d \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -4167, -92759]$ \(y^2+xy=x^3-x^2-4167x-92759\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.2, 12.96.0-12.a.2.4, $\ldots$
450.d7 450.d \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -3042, 212116]$ \(y^2+xy=x^3-x^2-3042x+212116\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.24.0-6.a.1.3, 8.12.0-4.c.1.6, $\ldots$
450.d8 450.d \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 333, -7259]$ \(y^2+xy=x^3-x^2+333x-7259\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.24.0-6.a.1.1, 8.12.0-4.c.1.6, $\ldots$
450.e1 450.e \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -28730, -1867103]$ \(y^2+xy+y=x^3-x^2-28730x-1867103\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 15.8.0-3.a.1.1, $\ldots$
450.e2 450.e \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -1730, -31103]$ \(y^2+xy+y=x^3-x^2-1730x-31103\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 15.8.0-3.a.1.1, 24.48.0-24.cd.1.2, $\ldots$
450.e3 450.e \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -605, 1647]$ \(y^2+xy+y=x^3-x^2-605x+1647\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 15.8.0-3.a.1.2, $\ldots$
450.e4 450.e \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 145, 147]$ \(y^2+xy+y=x^3-x^2+145x+147\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 15.8.0-3.a.1.2, 24.48.0-24.cd.1.6, $\ldots$
450.f1 450.f \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -186305, -30804303]$ \(y^2+xy+y=x^3-x^2-186305x-30804303\) 2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 15.24.0-5.a.1.2, 20.72.0-10.a.2.11, $\ldots$
450.f2 450.f \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -11930, 504447]$ \(y^2+xy+y=x^3-x^2-11930x+504447\) 2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 15.24.0-5.a.2.2, 20.72.0-10.a.1.11, $\ldots$
450.f3 450.f \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -6305, -924303]$ \(y^2+xy+y=x^3-x^2-6305x-924303\) 2.3.0.a.1, 5.12.0.a.1, 10.72.0-10.a.2.4, 15.24.0-5.a.1.2, 24.6.0.j.1, $\ldots$
450.f4 450.f \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -680, 9447]$ \(y^2+xy+y=x^3-x^2-680x+9447\) 2.3.0.a.1, 5.12.0.a.2, 10.72.0-10.a.1.3, 15.24.0-5.a.2.2, 24.6.0.j.1, $\ldots$
450.g1 450.g \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/3\Z$ $1$ $[1, -1, 1, -1130, 14897]$ \(y^2+xy+y=x^3-x^2-1130x+14897\) 3.8.0-3.a.1.2, 5.12.0.a.2, 8.2.0.a.1, 15.192.1-15.a.1.2, 24.16.0-24.a.1.8, $\ldots$
450.g2 450.g \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -680, -8053]$ \(y^2+xy+y=x^3-x^2-680x-8053\) 3.8.0-3.a.1.1, 5.12.0.a.1, 8.2.0.a.1, 15.192.1-15.a.4.2, 24.16.0-24.a.1.6, $\ldots$
450.g3 450.g \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -5, 47]$ \(y^2+xy+y=x^3-x^2-5x+47\) 3.8.0-3.a.1.1, 5.12.0.a.2, 8.2.0.a.1, 15.192.1-15.a.2.1, 24.16.0-24.a.1.6, $\ldots$
450.g4 450.g \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/3\Z$ $1$ $[1, -1, 1, 4945, 59447]$ \(y^2+xy+y=x^3-x^2+4945x+59447\) 3.8.0-3.a.1.2, 5.12.0.a.1, 8.2.0.a.1, 15.192.1-15.a.3.4, 24.16.0-24.a.1.8, $\ldots$
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