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Results (12 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
8349.a1 8349.a \( 3 \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $1.262325511$ $[1, 0, 0, -1878, 31065]$ \(y^2+xy=x^3-1878x+31065\) 2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?
8349.a2 8349.a \( 3 \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $2.524651022$ $[1, 0, 0, -63, 936]$ \(y^2+xy=x^3-63x+936\) 2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.?
8349.b1 8349.b \( 3 \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $0.201343310$ $[1, 0, 0, -57175, 5257418]$ \(y^2+xy=x^3-57175x+5257418\) 4.2.0.a.1, 552.4.0.?
8349.c1 8349.c \( 3 \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $4.928290454$ $[1, 1, 0, -149800, 22080073]$ \(y^2+xy=x^3+x^2-149800x+22080073\) 2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?
8349.c2 8349.c \( 3 \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $9.856580909$ $[1, 1, 0, -2785, 821704]$ \(y^2+xy=x^3+x^2-2785x+821704\) 2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.?
8349.d1 8349.d \( 3 \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $5.632347455$ $[1, 0, 1, -11265587, 14552942369]$ \(y^2+xy+y=x^3-11265587x+14552942369\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0-8.n.1.6, $\ldots$
8349.d2 8349.d \( 3 \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $11.26469491$ $[1, 0, 1, -704102, 227344115]$ \(y^2+xy+y=x^3-704102x+227344115\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 12.24.0-4.b.1.2, 24.48.0-24.h.1.27, $\ldots$
8349.d3 8349.d \( 3 \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $22.52938982$ $[1, 0, 1, -684137, 240848441]$ \(y^2+xy+y=x^3-684137x+240848441\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 12.12.0-4.c.1.2, 24.48.0-24.by.1.10, $\ldots$
8349.d4 8349.d \( 3 \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $11.26469491$ $[1, 0, 1, -170492, -23513569]$ \(y^2+xy+y=x^3-170492x-23513569\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 24.24.0.by.2, $\ldots$
8349.d5 8349.d \( 3 \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $5.632347455$ $[1, 0, 1, -45257, 3336815]$ \(y^2+xy+y=x^3-45257x+3336815\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.h.2.14, 44.24.0-4.b.1.3, $\ldots$
8349.d6 8349.d \( 3 \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $2.816173727$ $[1, 0, 1, 3748, 259301]$ \(y^2+xy+y=x^3+3748x+259301\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 44.12.0-4.c.1.2, 46.6.0.a.1, $\ldots$
8349.e1 8349.e \( 3 \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $6.925219628$ $[1, 0, 1, -6918178, -7004541535]$ \(y^2+xy+y=x^3-6918178x-7004541535\) 4.2.0.a.1, 6072.4.0.?
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