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Results (21 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
714.a1 714.a \( 2 \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $0.259905232$ $[1, 1, 0, -381, 2709]$ \(y^2+xy=x^3+x^2-381x+2709\) 2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?
714.a2 714.a \( 2 \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $0.519810465$ $[1, 1, 0, -21, 45]$ \(y^2+xy=x^3+x^2-21x+45\) 2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.?
714.b1 714.b \( 2 \cdot 3 \cdot 7 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -37, -107]$ \(y^2+xy=x^3+x^2-37x-107\) 2856.2.0.?
714.c1 714.c \( 2 \cdot 3 \cdot 7 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -14597, -686643]$ \(y^2+xy=x^3+x^2-14597x-686643\) 2856.2.0.?
714.d1 714.d \( 2 \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $0.887250634$ $[1, 1, 0, -55174, 4965268]$ \(y^2+xy=x^3+x^2-55174x+4965268\) 2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?
714.d2 714.d \( 2 \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $1.774501269$ $[1, 1, 0, -3334, 81940]$ \(y^2+xy=x^3+x^2-3334x+81940\) 2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.?
714.e1 714.e \( 2 \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $0.845797302$ $[1, 1, 1, -5079, 137205]$ \(y^2+xy+y=x^3+x^2-5079x+137205\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 476.12.0.?, 952.48.0.?
714.e2 714.e \( 2 \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $0.211449325$ $[1, 1, 1, -679, -3883]$ \(y^2+xy+y=x^3+x^2-679x-3883\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 952.48.0.?
714.e3 714.e \( 2 \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.422898651$ $[1, 1, 1, -319, 2021]$ \(y^2+xy+y=x^3+x^2-319x+2021\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 476.24.0.?, 952.48.0.?
714.e4 714.e \( 2 \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/4\Z$ $0.845797302$ $[1, 1, 1, 1, 101]$ \(y^2+xy+y=x^3+x^2+x+101\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 238.6.0.?, 476.24.0.?, $\ldots$
714.f1 714.f \( 2 \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -13718604, -19563199515]$ \(y^2+xy+y=x^3+x^2-13718604x-19563199515\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.96.0-8.p.1.4, 272.192.1.?
714.f2 714.f \( 2 \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -859044, -304722459]$ \(y^2+xy+y=x^3+x^2-859044x-304722459\) 2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.f.1.1, 136.192.1.?
714.f3 714.f \( 2 \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -292604, -699871003]$ \(y^2+xy+y=x^3+x^2-292604x-699871003\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.k.1.6, 16.96.0-16.e.1.6, 136.96.0.?, $\ldots$
714.f4 714.f \( 2 \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/4\Z$ $1$ $[1, 1, 1, -90724, 2605541]$ \(y^2+xy+y=x^3+x^2-90724x+2605541\) 2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.i.1.2, 68.48.0-68.c.1.1, 136.192.1.?
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, $\ldots$
714.f6 714.f \( 2 \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/4\Z$ $1$ $[1, 1, 1, 349916, 20936165]$ \(y^2+xy+y=x^3+x^2+349916x+20936165\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.4, 16.96.0-16.z.2.3, 68.24.0-68.h.1.2, $\ldots$
714.g1 714.g \( 2 \cdot 3 \cdot 7 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -2204, -41731]$ \(y^2+xy+y=x^3+x^2-2204x-41731\) 2856.2.0.?
714.h1 714.h \( 2 \cdot 3 \cdot 7 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, 1, -1]$ \(y^2+xy+y=x^3+x^2+x-1\) 2856.2.0.?
714.i1 714.i \( 2 \cdot 3 \cdot 7 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -381702, -90803346]$ \(y^2+xy=x^3-381702x-90803346\) 3.8.0-3.a.1.1, 9.72.0-9.d.2.2, 2856.16.0.?, 8568.144.3.?
714.i2 714.i \( 2 \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/3\Z$ $1$ $[1, 0, 0, -972, -315144]$ \(y^2+xy=x^3-972x-315144\) 3.24.0-3.a.1.1, 9.72.0-9.a.1.1, 2856.48.1.?, 8568.144.3.?
714.i3 714.i \( 2 \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/9\Z$ $1$ $[1, 0, 0, 108, 11664]$ \(y^2+xy=x^3+108x+11664\) 3.8.0-3.a.1.2, 9.72.0-9.d.1.2, 2856.16.0.?, 8568.144.3.?
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