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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
678.a1 678.a \( 2 \cdot 3 \cdot 113 \) $1$ $\mathsf{trivial}$ $0.156710702$ $[1, 1, 0, -12, 12]$ \(y^2+xy=x^3+x^2-12x+12\) 678.2.0.?
678.b1 678.b \( 2 \cdot 3 \cdot 113 \) $1$ $\mathsf{trivial}$ $0.184409578$ $[1, 0, 1, 6, -20]$ \(y^2+xy+y=x^3+6x-20\) 678.2.0.?
678.c1 678.c \( 2 \cdot 3 \cdot 113 \) $1$ $\Z/2\Z$ $0.249139071$ $[1, 1, 1, -148, -427]$ \(y^2+xy+y=x^3+x^2-148x-427\) 2.3.0.a.1, 8.6.0.d.1, 226.6.0.?, 904.12.0.?
678.c2 678.c \( 2 \cdot 3 \cdot 113 \) $1$ $\Z/2\Z$ $0.498278142$ $[1, 1, 1, 492, -2475]$ \(y^2+xy+y=x^3+x^2+492x-2475\) 2.3.0.a.1, 8.6.0.a.1, 452.6.0.?, 904.12.0.?
678.d1 678.d \( 2 \cdot 3 \cdot 113 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -190, -1024]$ \(y^2+xy=x^3-190x-1024\) 2.3.0.a.1, 8.6.0.d.1, 226.6.0.?, 904.12.0.?
678.d2 678.d \( 2 \cdot 3 \cdot 113 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -180, -1134]$ \(y^2+xy=x^3-180x-1134\) 2.3.0.a.1, 8.6.0.a.1, 452.6.0.?, 904.12.0.?
678.e1 678.e \( 2 \cdot 3 \cdot 113 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -7121, -2567403]$ \(y^2+xy=x^3-7121x-2567403\) 7.48.0-7.a.2.2, 678.2.0.?, 4746.96.2.?
678.e2 678.e \( 2 \cdot 3 \cdot 113 \) $0$ $\Z/7\Z$ $1$ $[1, 0, 0, -1661, 26097]$ \(y^2+xy=x^3-1661x+26097\) 7.48.0-7.a.1.2, 678.2.0.?, 4746.96.2.?
678.f1 678.f \( 2 \cdot 3 \cdot 113 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -1342, -18430]$ \(y^2+xy=x^3-1342x-18430\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 452.12.0.?, 904.48.0.?
678.f2 678.f \( 2 \cdot 3 \cdot 113 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 0, -212, 780]$ \(y^2+xy=x^3-212x+780\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 452.24.0.?, 904.48.0.?
678.f3 678.f \( 2 \cdot 3 \cdot 113 \) $0$ $\Z/4\Z$ $1$ $[1, 0, 0, -192, 1008]$ \(y^2+xy=x^3-192x+1008\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 226.6.0.?, 452.24.0.?, $\ldots$
678.f4 678.f \( 2 \cdot 3 \cdot 113 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, 598, 5478]$ \(y^2+xy=x^3+598x+5478\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 904.48.0.?
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