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Results (18 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
1400.a1 1400.a \( 2^{3} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -1008, -12512]$ \(y^2=x^3+x^2-1008x-12512\) 2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1
1400.a2 1400.a \( 2^{3} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -8, -512]$ \(y^2=x^3+x^2-8x-512\) 2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1
1400.b1 1400.b \( 2^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.106620360$ $[0, 1, 0, -8, 13]$ \(y^2=x^3+x^2-8x+13\) 14.2.0.a.1
1400.c1 1400.c \( 2^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.213996967$ $[0, 1, 0, -28, -147]$ \(y^2=x^3+x^2-28x-147\) 14.2.0.a.1
1400.d1 1400.d \( 2^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.055830152$ $[0, -1, 0, 7, 157]$ \(y^2=x^3-x^2+7x+157\) 70.2.0.a.1
1400.e1 1400.e \( 2^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -168, -788]$ \(y^2=x^3-x^2-168x-788\) 8.2.0.a.1
1400.f1 1400.f \( 2^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 625, 9375]$ \(y^2=x^3+625x+9375\) 14.2.0.a.1
1400.g1 1400.g \( 2^{3} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -7475, 248750]$ \(y^2=x^3-7475x+248750\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 40.24.0-8.p.1.4, 56.24.0.bp.1, $\ldots$
1400.g2 1400.g \( 2^{3} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1475, -17250]$ \(y^2=x^3-1475x-17250\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.1, 40.24.0-8.k.1.1, $\ldots$
1400.g3 1400.g \( 2^{3} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -475, 3750]$ \(y^2=x^3-475x+3750\) 2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 28.12.0.b.1, 40.24.0-8.a.1.2, $\ldots$
1400.g4 1400.g \( 2^{3} \cdot 5^{2} \cdot 7 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 25, 250]$ \(y^2=x^3+25x+250\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 20.12.0-4.c.1.2, $\ldots$
1400.h1 1400.h \( 2^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.260599409$ $[0, 0, 0, 25, 75]$ \(y^2=x^3+25x+75\) 14.2.0.a.1
1400.i1 1400.i \( 2^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $1.675433852$ $[0, 1, 0, -4208, -106912]$ \(y^2=x^3+x^2-4208x-106912\) 8.2.0.a.1
1400.j1 1400.j \( 2^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.946553385$ $[0, 1, 0, 167, 19963]$ \(y^2=x^3+x^2+167x+19963\) 70.2.0.a.1
1400.k1 1400.k \( 2^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.247646181$ $[0, 1, 0, -33, 563]$ \(y^2=x^3+x^2-33x+563\) 70.2.0.a.1
1400.l1 1400.l \( 2^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -708, -16963]$ \(y^2=x^3-x^2-708x-16963\) 14.2.0.a.1
1400.m1 1400.m \( 2^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -208, 2037]$ \(y^2=x^3-x^2-208x+2037\) 14.2.0.a.1
1400.n1 1400.n \( 2^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -10300, 414500]$ \(y^2=x^3-10300x+414500\) 70.2.0.a.1
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