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Results (7 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
57.a1 57.a \( 3 \cdot 19 \) $1$ $\mathsf{trivial}$ $0.037574592$ $[0, -1, 1, -2, 2]$ \(y^2+y=x^3-x^2-2x+2\) 38.2.0.a.1
57.b1 57.b \( 3 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -4390, -113432]$ \(y^2+y=x^3+x^2-4390x-113432\) 5.24.0-5.a.2.2, 38.2.0.a.1, 190.48.1.?
57.b2 57.b \( 3 \cdot 19 \) $0$ $\Z/5\Z$ $1$ $[0, 1, 1, 20, -32]$ \(y^2+y=x^3+x^2+20x-32\) 5.24.0-5.a.1.2, 38.2.0.a.1, 190.48.1.?
57.c1 57.c \( 3 \cdot 19 \) $0$ $\Z/4\Z$ $1$ $[1, 0, 1, -102, 385]$ \(y^2+xy+y=x^3-102x+385\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.8, 76.24.0.?, 456.48.0.?
57.c2 57.c \( 3 \cdot 19 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -7, 5]$ \(y^2+xy+y=x^3-7x+5\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 76.24.0.?, 228.48.0.?
57.c3 57.c \( 3 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -2, -1]$ \(y^2+xy+y=x^3-2x-1\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.z.1.4, $\ldots$
57.c4 57.c \( 3 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 8, 29]$ \(y^2+xy+y=x^3+8x+29\) 2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 152.24.0.?, $\ldots$
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