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Results (21 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation
585.a1 585.a \( 3^{2} \cdot 5 \cdot 13 \) $1$ $\mathsf{trivial}$ $0.099517256$ $[0, 0, 1, -3, 18]$ \(y^2+y=x^3-3x+18\)
585.b1 585.b \( 3^{2} \cdot 5 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -1713, -28022]$ \(y^2+y=x^3-1713x-28022\)
585.c1 585.c \( 3^{2} \cdot 5 \cdot 13 \) $1$ $\mathsf{trivial}$ $0.037671158$ $[0, 0, 1, -597, 8820]$ \(y^2+y=x^3-597x+8820\)
585.d1 585.d \( 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.395894122$ $[1, -1, 1, -3593, 83782]$ \(y^2+xy+y=x^3-x^2-3593x+83782\)
585.d2 585.d \( 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.791788244$ $[1, -1, 1, -218, 1432]$ \(y^2+xy+y=x^3-x^2-218x+1432\)
585.e1 585.e \( 3^{2} \cdot 5 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -378, -2842]$ \(y^2+y=x^3-378x-2842\)
585.e2 585.e \( 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/3\Z$ $1$ $[0, 0, 1, 12, -21]$ \(y^2+y=x^3+12x-21\)
585.f1 585.f \( 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/3\Z$ $0.766940191$ $[0, 0, 1, -42, 105]$ \(y^2+y=x^3-42x+105\)
585.f2 585.f \( 3^{2} \cdot 5 \cdot 13 \) $1$ $\mathsf{trivial}$ $0.255646730$ $[0, 0, 1, 108, 560]$ \(y^2+y=x^3+108x+560\)
585.g1 585.g \( 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $1.386213803$ $[1, -1, 0, -1170000, 487402461]$ \(y^2+xy=x^3-x^2-1170000x+487402461\)
585.g2 585.g \( 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.772427606$ $[1, -1, 0, -73125, 7629336]$ \(y^2+xy=x^3-x^2-73125x+7629336\)
585.g3 585.g \( 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $5.544855213$ $[1, -1, 0, -71370, 8011575]$ \(y^2+xy=x^3-x^2-71370x+8011575\)
585.g4 585.g \( 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.386213803$ $[1, -1, 0, -4680, 114075]$ \(y^2+xy=x^3-x^2-4680x+114075\)
585.g5 585.g \( 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.772427606$ $[1, -1, 0, -1035, -10584]$ \(y^2+xy=x^3-x^2-1035x-10584\)
585.g6 585.g \( 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $5.544855213$ $[1, -1, 0, -990, -11745]$ \(y^2+xy=x^3-x^2-990x-11745\)
585.g7 585.g \( 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $5.544855213$ $[1, -1, 0, 1890, -61479]$ \(y^2+xy=x^3-x^2+1890x-61479\)
585.g8 585.g \( 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.693106901$ $[1, -1, 0, 5445, 533250]$ \(y^2+xy=x^3-x^2+5445x+533250\)
585.h1 585.h \( 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $1.638175766$ $[1, -1, 0, -9, 0]$ \(y^2+xy=x^3-x^2-9x\)
585.h2 585.h \( 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.819087883$ $[1, -1, 0, 36, -27]$ \(y^2+xy=x^3-x^2+36x-27\)
585.i1 585.i \( 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -399, -2970]$ \(y^2+xy=x^3-x^2-399x-2970\)
585.i2 585.i \( 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -24, -45]$ \(y^2+xy=x^3-x^2-24x-45\)
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