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Results (30 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
624.a1 624.a \( 2^{4} \cdot 3 \cdot 13 \) $1$ $\Z/2\Z$ $0.993695878$ $[0, -1, 0, -60, -144]$ \(y^2=x^3-x^2-60x-144\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[(-4, 4)]$
624.a2 624.a \( 2^{4} \cdot 3 \cdot 13 \) $1$ $\Z/2\Z$ $1.987391756$ $[0, -1, 0, 5, -14]$ \(y^2=x^3-x^2+5x-14\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[(6, 14)]$
624.b1 624.b \( 2^{4} \cdot 3 \cdot 13 \) $1$ $\Z/2\Z$ $0.887626289$ $[0, -1, 0, -748, 7564]$ \(y^2=x^3-x^2-748x+7564\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 12.48.0-12.h.1.1, 52.6.0.c.1, $\ldots$ $[(21, 26)]$
624.b2 624.b \( 2^{4} \cdot 3 \cdot 13 \) $1$ $\Z/2\Z$ $0.443813144$ $[0, -1, 0, -733, 7888]$ \(y^2=x^3-x^2-733x+7888\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.i.1.2, 26.6.0.b.1, $\ldots$ $[(12, 26)]$
624.b3 624.b \( 2^{4} \cdot 3 \cdot 13 \) $1$ $\Z/2\Z$ $2.662878869$ $[0, -1, 0, -148, -644]$ \(y^2=x^3-x^2-148x-644\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 12.48.0-12.h.1.3, 52.6.0.c.1, $\ldots$ $[(45, 286)]$
624.b4 624.b \( 2^{4} \cdot 3 \cdot 13 \) $1$ $\Z/2\Z$ $1.331439434$ $[0, -1, 0, -13, 4]$ \(y^2=x^3-x^2-13x+4\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.i.1.4, 26.6.0.b.1, $\ldots$ $[(0, 2)]$
624.c1 624.c \( 2^{4} \cdot 3 \cdot 13 \) $1$ $\Z/2\Z$ $0.498421477$ $[0, -1, 0, -68, 240]$ \(y^2=x^3-x^2-68x+240\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[(4, 4)]$
624.c2 624.c \( 2^{4} \cdot 3 \cdot 13 \) $1$ $\Z/2\Z$ $0.996842954$ $[0, -1, 0, -3, 6]$ \(y^2=x^3-x^2-3x+6\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[(2, 2)]$
624.d1 624.d \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -832, 9520]$ \(y^2=x^3-x^2-832x+9520\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.z.1.12, $\ldots$ $[ ]$
624.d2 624.d \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -52, 160]$ \(y^2=x^3-x^2-52x+160\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 52.24.0-52.b.1.2, 156.48.0.? $[ ]$
624.d3 624.d \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -7, -2]$ \(y^2=x^3-x^2-7x-2\) 2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.16, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$ $[ ]$
624.d4 624.d \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, 8, 448]$ \(y^2=x^3-x^2+8x+448\) 2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 12.24.0-12.g.1.2, 104.24.0.?, $\ldots$ $[ ]$
624.e1 624.e \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -20, 24]$ \(y^2=x^3+x^2-20x+24\) 2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[ ]$
624.e2 624.e \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -5, -6]$ \(y^2=x^3+x^2-5x-6\) 2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? $[ ]$
624.f1 624.f \( 2^{4} \cdot 3 \cdot 13 \) $1$ $\Z/4\Z$ $0.555102147$ $[0, 1, 0, -304, 1892]$ \(y^2=x^3+x^2-304x+1892\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 26.6.0.b.1, 48.48.0-48.i.1.4, $\ldots$ $[(8, 6)]$
624.f2 624.f \( 2^{4} \cdot 3 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.110204294$ $[0, 1, 0, -44, -84]$ \(y^2=x^3+x^2-44x-84\) 2.6.0.a.1, 4.24.0-4.a.1.1, 24.48.0-24.k.1.1, 52.48.0-52.b.1.1, 104.96.0.?, $\ldots$ $[(-5, 6)]$
624.f3 624.f \( 2^{4} \cdot 3 \cdot 13 \) $1$ $\Z/2\Z$ $2.220408588$ $[0, 1, 0, -39, -108]$ \(y^2=x^3+x^2-39x-108\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 26.6.0.b.1, 48.48.0-48.i.1.8, $\ldots$ $[(12, 36)]$
624.f4 624.f \( 2^{4} \cdot 3 \cdot 13 \) $1$ $\Z/4\Z$ $2.220408588$ $[0, 1, 0, 136, -444]$ \(y^2=x^3+x^2+136x-444\) 2.3.0.a.1, 4.24.0-4.d.1.1, 12.48.0-12.e.1.2, 104.48.0.?, 208.96.0.?, $\ldots$ $[(7, 30)]$
624.g1 624.g \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -3, 0]$ \(y^2=x^3+x^2-3x\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[ ]$
624.g2 624.g \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 12, 12]$ \(y^2=x^3+x^2+12x+12\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[ ]$
624.h1 624.h \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -331832, -73684908]$ \(y^2=x^3+x^2-331832x-73684908\) 2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 104.24.0.?, 312.48.0.? $[ ]$
624.h2 624.h \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, 1, 0, -37432, 932948]$ \(y^2=x^3+x^2-37432x+932948\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 26.6.0.b.1, 52.24.0-52.g.1.2, $\ldots$ $[ ]$
624.h3 624.h \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -20792, -1150380]$ \(y^2=x^3+x^2-20792x-1150380\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 52.24.0-52.b.1.1, 156.48.0.? $[ ]$
624.h4 624.h \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -312, -44460]$ \(y^2=x^3+x^2-312x-44460\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$ $[ ]$
624.i1 624.i \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, 1, 0, -1112, 13908]$ \(y^2=x^3+x^2-1112x+13908\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 26.6.0.b.1, 52.24.0-52.g.1.2, $\ldots$ $[ ]$
624.i2 624.i \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -312, -2028]$ \(y^2=x^3+x^2-312x-2028\) 2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 104.24.0.?, 312.48.0.? $[ ]$
624.i3 624.i \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -72, 180]$ \(y^2=x^3+x^2-72x+180\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 52.24.0-52.b.1.1, 156.48.0.? $[ ]$
624.i4 624.i \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 8, 20]$ \(y^2=x^3+x^2+8x+20\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$ $[ ]$
624.j1 624.j \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -651, -6228]$ \(y^2=x^3+x^2-651x-6228\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[ ]$
624.j2 624.j \( 2^{4} \cdot 3 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 564, -25668]$ \(y^2=x^3+x^2+564x-25668\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[ ]$
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