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Results (36 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
33813.a1 33813.a \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -851882, 101505980]$ \(y^2+xy+y=x^3-x^2-851882x+101505980\) 2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.?
33813.a2 33813.a \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -682817, 217146440]$ \(y^2+xy+y=x^3-x^2-682817x+217146440\) 2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?
33813.b1 33813.b \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $6.189372712$ $[1, -1, 1, -671546, -209482874]$ \(y^2+xy+y=x^3-x^2-671546x-209482874\) 2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 2652.12.0.?
33813.b2 33813.b \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $12.37874542$ $[1, -1, 1, -8291, -8383958]$ \(y^2+xy+y=x^3-x^2-8291x-8383958\) 2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.?
33813.c1 33813.c \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -154814, -23404444]$ \(y^2+xy+y=x^3-x^2-154814x-23404444\) 2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.2, 34.6.0.a.1, 68.12.0.e.1, $\ldots$
33813.c2 33813.c \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -141809, -27508822]$ \(y^2+xy+y=x^3-x^2-141809x-27508822\) 2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.2, 68.12.0.d.1, 408.24.0.?, $\ldots$
33813.d1 33813.d \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $3.142582856$ $[1, -1, 1, -2324, -42092]$ \(y^2+xy+y=x^3-x^2-2324x-42092\) 2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 2652.12.0.?
33813.d2 33813.d \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $6.285165712$ $[1, -1, 1, -29, -1700]$ \(y^2+xy+y=x^3-x^2-29x-1700\) 2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.?
33813.e1 33813.e \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $2.051523763$ $[1, -1, 1, -180824, 29640350]$ \(y^2+xy+y=x^3-x^2-180824x+29640350\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$
33813.e2 33813.e \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $2.051523763$ $[1, -1, 1, -50774, -3974974]$ \(y^2+xy+y=x^3-x^2-50774x-3974974\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.1, 104.12.0.?, $\ldots$
33813.e3 33813.e \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.103047527$ $[1, -1, 1, -11759, 425918]$ \(y^2+xy+y=x^3-x^2-11759x+425918\) 2.6.0.a.1, 12.12.0.a.1, 52.12.0.b.1, 68.12.0-2.a.1.1, 156.24.0.?, $\ldots$
33813.e4 33813.e \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $8.206095055$ $[1, -1, 1, 1246, 35768]$ \(y^2+xy+y=x^3-x^2+1246x+35768\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 68.12.0-4.c.1.2, 78.6.0.?, $\ldots$
33813.f1 33813.f \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1685349, 842484024]$ \(y^2+xy=x^3-x^2-1685349x+842484024\) 2.3.0.a.1, 4.12.0.f.1, 34.6.0.a.1, 68.24.0.h.1, 104.24.0.?, $\ldots$
33813.f2 33813.f \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1556064, 977069709]$ \(y^2+xy=x^3-x^2-1556064x+977069709\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.l.1, 104.24.0.?, $\ldots$
33813.g1 33813.g \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $0.923456838$ $[1, -1, 0, -258, 1645]$ \(y^2+xy=x^3-x^2-258x+1645\) 2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 2652.12.0.?
33813.g2 33813.g \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $1.846913676$ $[1, -1, 0, -3, 64]$ \(y^2+xy=x^3-x^2-3x+64\) 2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.?
33813.h1 33813.h \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -3066633, -2066234540]$ \(y^2+xy=x^3-x^2-3066633x-2066234540\) 2.3.0.a.1, 52.6.0.d.1, 68.6.0.c.1, 442.6.0.?, 884.12.0.?
33813.h2 33813.h \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -192528, -31943021]$ \(y^2+xy=x^3-x^2-192528x-31943021\) 2.3.0.a.1, 34.6.0.a.1, 52.6.0.d.1, 884.12.0.?
33813.i1 33813.i \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $10.09880339$ $[1, -1, 0, -52472628, 146291618079]$ \(y^2+xy=x^3-x^2-52472628x+146291618079\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.2, 24.24.0-8.n.1.7, $\ldots$
33813.i2 33813.i \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $20.19760679$ $[1, -1, 0, -3612843, 1793689920]$ \(y^2+xy=x^3-x^2-3612843x+1793689920\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 24.48.0-8.d.2.4, 52.24.0.c.1, $\ldots$
33813.i3 33813.i \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $10.09880339$ $[1, -1, 0, -1414998, -626137425]$ \(y^2+xy=x^3-x^2-1414998x-626137425\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 12.24.0-4.b.1.2, 24.48.0-8.d.1.8, $\ldots$
33813.i4 33813.i \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $20.19760679$ $[1, -1, 0, -1401993, -638598816]$ \(y^2+xy=x^3-x^2-1401993x-638598816\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.f.1, $\ldots$
33813.i5 33813.i \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $5.049401699$ $[1, -1, 0, 574767, -2248591806]$ \(y^2+xy=x^3-x^2+574767x-2248591806\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 12.12.0-4.c.1.1, 24.48.0-8.ba.1.7, $\ldots$
33813.i6 33813.i \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $40.39521359$ $[1, -1, 0, 10081422, 12138337701]$ \(y^2+xy=x^3-x^2+10081422x+12138337701\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 48.48.0-8.ba.2.8, 52.12.0.h.1, $\ldots$
33813.j1 33813.j \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -15660, 335389]$ \(y^2+xy=x^3-x^2-15660x+335389\) 156.2.0.?
33813.k1 33813.k \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -254952, -38029361]$ \(y^2+xy=x^3-x^2-254952x-38029361\) 2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.?
33813.k2 33813.k \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -85887, 9207400]$ \(y^2+xy=x^3-x^2-85887x+9207400\) 2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?
33813.l1 33813.l \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $0.689478302$ $[1, -1, 0, -54, 81]$ \(y^2+xy=x^3-x^2-54x+81\) 156.2.0.?
33813.m1 33813.m \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -10611, -418068]$ \(y^2+xy=x^3-x^2-10611x-418068\) 2.3.0.a.1, 52.6.0.d.1, 68.6.0.c.1, 442.6.0.?, 884.12.0.?
33813.m2 33813.m \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -666, -6345]$ \(y^2+xy=x^3-x^2-666x-6345\) 2.3.0.a.1, 34.6.0.a.1, 52.6.0.d.1, 884.12.0.?
33813.n1 33813.n \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $7.926236563$ $[1, -1, 0, -74616, 7783497]$ \(y^2+xy=x^3-x^2-74616x+7783497\) 2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 2652.12.0.?
33813.n2 33813.n \( 3^{2} \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $15.85247312$ $[1, -1, 0, -921, 310824]$ \(y^2+xy=x^3-x^2-921x+310824\) 2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.?
33813.o1 33813.o \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -487065915, 4137175746328]$ \(y^2+xy=x^3-x^2-487065915x+4137175746328\) 2.3.0.a.1, 4.12.0.f.1, 34.6.0.a.1, 68.24.0.h.1, 104.24.0.?, $\ldots$
33813.o2 33813.o \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -449702550, 4798544670193]$ \(y^2+xy=x^3-x^2-449702550x+4798544670193\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.l.1, 104.24.0.?, $\ldots$
33813.p1 33813.p \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -30477705, -64754567812]$ \(y^2+xy=x^3-x^2-30477705x-64754567812\) 2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.?
33813.p2 33813.p \( 3^{2} \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1905720, -1010469277]$ \(y^2+xy=x^3-x^2-1905720x-1010469277\) 2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?
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