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Results (46 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
55545.a1 55545.a \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -2502346, -1463441240]$ \(y^2+y=x^3+x^2-2502346x-1463441240\) 10.2.0.a.1
55545.b1 55545.b \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $2$ $\mathsf{trivial}$ $0.081955554$ $[0, 1, 1, -4730, 118634]$ \(y^2+y=x^3+x^2-4730x+118634\) 10.2.0.a.1
55545.c1 55545.c \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -2671990, -1682212750]$ \(y^2+xy+y=x^3+x^2-2671990x-1682212750\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 210.6.0.?, 420.12.0.?, $\ldots$
55545.c2 55545.c \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -172465, -24527770]$ \(y^2+xy+y=x^3+x^2-172465x-24527770\) 2.6.0.a.1, 4.12.0-2.a.1.1, 420.24.0.?, 644.24.0.?, 1380.24.0.?, $\ldots$
55545.c3 55545.c \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/4\Z$ $1$ $[1, 1, 1, -42860, 3000332]$ \(y^2+xy+y=x^3+x^2-42860x+3000332\) 2.3.0.a.1, 4.12.0-4.c.1.1, 690.6.0.?, 840.24.0.?, 1288.24.0.?, $\ldots$
55545.c4 55545.c \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, 253380, -126049218]$ \(y^2+xy+y=x^3+x^2+253380x-126049218\) 2.3.0.a.1, 4.12.0-4.c.1.2, 644.24.0.?, 840.24.0.?, 2760.24.0.?, $\ldots$
55545.d1 55545.d \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.618733493$ $[1, 0, 0, -121681, 14028536]$ \(y^2+xy=x^3-121681x+14028536\) 2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.?
55545.d2 55545.d \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z$ $1.309366746$ $[1, 0, 0, 208944, 77045661]$ \(y^2+xy=x^3+208944x+77045661\) 2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?
55545.e1 55545.e \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $3.945643669$ $[1, 0, 0, 505184, -1077594175]$ \(y^2+xy=x^3+505184x-1077594175\) 420.2.0.?
55545.f1 55545.f \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -2343481, 1376328380]$ \(y^2+xy=x^3-2343481x+1376328380\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, 184.12.0.?, $\ldots$
55545.f2 55545.f \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 0, -214256, -428505]$ \(y^2+xy=x^3-214256x-428505\) 2.6.0.a.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 92.12.0.?, 140.24.0.?, $\ldots$
55545.f3 55545.f \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -148131, -21892680]$ \(y^2+xy=x^3-148131x-21892680\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.ba.1, 92.12.0.?, $\ldots$
55545.f4 55545.f \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, 856969, -3213690]$ \(y^2+xy=x^3+856969x-3213690\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 56.12.0-4.c.1.5, 92.12.0.?, $\ldots$
55545.g1 55545.g \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -24334540, -46206373633]$ \(y^2+xy=x^3-24334540x-46206373633\) 2.3.0.a.1, 4.12.0-4.c.1.2, 690.6.0.?, 840.24.0.?, 1288.24.0.?, $\ldots$
55545.g2 55545.g \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 0, -1521415, -721565008]$ \(y^2+xy=x^3-1521415x-721565008\) 2.6.0.a.1, 4.12.0-2.a.1.1, 420.24.0.?, 644.24.0.?, 1380.24.0.?, $\ldots$
55545.g3 55545.g \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/4\Z$ $1$ $[1, 0, 0, -1095570, -1134038475]$ \(y^2+xy=x^3-1095570x-1134038475\) 2.3.0.a.1, 4.12.0-4.c.1.1, 644.24.0.?, 840.24.0.?, 2760.24.0.?, $\ldots$
55545.g4 55545.g \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -122210, -4332525]$ \(y^2+xy=x^3-122210x-4332525\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 210.6.0.?, 420.12.0.?, $\ldots$
55545.h1 55545.h \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.072659581$ $[1, 0, 0, 955, 88650]$ \(y^2+xy=x^3+955x+88650\) 420.2.0.?
55545.i1 55545.i \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $7.784596177$ $[0, -1, 1, -621011791, -7509852593853]$ \(y^2+y=x^3-x^2-621011791x-7509852593853\) 70.2.0.a.1
55545.j1 55545.j \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.218754801$ $[0, -1, 1, -18691, 985032]$ \(y^2+y=x^3-x^2-18691x+985032\) 10.2.0.a.1
55545.k1 55545.k \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $7.629529021$ $[0, -1, 1, -9887715, -11905786114]$ \(y^2+y=x^3-x^2-9887715x-11905786114\) 10.2.0.a.1
55545.l1 55545.l \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $18.16759876$ $[0, -1, 1, -52186555, -179120478597]$ \(y^2+y=x^3-x^2-52186555x-179120478597\) 966.2.0.?
55545.m1 55545.m \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.728855170$ $[0, -1, 1, -1173935, 617639573]$ \(y^2+y=x^3-x^2-1173935x+617639573\) 70.2.0.a.1
55545.n1 55545.n \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -61, -230]$ \(y^2+y=x^3+x^2-61x-230\) 70.2.0.a.1
55545.o1 55545.o \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/3\Z$ $1$ $[0, 1, 1, -1711491, 861368285]$ \(y^2+y=x^3+x^2-1711491x+861368285\) 3.8.0-3.a.1.2, 70.2.0.a.1, 210.16.0.?
55545.o2 55545.o \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, 478569, 2866039706]$ \(y^2+y=x^3+x^2+478569x+2866039706\) 3.8.0-3.a.1.1, 70.2.0.a.1, 210.16.0.?
55545.p1 55545.p \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -11285, -1431244]$ \(y^2+y=x^3+x^2-11285x-1431244\) 3.4.0.a.1, 42.8.0-3.a.1.1, 69.8.0-3.a.1.2, 966.16.0.?
55545.p2 55545.p \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, 99805, 34972949]$ \(y^2+y=x^3+x^2+99805x+34972949\) 3.4.0.a.1, 42.8.0-3.a.1.2, 69.8.0-3.a.1.1, 966.16.0.?
55545.q1 55545.q \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -3235, -71921]$ \(y^2+y=x^3+x^2-3235x-71921\) 3.4.0.a.1, 69.8.0-3.a.1.2, 70.2.0.a.1, 210.8.0.?, 4830.16.0.?
55545.q2 55545.q \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, 905, -235244]$ \(y^2+y=x^3+x^2+905x-235244\) 3.4.0.a.1, 69.8.0-3.a.1.1, 70.2.0.a.1, 210.8.0.?, 4830.16.0.?
55545.r1 55545.r \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -32445, 2536256]$ \(y^2+y=x^3+x^2-32445x+2536256\) 70.2.0.a.1
55545.s1 55545.s \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.071211648$ $[0, 1, 1, 15430225, 52499028281]$ \(y^2+y=x^3+x^2+15430225x+52499028281\) 966.2.0.?
55545.t1 55545.t \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z$ $8.617688945$ $[1, 0, 1, -59524, 5584241]$ \(y^2+xy+y=x^3-59524x+5584241\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 42.6.0.a.1, 84.12.0.?, $\ldots$
55545.t2 55545.t \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.308844472$ $[1, 0, 1, -3979, 74177]$ \(y^2+xy+y=x^3-3979x+74177\) 2.6.0.a.1, 20.12.0.a.1, 84.12.0.?, 92.12.0.?, 420.24.0.?, $\ldots$
55545.t3 55545.t \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z$ $8.617688945$ $[1, 0, 1, -1334, -17869]$ \(y^2+xy+y=x^3-1334x-17869\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 168.12.0.?, 184.12.0.?, $\ldots$
55545.t4 55545.t \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.154422236$ $[1, 0, 1, 9246, 465637]$ \(y^2+xy+y=x^3+9246x+465637\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 92.12.0.?, 168.12.0.?, $\ldots$
55545.u1 55545.u \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -760449, 254433247]$ \(y^2+xy+y=x^3-760449x+254433247\) 2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.?
55545.u2 55545.u \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -429824, 477142247]$ \(y^2+xy+y=x^3-429824x+477142247\) 2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?
55545.v1 55545.v \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -2271273, -1317693389]$ \(y^2+xy+y=x^3-2271273x-1317693389\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 168.12.0.?, 552.12.0.?, $\ldots$
55545.v2 55545.v \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -142048, -20569519]$ \(y^2+xy+y=x^3-142048x-20569519\) 2.6.0.a.1, 20.12.0-2.a.1.1, 84.12.0.?, 276.12.0.?, 420.24.0.?, $\ldots$
55545.v3 55545.v \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -86503, -36810877]$ \(y^2+xy+y=x^3-86503x-36810877\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 84.12.0.?, 276.12.0.?, $\ldots$
55545.v4 55545.v \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -12443, -40087]$ \(y^2+xy+y=x^3-12443x-40087\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 168.12.0.?, 276.12.0.?, $\ldots$
55545.w1 55545.w \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -6482726, -8331358195]$ \(y^2+y=x^3+x^2-6482726x-8331358195\) 966.2.0.?
55545.x1 55545.x \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -23429586, 61040931995]$ \(y^2+y=x^3+x^2-23429586x+61040931995\) 70.2.0.a.1
55545.y1 55545.y \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -44290, -5032331]$ \(y^2+y=x^3+x^2-44290x-5032331\) 70.2.0.a.1
55545.z1 55545.z \( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -3429362230, 101340200258131]$ \(y^2+y=x^3+x^2-3429362230x+101340200258131\) 966.2.0.?
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