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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
48576.a1 48576.a \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1910305, -745791839]$ \(y^2=x^3-x^2-1910305x-745791839\) 2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?
48576.a2 48576.a \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 301535, -75604319]$ \(y^2=x^3-x^2+301535x-75604319\) 2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.?
48576.b1 48576.b \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\mathsf{trivial}$ $1.573240898$ $[0, -1, 0, 23, 1]$ \(y^2=x^3-x^2+23x+1\) 1518.2.0.?
48576.c1 48576.c \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\mathsf{trivial}$ $1.128924087$ $[0, -1, 0, -177, 969]$ \(y^2=x^3-x^2-177x+969\) 1518.2.0.?
48576.d1 48576.d \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -9170657, -10685875839]$ \(y^2=x^3-x^2-9170657x-10685875839\) 2024.2.0.?
48576.e1 48576.e \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\mathsf{trivial}$ $58.85186184$ $[0, -1, 0, -1472017, -686922071]$ \(y^2=x^3-x^2-1472017x-686922071\) 1518.2.0.?
48576.f1 48576.f \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\mathsf{trivial}$ $1.372443207$ $[0, -1, 0, -737, -7359]$ \(y^2=x^3-x^2-737x-7359\) 2024.2.0.?
48576.g1 48576.g \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\mathsf{trivial}$ $5.534401753$ $[0, -1, 0, -203808129, -1122276376287]$ \(y^2=x^3-x^2-203808129x-1122276376287\) 6072.2.0.?
48576.h1 48576.h \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\mathsf{trivial}$ $1.636846952$ $[0, -1, 0, -769, -8447]$ \(y^2=x^3-x^2-769x-8447\) 6072.2.0.?
48576.i1 48576.i \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z$ $3.174228142$ $[0, -1, 0, -6049, 182689]$ \(y^2=x^3-x^2-6049x+182689\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 88.12.0.?, 138.6.0.?, $\ldots$
48576.i2 48576.i \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.587114071$ $[0, -1, 0, -529, 529]$ \(y^2=x^3-x^2-529x+529\) 2.6.0.a.1, 24.12.0-2.a.1.1, 88.12.0.?, 132.12.0.?, 184.12.0.?, $\ldots$
48576.i3 48576.i \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z$ $3.174228142$ $[0, -1, 0, -349, -2387]$ \(y^2=x^3-x^2-349x-2387\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 88.12.0.?, 184.12.0.?, $\ldots$
48576.i4 48576.i \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z$ $3.174228142$ $[0, -1, 0, 2111, 2113]$ \(y^2=x^3-x^2+2111x+2113\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 88.12.0.?, 132.12.0.?, $\ldots$
48576.j1 48576.j \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z$ $5.803743515$ $[0, -1, 0, -1381729, 625608193]$ \(y^2=x^3-x^2-1381729x+625608193\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.14, 506.6.0.?, $\ldots$
48576.j2 48576.j \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z$ $1.450935878$ $[0, -1, 0, -101729, 6086145]$ \(y^2=x^3-x^2-101729x+6086145\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$
48576.j3 48576.j \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.901871757$ $[0, -1, 0, -86369, 9794049]$ \(y^2=x^3-x^2-86369x+9794049\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 1012.12.0.?, $\ldots$
48576.j4 48576.j \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z$ $5.803743515$ $[0, -1, 0, -4449, 209409]$ \(y^2=x^3-x^2-4449x+209409\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 1518.6.0.?, $\ldots$
48576.k1 48576.k \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z$ $1.062384835$ $[0, -1, 0, -304689, 64835793]$ \(y^2=x^3-x^2-304689x+64835793\) 2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.?
48576.k2 48576.k \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z$ $2.124769670$ $[0, -1, 0, -19029, 1019349]$ \(y^2=x^3-x^2-19029x+1019349\) 2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.?
48576.l1 48576.l \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 671, 3553]$ \(y^2=x^3-x^2+671x+3553\) 6072.2.0.?
48576.m1 48576.m \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z$ $51.69418235$ $[0, -1, 0, -3189525569, 69333624692289]$ \(y^2=x^3-x^2-3189525569x+69333624692289\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 138.6.0.?, $\ldots$
48576.m2 48576.m \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z$ $51.69418235$ $[0, -1, 0, -229100609, 738783239745]$ \(y^2=x^3-x^2-229100609x+738783239745\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$
48576.m3 48576.m \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $25.84709117$ $[0, -1, 0, -199363649, 1083178868289]$ \(y^2=x^3-x^2-199363649x+1083178868289\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 92.12.0.?, $\ldots$
48576.m4 48576.m \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z$ $12.92354558$ $[0, -1, 0, -10619969, 22099648065]$ \(y^2=x^3-x^2-10619969x+22099648065\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.14, 46.6.0.a.1, $\ldots$
48576.n1 48576.n \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -401, -3111]$ \(y^2=x^3-x^2-401x-3111\) 1518.2.0.?
48576.o1 48576.o \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\mathsf{trivial}$ $0.731987011$ $[0, -1, 0, -29921, 2000769]$ \(y^2=x^3-x^2-29921x+2000769\) 2024.2.0.?
48576.p1 48576.p \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -41, 177]$ \(y^2=x^3-x^2-41x+177\) 1518.2.0.?
48576.q1 48576.q \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $2$ $\mathsf{trivial}$ $1.782855769$ $[0, -1, 0, -7521, -43263]$ \(y^2=x^3-x^2-7521x-43263\) 2024.2.0.?
48576.r1 48576.r \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\mathsf{trivial}$ $1.707790645$ $[0, -1, 0, -1184481, 456273729]$ \(y^2=x^3-x^2-1184481x+456273729\) 2024.2.0.?
48576.s1 48576.s \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $2$ $\Z/2\Z$ $3.960974097$ $[0, -1, 0, -12673, 279841]$ \(y^2=x^3-x^2-12673x+279841\) 2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?
48576.s2 48576.s \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $2$ $\Z/2\Z$ $3.960974097$ $[0, -1, 0, 2687, 31009]$ \(y^2=x^3-x^2+2687x+31009\) 2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.?
48576.t1 48576.t \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z$ $1.308338294$ $[0, -1, 0, -79233, 8544033]$ \(y^2=x^3-x^2-79233x+8544033\) 2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?
48576.t2 48576.t \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z$ $2.616676589$ $[0, -1, 0, -1473, 317025]$ \(y^2=x^3-x^2-1473x+317025\) 2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.?
48576.u1 48576.u \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z$ $8.043374581$ $[0, -1, 0, -1353, -18711]$ \(y^2=x^3-x^2-1353x-18711\) 2.3.0.a.1, 12.6.0.b.1, 506.6.0.?, 3036.12.0.?
48576.u2 48576.u \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\Z/2\Z$ $4.021687290$ $[0, -1, 0, -88, -242]$ \(y^2=x^3-x^2-88x-242\) 2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?
48576.v1 48576.v \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -913, -6575]$ \(y^2=x^3-x^2-913x-6575\) 2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?
48576.v2 48576.v \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -373, 2821]$ \(y^2=x^3-x^2-373x+2821\) 2.3.0.a.1, 12.6.0.b.1, 506.6.0.?, 3036.12.0.?
48576.w1 48576.w \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1391105, 449427969]$ \(y^2=x^3-x^2-1391105x+449427969\) 2024.2.0.?
48576.x1 48576.x \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -3962145, -3034204767]$ \(y^2=x^3-x^2-3962145x-3034204767\) 2024.2.0.?
48576.y1 48576.y \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1545, -60591]$ \(y^2=x^3-x^2-1545x-60591\) 1518.2.0.?
48576.z1 48576.z \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\mathsf{trivial}$ $2.465041342$ $[0, -1, 0, -4225, -97151]$ \(y^2=x^3-x^2-4225x-97151\) 2024.2.0.?
48576.ba1 48576.ba \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -6425, 311169]$ \(y^2=x^3-x^2-6425x+311169\) 1518.2.0.?
48576.bb1 48576.bb \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\mathsf{trivial}$ $5.107843135$ $[0, -1, 0, -665, 8049]$ \(y^2=x^3-x^2-665x+8049\) 1518.2.0.?
48576.bc1 48576.bc \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\mathsf{trivial}$ $0.649533205$ $[0, -1, 0, -225, -927]$ \(y^2=x^3-x^2-225x-927\) 2024.2.0.?
48576.bd1 48576.bd \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -161985, -23227551]$ \(y^2=x^3-x^2-161985x-23227551\) 2024.2.0.?
48576.be1 48576.be \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $1$ $\mathsf{trivial}$ $1.094359024$ $[0, -1, 0, -1825, -28991]$ \(y^2=x^3-x^2-1825x-28991\) 2024.2.0.?
48576.bf1 48576.bf \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -11029217, -12260211327]$ \(y^2=x^3-x^2-11029217x-12260211327\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$
48576.bf2 48576.bf \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -2903777, 1713920385]$ \(y^2=x^3-x^2-2903777x+1713920385\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 44.12.0.b.1, $\ldots$
48576.bf3 48576.bf \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2821857, 1825446273]$ \(y^2=x^3-x^2-2821857x+1825446273\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 66.6.0.a.1, $\ldots$
48576.bf4 48576.bf \( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 3910943, 8549084545]$ \(y^2=x^3-x^2+3910943x+8549084545\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 22.6.0.a.1, 24.24.0-24.ba.1.14, $\ldots$
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